• Table of Contents
• Index
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Global Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

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T

U

V

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X

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Z

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other

(5472 entries)

Notation Index

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K

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other

(309 entries)

Binder Index

A

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C

D

E

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J

K

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M

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O

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other

(3342 entries)

Module Index

A

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C

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other

(70 entries)

Variable Index

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J

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O

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other

(15 entries)

Library Index

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J

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O

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other

(22 entries)

Lemma Index

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C

D

E

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H

I

J

K

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other

(504 entries)

Constructor Index

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C

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E

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J

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other

(615 entries)

Axiom Index

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B

C

D

E

F

G

H

I

J

K

L

M

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O

P

Q

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other

(12 entries)

Inductive Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

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other

(118 entries)

Section Index

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C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

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T

U

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X

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Z

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other

(4 entries)

Abbreviation Index

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B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

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other

(60 entries)

Definition Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

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T

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X

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other

(401 entries)

---

Global Index

A

aequiv [definition, in Equiv]
aequiv_example [lemma, in Equiv]
aeval_weakening [lemma, in Equiv]
Aexp [definition, in Hoare]
Aexp_of_aexp [definition, in Hoare]
Aexp_of_nat [definition, in Hoare]
afi_snd [constructor, in Norm]
afi_fst [constructor, in Norm]
afi_pair2 [constructor, in Norm]
afi_pair1 [constructor, in Norm]
afi_test2 [constructor, in Norm]
afi_test1 [constructor, in Norm]
afi_test0 [constructor, in Norm]
afi_abs [constructor, in Norm]
afi_app2 [constructor, in Norm]
afi_app1 [constructor, in Norm]
afi_var [constructor, in Norm]
always_loop_hoare [lemma, in Hoare]
ap [definition, in Hoare]
appears_free_in [inductive, in Norm]
applys_eq_step [lemma, in LibTactics]
applys_eq_step_dep [lemma, in LibTactics]
applys_eq_init [lemma, in LibTactics]
ap₂ [definition, in Hoare]
args_eq_7 [lemma, in LibTactics]
args_eq_6 [lemma, in LibTactics]
args_eq_5 [lemma, in LibTactics]
args_eq_4 [lemma, in LibTactics]
args_eq_3 [lemma, in LibTactics]
args_eq_2 [lemma, in LibTactics]
args_eq_1 [lemma, in LibTactics]
assert [abbreviation, in Hoare]
Assertion [definition, in Hoare]
assert_of_Prop [definition, in Hoare]
assert_implies [definition, in Hoare]
Assign [constructor, in PE]
assign [definition, in PE]
assigned [definition, in PE]
assign_aequiv [lemma, in Equiv]
assign_removes [lemma, in PE]
assn_sub_ex₂' [definition, in Hoare]
assn_sub_ex₁' [definition, in Hoare]
assn_sub_example2'' [definition, in Hoare]
assn_sub_example2' [definition, in Hoare]
assn_sub_example2 [definition, in Hoare]
assn_sub_example [definition, in Hoare]
assn_sub [definition, in Hoare]
astep [inductive, in Smallstep]
AS_Mult [constructor, in Smallstep]
AS_Mult2 [constructor, in Smallstep]
AS_Mult1 [constructor, in Smallstep]
AS_Minus [constructor, in Smallstep]
AS_Minus2 [constructor, in Smallstep]
AS_Minus1 [constructor, in Smallstep]
AS_Plus [constructor, in Smallstep]
AS_Plus2 [constructor, in Smallstep]
AS_Plus1 [constructor, in Smallstep]
AS_Id [constructor, in Smallstep]
atrans_sound [definition, in Equiv]
atrans:91 [binder, in Equiv]
aval [inductive, in Smallstep]
av_num [constructor, in Smallstep]
a':64 [binder, in Equiv]
a₁':136 [binder, in PE]
a₁':195 [binder, in Smallstep]
a₁':203 [binder, in Smallstep]
a₁':210 [binder, in PE]
a₁':211 [binder, in Smallstep]
a₁':222 [binder, in Smallstep]
a₁':230 [binder, in Smallstep]
a₁':250 [binder, in Smallstep]
a₁':282 [binder, in Smallstep]
a₁:1 [binder, in Equiv]
a₁:120 [binder, in Equiv]
a₁:125 [binder, in Hoare]
a₁:127 [binder, in Equiv]
a₁:129 [binder, in Equiv]
a₁:131 [binder, in Equiv]
a₁:131 [binder, in PE]
a₁:135 [binder, in PE]
a₁:16 [binder, in PE]
a₁:173 [binder, in Hoare]
a₁:179 [binder, in Equiv]
a₁:194 [binder, in Smallstep]
a₁:202 [binder, in Smallstep]
a₁:205 [binder, in PE]
a₁:209 [binder, in PE]
a₁:210 [binder, in Smallstep]
a₁:210 [binder, in Hoare]
a₁:221 [binder, in Smallstep]
a₁:229 [binder, in Smallstep]
a₁:249 [binder, in Smallstep]
a₁:265 [binder, in Hoare]
a₁:281 [binder, in Smallstep]
a₁:324 [binder, in PE]
a₁:45 [binder, in Equiv]
a₁:47 [binder, in Equiv]
a₂':199 [binder, in Smallstep]
a₂':207 [binder, in Smallstep]
a₂':215 [binder, in Smallstep]
a₂':226 [binder, in Smallstep]
a₂':234 [binder, in Smallstep]
a₂:121 [binder, in Equiv]
a₂:128 [binder, in Equiv]
a₂:130 [binder, in Equiv]
a₂:132 [binder, in Equiv]
a₂:17 [binder, in PE]
a₂:180 [binder, in Equiv]
a₂:196 [binder, in Smallstep]
a₂:198 [binder, in Smallstep]
a₂:2 [binder, in Equiv]
a₂:204 [binder, in Smallstep]
a₂:206 [binder, in Smallstep]
a₂:212 [binder, in Smallstep]
a₂:214 [binder, in Smallstep]
a₂:223 [binder, in Smallstep]
a₂:225 [binder, in Smallstep]
a₂:231 [binder, in Smallstep]
a₂:233 [binder, in Smallstep]
a₂:46 [binder, in Equiv]
a₂:48 [binder, in Equiv]
a₃:49 [binder, in Equiv]
a:10 [binder, in Hoare]
a:10 [binder, in PE]
a:106 [binder, in Hoare]
a:106 [binder, in Equiv]
a:108 [binder, in Hoare]
A:108 [binder, in LibTactics]
a:11 [binder, in HoareAsLogic]
A:112 [binder, in LibTactics]
a:115 [binder, in Equiv]
A:117 [binder, in UseAuto]
a:135 [binder, in Equiv]
A:14 [binder, in PE]
a:143 [binder, in Equiv]
A:16 [binder, in LibTactics]
a:162 [binder, in Hoare]
A:17 [binder, in LibTactics]
a:18 [binder, in PE]
A:20 [binder, in LibTactics]
a:208 [binder, in UseAuto]
A:21 [binder, in References]
a:21 [binder, in PE]
a:211 [binder, in UseAuto]
a:216 [binder, in UseAuto]
A:237 [binder, in References]
A:25 [binder, in LibTactics]
A:27 [binder, in LibTactics]
A:28 [binder, in References]
a:29 [binder, in LibTactics]
A:3 [binder, in LibTactics]
a:30 [binder, in LibTactics]
a:30 [binder, in PE]
A:31 [binder, in References]
a:31 [binder, in LibTactics]
a:317 [binder, in Hoare]
a:32 [binder, in LibTactics]
a:42 [binder, in UseAuto]
a:43 [binder, in UseAuto]
a:43 [binder, in Equiv]
a:44 [binder, in UseTactics]
a:44 [binder, in Equiv]
a:46 [binder, in UseTactics]
a:46 [binder, in PE]
a:51 [binder, in Hoare2]
a:51 [binder, in UseTactics]
a:53 [binder, in Hoare2]
a:55 [binder, in Hoare]
a:60 [binder, in Hoare]
a:63 [binder, in Equiv]
a:64 [binder, in Hoare]
a:68 [binder, in Hoare]
a:7 [binder, in Hoare2]
a:72 [binder, in Hoare2]
a:73 [binder, in Typechecking]
a:74 [binder, in Hoare2]
a:76 [binder, in Hoare2]
a:79 [binder, in Hoare2]
A:8 [binder, in PE]
a:84 [binder, in UseTactics]
a:85 [binder, in UseTactics]
a:92 [binder, in Equiv]
a:95 [binder, in Hoare2]
a:97 [binder, in Equiv]

B

bassn [definition, in Hoare]
bequiv [definition, in Equiv]
bequiv_example [lemma, in Equiv]
bexp_eval_false [lemma, in Hoare]
Bib [library]
block [inductive, in PE]
body [constructor, in PE]
boxer [constructor, in LibTactics]
Boxer [inductive, in LibTactics]
bstep [inductive, in Smallstep]
BS_AndTrueFalse [constructor, in Smallstep]
BS_AndTrueTrue [constructor, in Smallstep]
BS_AndFalse [constructor, in Smallstep]
BS_AndTrueStep [constructor, in Smallstep]
BS_AndStep [constructor, in Smallstep]
BS_NotFalse [constructor, in Smallstep]
BS_NotTrue [constructor, in Smallstep]
BS_NotStep [constructor, in Smallstep]
BS_LtEq [constructor, in Smallstep]
BS_LtEq2 [constructor, in Smallstep]
BS_LtEq1 [constructor, in Smallstep]
BS_Eq [constructor, in Smallstep]
BS_Eq₂ [constructor, in Smallstep]
BS_Eq₁ [constructor, in Smallstep]
btrans_sound [definition, in Equiv]
btrans:93 [binder, in Equiv]
b':66 [binder, in Equiv]
b':70 [binder, in Equiv]
b':76 [binder, in Equiv]
b':86 [binder, in Equiv]
b₁':238 [binder, in Smallstep]
b₁':240 [binder, in Smallstep]
b₁':263 [binder, in Smallstep]
b₁':295 [binder, in Smallstep]
b₁:148 [binder, in PE]
b₁:154 [binder, in PE]
b₁:161 [binder, in PE]
b₁:223 [binder, in PE]
b₁:230 [binder, in PE]
b₁:237 [binder, in Smallstep]
b₁:238 [binder, in PE]
b₁:239 [binder, in Smallstep]
b₁:245 [binder, in PE]
b₁:250 [binder, in PE]
b₁:258 [binder, in PE]
b₁:262 [binder, in Smallstep]
b₁:264 [binder, in PE]
b₁:269 [binder, in PE]
b₁:273 [binder, in Smallstep]
b₁:276 [binder, in PE]
b₁:294 [binder, in Smallstep]
b₁:305 [binder, in Smallstep]
b₁:336 [binder, in PE]
b₁:342 [binder, in PE]
b₁:346 [binder, in PE]
b₁:352 [binder, in PE]
b₁:4 [binder, in Equiv]
b₁:51 [binder, in Equiv]
b₁:53 [binder, in Equiv]
b₂':243 [binder, in Smallstep]
b₂:241 [binder, in Smallstep]
b₂:242 [binder, in Smallstep]
b₂:244 [binder, in Smallstep]
b₂:5 [binder, in Equiv]
b₂:52 [binder, in Equiv]
b₂:54 [binder, in Equiv]
b₃:55 [binder, in Equiv]
b:100 [binder, in Equiv]
B:107 [binder, in LibTactics]
b:108 [binder, in Equiv]
b:110 [binder, in Hoare]
b:112 [binder, in Hoare]
B:113 [binder, in LibTactics]
b:116 [binder, in Hoare]
b:135 [binder, in Hoare]
b:140 [binder, in Hoare]
b:143 [binder, in Hoare]
b:149 [binder, in Hoare]
b:15 [binder, in Hoare2]
b:153 [binder, in Equiv]
b:158 [binder, in Equiv]
b:161 [binder, in Equiv]
b:164 [binder, in Hoare]
b:167 [binder, in Equiv]
b:183 [binder, in Hoare]
b:188 [binder, in Hoare]
b:19 [binder, in Equiv]
b:19 [binder, in HoareAsLogic]
b:191 [binder, in Hoare]
b:197 [binder, in Hoare]
b:22 [binder, in Equiv]
b:220 [binder, in Hoare]
b:225 [binder, in Hoare]
b:228 [binder, in Hoare]
b:234 [binder, in Hoare]
b:25 [binder, in Equiv]
b:25 [binder, in HoareAsLogic]
b:278 [binder, in Hoare]
b:28 [binder, in Equiv]
b:283 [binder, in Hoare]
b:286 [binder, in Hoare]
b:292 [binder, in Hoare]
b:295 [binder, in Hoare]
b:298 [binder, in Hoare]
b:30 [binder, in Equiv]
b:300 [binder, in Hoare]
b:302 [binder, in Hoare]
b:310 [binder, in Hoare]
b:313 [binder, in Hoare]
b:336 [binder, in Hoare]
b:34 [binder, in Equiv]
b:340 [binder, in Hoare]
b:36 [binder, in Equiv]
b:45 [binder, in UseTactics]
b:47 [binder, in UseTactics]
b:49 [binder, in PE]
b:50 [binder, in Equiv]
b:52 [binder, in Hoare2]
b:52 [binder, in UseTactics]
b:52 [binder, in PE]
b:54 [binder, in Hoare2]
b:54 [binder, in PE]
b:65 [binder, in Equiv]
b:67 [binder, in UseTactics]
b:68 [binder, in HoareAsLogic]
b:69 [binder, in Equiv]
b:72 [binder, in Typechecking]
b:73 [binder, in Hoare2]
b:75 [binder, in Hoare2]
b:75 [binder, in Equiv]
b:77 [binder, in Hoare2]
b:80 [binder, in Hoare2]
b:85 [binder, in Equiv]
b:9 [binder, in Hoare2]
b:94 [binder, in Equiv]

C

C [constructor, in Smallstep]
capprox [definition, in Equiv]
CAsgn_congruence [lemma, in Equiv]
cequiv [definition, in Equiv]
ceval_extensionality [lemma, in PE]
CIf_congruence [lemma, in Equiv]
CImp [module, in Smallstep]
CImp.CAsgn [constructor, in Smallstep]
CImp.CIf [constructor, in Smallstep]
CImp.cmultistep [definition, in Smallstep]
CImp.com [inductive, in Smallstep]
CImp.CPar [constructor, in Smallstep]
CImp.CSeq [constructor, in Smallstep]
CImp.CSkip [constructor, in Smallstep]
CImp.cstep [inductive, in Smallstep]
CImp.CS_ParDone [constructor, in Smallstep]
CImp.CS_Par2 [constructor, in Smallstep]
CImp.CS_Par1 [constructor, in Smallstep]
CImp.CS_While [constructor, in Smallstep]
CImp.CS_IfFalse [constructor, in Smallstep]
CImp.CS_IfTrue [constructor, in Smallstep]
CImp.CS_IfStep [constructor, in Smallstep]
CImp.CS_SeqFinish [constructor, in Smallstep]
CImp.CS_SeqStep [constructor, in Smallstep]
CImp.CS_Asgn [constructor, in Smallstep]
CImp.CS_AsgnStep [constructor, in Smallstep]
CImp.CWhile [constructor, in Smallstep]
CImp.par_loop_any_X [lemma, in Smallstep]
CImp.par_body_n [lemma, in Smallstep]
CImp.par_body_n__Sn [lemma, in Smallstep]
CImp.par_loop_example_2 [definition, in Smallstep]
CImp.par_loop_example_0 [definition, in Smallstep]
CImp.par_loop [definition, in Smallstep]
com:_ ; _ [notation, in Smallstep]
com:_ := _ [notation, in Smallstep]
com:_ || _ [notation, in Smallstep]
com:if _ then _ else _ end [notation, in Smallstep]
com:skip [notation, in Smallstep]
com:while _ do _ end [notation, in Smallstep]
_ / _ -->* _ / _ [notation, in Smallstep]
_ / _ --> _ / _ [notation, in Smallstep]
closed [definition, in Norm]
closed_env [definition, in Norm]
cmin [definition, in Equiv]
cmin_minimal [lemma, in Equiv]
COIND [definition, in LibTactics]
Combined [module, in Smallstep]
Combined.C [constructor, in Smallstep]
Combined.combined_strong_progress [lemma, in Smallstep]
Combined.combined_step_deterministic [lemma, in Smallstep]
Combined.fls [constructor, in Smallstep]
Combined.P [constructor, in Smallstep]
Combined.step [inductive, in Smallstep]
Combined.ST_If [constructor, in Smallstep]
Combined.ST_IfFalse [constructor, in Smallstep]
Combined.ST_IfTrue [constructor, in Smallstep]
Combined.ST_Plus2 [constructor, in Smallstep]
Combined.ST_Plus1 [constructor, in Smallstep]
Combined.ST_PlusConstConst [constructor, in Smallstep]
Combined.test [constructor, in Smallstep]
Combined.tm [inductive, in Smallstep]
Combined.tru [constructor, in Smallstep]
Combined.value [inductive, in Smallstep]
Combined.v_fls [constructor, in Smallstep]
Combined.v_tru [constructor, in Smallstep]
Combined.v_const [constructor, in Smallstep]
_ --> _ [notation, in Smallstep]
compiler_is_correct [lemma, in Smallstep]
compiler_is_correct_statement [definition, in Smallstep]
congruence_demo_3 [lemma, in UseAuto]
congruence_demo_4 [lemma, in UseAuto]
congruence_demo_2 [lemma, in UseAuto]
congruence_demo_1 [lemma, in UseAuto]
congruence_example [definition, in Equiv]
context [definition, in Norm]
context_invariance [lemma, in Norm]
CSeq_congruence [lemma, in Equiv]
cstep [inductive, in Smallstep]
CS_While [constructor, in Smallstep]
CS_IfFalse [constructor, in Smallstep]
CS_IfTrue [constructor, in Smallstep]
CS_IfStep [constructor, in Smallstep]
CS_SeqFinish [constructor, in Smallstep]
CS_SeqStep [constructor, in Smallstep]
CS_Asgn [constructor, in Smallstep]
CS_AsgnStep [constructor, in Smallstep]
ctrans_sound [definition, in Equiv]
ctrans:95 [binder, in Equiv]
CWhile_congruence [lemma, in Equiv]
c'':220 [binder, in PE]
c'':227 [binder, in PE]
c'':234 [binder, in PE]
c'':243 [binder, in PE]
c'':372 [binder, in PE]
c'':382 [binder, in PE]
c'':391 [binder, in PE]
c'':399 [binder, in PE]
c':16 [binder, in Types]
c':176 [binder, in PE]
c':186 [binder, in PE]
c':188 [binder, in Equiv]
c':192 [binder, in PE]
c':198 [binder, in PE]
c':370 [binder, in PE]
c':380 [binder, in PE]
c':390 [binder, in PE]
c':398 [binder, in PE]
c':406 [binder, in PE]
c':68 [binder, in Equiv]
c':72 [binder, in Equiv]
c':78 [binder, in Equiv]
c₁':144 [binder, in PE]
c₁':151 [binder, in PE]
c₁':164 [binder, in PE]
c₁':218 [binder, in PE]
c₁':226 [binder, in PE]
c₁':241 [binder, in PE]
c₁':252 [binder, in PE]
c₁':256 [binder, in Smallstep]
c₁':260 [binder, in PE]
c₁':271 [binder, in PE]
c₁':278 [binder, in PE]
c₁':288 [binder, in Smallstep]
c₁':309 [binder, in Smallstep]
c₁':82 [binder, in Equiv]
c₁':88 [binder, in Equiv]
c₁:11 [binder, in Equiv]
c₁:117 [binder, in Hoare]
c₁:128 [binder, in Hoare]
c₁:136 [binder, in Hoare]
c₁:141 [binder, in Hoare]
c₁:142 [binder, in PE]
c₁:146 [binder, in Equiv]
c₁:149 [binder, in PE]
c₁:154 [binder, in Equiv]
c₁:155 [binder, in PE]
c₁:159 [binder, in Equiv]
c₁:162 [binder, in PE]
c₁:169 [binder, in Equiv]
c₁:17 [binder, in Equiv]
c₁:176 [binder, in Hoare]
c₁:181 [binder, in Equiv]
c₁:184 [binder, in Hoare]
c₁:189 [binder, in Hoare]
c₁:20 [binder, in Equiv]
c₁:20 [binder, in HoareAsLogic]
c₁:213 [binder, in Hoare]
c₁:216 [binder, in PE]
c₁:221 [binder, in Hoare]
c₁:224 [binder, in PE]
c₁:226 [binder, in Hoare]
c₁:23 [binder, in Equiv]
c₁:231 [binder, in PE]
c₁:239 [binder, in PE]
c₁:246 [binder, in PE]
c₁:251 [binder, in PE]
c₁:255 [binder, in Smallstep]
c₁:259 [binder, in PE]
c₁:26 [binder, in Equiv]
c₁:264 [binder, in Smallstep]
c₁:265 [binder, in PE]
c₁:267 [binder, in Smallstep]
c₁:268 [binder, in Hoare]
c₁:270 [binder, in Smallstep]
c₁:270 [binder, in PE]
c₁:273 [binder, in Hoare]
c₁:274 [binder, in Smallstep]
c₁:277 [binder, in PE]
c₁:279 [binder, in Hoare]
c₁:284 [binder, in Hoare]
c₁:287 [binder, in Smallstep]
c₁:296 [binder, in Smallstep]
c₁:299 [binder, in Smallstep]
c₁:302 [binder, in Smallstep]
c₁:306 [binder, in Smallstep]
c₁:308 [binder, in Smallstep]
c₁:313 [binder, in Smallstep]
c₁:327 [binder, in PE]
c₁:331 [binder, in Hoare]
c₁:337 [binder, in Hoare]
c₁:337 [binder, in PE]
c₁:343 [binder, in PE]
c₁:348 [binder, in PE]
c₁:353 [binder, in PE]
c₁:38 [binder, in Equiv]
c₁:52 [binder, in Hoare]
c₁:57 [binder, in Equiv]
c₁:59 [binder, in Equiv]
c₁:66 [binder, in HoareAsLogic]
c₁:7 [binder, in Equiv]
c₁:81 [binder, in Equiv]
c₁:87 [binder, in Equiv]
c₂'':254 [binder, in PE]
c₂'':262 [binder, in PE]
c₂':145 [binder, in PE]
c₂':157 [binder, in PE]
c₂':165 [binder, in PE]
c₂':219 [binder, in PE]
c₂':233 [binder, in PE]
c₂':242 [binder, in PE]
c₂':253 [binder, in PE]
c₂':261 [binder, in PE]
c₂':272 [binder, in PE]
c₂':279 [binder, in PE]
c₂':315 [binder, in Smallstep]
c₂':84 [binder, in Equiv]
c₂':90 [binder, in Equiv]
c₂:118 [binder, in Hoare]
c₂:12 [binder, in Equiv]
c₂:129 [binder, in Hoare]
c₂:137 [binder, in Hoare]
c₂:142 [binder, in Hoare]
c₂:143 [binder, in PE]
c₂:147 [binder, in Equiv]
c₂:150 [binder, in PE]
c₂:155 [binder, in Equiv]
c₂:156 [binder, in PE]
c₂:160 [binder, in Equiv]
c₂:163 [binder, in PE]
c₂:170 [binder, in Equiv]
c₂:177 [binder, in Hoare]
c₂:18 [binder, in Equiv]
c₂:182 [binder, in Equiv]
c₂:185 [binder, in Hoare]
c₂:190 [binder, in Hoare]
c₂:21 [binder, in Equiv]
c₂:21 [binder, in HoareAsLogic]
c₂:214 [binder, in Hoare]
c₂:217 [binder, in PE]
c₂:222 [binder, in Hoare]
c₂:225 [binder, in PE]
c₂:227 [binder, in Hoare]
c₂:232 [binder, in PE]
c₂:24 [binder, in Equiv]
c₂:240 [binder, in PE]
c₂:258 [binder, in Smallstep]
c₂:260 [binder, in Smallstep]
c₂:265 [binder, in Smallstep]
c₂:268 [binder, in Smallstep]
c₂:269 [binder, in Hoare]
c₂:27 [binder, in Equiv]
c₂:271 [binder, in Smallstep]
c₂:274 [binder, in Hoare]
c₂:280 [binder, in Hoare]
c₂:285 [binder, in Hoare]
c₂:290 [binder, in Smallstep]
c₂:292 [binder, in Smallstep]
c₂:297 [binder, in Smallstep]
c₂:300 [binder, in Smallstep]
c₂:303 [binder, in Smallstep]
c₂:310 [binder, in Smallstep]
c₂:314 [binder, in Smallstep]
c₂:328 [binder, in PE]
c₂:332 [binder, in Hoare]
c₂:338 [binder, in Hoare]
c₂:338 [binder, in PE]
c₂:344 [binder, in PE]
c₂:39 [binder, in Equiv]
c₂:53 [binder, in Hoare]
c₂:58 [binder, in Equiv]
c₂:60 [binder, in Equiv]
c₂:67 [binder, in HoareAsLogic]
c₂:8 [binder, in Equiv]
c₂:83 [binder, in Equiv]
c₂:89 [binder, in Equiv]
c₃ [definition, in Equiv]
c3_c4_different [lemma, in Equiv]
c₃:40 [binder, in Equiv]
c₃:61 [binder, in Equiv]
c₄ [definition, in Equiv]
c:1 [binder, in UseTactics]
c:101 [binder, in Hoare]
c:103 [binder, in Equiv]
c:105 [binder, in Hoare]
c:11 [binder, in UseTactics]
c:110 [binder, in Equiv]
c:112 [binder, in Equiv]
c:119 [binder, in PE]
c:13 [binder, in HoareAsLogic]
c:145 [binder, in Hoare]
c:15 [binder, in Types]
c:15 [binder, in Equiv]
c:150 [binder, in Hoare]
c:152 [binder, in Hoare]
c:159 [binder, in Hoare]
c:16 [binder, in Equiv]
c:163 [binder, in Equiv]
c:165 [binder, in Hoare]
c:166 [binder, in PE]
c:168 [binder, in Equiv]
c:168 [binder, in PE]
c:170 [binder, in PE]
c:172 [binder, in PE]
c:174 [binder, in PE]
c:183 [binder, in PE]
c:185 [binder, in Equiv]
c:186 [binder, in Equiv]
c:187 [binder, in Equiv]
c:189 [binder, in PE]
c:193 [binder, in Hoare]
c:195 [binder, in PE]
c:198 [binder, in Hoare]
c:2 [binder, in HoareAsLogic]
c:200 [binder, in Hoare]
c:203 [binder, in Norm]
c:21 [binder, in UseTactics]
c:22 [binder, in UseTactics]
c:230 [binder, in Hoare]
c:235 [binder, in Hoare]
c:240 [binder, in Hoare]
c:241 [binder, in Norm]
c:243 [binder, in Norm]
c:247 [binder, in Hoare]
c:247 [binder, in Norm]
c:252 [binder, in Norm]
c:254 [binder, in Norm]
c:259 [binder, in Norm]
c:26 [binder, in UseTactics]
c:26 [binder, in HoareAsLogic]
c:265 [binder, in Norm]
c:270 [binder, in Norm]
c:280 [binder, in PE]
c:282 [binder, in PE]
c:284 [binder, in PE]
c:286 [binder, in PE]
c:288 [binder, in Hoare]
c:288 [binder, in PE]
c:29 [binder, in Equiv]
c:290 [binder, in PE]
c:292 [binder, in PE]
c:293 [binder, in Hoare]
c:294 [binder, in PE]
c:296 [binder, in Hoare]
c:296 [binder, in PE]
c:298 [binder, in PE]
c:30 [binder, in UseTactics]
c:300 [binder, in PE]
c:302 [binder, in PE]
c:304 [binder, in Hoare]
c:304 [binder, in PE]
c:306 [binder, in PE]
c:308 [binder, in PE]
c:31 [binder, in Equiv]
c:310 [binder, in PE]
c:312 [binder, in PE]
c:314 [binder, in PE]
c:316 [binder, in PE]
c:318 [binder, in PE]
c:321 [binder, in Hoare]
c:325 [binder, in Hoare]
c:33 [binder, in HoareAsLogic]
c:341 [binder, in Hoare]
c:35 [binder, in Equiv]
c:356 [binder, in PE]
c:36 [binder, in Hoare]
c:360 [binder, in PE]
c:37 [binder, in Equiv]
c:387 [binder, in PE]
c:39 [binder, in HoareAsLogic]
c:395 [binder, in PE]
c:403 [binder, in PE]
c:42 [binder, in Hoare]
c:44 [binder, in HoareAsLogic]
c:46 [binder, in Hoare]
c:48 [binder, in HoareAsLogic]
c:50 [binder, in HoareAsLogic]
c:53 [binder, in UseTactics]
c:53 [binder, in HoareAsLogic]
c:55 [binder, in HoareAsLogic]
c:56 [binder, in Equiv]
c:59 [binder, in HoareAsLogic]
c:61 [binder, in HoareAsLogic]
c:66 [binder, in UseAuto]
c:67 [binder, in Equiv]
c:69 [binder, in HoareAsLogic]
c:70 [binder, in UseAuto]
c:71 [binder, in Equiv]
c:72 [binder, in HoareAsLogic]
c:74 [binder, in UseAuto]
c:76 [binder, in Hoare]
c:77 [binder, in Equiv]
c:78 [binder, in UseAuto]
c:78 [binder, in Hoare2]
c:80 [binder, in Hoare]
c:81 [binder, in Hoare2]
c:82 [binder, in UseAuto]
c:85 [binder, in Hoare]
c:86 [binder, in UseTactics]
c:89 [binder, in Hoare]
c:90 [binder, in Hoare2]
c:90 [binder, in UseTactics]
c:93 [binder, in Hoare]
c:96 [binder, in Equiv]
c:97 [binder, in Hoare]

D

DCAsgn [constructor, in Hoare2]
DCIf [constructor, in Hoare2]
dcom [inductive, in Hoare2]
DCPost [constructor, in Hoare2]
DCPre [constructor, in Hoare2]
DCSeq [constructor, in Hoare2]
DCSkip [constructor, in Hoare2]
DCWhile [constructor, in Hoare2]
Decorated [constructor, in Hoare2]
decorated [inductive, in Hoare2]
dec_while_correct [lemma, in Hoare2]
dec_while_triple_correct [definition, in Hoare2]
dec_while [definition, in Hoare2]
dec0 [definition, in Hoare2]
dec1 [definition, in Hoare2]
dec:28 [binder, in Hoare2]
dec:30 [binder, in Hoare2]
dec:35 [binder, in Hoare2]
dec:37 [binder, in Hoare2]
dec:44 [binder, in Hoare2]
dec:46 [binder, in Hoare2]
DemoAbsurd1 [section, in UseAuto]
demo_false [lemma, in UseAuto]
demo_auto_absurd_2 [lemma, in UseAuto]
demo_auto_absurd_1 [lemma, in UseAuto]
demo_hint_unfold_context_2 [lemma, in UseAuto]
demo_hint_unfold_context_1 [lemma, in UseAuto]
demo_hint_unfold_goal_2 [lemma, in UseAuto]
demo_hint_unfold_goal_1 [lemma, in UseAuto]
demo_tryfalse [lemma, in UseTactics]
demo_false_arg [lemma, in UseTactics]
demo_false [lemma, in UseTactics]
demo_clears_all_and_clears_but [lemma, in LibTactics]
derivable [inductive, in HoareAsLogic]
deterministic [definition, in Smallstep]
DeterministicImp [module, in UseAuto]
DeterministicImp.ceval_deterministic'''' [lemma, in UseAuto]
DeterministicImp.ceval_deterministic''' [lemma, in UseAuto]
DeterministicImp.ceval_deterministic'' [lemma, in UseAuto]
DeterministicImp.ceval_deterministic' [lemma, in UseAuto]
DeterministicImp.ceval_deterministic [lemma, in UseAuto]
dfib [definition, in Hoare2]
dfib_correct [lemma, in Hoare2]
div_mod_outer_triple_valid [lemma, in Hoare2]
div_mod_dec [definition, in Hoare2]
done [constructor, in PE]
dpow2_down_correct [lemma, in Hoare2]
dpow2_dec [definition, in Hoare2]
drop [definition, in Norm]
duplicate_subst [lemma, in Norm]
dup_lemma [lemma, in LibTactics]
d₁:11 [binder, in Hoare2]
d₁:4 [binder, in Hoare2]
d₂:13 [binder, in Hoare2]
d₂:5 [binder, in Hoare2]
d:120 [binder, in UseAuto]
D:14 [binder, in LibTactics]
d:15 [binder, in HoareAsLogic]
d:17 [binder, in Hoare2]
D:18 [binder, in LibTactics]
d:20 [binder, in Hoare2]
d:21 [binder, in Hoare2]
d:240 [binder, in References]
d:25 [binder, in Hoare2]
d:32 [binder, in Hoare2]
d:39 [binder, in Hoare2]
d:42 [binder, in Hoare2]
d:54 [binder, in UseTactics]

E

empty_pe_state [definition, in PE]
entry [constructor, in PE]
env [definition, in Norm]
env:225 [binder, in Norm]
env:228 [binder, in Norm]
env:260 [binder, in Norm]
env:271 [binder, in Norm]
eqb:15 [binder, in PE]
eqb:9 [binder, in PE]
EqualityExamples [module, in UseTactics]
EqualityExamples.big_expression_using [axiom, in UseTactics]
EqualityExamples.demo_applys_eq_2 [lemma, in UseTactics]
EqualityExamples.demo_applys_eq_1 [lemma, in UseTactics]
EqualityExamples.demo_fequals [lemma, in UseTactics]
EqualityExamples.demo_substs [lemma, in UseTactics]
EqualityExamples.mult_0_plus'' [lemma, in UseTactics]
EqualityExamples.mult_0_plus [lemma, in UseTactics]
equality_by_auto [lemma, in UseAuto]
equatesLemma [section, in LibTactics]
equatesLemma.A0 [variable, in LibTactics]
equatesLemma.A1 [variable, in LibTactics]
equatesLemma.A2 [variable, in LibTactics]
equatesLemma.A3 [variable, in LibTactics]
equatesLemma.A4 [variable, in LibTactics]
equatesLemma.A5 [variable, in LibTactics]
equatesLemma.A6 [variable, in LibTactics]
equates_6 [lemma, in LibTactics]
equates_5 [lemma, in LibTactics]
equates_4 [lemma, in LibTactics]
equates_3 [lemma, in LibTactics]
equates_2 [lemma, in LibTactics]
equates_1 [lemma, in LibTactics]
equates_0 [lemma, in LibTactics]
Equiv [library]
equiv_classes [definition, in Equiv]
eq' [definition, in LibTactics]
eval [inductive, in Smallstep]
evalF [definition, in Smallstep]
evalF_eval [lemma, in Smallstep]
eval__multistep [lemma, in Smallstep]
eval_assign [lemma, in PE]
ExamplePrettyAssertions [module, in Hoare]
ExamplePrettyAssertions.assn1 [definition, in Hoare]
ExamplePrettyAssertions.assn2 [definition, in Hoare]
ExamplePrettyAssertions.assn3 [definition, in Hoare]
ExamplePrettyAssertions.assn4 [definition, in Hoare]
ExamplePrettyAssertions.ex1 [definition, in Hoare]
ExamplePrettyAssertions.ex2 [definition, in Hoare]
ExamplePrettyAssertions.ex3 [definition, in Hoare]
ExamplesLets [module, in UseTactics]
ExamplesLets.demo_lets_underscore [lemma, in UseTactics]
ExamplesLets.demo_lets_5 [lemma, in UseTactics]
ExamplesLets.demo_lets_4 [lemma, in UseTactics]
ExamplesLets.demo_lets_3 [lemma, in UseTactics]
ExamplesLets.demo_lets_2 [lemma, in UseTactics]
ExamplesLets.demo_lets_1 [lemma, in UseTactics]
ExamplesLets.typing_inversion_var [axiom, in UseTactics]
ExAssertions [module, in Hoare]
ExAssertions.assn1 [definition, in Hoare]
ExAssertions.assn2 [definition, in Hoare]
ExAssertions.assn3 [definition, in Hoare]
ExAssertions.assn4 [definition, in Hoare]
extract [definition, in Hoare2]
extract_while_ex [definition, in Hoare2]
extract_dec [definition, in Hoare2]
E_Plus [constructor, in Smallstep]
E_Const [constructor, in Smallstep]
E_Some [constructor, in PE]
E_None [constructor, in PE]
e':350 [binder, in Smallstep]
e':351 [binder, in Smallstep]
e':352 [binder, in Smallstep]
e:204 [binder, in Norm]
e:248 [binder, in Norm]
e:253 [binder, in Norm]
e:255 [binder, in Norm]
e:266 [binder, in Norm]
e:278 [binder, in LibTactics]
e:279 [binder, in LibTactics]
e:280 [binder, in LibTactics]
e:281 [binder, in LibTactics]
e:43 [binder, in StlcProp]
e:55 [binder, in UseTactics]

F

factorial_correct [lemma, in Hoare2]
factorial_dec [definition, in Hoare2]
false_eqb_string [lemma, in Norm]
false_eqb_string [lemma, in PE]
fib [definition, in Hoare2]
fib_eqn [lemma, in Hoare2]
FILL_IN_HERE [definition, in Smallstep]
FILL_IN_HERE [definition, in Hoare2]
FirstTry [module, in Typechecking]
FirstTry.type_check [definition, in Typechecking]
fold_constants_com_sound [lemma, in Equiv]
fold_constants_bexp_sound [lemma, in Equiv]
fold_constants_aexp_sound [lemma, in Equiv]
fold_com_ex₁ [definition, in Equiv]
fold_constants_com [definition, in Equiv]
fold_bexp_ex₂ [definition, in Equiv]
fold_bexp_ex₁ [definition, in Equiv]
fold_constants_bexp [definition, in Equiv]
fold_aexp_ex₂ [definition, in Equiv]
fold_aexp_ex₁ [definition, in Equiv]
fold_constants_aexp [definition, in Equiv]
free_in_context [lemma, in Norm]
FuncEq [section, in LibTactics]
FuncEq.A1 [variable, in LibTactics]
FuncEq.A2 [variable, in LibTactics]
FuncEq.A3 [variable, in LibTactics]
FuncEq.A4 [variable, in LibTactics]
FuncEq.A5 [variable, in LibTactics]
FuncEq.A6 [variable, in LibTactics]
FuncEq.A7 [variable, in LibTactics]
FuncEq.B [variable, in LibTactics]
F':13 [binder, in UseAuto]
F':15 [binder, in UseAuto]
F':31 [binder, in UseAuto]
F':33 [binder, in UseAuto]
F₁:34 [binder, in UseAuto]
F₂:35 [binder, in UseAuto]
F₃:36 [binder, in UseAuto]
F:10 [binder, in UseAuto]
F:12 [binder, in UseAuto]
f:126 [binder, in LibTactics]
f:129 [binder, in LibTactics]
f:134 [binder, in LibTactics]
F:14 [binder, in UseAuto]
f:141 [binder, in LibTactics]
f:150 [binder, in LibTactics]
f:161 [binder, in LibTactics]
f:174 [binder, in LibTactics]
f:188 [binder, in Sub]
F:19 [binder, in UseAuto]
f:192 [binder, in Sub]
f:196 [binder, in UseAuto]
f:202 [binder, in UseAuto]
f:209 [binder, in UseAuto]
f:212 [binder, in UseAuto]
F:27 [binder, in UseAuto]
f:27 [binder, in Hoare]
F:30 [binder, in UseAuto]
f:31 [binder, in Hoare]
F:32 [binder, in UseAuto]
f:37 [binder, in UseAuto]
f:39 [binder, in UseAuto]
f:48 [binder, in UseAuto]
f:50 [binder, in UseTactics]
f:56 [binder, in UseTactics]

G

Gamma':115 [binder, in Records]
Gamma':118 [binder, in Sub]
Gamma':14 [binder, in StlcProp]
Gamma':141 [binder, in Norm]
Gamma':172 [binder, in RecordSub]
Gamma':172 [binder, in MoreStlc]
Gamma':209 [binder, in References]
Gamma':75 [binder, in StlcProp]
Gamma':88 [binder, in Norm]
Gamma':95 [binder, in StlcProp]
Gamma:101 [binder, in Sub]
Gamma:103 [binder, in Records]
Gamma:105 [binder, in Sub]
Gamma:109 [binder, in MoreStlc]
Gamma:110 [binder, in Sub]
Gamma:111 [binder, in RecordSub]
Gamma:112 [binder, in MoreStlc]
Gamma:114 [binder, in RecordSub]
Gamma:114 [binder, in Records]
Gamma:117 [binder, in Sub]
Gamma:118 [binder, in Records]
Gamma:119 [binder, in MoreStlc]
Gamma:121 [binder, in RecordSub]
Gamma:121 [binder, in Records]
Gamma:121 [binder, in Sub]
Gamma:122 [binder, in MoreStlc]
Gamma:124 [binder, in RecordSub]
Gamma:124 [binder, in MoreStlc]
Gamma:124 [binder, in Sub]
Gamma:126 [binder, in MoreStlc]
Gamma:128 [binder, in References]
Gamma:128 [binder, in MoreStlc]
Gamma:129 [binder, in RecordSub]
Gamma:13 [binder, in Typechecking]
Gamma:13 [binder, in StlcProp]
Gamma:131 [binder, in References]
Gamma:131 [binder, in MoreStlc]
Gamma:133 [binder, in RecordSub]
Gamma:134 [binder, in RecordSub]
Gamma:136 [binder, in MoreStlc]
Gamma:138 [binder, in References]
Gamma:140 [binder, in RecordSub]
Gamma:140 [binder, in MoreStlc]
Gamma:140 [binder, in Norm]
Gamma:141 [binder, in References]
Gamma:143 [binder, in References]
Gamma:144 [binder, in MoreStlc]
Gamma:145 [binder, in References]
Gamma:147 [binder, in References]
Gamma:150 [binder, in References]
Gamma:150 [binder, in RecordSub]
Gamma:150 [binder, in Norm]
Gamma:153 [binder, in MoreStlc]
Gamma:155 [binder, in References]
Gamma:155 [binder, in MoreStlc]
Gamma:156 [binder, in References]
Gamma:158 [binder, in References]
Gamma:159 [binder, in MoreStlc]
Gamma:160 [binder, in RecordSub]
Gamma:161 [binder, in References]
Gamma:164 [binder, in References]
Gamma:167 [binder, in MoreStlc]
Gamma:17 [binder, in StlcProp]
Gamma:171 [binder, in RecordSub]
Gamma:171 [binder, in MoreStlc]
Gamma:175 [binder, in RecordSub]
Gamma:175 [binder, in MoreStlc]
Gamma:178 [binder, in RecordSub]
Gamma:178 [binder, in MoreStlc]
Gamma:184 [binder, in Norm]
Gamma:20 [binder, in StlcProp]
Gamma:208 [binder, in References]
Gamma:213 [binder, in References]
Gamma:217 [binder, in References]
Gamma:228 [binder, in References]
Gamma:244 [binder, in Norm]
Gamma:25 [binder, in Typechecking]
Gamma:26 [binder, in StlcProp]
Gamma:267 [binder, in Norm]
Gamma:28 [binder, in Typechecking]
Gamma:39 [binder, in Typechecking]
Gamma:42 [binder, in StlcProp]
Gamma:45 [binder, in Stlc]
Gamma:48 [binder, in Stlc]
Gamma:48 [binder, in Sub]
Gamma:51 [binder, in Sub]
Gamma:54 [binder, in Norm]
Gamma:55 [binder, in Stlc]
Gamma:57 [binder, in Norm]
Gamma:58 [binder, in Stlc]
Gamma:58 [binder, in Sub]
Gamma:59 [binder, in Stlc]
Gamma:61 [binder, in Sub]
Gamma:62 [binder, in Sub]
Gamma:63 [binder, in Typechecking]
Gamma:64 [binder, in Stlc]
Gamma:64 [binder, in Norm]
Gamma:66 [binder, in Typechecking]
Gamma:67 [binder, in Norm]
Gamma:67 [binder, in Sub]
Gamma:68 [binder, in Norm]
Gamma:68 [binder, in Sub]
Gamma:69 [binder, in Sub]
Gamma:70 [binder, in StlcProp]
Gamma:72 [binder, in UseTactics]
Gamma:73 [binder, in Norm]
Gamma:73 [binder, in Records]
Gamma:74 [binder, in StlcProp]
Gamma:74 [binder, in Norm]
Gamma:79 [binder, in Norm]
Gamma:83 [binder, in Norm]
Gamma:83 [binder, in Sub]
Gamma:87 [binder, in Norm]
Gamma:9 [binder, in Typechecking]
Gamma:90 [binder, in Sub]
Gamma:91 [binder, in Norm]
Gamma:94 [binder, in StlcProp]
Gamma:94 [binder, in UseTactics]
Gamma:94 [binder, in Norm]
Gamma:95 [binder, in Sub]
GenExample [module, in UseTactics]
GenExample.substitution_preserves_typing [lemma, in UseTactics]
Goto [constructor, in PE]
gt_not_le [axiom, in UseAuto]
G:102 [binder, in UseTactics]
g:197 [binder, in UseAuto]
g:203 [binder, in UseAuto]
g:210 [binder, in UseAuto]
g:213 [binder, in UseAuto]
g:40 [binder, in UseAuto]
g:49 [binder, in UseAuto]
G:99 [binder, in UseTactics]

H

halts [definition, in Norm]
has_type [inductive, in Norm]
Himp [module, in Hoare]
Himp [module, in Equiv]
Himp.CAsgn [constructor, in Hoare]
Himp.CAsgn [constructor, in Equiv]
Himp.cequiv [definition, in Equiv]
Himp.ceval [inductive, in Hoare]
Himp.ceval [inductive, in Equiv]
Himp.CHavoc [constructor, in Hoare]
Himp.CHavoc [constructor, in Equiv]
Himp.CIf [constructor, in Hoare]
Himp.CIf [constructor, in Equiv]
Himp.com [inductive, in Hoare]
Himp.com [inductive, in Equiv]
Himp.CSeq [constructor, in Hoare]
Himp.CSeq [constructor, in Equiv]
Himp.CSkip [constructor, in Hoare]
Himp.CSkip [constructor, in Equiv]
Himp.CWhile [constructor, in Hoare]
Himp.CWhile [constructor, in Equiv]
Himp.E_Havoc [constructor, in Hoare]
Himp.E_WhileTrue [constructor, in Hoare]
Himp.E_WhileFalse [constructor, in Hoare]
Himp.E_IfFalse [constructor, in Hoare]
Himp.E_IfTrue [constructor, in Hoare]
Himp.E_Seq [constructor, in Hoare]
Himp.E_Asgn [constructor, in Hoare]
Himp.E_Skip [constructor, in Hoare]
Himp.E_WhileTrue [constructor, in Equiv]
Himp.E_WhileFalse [constructor, in Equiv]
Himp.E_IfFalse [constructor, in Equiv]
Himp.E_IfTrue [constructor, in Equiv]
Himp.E_Seq [constructor, in Equiv]
Himp.E_Asgn [constructor, in Equiv]
Himp.E_Skip [constructor, in Equiv]
Himp.havoc_post [lemma, in Hoare]
Himp.havoc_pre [definition, in Hoare]
Himp.havoc_example2 [definition, in Equiv]
Himp.havoc_example1 [definition, in Equiv]
Himp.hoare_havoc [lemma, in Hoare]
Himp.hoare_consequence_pre [lemma, in Hoare]
Himp.hoare_triple [definition, in Hoare]
Himp.manual_grade_for_Check_rule_for_HAVOC [definition, in Equiv]
Himp.pcopy [definition, in Equiv]
Himp.ptwice [definition, in Equiv]
Himp.ptwice_cequiv_pcopy [lemma, in Equiv]
Himp.pXY [definition, in Equiv]
Himp.pXY_cequiv_pYX [lemma, in Equiv]
Himp.pYX [definition, in Equiv]
Himp.p1 [definition, in Equiv]
Himp.p1_p2_equiv [lemma, in Equiv]
Himp.p1_may_diverge [lemma, in Equiv]
Himp.p2 [definition, in Equiv]
Himp.p2_may_diverge [lemma, in Equiv]
Himp.p3 [definition, in Equiv]
Himp.p3_p4_inequiv [lemma, in Equiv]
Himp.p4 [definition, in Equiv]
Himp.p5 [definition, in Equiv]
Himp.p5_p6_equiv [lemma, in Equiv]
Himp.p6 [definition, in Equiv]
com:_ ; _ [notation, in Hoare]
com:_ := _ [notation, in Hoare]
com:_ ; _ [notation, in Equiv]
com:_ := _ [notation, in Equiv]
com:havoc _ [notation, in Hoare]
com:havoc _ [notation, in Equiv]
com:if _ then _ else _ end [notation, in Hoare]
com:if _ then _ else _ end [notation, in Equiv]
com:skip [notation, in Hoare]
com:skip [notation, in Equiv]
com:while _ do _ end [notation, in Hoare]
com:while _ do _ end [notation, in Equiv]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [notation, in Hoare]
_ =[ _ ]=> _ [notation, in Hoare]
_ =[ _ ]=> _ [notation, in Equiv]
Himp2 [module, in Hoare2]
Himp2.hoare_havoc_weakest [lemma, in Hoare2]
HintsTransitivity [section, in UseAuto]
Hoare [library]
HoareAsLogic [library]
HoareAssertAssume [module, in Hoare]
HoareAssertAssume.assert_assume_example [definition, in Hoare]
HoareAssertAssume.assert_implies_assume [lemma, in Hoare]
HoareAssertAssume.assert_assume_differ [lemma, in Hoare]
HoareAssertAssume.CAsgn [constructor, in Hoare]
HoareAssertAssume.CAssert [constructor, in Hoare]
HoareAssertAssume.CAssume [constructor, in Hoare]
HoareAssertAssume.ceval [inductive, in Hoare]
HoareAssertAssume.CIf [constructor, in Hoare]
HoareAssertAssume.com [inductive, in Hoare]
HoareAssertAssume.CSeq [constructor, in Hoare]
HoareAssertAssume.CSkip [constructor, in Hoare]
HoareAssertAssume.CWhile [constructor, in Hoare]
HoareAssertAssume.E_Assume [constructor, in Hoare]
HoareAssertAssume.E_AssertFalse [constructor, in Hoare]
HoareAssertAssume.E_AssertTrue [constructor, in Hoare]
HoareAssertAssume.E_WhileTrueError [constructor, in Hoare]
HoareAssertAssume.E_WhileTrueNormal [constructor, in Hoare]
HoareAssertAssume.E_WhileFalse [constructor, in Hoare]
HoareAssertAssume.E_IfFalse [constructor, in Hoare]
HoareAssertAssume.E_IfTrue [constructor, in Hoare]
HoareAssertAssume.E_SeqError [constructor, in Hoare]
HoareAssertAssume.E_SeqNormal [constructor, in Hoare]
HoareAssertAssume.E_Asgn [constructor, in Hoare]
HoareAssertAssume.E_Skip [constructor, in Hoare]
HoareAssertAssume.hoare_while [lemma, in Hoare]
HoareAssertAssume.hoare_if [lemma, in Hoare]
HoareAssertAssume.hoare_skip [lemma, in Hoare]
HoareAssertAssume.hoare_seq [lemma, in Hoare]
HoareAssertAssume.hoare_consequence_post [lemma, in Hoare]
HoareAssertAssume.hoare_consequence_pre [lemma, in Hoare]
HoareAssertAssume.hoare_asgn [lemma, in Hoare]
HoareAssertAssume.hoare_triple [definition, in Hoare]
HoareAssertAssume.RError [constructor, in Hoare]
HoareAssertAssume.result [inductive, in Hoare]
HoareAssertAssume.RNormal [constructor, in Hoare]
com:_ ; _ [notation, in Hoare]
com:_ := _ [notation, in Hoare]
com:assert _ [notation, in Hoare]
com:assume _ [notation, in Hoare]
com:if _ then _ else _ end [notation, in Hoare]
com:skip [notation, in Hoare]
com:while _ do _ end [notation, in Hoare]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [notation, in Hoare]
_ =[ _ ]=> _ [notation, in Hoare]
hoare_while [lemma, in Hoare]
hoare_if [lemma, in Hoare]
hoare_asgn_example4 [definition, in Hoare]
hoare_asgn_example3 [definition, in Hoare]
hoare_asgn_example1''' [definition, in Hoare]
hoare_asgn_example1'' [definition, in Hoare]
hoare_asgn_example1' [definition, in Hoare]
hoare_consequence_post' [lemma, in Hoare]
hoare_consequence_pre'''' [lemma, in Hoare]
hoare_consequence_pre''' [lemma, in Hoare]
hoare_consequence_pre'' [lemma, in Hoare]
hoare_consequence_pre' [lemma, in Hoare]
hoare_consequence [lemma, in Hoare]
hoare_asgn_example1 [definition, in Hoare]
hoare_consequence_post [lemma, in Hoare]
hoare_consequence_pre [lemma, in Hoare]
hoare_asgn_fwd_exists [lemma, in Hoare]
hoare_asgn_fwd [lemma, in Hoare]
hoare_asgn_examples2 [definition, in Hoare]
hoare_asgn_examples1 [definition, in Hoare]
hoare_asgn [lemma, in Hoare]
hoare_seq [lemma, in Hoare]
hoare_skip [lemma, in Hoare]
hoare_pre_false [lemma, in Hoare]
hoare_post_true [lemma, in Hoare]
hoare_triple [definition, in Hoare]
hoare_asgn_weakest [lemma, in Hoare2]
hoare_complete [lemma, in HoareAsLogic]
hoare_sound [lemma, in HoareAsLogic]
Hoare2 [library]
HT:199 [binder, in Sub]
H_Consequence_post [lemma, in HoareAsLogic]
H_Consequence_pre [lemma, in HoareAsLogic]
H_Consequence [constructor, in HoareAsLogic]
H_While [constructor, in HoareAsLogic]
H_If [constructor, in HoareAsLogic]
H_Seq [constructor, in HoareAsLogic]
H_Asgn [constructor, in HoareAsLogic]
H_Skip [constructor, in HoareAsLogic]
h:198 [binder, in UseAuto]
h:204 [binder, in UseAuto]
h:214 [binder, in UseAuto]

I

identity_assignment [lemma, in Equiv]
ids:100 [binder, in PE]
ids:109 [binder, in PE]
ids:113 [binder, in PE]
ids:117 [binder, in PE]
ids:125 [binder, in PE]
ids:96 [binder, in PE]
If [constructor, in PE]
iff_intro_swap [lemma, in LibTactics]
if_minus_plus [lemma, in Hoare]
if_example''' [definition, in Hoare]
if_example'' [definition, in Hoare]
if_example [definition, in Hoare]
if_minus_plus_correct [lemma, in Hoare2]
if_minus_plus_dec [definition, in Hoare2]
if_false [lemma, in Equiv]
if_true [lemma, in Equiv]
if_true_simple [lemma, in Equiv]
If₁ [module, in Hoare]
If₁.CAsgn [constructor, in Hoare]
If₁.ceval [inductive, in Hoare]
If₁.CIf [constructor, in Hoare]
If₁.CIf1 [constructor, in Hoare]
If₁.com [inductive, in Hoare]
If₁.CSeq [constructor, in Hoare]
If₁.CSkip [constructor, in Hoare]
If₁.CWhile [constructor, in Hoare]
If₁.E_WhileTrue [constructor, in Hoare]
If₁.E_WhileFalse [constructor, in Hoare]
If₁.E_IfFalse [constructor, in Hoare]
If₁.E_IfTrue [constructor, in Hoare]
If₁.E_Seq [constructor, in Hoare]
If₁.E_Asgn [constructor, in Hoare]
If₁.E_Skip [constructor, in Hoare]
If₁.hoare_if1_good [lemma, in Hoare]
If₁.hoare_asgn [lemma, in Hoare]
If₁.hoare_consequence_pre [lemma, in Hoare]
If₁.hoare_triple [definition, in Hoare]
If₁.if1false_test [definition, in Hoare]
If₁.if1true_test [definition, in Hoare]
If₁.manual_grade_for_hoare_if₁ [definition, in Hoare]
com:_ ; _ [notation, in Hoare]
com:_ := _ [notation, in Hoare]
com:if _ then _ else _ end [notation, in Hoare]
com:if₁ _ then _ end [notation, in Hoare]
com:skip [notation, in Hoare]
com:while _ do _ end [notation, in Hoare]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [notation, in Hoare]
_ =[ _ ]=> _ [notation, in Hoare]
inb [definition, in PE]
inbP [lemma, in PE]
induct_height_max2 [lemma, in LibTactics]
inequiv_exercise [lemma, in Equiv]
inj_pair2 [axiom, in LibTactics]
instantiation [inductive, in Norm]
instantiation_drop [lemma, in Norm]
instantiation_R [lemma, in Norm]
instantiation_env_closed [lemma, in Norm]
instantiation_domains_match [lemma, in Norm]
IntrovExamples [module, in UseTactics]
IntrovExamples.ceval_deterministic' [lemma, in UseTactics]
IntrovExamples.ceval_deterministic [lemma, in UseTactics]
IntrovExamples.dist_exists_or [lemma, in UseTactics]
IntrovExamples.exists_impl [lemma, in UseTactics]
invalid_triple [lemma, in Hoare]
InvertsExamples [module, in UseTactics]
InvertsExamples.ceval_deterministic' [lemma, in UseTactics]
InvertsExamples.ceval_deterministic [lemma, in UseTactics]
InvertsExamples.skip_left' [lemma, in UseTactics]
InvertsExamples.skip_left [lemma, in UseTactics]
InvertsExamples1 [module, in UseTactics]
InvertsExamples1.typing_nonexample_1 [definition, in UseTactics]
is_wp_example [lemma, in Hoare2]
is_wp [definition, in Hoare2]
i₁:89 [binder, in RecordSub]
i₂:90 [binder, in RecordSub]
i:10 [binder, in Records]
i:101 [binder, in RecordSub]
i:108 [binder, in Records]
i:12 [binder, in RecordSub]
i:125 [binder, in RecordSub]
i:135 [binder, in RecordSub]
i:147 [binder, in RecordSub]
i:15 [binder, in Records]
i:17 [binder, in RecordSub]
i:18 [binder, in Records]
i:189 [binder, in Sub]
i:191 [binder, in Sub]
i:193 [binder, in Smallstep]
i:193 [binder, in Sub]
i:195 [binder, in Sub]
i:20 [binder, in RecordSub]
i:23 [binder, in Records]
i:248 [binder, in Smallstep]
i:252 [binder, in Smallstep]
i:280 [binder, in Smallstep]
i:284 [binder, in Smallstep]
i:33 [binder, in RecordSub]
i:334 [binder, in Smallstep]
i:36 [binder, in RecordSub]
i:36 [binder, in Records]
i:39 [binder, in Records]
i:40 [binder, in RecordSub]
i:57 [binder, in Records]
i:58 [binder, in RecordSub]
i:59 [binder, in Records]
i:60 [binder, in RecordSub]
i:61 [binder, in Records]
i:62 [binder, in RecordSub]
i:65 [binder, in Records]
i:66 [binder, in RecordSub]
i:69 [binder, in Records]
i:7 [binder, in RecordSub]
i:81 [binder, in RecordSub]
i:84 [binder, in RecordSub]
i:86 [binder, in Records]
i:90 [binder, in Records]
i:96 [binder, in RecordSub]
i:98 [binder, in Records]

J

j:190 [binder, in Sub]
j:194 [binder, in Sub]

K

keval [definition, in PE]
keval_example [definition, in PE]
k:189 [binder, in Norm]
k:417 [binder, in PE]
k:431 [binder, in PE]
k:442 [binder, in PE]
k:448 [binder, in PE]
k:53 [binder, in UseAuto]
k:55 [binder, in UseAuto]
k:57 [binder, in UseAuto]
k:59 [binder, in UseAuto]
k:60 [binder, in UseAuto]
k:62 [binder, in UseAuto]
k:63 [binder, in UseAuto]

L

Label:410 [binder, in PE]
le_gt_false [axiom, in UseAuto]
le_not_gt [axiom, in UseAuto]
lia_demo_4 [lemma, in UseAuto]
lia_demo_3 [lemma, in UseAuto]
lia_demo_2 [lemma, in UseAuto]
lia_demo_1 [lemma, in UseAuto]
LibTactics [library]
LibTacticsCompatibility [module, in LibTactics]
lookup [definition, in Norm]
loop [constructor, in PE]
Loop [module, in PE]
loop_unrolling [lemma, in Equiv]
Loop.ceval_count_sound [lemma, in PE]
Loop.ceval_count_complete [lemma, in PE]
Loop.ceval_count [inductive, in PE]
Loop.E'Asgn [constructor, in PE]
Loop.E'IfFalse [constructor, in PE]
Loop.E'IfTrue [constructor, in PE]
Loop.E'Seq [constructor, in PE]
Loop.E'Skip [constructor, in PE]
Loop.E'WhileFalse [constructor, in PE]
Loop.E'WhileTrue [constructor, in PE]
Loop.pe_com_correct [lemma, in PE]
Loop.pe_com_sound [lemma, in PE]
Loop.pe_com_complete [lemma, in PE]
Loop.pe_ceval_count_le [lemma, in PE]
Loop.pe_ceval_count_intro [constructor, in PE]
Loop.pe_ceval_count [inductive, in PE]
Loop.pe_compare_nil_update [lemma, in PE]
Loop.pe_compare_nil_lookup [lemma, in PE]
Loop.pe_loop_example4 [definition, in PE]
Loop.pe_loop_example3 [definition, in PE]
Loop.pe_loop_example2 [definition, in PE]
Loop.pe_loop_example1 [definition, in PE]
Loop.PE_WhileFixed [constructor, in PE]
Loop.PE_WhileFixedLoop [constructor, in PE]
Loop.PE_WhileFixedEnd [constructor, in PE]
Loop.PE_While [constructor, in PE]
Loop.PE_WhileTrue [constructor, in PE]
Loop.PE_WhileFalse [constructor, in PE]
Loop.PE_If [constructor, in PE]
Loop.PE_IfFalse [constructor, in PE]
Loop.PE_IfTrue [constructor, in PE]
Loop.PE_Seq [constructor, in PE]
Loop.PE_AsgnDynamic [constructor, in PE]
Loop.PE_AsgnStatic [constructor, in PE]
Loop.PE_Skip [constructor, in PE]
Loop.pe_com [inductive, in PE]
Loop.square_loop [definition, in PE]
_ / _ / _ / _ ==> _ # _ [notation, in PE]
_ / _ ==> _ # _ [notation, in PE]
_ / _ ==> _ / _ / _ [notation, in PE]
ltac_goal_to_discard_intro [constructor, in LibTactics]
ltac_goal_to_discard [inductive, in LibTactics]
ltac_something_show [lemma, in LibTactics]
ltac_something_hide [lemma, in LibTactics]
ltac_something_eq [lemma, in LibTactics]
ltac_something [definition, in LibTactics]
ltac_to_generalize [definition, in LibTactics]
ltac_tag_subst [definition, in LibTactics]
ltac_int_to_nat [definition, in LibTactics]
ltac_database_provide [lemma, in LibTactics]
ltac_database [definition, in LibTactics]
ltac_database_token [constructor, in LibTactics]
Ltac_database_token [inductive, in LibTactics]
ltac_mark [constructor, in LibTactics]
ltac_Mark [inductive, in LibTactics]
ltac_wilds [constructor, in LibTactics]
ltac_Wilds [inductive, in LibTactics]
ltac_wild [constructor, in LibTactics]
ltac_Wild [inductive, in LibTactics]
ltac_no_arg [constructor, in LibTactics]
ltac_No_arg [inductive, in LibTactics]
l'':435 [binder, in PE]
l':433 [binder, in PE]
l':451 [binder, in PE]
l':462 [binder, in PE]
l':473 [binder, in PE]
l₁:177 [binder, in Equiv]
l₁:38 [binder, in References]
l₂:178 [binder, in Equiv]
l₂:39 [binder, in References]
l:104 [binder, in References]
l:11 [binder, in References]
l:11 [binder, in PE]
l:110 [binder, in References]
l:118 [binder, in UseAuto]
l:133 [binder, in PE]
l:137 [binder, in PE]
l:157 [binder, in References]
l:176 [binder, in References]
l:19 [binder, in PE]
l:190 [binder, in Norm]
l:192 [binder, in References]
l:195 [binder, in References]
l:207 [binder, in PE]
l:211 [binder, in PE]
l:226 [binder, in References]
l:238 [binder, in References]
l:24 [binder, in References]
l:326 [binder, in PE]
l:34 [binder, in References]
l:35 [binder, in References]
L:415 [binder, in PE]
L:420 [binder, in PE]
l:421 [binder, in PE]
L:423 [binder, in PE]
l:428 [binder, in PE]
l:430 [binder, in PE]
L:440 [binder, in PE]
L:445 [binder, in PE]
L:452 [binder, in PE]
L:456 [binder, in PE]
l:460 [binder, in PE]
L:467 [binder, in PE]
l:471 [binder, in PE]
l:84 [binder, in PE]
l:88 [binder, in PE]

M

manual_grade_for_eval__multistep_inf [definition, in Smallstep]
manual_grade_for_hoare_repeat [definition, in Hoare]
manual_grade_for_hoare_asgn_wrong [definition, in Hoare]
manual_grade_for_not_congr [definition, in Equiv]
manual_grade_for_equiv_classes [definition, in Equiv]
manual_grade_for_norm [definition, in Norm]
manual_grade_for_norm_fail [definition, in Norm]
manual_grade_for_pair_permutation [definition, in Sub]
manual_grade_for_smallest_2 [definition, in Sub]
manual_grade_for_smallest_1 [definition, in Sub]
manual_grade_for_small_large_4 [definition, in Sub]
manual_grade_for_small_large_2 [definition, in Sub]
manual_grade_for_small_large_1 [definition, in Sub]
manual_grade_for_proper_subtypes [definition, in Sub]
manual_grade_for_subtype_concepts_tf [definition, in Sub]
manual_grade_for_subtype_instances_tf_2 [definition, in Sub]
manual_grade_for_subtype_order [definition, in Sub]
manual_grade_for_arrow_sub_wrong [definition, in Sub]
minimum_correct [lemma, in Hoare2]
minimum_dec [definition, in Hoare2]
mkAexp [abbreviation, in Hoare]
MoreStlc [library]
msubst [definition, in Norm]
msubst_R [lemma, in Norm]
msubst_preserves_typing [lemma, in Norm]
msubst_app [lemma, in Norm]
msubst_abs [lemma, in Norm]
msubst_var [lemma, in Norm]
msubst_closed [lemma, in Norm]
multi [inductive, in Smallstep]
multistep [abbreviation, in Norm]
multistep__eval [lemma, in Smallstep]
multistep_congr_2 [lemma, in Smallstep]
multistep_congr_1 [lemma, in Smallstep]
multistep_App2 [lemma, in Norm]
multistep_preserves_R' [lemma, in Norm]
multistep_preserves_R [lemma, in Norm]
multi_trans [lemma, in Smallstep]
multi_R [lemma, in Smallstep]
multi_step [constructor, in Smallstep]
multi_refl [constructor, in Smallstep]
mupdate [definition, in Norm]
mupdate_drop [lemma, in Norm]
mupdate_lookup [lemma, in Norm]
myFact [definition, in UseAuto]
m:107 [binder, in UseTactics]
m:150 [binder, in UseAuto]
m:153 [binder, in UseAuto]
m:21 [binder, in UseAuto]
m:33 [binder, in UseTactics]
m:338 [binder, in Smallstep]
m:342 [binder, in Smallstep]
m:346 [binder, in Smallstep]
m:35 [binder, in UseTactics]
m:37 [binder, in UseTactics]
m:47 [binder, in Hoare2]
m:49 [binder, in Hoare2]
m:55 [binder, in Hoare2]
m:57 [binder, in Hoare2]
m:59 [binder, in Hoare2]
m:60 [binder, in Hoare2]
m:63 [binder, in Hoare]
m:64 [binder, in Hoare2]
m:67 [binder, in Hoare2]
m:68 [binder, in Hoare2]
m:69 [binder, in Hoare2]
m:70 [binder, in Hoare2]
m:71 [binder, in Hoare2]
m:72 [binder, in Hoare]
m:79 [binder, in UseTactics]
m:8 [binder, in UseAuto]
m:81 [binder, in UseTactics]
m:83 [binder, in UseTactics]

N

NaryExamples [module, in UseTactics]
NaryExamples.demo_branch [lemma, in UseTactics]
NaryExamples.demo_splits [lemma, in UseTactics]
nat_le_refl [lemma, in UseAuto]
negation_study_2 [lemma, in UseAuto]
negation_study_1 [lemma, in UseAuto]
nf_same_as_value [lemma, in Smallstep]
nf_is_value [lemma, in Smallstep]
ni:136 [binder, in Equiv]
Norm [library]
normalization [lemma, in Norm]
normalize_ex' [lemma, in Smallstep]
normalize_ex [lemma, in Smallstep]
normalizing [definition, in Smallstep]
normal_forms_unique [lemma, in Smallstep]
normal_form_of [definition, in Smallstep]
normal_form [definition, in Smallstep]
nxs:195 [binder, in Norm]
n':379 [binder, in PE]
n':386 [binder, in PE]
n₁:132 [binder, in PE]
n₁:195 [binder, in LibTactics]
n₁:206 [binder, in PE]
n₁:332 [binder, in PE]
n₁:354 [binder, in PE]
n₁:43 [binder, in MoreStlc]
n₁:71 [binder, in References]
n₂:196 [binder, in LibTactics]
n₂:333 [binder, in PE]
n₂:355 [binder, in PE]
n₂:44 [binder, in MoreStlc]
n₂:72 [binder, in References]
n:10 [binder, in References]
n:100 [binder, in UseAuto]
n:103 [binder, in UseAuto]
n:103 [binder, in Hoare2]
n:104 [binder, in Hoare2]
n:105 [binder, in Hoare2]
n:106 [binder, in UseAuto]
n:106 [binder, in UseTactics]
n:107 [binder, in Hoare]
n:109 [binder, in UseAuto]
n:109 [binder, in Hoare]
n:11 [binder, in UseAuto]
n:121 [binder, in UseAuto]
n:123 [binder, in References]
n:123 [binder, in MoreStlc]
n:125 [binder, in Equiv]
n:126 [binder, in Hoare]
n:138 [binder, in PE]
n:142 [binder, in References]
n:144 [binder, in Equiv]
n:149 [binder, in UseAuto]
n:15 [binder, in MoreStlc]
n:151 [binder, in Smallstep]
n:152 [binder, in UseAuto]
n:154 [binder, in Smallstep]
n:157 [binder, in Smallstep]
n:159 [binder, in Smallstep]
n:164 [binder, in Smallstep]
n:174 [binder, in Hoare]
n:189 [binder, in Smallstep]
n:19 [binder, in References]
n:194 [binder, in Norm]
n:197 [binder, in Sub]
n:197 [binder, in LibTactics]
n:20 [binder, in UseAuto]
n:211 [binder, in Hoare]
n:212 [binder, in PE]
n:22 [binder, in References]
n:238 [binder, in Hoare]
n:24 [binder, in UseAuto]
n:253 [binder, in Smallstep]
n:256 [binder, in Hoare]
n:266 [binder, in Hoare]
n:27 [binder, in PE]
n:28 [binder, in UseAuto]
n:285 [binder, in Smallstep]
n:29 [binder, in UseAuto]
n:29 [binder, in References]
n:3 [binder, in UseAuto]
n:31 [binder, in Smallstep]
n:32 [binder, in References]
n:32 [binder, in UseTactics]
n:320 [binder, in Smallstep]
n:322 [binder, in Smallstep]
n:325 [binder, in Smallstep]
n:325 [binder, in PE]
n:331 [binder, in Smallstep]
n:337 [binder, in Smallstep]
n:339 [binder, in PE]
n:34 [binder, in UseTactics]
n:341 [binder, in Smallstep]
n:345 [binder, in Smallstep]
n:345 [binder, in PE]
n:359 [binder, in PE]
n:36 [binder, in UseTactics]
n:363 [binder, in PE]
n:375 [binder, in PE]
n:385 [binder, in PE]
n:39 [binder, in MoreStlc]
n:394 [binder, in PE]
n:4 [binder, in UseAuto]
n:402 [binder, in PE]
n:42 [binder, in MoreStlc]
n:48 [binder, in Hoare2]
n:50 [binder, in Hoare2]
n:55 [binder, in Smallstep]
n:57 [binder, in MoreStlc]
n:59 [binder, in References]
n:65 [binder, in UseAuto]
n:65 [binder, in References]
n:65 [binder, in PE]
n:68 [binder, in PE]
n:69 [binder, in UseTactics]
n:7 [binder, in UseAuto]
n:7 [binder, in PE]
n:70 [binder, in UseTactics]
n:71 [binder, in Smallstep]
n:71 [binder, in UseTactics]
n:73 [binder, in PE]
n:74 [binder, in Smallstep]
n:77 [binder, in PE]
n:78 [binder, in UseTactics]
n:8 [binder, in Smallstep]
n:80 [binder, in UseTactics]
n:82 [binder, in Hoare2]
n:82 [binder, in UseTactics]
n:85 [binder, in Hoare2]
n:86 [binder, in Smallstep]
n:86 [binder, in Hoare2]
n:87 [binder, in Hoare2]
n:88 [binder, in Hoare2]
n:9 [binder, in Hoare]
n:93 [binder, in References]
n:99 [binder, in Hoare2]

O

optimizer [definition, in Equiv]
optimizer_sound [lemma, in Equiv]
optimize_0plus_com_sound [lemma, in Equiv]
optimize_0plus_bexp_sound [lemma, in Equiv]
optimize_0plus_aexp_sound [lemma, in Equiv]
optimize_0plus_com [definition, in Equiv]
optimize_0plus_bexp [definition, in Equiv]
optimize_0plus_aexp [definition, in Equiv]
order_matters_2 [lemma, in UseAuto]
order_matters_1 [lemma, in UseAuto]
outer_triple_valid [definition, in Hoare2]

P

P [constructor, in Smallstep]
P [axiom, in UseAuto]
parity [definition, in Hoare2]
parity [definition, in PE]
parity_outer_triple_valid [lemma, in Hoare2]
parity_lt_2 [lemma, in Hoare2]
parity_ge_2 [lemma, in Hoare2]
parity_dec [definition, in Hoare2]
parity_eval [definition, in PE]
parity_body [definition, in PE]
parity_label [inductive, in PE]
PE [library]
peval [inductive, in PE]
pe_st:470 [binder, in PE]
pe_program_correct [lemma, in PE]
pe_st':466 [binder, in PE]
pe_st:459 [binder, in PE]
pe_peval_intro [constructor, in PE]
pe_peval [inductive, in PE]
pe_l:454 [binder, in PE]
pe_program [definition, in PE]
pe_st':450 [binder, in PE]
pe_st:447 [binder, in PE]
pe_block_correct [lemma, in PE]
pe_block_example [definition, in PE]
pe_st:441 [binder, in PE]
pe_block [definition, in PE]
pe_st':405 [binder, in PE]
pe_st:404 [binder, in PE]
pe_st':397 [binder, in PE]
pe_st:396 [binder, in PE]
pe_st':389 [binder, in PE]
pe_st:388 [binder, in PE]
pe_st':381 [binder, in PE]
pe_st':371 [binder, in PE]
pe_st₂:368 [binder, in PE]
pe_st₁:367 [binder, in PE]
pe_st₂:365 [binder, in PE]
pe_st₁:364 [binder, in PE]
pe_st'':275 [binder, in PE]
pe_st':274 [binder, in PE]
pe_st:273 [binder, in PE]
pe_st'':268 [binder, in PE]
pe_st':267 [binder, in PE]
pe_st:266 [binder, in PE]
pe_st:263 [binder, in PE]
pe_st'':257 [binder, in PE]
pe_st':256 [binder, in PE]
pe_st:255 [binder, in PE]
pe_st'':249 [binder, in PE]
pe_st':248 [binder, in PE]
pe_st:247 [binder, in PE]
pe_st:244 [binder, in PE]
pe_st₂:237 [binder, in PE]
pe_st₁:236 [binder, in PE]
pe_st:235 [binder, in PE]
pe_st':229 [binder, in PE]
pe_st:228 [binder, in PE]
pe_st':222 [binder, in PE]
pe_st:221 [binder, in PE]
pe_st'':215 [binder, in PE]
pe_st':214 [binder, in PE]
pe_st:213 [binder, in PE]
pe_st:208 [binder, in PE]
pe_st:204 [binder, in PE]
pe_st:203 [binder, in PE]
pe_st':197 [binder, in PE]
pe_st:196 [binder, in PE]
pe_com_correct [lemma, in PE]
pe_st':191 [binder, in PE]
pe_st:190 [binder, in PE]
pe_com_sound [lemma, in PE]
pe_st':185 [binder, in PE]
pe_st:184 [binder, in PE]
pe_com_complete [lemma, in PE]
pe_st':177 [binder, in PE]
pe_ceval_intro [constructor, in PE]
pe_ceval [inductive, in PE]
pe_example3 [definition, in PE]
pe_example2 [definition, in PE]
pe_example1 [definition, in PE]
pe_st₂:160 [binder, in PE]
pe_st₁:159 [binder, in PE]
pe_st:158 [binder, in PE]
pe_st':153 [binder, in PE]
pe_st:152 [binder, in PE]
pe_st':147 [binder, in PE]
pe_st:146 [binder, in PE]
pe_st'':141 [binder, in PE]
pe_st':140 [binder, in PE]
pe_st:139 [binder, in PE]
pe_st:134 [binder, in PE]
pe_st:130 [binder, in PE]
pe_st:129 [binder, in PE]
PE_If [constructor, in PE]
PE_IfFalse [constructor, in PE]
PE_IfTrue [constructor, in PE]
PE_Seq [constructor, in PE]
PE_AsgnDynamic [constructor, in PE]
PE_AsgnStatic [constructor, in PE]
PE_Skip [constructor, in PE]
pe_com [inductive, in PE]
pe_st:124 [binder, in PE]
pe_st:116 [binder, in PE]
pe_st:112 [binder, in PE]
pe_st:108 [binder, in PE]
pe_st₂:106 [binder, in PE]
pe_st₁:105 [binder, in PE]
pe_compare_update [lemma, in PE]
pe_st₂:103 [binder, in PE]
pe_st₁:102 [binder, in PE]
pe_compare_removes [lemma, in PE]
pe_st:99 [binder, in PE]
pe_removes_correct [lemma, in PE]
pe_st:95 [binder, in PE]
pe_removes [definition, in PE]
pe_st₂:93 [binder, in PE]
pe_st₁:92 [binder, in PE]
pe_compare_correct [lemma, in PE]
pe_st₂:91 [binder, in PE]
pe_st₁:90 [binder, in PE]
pe_compare [definition, in PE]
pe_unique_correct [lemma, in PE]
pe_unique [definition, in PE]
pe_st₂:82 [binder, in PE]
pe_st₁:81 [binder, in PE]
pe_disagree_domain [lemma, in PE]
pe_st₂:79 [binder, in PE]
pe_st₁:78 [binder, in PE]
pe_disagree_at [definition, in PE]
pe_st:75 [binder, in PE]
pe_update_update_add [lemma, in PE]
pe_st:71 [binder, in PE]
pe_update_update_remove [lemma, in PE]
pe_st:66 [binder, in PE]
pe_add_correct [lemma, in PE]
pe_st:63 [binder, in PE]
pe_add [definition, in PE]
pe_st:60 [binder, in PE]
pe_remove_correct [lemma, in PE]
pe_st:56 [binder, in PE]
pe_remove [definition, in PE]
pe_st:53 [binder, in PE]
pe_bexp_correct [lemma, in PE]
pe_st:48 [binder, in PE]
pe_bexp [definition, in PE]
pe_st:45 [binder, in PE]
pe_aexp_correct [lemma, in PE]
pe_st:43 [binder, in PE]
pe_consistent_update [lemma, in PE]
pe_st:41 [binder, in PE]
pe_update_consistent [lemma, in PE]
pe_st:38 [binder, in PE]
pe_update_correct [lemma, in PE]
pe_st:32 [binder, in PE]
pe_update [definition, in PE]
pe_st:29 [binder, in PE]
pe_aexp_correct_weak [lemma, in PE]
pe_st:25 [binder, in PE]
pe_consistent [definition, in PE]
pe_st:20 [binder, in PE]
pe_aexp [definition, in PE]
pe_st:5 [binder, in PE]
pe_domain [lemma, in PE]
pe_st:1 [binder, in PE]
pe_lookup [definition, in PE]
pe_state [definition, in PE]
positive_difference_correct [lemma, in Hoare2]
positive_difference_dec [definition, in Hoare2]
post [definition, in Hoare2]
Postscript [library]
post_dec_while [definition, in Hoare2]
post_dec [definition, in Hoare2]
pow2 [definition, in Hoare2]
pow2_le_1 [lemma, in Hoare2]
pow2_plus_1 [lemma, in Hoare2]
Preface [library]
preservation [lemma, in Norm]
PreservationProgressReferences [module, in UseAuto]
PreservationProgressReferences.nth_eq_last' [lemma, in UseAuto]
PreservationProgressReferences.preservation [lemma, in UseAuto]
PreservationProgressReferences.preservation_ref [lemma, in UseAuto]
PreservationProgressReferences.preservation' [lemma, in UseAuto]
PreservationProgressReferences.progress [lemma, in UseAuto]
PreservationProgressStlc [module, in UseAuto]
PreservationProgressStlc.preservation [lemma, in UseAuto]
PreservationProgressStlc.preservation' [lemma, in UseAuto]
PreservationProgressStlc.progress [lemma, in UseAuto]
PreservationProgressStlc.progress' [lemma, in UseAuto]
pre_dec_while [definition, in Hoare2]
pre_dec [definition, in Hoare2]
prog [definition, in Smallstep]
program [definition, in PE]
prog_i [definition, in Equiv]
prog_h [definition, in Equiv]
prog_g [definition, in Equiv]
prog_f [definition, in Equiv]
prog_e [definition, in Equiv]
prog_d [definition, in Equiv]
prog_c [definition, in Equiv]
prog_b [definition, in Equiv]
prog_a [definition, in Equiv]
provable_false_pre [lemma, in HoareAsLogic]
provable_true_post [lemma, in HoareAsLogic]
P':157 [binder, in Hoare]
P':245 [binder, in Hoare]
P':31 [binder, in HoareAsLogic]
P':319 [binder, in Hoare]
P':38 [binder, in HoareAsLogic]
P':63 [binder, in HoareAsLogic]
P':74 [binder, in Hoare]
P':82 [binder, in Hoare]
P':87 [binder, in Hoare]
P':91 [binder, in Hoare]
P':92 [binder, in Hoare2]
P':95 [binder, in Hoare]
P':99 [binder, in Hoare]
P₁:10 [binder, in Hoare2]
P₂:12 [binder, in Hoare2]
P:1 [binder, in UseAuto]
P:1 [binder, in HoareAsLogic]
P:102 [binder, in Hoare]
P:105 [binder, in LibTactics]
P:109 [binder, in LibTactics]
P:114 [binder, in Hoare]
P:114 [binder, in LibTactics]
P:12 [binder, in HoareAsLogic]
P:133 [binder, in Sub]
P:148 [binder, in UseAuto]
P:151 [binder, in UseAuto]
P:151 [binder, in Hoare]
P:156 [binder, in Hoare]
P:16 [binder, in UseAuto]
P:16 [binder, in Hoare2]
P:16 [binder, in UseTactics]
P:163 [binder, in Hoare]
P:17 [binder, in HoareAsLogic]
P:19 [binder, in Hoare2]
P:190 [binder, in LibTactics]
p:191 [binder, in LibTactics]
P:192 [binder, in UseAuto]
P:198 [binder, in LibTactics]
P:199 [binder, in Hoare]
P:199 [binder, in LibTactics]
P:22 [binder, in UseAuto]
P:220 [binder, in Sub]
P:239 [binder, in Hoare]
P:24 [binder, in LibTactics]
P:24 [binder, in HoareAsLogic]
P:244 [binder, in Hoare]
P:25 [binder, in UseAuto]
P:253 [binder, in Hoare]
P:277 [binder, in LibTactics]
P:29 [binder, in HoareAsLogic]
P:303 [binder, in Hoare]
P:309 [binder, in Hoare]
P:312 [binder, in Hoare]
P:318 [binder, in Hoare]
P:322 [binder, in Hoare]
P:328 [binder, in Hoare]
p:332 [binder, in Smallstep]
P:333 [binder, in Hoare]
P:334 [binder, in Hoare]
p:335 [binder, in Smallstep]
p:339 [binder, in Smallstep]
P:339 [binder, in Hoare]
p:343 [binder, in Smallstep]
p:347 [binder, in Smallstep]
P:35 [binder, in Hoare]
P:36 [binder, in HoareAsLogic]
P:38 [binder, in Hoare2]
P:40 [binder, in Hoare]
P:41 [binder, in HoareAsLogic]
p:424 [binder, in PE]
P:43 [binder, in Hoare2]
P:44 [binder, in UseAuto]
P:44 [binder, in Hoare]
p:453 [binder, in PE]
p:457 [binder, in PE]
P:46 [binder, in UseAuto]
p:468 [binder, in PE]
P:48 [binder, in Hoare]
P:49 [binder, in Hoare]
P:49 [binder, in HoareAsLogic]
P:5 [binder, in UseAuto]
P:5 [binder, in Hoare]
P:51 [binder, in UseAuto]
P:52 [binder, in UseAuto]
P:52 [binder, in HoareAsLogic]
P:54 [binder, in UseAuto]
P:55 [binder, in LibTactics]
P:56 [binder, in UseAuto]
P:56 [binder, in Hoare]
p:56 [binder, in Hoare2]
P:57 [binder, in LibTactics]
P:58 [binder, in UseAuto]
p:58 [binder, in Hoare2]
P:58 [binder, in UseTactics]
P:6 [binder, in UseTactics]
P:61 [binder, in UseAuto]
P:61 [binder, in Hoare]
P:62 [binder, in Hoare]
P:62 [binder, in UseTactics]
P:62 [binder, in LibTactics]
P:64 [binder, in HoareAsLogic]
P:65 [binder, in Hoare]
P:68 [binder, in LibTactics]
P:69 [binder, in Hoare]
P:71 [binder, in HoareAsLogic]
P:73 [binder, in Hoare]
P:76 [binder, in LibTactics]
P:77 [binder, in Hoare]
P:8 [binder, in Hoare]
P:8 [binder, in HoareAsLogic]
P:81 [binder, in Hoare]
P:86 [binder, in Hoare]
P:86 [binder, in LibTactics]
P:89 [binder, in Hoare2]
P:9 [binder, in UseAuto]
P:90 [binder, in Hoare]
P:94 [binder, in Hoare]
P:96 [binder, in Hoare2]
P:98 [binder, in Hoare]
P:98 [binder, in LibTactics]

Q

Q':104 [binder, in Hoare]
Q':32 [binder, in HoareAsLogic]
Q':324 [binder, in Hoare]
Q':43 [binder, in HoareAsLogic]
Q':79 [binder, in Hoare]
Q':84 [binder, in Hoare]
Q:100 [binder, in Hoare]
Q:103 [binder, in Hoare]
Q:106 [binder, in LibTactics]
Q:110 [binder, in LibTactics]
Q:115 [binder, in Hoare]
Q:115 [binder, in LibTactics]
Q:14 [binder, in Hoare2]
Q:14 [binder, in HoareAsLogic]
Q:153 [binder, in Hoare]
Q:158 [binder, in Hoare]
Q:160 [binder, in Hoare]
Q:166 [binder, in Hoare]
Q:17 [binder, in UseAuto]
Q:17 [binder, in UseTactics]
Q:18 [binder, in Hoare2]
Q:18 [binder, in HoareAsLogic]
Q:2 [binder, in UseAuto]
Q:200 [binder, in LibTactics]
Q:201 [binder, in Hoare]
Q:22 [binder, in Hoare2]
Q:23 [binder, in UseAuto]
Q:241 [binder, in Hoare]
Q:246 [binder, in Hoare]
Q:249 [binder, in Hoare]
Q:251 [binder, in Hoare]
Q:26 [binder, in UseAuto]
Q:3 [binder, in Hoare2]
Q:3 [binder, in HoareAsLogic]
Q:30 [binder, in HoareAsLogic]
Q:305 [binder, in Hoare]
Q:311 [binder, in Hoare]
Q:314 [binder, in Hoare]
Q:315 [binder, in Hoare]
Q:320 [binder, in Hoare]
Q:323 [binder, in Hoare]
Q:329 [binder, in Hoare]
Q:335 [binder, in Hoare]
Q:37 [binder, in Hoare]
Q:37 [binder, in HoareAsLogic]
Q:41 [binder, in Hoare]
Q:42 [binder, in HoareAsLogic]
Q:45 [binder, in Hoare]
Q:50 [binder, in Hoare]
Q:51 [binder, in HoareAsLogic]
Q:54 [binder, in HoareAsLogic]
Q:56 [binder, in LibTactics]
Q:56 [binder, in HoareAsLogic]
Q:58 [binder, in Hoare]
Q:6 [binder, in UseAuto]
Q:6 [binder, in Hoare]
Q:60 [binder, in HoareAsLogic]
Q:62 [binder, in HoareAsLogic]
Q:65 [binder, in HoareAsLogic]
Q:7 [binder, in UseTactics]
Q:70 [binder, in HoareAsLogic]
Q:73 [binder, in HoareAsLogic]
Q:75 [binder, in Hoare]
Q:78 [binder, in Hoare]
Q:8 [binder, in Hoare2]
Q:83 [binder, in Hoare]
Q:88 [binder, in Hoare]
Q:9 [binder, in HoareAsLogic]
Q:91 [binder, in Hoare2]
Q:92 [binder, in Hoare]
Q:93 [binder, in Hoare2]
Q:96 [binder, in Hoare]
Q:97 [binder, in Hoare2]

R

R [definition, in Norm]
Records [library]
RecordSub [module, in RecordSub]
RecordSub [library]
RecordSub.abs_arrow [lemma, in RecordSub]
RecordSub.canonical_forms_of_arrow_types [lemma, in RecordSub]
RecordSub.context [definition, in RecordSub]
RecordSub.Examples [module, in RecordSub]
RecordSub.Examples.A [abbreviation, in RecordSub]
RecordSub.Examples.B [abbreviation, in RecordSub]
RecordSub.Examples.C [abbreviation, in RecordSub]
RecordSub.Examples.i [abbreviation, in RecordSub]
RecordSub.Examples.j [abbreviation, in RecordSub]
RecordSub.Examples.k [abbreviation, in RecordSub]
RecordSub.Examples.subtyping_example_4 [definition, in RecordSub]
RecordSub.Examples.subtyping_example_3 [definition, in RecordSub]
RecordSub.Examples.subtyping_example_2 [definition, in RecordSub]
RecordSub.Examples.subtyping_example_1 [definition, in RecordSub]
RecordSub.Examples.subtyping_example_0 [definition, in RecordSub]
RecordSub.Examples.TRcd_kj [definition, in RecordSub]
RecordSub.Examples.TRcd_j [definition, in RecordSub]
RecordSub.Examples.x [abbreviation, in RecordSub]
RecordSub.Examples.y [abbreviation, in RecordSub]
RecordSub.Examples.z [abbreviation, in RecordSub]
RecordSub.Examples2 [module, in RecordSub]
RecordSub.Examples2.trcd_kj [definition, in RecordSub]
RecordSub.Examples2.typing_example_2 [definition, in RecordSub]
RecordSub.Examples2.typing_example_1 [definition, in RecordSub]
RecordSub.Examples2.typing_example_0 [definition, in RecordSub]
RecordSub.has_type__wf [lemma, in RecordSub]
RecordSub.has_type [inductive, in RecordSub]
RecordSub.lookup_field_in_value [lemma, in RecordSub]
RecordSub.manual_grade_for_rcd_types_match_informal [definition, in RecordSub]
RecordSub.preservation [lemma, in RecordSub]
RecordSub.progress [lemma, in RecordSub]
RecordSub.rcd_types_match [lemma, in RecordSub]
RecordSub.record_tm [inductive, in RecordSub]
RecordSub.record_ty [inductive, in RecordSub]
RecordSub.rtcons [constructor, in RecordSub]
RecordSub.RTcons [constructor, in RecordSub]
RecordSub.rtnil [constructor, in RecordSub]
RecordSub.RTnil [constructor, in RecordSub]
RecordSub.step [inductive, in RecordSub]
RecordSub.step_preserves_record_tm [lemma, in RecordSub]
RecordSub.ST_Rcd_Tail [constructor, in RecordSub]
RecordSub.ST_Rcd_Head [constructor, in RecordSub]
RecordSub.ST_ProjRcd [constructor, in RecordSub]
RecordSub.ST_Proj1 [constructor, in RecordSub]
RecordSub.ST_App2 [constructor, in RecordSub]
RecordSub.ST_App1 [constructor, in RecordSub]
RecordSub.ST_AppAbs [constructor, in RecordSub]
RecordSub.subst [definition, in RecordSub]
RecordSub.substitution_preserves_typing [lemma, in RecordSub]
RecordSub.subtype [inductive, in RecordSub]
RecordSub.subtype__wf [lemma, in RecordSub]
RecordSub.sub_inversion_arrow [lemma, in RecordSub]
RecordSub.S_RcdPerm [constructor, in RecordSub]
RecordSub.S_RcdDepth [constructor, in RecordSub]
RecordSub.S_RcdWidth [constructor, in RecordSub]
RecordSub.S_Arrow [constructor, in RecordSub]
RecordSub.S_Top [constructor, in RecordSub]
RecordSub.S_Trans [constructor, in RecordSub]
RecordSub.S_Refl [constructor, in RecordSub]
RecordSub.tlookup [definition, in RecordSub]
RecordSub.Tlookup [definition, in RecordSub]
RecordSub.tm [inductive, in RecordSub]
RecordSub.tm_rcons [constructor, in RecordSub]
RecordSub.tm_rnil [constructor, in RecordSub]
RecordSub.tm_rproj [constructor, in RecordSub]
RecordSub.tm_abs [constructor, in RecordSub]
RecordSub.tm_app [constructor, in RecordSub]
RecordSub.tm_var [constructor, in RecordSub]
RecordSub.ty [inductive, in RecordSub]
RecordSub.typing_inversion_abs [lemma, in RecordSub]
RecordSub.Ty_RCons [constructor, in RecordSub]
RecordSub.Ty_RNil [constructor, in RecordSub]
RecordSub.Ty_Arrow [constructor, in RecordSub]
RecordSub.Ty_Base [constructor, in RecordSub]
RecordSub.Ty_Top [constructor, in RecordSub]
RecordSub.T_RCons [constructor, in RecordSub]
RecordSub.T_RNil [constructor, in RecordSub]
RecordSub.T_Sub [constructor, in RecordSub]
RecordSub.T_Proj [constructor, in RecordSub]
RecordSub.T_App [constructor, in RecordSub]
RecordSub.T_Abs [constructor, in RecordSub]
RecordSub.T_Var [constructor, in RecordSub]
RecordSub.value [inductive, in RecordSub]
RecordSub.v_rcons [constructor, in RecordSub]
RecordSub.v_rnil [constructor, in RecordSub]
RecordSub.v_abs [constructor, in RecordSub]
RecordSub.weakening [lemma, in RecordSub]
RecordSub.weakening_empty [lemma, in RecordSub]
RecordSub.well_formed_ty [inductive, in RecordSub]
RecordSub.wfArrow [constructor, in RecordSub]
RecordSub.wfBase [constructor, in RecordSub]
RecordSub.wfRCons [constructor, in RecordSub]
RecordSub.wfRNil [constructor, in RecordSub]
RecordSub.wfTop [constructor, in RecordSub]
RecordSub.wf_rcd_lookup [lemma, in RecordSub]
stlc_ty:Top [notation, in RecordSub]
stlc_ty:nil [notation, in RecordSub]
stlc_ty:_ : _ :: _ [notation, in RecordSub]
stlc_ty:Base _ [notation, in RecordSub]
stlc_ty:_ -> _ [notation, in RecordSub]
stlc_ty:_ [notation, in RecordSub]
stlc_ty:( _ ) [notation, in RecordSub]
stlc:_ [notation, in RecordSub]
stlc:_ --> _ [notation, in RecordSub]
stlc:_ := _ :: _ [notation, in RecordSub]
stlc:_ _ [notation, in RecordSub]
stlc:nil [notation, in RecordSub]
stlc:( _ ) [notation, in RecordSub]
stlc:[ _ := _ ] _ [notation, in RecordSub]
stlc:\ _ : _ , _ [notation, in RecordSub]
stlc:{ _ } [notation, in RecordSub]
_ ⊢ _ ∈ _ [notation, in RecordSub]
_ <: _ [notation, in RecordSub]
_ --> _ [notation, in RecordSub]
<{ _ }> [notation, in RecordSub]
<{{ _ }}> [notation, in RecordSub]
reduce_to_zero_correct''' [lemma, in Hoare2]
reduce_to_zero_correct' [lemma, in Hoare2]
reduce_to_zero' [definition, in Hoare2]
References [library]
refines [definition, in Equiv]
refl_cequiv [lemma, in Equiv]
refl_bequiv [lemma, in Equiv]
refl_aequiv [lemma, in Equiv]
relation [definition, in Smallstep]
RepeatExercise [module, in Hoare]
RepeatExercise.CAsgn [constructor, in Hoare]
RepeatExercise.ceval [inductive, in Hoare]
RepeatExercise.CIf [constructor, in Hoare]
RepeatExercise.com [inductive, in Hoare]
RepeatExercise.CRepeat [constructor, in Hoare]
RepeatExercise.CSeq [constructor, in Hoare]
RepeatExercise.CSkip [constructor, in Hoare]
RepeatExercise.CWhile [constructor, in Hoare]
RepeatExercise.ex1_repeat_works [lemma, in Hoare]
RepeatExercise.ex1_repeat [definition, in Hoare]
RepeatExercise.E_WhileTrue [constructor, in Hoare]
RepeatExercise.E_WhileFalse [constructor, in Hoare]
RepeatExercise.E_IfFalse [constructor, in Hoare]
RepeatExercise.E_IfTrue [constructor, in Hoare]
RepeatExercise.E_Seq [constructor, in Hoare]
RepeatExercise.E_Asgn [constructor, in Hoare]
RepeatExercise.E_Skip [constructor, in Hoare]
RepeatExercise.hoare_triple [definition, in Hoare]
com:_ ; _ [notation, in Hoare]
com:_ := _ [notation, in Hoare]
com:if _ then _ else _ end [notation, in Hoare]
com:repeat _ until _ end [notation, in Hoare]
com:skip [notation, in Hoare]
com:while _ do _ end [notation, in Hoare]
_ =[ _ ]=> _ [notation, in Hoare]
{{ _ }} _ {{ _ }} [notation, in Hoare]
RingDemo [module, in UseAuto]
RingDemo.ring_demo [lemma, in UseAuto]
rm [definition, in LibTactics]
R_typable_empty [lemma, in Norm]
R_halts [lemma, in Norm]
R:122 [binder, in Smallstep]
R:130 [binder, in Smallstep]
R:134 [binder, in Smallstep]
R:141 [binder, in Smallstep]
R:16 [binder, in HoareAsLogic]
R:18 [binder, in UseAuto]
R:18 [binder, in UseTactics]
R:25 [binder, in Smallstep]
R:256 [binder, in References]
r:272 [binder, in Hoare]
r:277 [binder, in Hoare]
r:282 [binder, in Hoare]
r:291 [binder, in Hoare]
r:307 [binder, in Hoare]
R:330 [binder, in Hoare]
R:45 [binder, in Smallstep]
R:51 [binder, in Hoare]

S

sample_proof [definition, in HoareAsLogic]
search_depth_5 [lemma, in UseAuto]
search_depth_4 [lemma, in UseAuto]
search_depth_3 [lemma, in UseAuto]
search_depth_1 [lemma, in UseAuto]
search_depth_0 [lemma, in UseAuto]
Semantics [module, in UseAuto]
Semantics.multistep__eval'' [lemma, in UseAuto]
Semantics.multistep__eval' [lemma, in UseAuto]
Semantics.multistep_eval_ind [lemma, in UseAuto]
Semantics.multistep__eval [lemma, in UseAuto]
seq_assoc [lemma, in Equiv]
SimpleArith1 [module, in Smallstep]
SimpleArith1.step [inductive, in Smallstep]
SimpleArith1.ST_Plus2 [constructor, in Smallstep]
SimpleArith1.ST_Plus1 [constructor, in Smallstep]
SimpleArith1.ST_PlusConstConst [constructor, in Smallstep]
SimpleArith1.test_step_2 [definition, in Smallstep]
SimpleArith1.test_step_1 [definition, in Smallstep]
_ --> _ [notation, in Smallstep]
SimpleArith2 [module, in Smallstep]
SimpleArith2.step_deterministic [lemma, in Smallstep]
SimpleArith3 [module, in Smallstep]
SimpleArith3.step_deterministic_alt [lemma, in Smallstep]
Si:103 [binder, in RecordSub]
SkipExample [module, in UseTactics]
SkipExample.ceval_deterministic [lemma, in UseTactics]
SkipExample.demo_admits [lemma, in UseTactics]
SkipExample.mult_plus_0 [lemma, in UseTactics]
skip_right [lemma, in Equiv]
skip_left [lemma, in Equiv]
skip_axiom [axiom, in LibTactics]
slow_assignment [lemma, in Hoare2]
slow_assignment_dec [definition, in Hoare2]
Smallstep [library]
solved_by_jauto [lemma, in UseAuto]
solving_by_symmetry [lemma, in UseAuto]
solving_exists_hyp [lemma, in UseAuto]
solving_exists_goal [lemma, in UseAuto]
solving_tauto [lemma, in UseAuto]
solving_disj_hyp [lemma, in UseAuto]
solving_disj_goal [lemma, in UseAuto]
solving_conj_hyp_forall [lemma, in UseAuto]
solving_conj_more [lemma, in UseAuto]
solving_conj_hyp' [lemma, in UseAuto]
solving_conj_hyp [lemma, in UseAuto]
solving_conj_goal [lemma, in UseAuto]
solving_by_eapply [lemma, in UseAuto]
solving_by_apply [lemma, in UseAuto]
solving_by_reflexivity [lemma, in UseAuto]
SortExamples [module, in UseTactics]
SortExamples.ceval_deterministic [lemma, in UseTactics]
sqrt_correct [lemma, in Hoare2]
sqrt_dec [definition, in Hoare2]
Sr₂:87 [binder, in RecordSub]
SS_Mult [constructor, in Smallstep]
SS_Minus [constructor, in Smallstep]
SS_Plus [constructor, in Smallstep]
SS_Load [constructor, in Smallstep]
SS_Push [constructor, in Smallstep]
ss:180 [binder, in Norm]
ss:224 [binder, in Norm]
ss:232 [binder, in Norm]
ss:234 [binder, in Norm]
ss:238 [binder, in Norm]
stack [definition, in Smallstep]
stack_multistep [definition, in Smallstep]
stack_step_deterministic [lemma, in Smallstep]
stack_step [inductive, in Smallstep]
step [inductive, in Smallstep]
step [inductive, in Norm]
StepFunction [module, in Typechecking]
StepFunction.assert [definition, in Typechecking]
StepFunction.complete_stepf [lemma, in Typechecking]
StepFunction.complete_valuef [lemma, in Typechecking]
StepFunction.manual_grade_for_stepf_defn [definition, in Typechecking]
StepFunction.manual_grade_for_valuef_defn [definition, in Typechecking]
StepFunction.sound_stepf [lemma, in Typechecking]
StepFunction.sound_valuef [lemma, in Typechecking]
StepFunction.stepf [definition, in Typechecking]
StepFunction.valuef [definition, in Typechecking]
StepFunction.value_stepf_nf [lemma, in Typechecking]
step_example1''' [definition, in Smallstep]
step_example1'' [definition, in Smallstep]
step_example1' [definition, in Smallstep]
step_example1 [definition, in Smallstep]
step__eval [lemma, in Smallstep]
step_normalizing [lemma, in Smallstep]
step_normal_form [definition, in Smallstep]
step_deterministic [lemma, in Smallstep]
step_preserves_R' [lemma, in Norm]
step_preserves_R [lemma, in Norm]
step_preserves_halting [lemma, in Norm]
step_deterministic [lemma, in Norm]
step_normal_form [abbreviation, in Norm]
stk:330 [binder, in Smallstep]
stk:333 [binder, in Smallstep]
stk:336 [binder, in Smallstep]
stk:340 [binder, in Smallstep]
stk:344 [binder, in Smallstep]
STLC [module, in Stlc]
Stlc [library]
STLCArith [module, in StlcProp]
STLCArith.context [definition, in StlcProp]
STLCArith.has_type [inductive, in StlcProp]
STLCArith.multistep [abbreviation, in StlcProp]
STLCArith.Nat_typing_example [definition, in StlcProp]
STLCArith.Nat_step_example [definition, in StlcProp]
STLCArith.preservation [lemma, in StlcProp]
STLCArith.progress [lemma, in StlcProp]
STLCArith.step [inductive, in StlcProp]
STLCArith.subst [definition, in StlcProp]
STLCArith.tm [inductive, in StlcProp]
STLCArith.tm_if₀ [constructor, in StlcProp]
STLCArith.tm_mult [constructor, in StlcProp]
STLCArith.tm_pred [constructor, in StlcProp]
STLCArith.tm_succ [constructor, in StlcProp]
STLCArith.tm_const [constructor, in StlcProp]
STLCArith.tm_abs [constructor, in StlcProp]
STLCArith.tm_app [constructor, in StlcProp]
STLCArith.tm_var [constructor, in StlcProp]
STLCArith.ty [inductive, in StlcProp]
STLCArith.Ty_Nat [constructor, in StlcProp]
STLCArith.Ty_Arrow [constructor, in StlcProp]
STLCArith.value [inductive, in StlcProp]
STLCArith.weakening [lemma, in StlcProp]
stlc:_ [notation, in StlcProp]
stlc:_ * _ [notation, in StlcProp]
stlc:_ _ [notation, in StlcProp]
stlc:_ -> _ [notation, in StlcProp]
stlc:if₀ _ then _ else _ [notation, in StlcProp]
stlc:Nat [notation, in StlcProp]
stlc:pred _ [notation, in StlcProp]
stlc:succ _ [notation, in StlcProp]
stlc:( _ ) [notation, in StlcProp]
stlc:\ _ : _ , _ [notation, in StlcProp]
stlc:{ _ } [notation, in StlcProp]
_ ⊢ _ ∈ _ [notation, in StlcProp]
_ -->* _ [notation, in StlcProp]
_ --> _ [notation, in StlcProp]
<{ _ }> [notation, in StlcProp]
STLCChecker [module, in Typechecking]
STLCChecker.type_checking_complete [lemma, in Typechecking]
STLCChecker.type_checking_sound [lemma, in Typechecking]
STLCChecker.type_check [definition, in Typechecking]
STLCExtended [module, in MoreStlc]
STLCExtendedRecords [module, in Records]
STLCExtendedRecords.A [abbreviation, in Records]
STLCExtendedRecords.a [abbreviation, in Records]
STLCExtendedRecords.B [abbreviation, in Records]
STLCExtendedRecords.context [definition, in Records]
STLCExtendedRecords.f [abbreviation, in Records]
STLCExtendedRecords.FirstTry [module, in Records]
STLCExtendedRecords.FirstTry.alist [definition, in Records]
STLCExtendedRecords.FirstTry.Arrow [constructor, in Records]
STLCExtendedRecords.FirstTry.Base [constructor, in Records]
STLCExtendedRecords.FirstTry.TRcd [constructor, in Records]
STLCExtendedRecords.FirstTry.ty [inductive, in Records]
STLCExtendedRecords.g [abbreviation, in Records]
STLCExtendedRecords.has_type__wf [lemma, in Records]
STLCExtendedRecords.has_type [inductive, in Records]
STLCExtendedRecords.i1 [abbreviation, in Records]
STLCExtendedRecords.i2 [abbreviation, in Records]
STLCExtendedRecords.k [abbreviation, in Records]
STLCExtendedRecords.l [abbreviation, in Records]
STLCExtendedRecords.lookup_field_in_value [lemma, in Records]
STLCExtendedRecords.multistep [abbreviation, in Records]
STLCExtendedRecords.preservation [lemma, in Records]
STLCExtendedRecords.progress [lemma, in Records]
STLCExtendedRecords.record_tm [inductive, in Records]
STLCExtendedRecords.record_ty [inductive, in Records]
STLCExtendedRecords.rtcons [constructor, in Records]
STLCExtendedRecords.RTcons [constructor, in Records]
STLCExtendedRecords.rtnil [constructor, in Records]
STLCExtendedRecords.RTnil [constructor, in Records]
STLCExtendedRecords.step [inductive, in Records]
STLCExtendedRecords.step_preserves_record_tm [lemma, in Records]
STLCExtendedRecords.ST_Rcd_Tail [constructor, in Records]
STLCExtendedRecords.ST_Rcd_Head [constructor, in Records]
STLCExtendedRecords.ST_ProjRcd [constructor, in Records]
STLCExtendedRecords.ST_Proj1 [constructor, in Records]
STLCExtendedRecords.ST_App2 [constructor, in Records]
STLCExtendedRecords.ST_App1 [constructor, in Records]
STLCExtendedRecords.ST_AppAbs [constructor, in Records]
STLCExtendedRecords.subst [definition, in Records]
STLCExtendedRecords.substitution_preserves_typing [lemma, in Records]
STLCExtendedRecords.Tlookup [definition, in Records]
STLCExtendedRecords.tlookup [definition, in Records]
STLCExtendedRecords.tm [inductive, in Records]
STLCExtendedRecords.tm_rcons [constructor, in Records]
STLCExtendedRecords.tm_rnil [constructor, in Records]
STLCExtendedRecords.tm_rproj [constructor, in Records]
STLCExtendedRecords.tm_abs [constructor, in Records]
STLCExtendedRecords.tm_app [constructor, in Records]
STLCExtendedRecords.tm_var [constructor, in Records]
STLCExtendedRecords.ty [inductive, in Records]
STLCExtendedRecords.typing_nonexample_2 [definition, in Records]
STLCExtendedRecords.typing_nonexample [definition, in Records]
STLCExtendedRecords.typing_example_2 [lemma, in Records]
STLCExtendedRecords.Ty_RCons [constructor, in Records]
STLCExtendedRecords.Ty_RNil [constructor, in Records]
STLCExtendedRecords.Ty_Arrow [constructor, in Records]
STLCExtendedRecords.Ty_Base [constructor, in Records]
STLCExtendedRecords.T_RCons [constructor, in Records]
STLCExtendedRecords.T_RNil [constructor, in Records]
STLCExtendedRecords.T_Proj [constructor, in Records]
STLCExtendedRecords.T_App [constructor, in Records]
STLCExtendedRecords.T_Abs [constructor, in Records]
STLCExtendedRecords.T_Var [constructor, in Records]
STLCExtendedRecords.value [inductive, in Records]
STLCExtendedRecords.v_rcons [constructor, in Records]
STLCExtendedRecords.v_rnil [constructor, in Records]
STLCExtendedRecords.v_abs [constructor, in Records]
STLCExtendedRecords.weakening [lemma, in Records]
STLCExtendedRecords.weakening_empty [lemma, in Records]
STLCExtendedRecords.weird_type [definition, in Records]
STLCExtendedRecords.well_formed_ty [inductive, in Records]
STLCExtendedRecords.wfArrow [constructor, in Records]
STLCExtendedRecords.wfBase [constructor, in Records]
STLCExtendedRecords.wfRCons [constructor, in Records]
STLCExtendedRecords.wfRNil [constructor, in Records]
STLCExtendedRecords.wf_rcd_lookup [lemma, in Records]
stlc_ty:nil [notation, in Records]
stlc_ty:_ : _ :: _ [notation, in Records]
stlc_ty:Base _ [notation, in Records]
stlc_ty:_ -> _ [notation, in Records]
stlc_ty:_ [notation, in Records]
stlc_ty:( _ ) [notation, in Records]
stlc:_ [notation, in Records]
stlc:_ --> _ [notation, in Records]
stlc:_ := _ :: _ [notation, in Records]
stlc:_ _ [notation, in Records]
stlc:nil [notation, in Records]
stlc:( _ ) [notation, in Records]
stlc:[ _ := _ ] _ [notation, in Records]
stlc:\ _ : _ , _ [notation, in Records]
stlc:{ _ } [notation, in Records]
_ ⊢ _ ∈ _ [notation, in Records]
_ -->* _ [notation, in Records]
_ --> _ [notation, in Records]
<{ _ }> [notation, in Records]
<{{ _ }}> [notation, in Records]
STLCExtended.context [definition, in MoreStlc]
STLCExtended.Examples [module, in MoreStlc]
STLCExtended.Examples.a [abbreviation, in MoreStlc]
STLCExtended.Examples.eo [abbreviation, in MoreStlc]
STLCExtended.Examples.eq [abbreviation, in MoreStlc]
STLCExtended.Examples.even [abbreviation, in MoreStlc]
STLCExtended.Examples.evenodd [abbreviation, in MoreStlc]
STLCExtended.Examples.f [abbreviation, in MoreStlc]
STLCExtended.Examples.FixTest1 [module, in MoreStlc]
STLCExtended.Examples.FixTest1.fact [definition, in MoreStlc]
STLCExtended.Examples.FixTest1.reduces [definition, in MoreStlc]
STLCExtended.Examples.FixTest1.typechecks [definition, in MoreStlc]
STLCExtended.Examples.FixTest2 [module, in MoreStlc]
STLCExtended.Examples.FixTest2.map [definition, in MoreStlc]
STLCExtended.Examples.FixTest2.reduces [definition, in MoreStlc]
STLCExtended.Examples.FixTest2.typechecks [definition, in MoreStlc]
STLCExtended.Examples.FixTest3 [module, in MoreStlc]
STLCExtended.Examples.FixTest3.equal [definition, in MoreStlc]
STLCExtended.Examples.FixTest3.reduces [definition, in MoreStlc]
STLCExtended.Examples.FixTest3.reduces2 [definition, in MoreStlc]
STLCExtended.Examples.FixTest3.typechecks [definition, in MoreStlc]
STLCExtended.Examples.FixTest4 [module, in MoreStlc]
STLCExtended.Examples.FixTest4.eotest [definition, in MoreStlc]
STLCExtended.Examples.FixTest4.reduces [definition, in MoreStlc]
STLCExtended.Examples.FixTest4.typechecks [definition, in MoreStlc]
STLCExtended.Examples.g [abbreviation, in MoreStlc]
STLCExtended.Examples.i1 [abbreviation, in MoreStlc]
STLCExtended.Examples.i2 [abbreviation, in MoreStlc]
STLCExtended.Examples.k [abbreviation, in MoreStlc]
STLCExtended.Examples.l [abbreviation, in MoreStlc]
STLCExtended.Examples.LetTest [module, in MoreStlc]
STLCExtended.Examples.LetTest.reduces [definition, in MoreStlc]
STLCExtended.Examples.LetTest.tm_test [definition, in MoreStlc]
STLCExtended.Examples.LetTest.typechecks [definition, in MoreStlc]
STLCExtended.Examples.ListTest [module, in MoreStlc]
STLCExtended.Examples.ListTest.reduces [definition, in MoreStlc]
STLCExtended.Examples.ListTest.tm_test [definition, in MoreStlc]
STLCExtended.Examples.ListTest.typechecks [definition, in MoreStlc]
STLCExtended.Examples.m [abbreviation, in MoreStlc]
STLCExtended.Examples.n [abbreviation, in MoreStlc]
STLCExtended.Examples.Numtest [module, in MoreStlc]
STLCExtended.Examples.Numtest.reduces [definition, in MoreStlc]
STLCExtended.Examples.Numtest.tm_test [definition, in MoreStlc]
STLCExtended.Examples.Numtest.typechecks [definition, in MoreStlc]
STLCExtended.Examples.odd [abbreviation, in MoreStlc]
STLCExtended.Examples.processSum [abbreviation, in MoreStlc]
STLCExtended.Examples.ProdTest [module, in MoreStlc]
STLCExtended.Examples.ProdTest.reduces [definition, in MoreStlc]
STLCExtended.Examples.ProdTest.tm_test [definition, in MoreStlc]
STLCExtended.Examples.ProdTest.typechecks [definition, in MoreStlc]
STLCExtended.Examples.Sumtest1 [module, in MoreStlc]
STLCExtended.Examples.Sumtest1.reduces [definition, in MoreStlc]
STLCExtended.Examples.Sumtest1.tm_test [definition, in MoreStlc]
STLCExtended.Examples.Sumtest1.typechecks [definition, in MoreStlc]
STLCExtended.Examples.Sumtest2 [module, in MoreStlc]
STLCExtended.Examples.Sumtest2.reduces [definition, in MoreStlc]
STLCExtended.Examples.Sumtest2.tm_test [definition, in MoreStlc]
STLCExtended.Examples.Sumtest2.typechecks [definition, in MoreStlc]
STLCExtended.Examples.x [abbreviation, in MoreStlc]
STLCExtended.Examples.y [abbreviation, in MoreStlc]
STLCExtended.has_type [inductive, in MoreStlc]
STLCExtended.multistep [abbreviation, in MoreStlc]
STLCExtended.preservation [lemma, in MoreStlc]
STLCExtended.progress [lemma, in MoreStlc]
STLCExtended.step [inductive, in MoreStlc]
STLCExtended.ST_LcaseCons [constructor, in MoreStlc]
STLCExtended.ST_LcaseNil [constructor, in MoreStlc]
STLCExtended.ST_Lcase1 [constructor, in MoreStlc]
STLCExtended.ST_Cons2 [constructor, in MoreStlc]
STLCExtended.ST_Cons1 [constructor, in MoreStlc]
STLCExtended.ST_CaseInr [constructor, in MoreStlc]
STLCExtended.ST_CaseInl [constructor, in MoreStlc]
STLCExtended.ST_Case [constructor, in MoreStlc]
STLCExtended.ST_Inr [constructor, in MoreStlc]
STLCExtended.ST_Inl [constructor, in MoreStlc]
STLCExtended.ST_If0_Nonzero [constructor, in MoreStlc]
STLCExtended.ST_If0_Zero [constructor, in MoreStlc]
STLCExtended.ST_If₀ [constructor, in MoreStlc]
STLCExtended.ST_Mult2 [constructor, in MoreStlc]
STLCExtended.ST_Mult1 [constructor, in MoreStlc]
STLCExtended.ST_Mulconsts [constructor, in MoreStlc]
STLCExtended.ST_PredNat [constructor, in MoreStlc]
STLCExtended.ST_Pred [constructor, in MoreStlc]
STLCExtended.ST_SuccNat [constructor, in MoreStlc]
STLCExtended.ST_Succ [constructor, in MoreStlc]
STLCExtended.ST_App2 [constructor, in MoreStlc]
STLCExtended.ST_App1 [constructor, in MoreStlc]
STLCExtended.ST_AppAbs [constructor, in MoreStlc]
STLCExtended.subst [definition, in MoreStlc]
STLCExtended.substitution_preserves_typing [lemma, in MoreStlc]
STLCExtended.tm [inductive, in MoreStlc]
STLCExtended.tm_fix [constructor, in MoreStlc]
STLCExtended.tm_let [constructor, in MoreStlc]
STLCExtended.tm_snd [constructor, in MoreStlc]
STLCExtended.tm_fst [constructor, in MoreStlc]
STLCExtended.tm_pair [constructor, in MoreStlc]
STLCExtended.tm_unit [constructor, in MoreStlc]
STLCExtended.tm_lcase [constructor, in MoreStlc]
STLCExtended.tm_cons [constructor, in MoreStlc]
STLCExtended.tm_nil [constructor, in MoreStlc]
STLCExtended.tm_case [constructor, in MoreStlc]
STLCExtended.tm_inr [constructor, in MoreStlc]
STLCExtended.tm_inl [constructor, in MoreStlc]
STLCExtended.tm_if₀ [constructor, in MoreStlc]
STLCExtended.tm_mult [constructor, in MoreStlc]
STLCExtended.tm_pred [constructor, in MoreStlc]
STLCExtended.tm_succ [constructor, in MoreStlc]
STLCExtended.tm_const [constructor, in MoreStlc]
STLCExtended.tm_abs [constructor, in MoreStlc]
STLCExtended.tm_app [constructor, in MoreStlc]
STLCExtended.tm_var [constructor, in MoreStlc]
STLCExtended.ty [inductive, in MoreStlc]
STLCExtended.Ty_Prod [constructor, in MoreStlc]
STLCExtended.Ty_Unit [constructor, in MoreStlc]
STLCExtended.Ty_List [constructor, in MoreStlc]
STLCExtended.Ty_Sum [constructor, in MoreStlc]
STLCExtended.Ty_Nat [constructor, in MoreStlc]
STLCExtended.Ty_Arrow [constructor, in MoreStlc]
STLCExtended.T_Unit [constructor, in MoreStlc]
STLCExtended.T_Lcase [constructor, in MoreStlc]
STLCExtended.T_Cons [constructor, in MoreStlc]
STLCExtended.T_Nil [constructor, in MoreStlc]
STLCExtended.T_Case [constructor, in MoreStlc]
STLCExtended.T_Inr [constructor, in MoreStlc]
STLCExtended.T_Inl [constructor, in MoreStlc]
STLCExtended.T_If₀ [constructor, in MoreStlc]
STLCExtended.T_Mult [constructor, in MoreStlc]
STLCExtended.T_Pred [constructor, in MoreStlc]
STLCExtended.T_Succ [constructor, in MoreStlc]
STLCExtended.T_Nat [constructor, in MoreStlc]
STLCExtended.T_App [constructor, in MoreStlc]
STLCExtended.T_Abs [constructor, in MoreStlc]
STLCExtended.T_Var [constructor, in MoreStlc]
STLCExtended.value [inductive, in MoreStlc]
STLCExtended.v_pair [constructor, in MoreStlc]
STLCExtended.v_unit [constructor, in MoreStlc]
STLCExtended.v_lcons [constructor, in MoreStlc]
STLCExtended.v_lnil [constructor, in MoreStlc]
STLCExtended.v_inr [constructor, in MoreStlc]
STLCExtended.v_inl [constructor, in MoreStlc]
STLCExtended.v_nat [constructor, in MoreStlc]
STLCExtended.v_abs [constructor, in MoreStlc]
STLCExtended.weakening [lemma, in MoreStlc]
STLCExtended.weakening_empty [lemma, in MoreStlc]
STLCExtended.x [definition, in MoreStlc]
STLCExtended.y [definition, in MoreStlc]
STLCExtended.z [definition, in MoreStlc]
stlc_ty:Unit [notation, in MoreStlc]
stlc_ty:List _ [notation, in MoreStlc]
stlc_ty:_ * _ [notation, in MoreStlc]
stlc_ty:_ + _ [notation, in MoreStlc]
stlc_ty:Nat [notation, in MoreStlc]
stlc_ty:_ -> _ [notation, in MoreStlc]
stlc_ty:_ [notation, in MoreStlc]
stlc_ty:( _ ) [notation, in MoreStlc]
stlc:_ [notation, in MoreStlc]
stlc:_ :: _ [notation, in MoreStlc]
stlc:_ .snd [notation, in MoreStlc]
stlc:_ .fst [notation, in MoreStlc]
stlc:_ * _ [notation, in MoreStlc]
stlc:_ _ [notation, in MoreStlc]
stlc:case _ of | nil => _ | _ :: _ => _ [notation, in MoreStlc]
stlc:case _ of | inl _ => _ | inr _ => _ [notation, in MoreStlc]
stlc:fix _ [notation, in MoreStlc]
stlc:if₀ _ then _ else _ [notation, in MoreStlc]
stlc:inl _ _ [notation, in MoreStlc]
stlc:inr _ _ [notation, in MoreStlc]
stlc:let _ = _ in _ [notation, in MoreStlc]
stlc:nil _ [notation, in MoreStlc]
stlc:pred _ [notation, in MoreStlc]
stlc:succ _ [notation, in MoreStlc]
stlc:unit [notation, in MoreStlc]
stlc:( _ , _ ) [notation, in MoreStlc]
stlc:( _ ) [notation, in MoreStlc]
stlc:[ _ := _ ] _ [notation, in MoreStlc]
stlc:\ _ : _ , _ [notation, in MoreStlc]
stlc:{ _ } [notation, in MoreStlc]
_ ⊢ _ ∈ _ [notation, in MoreStlc]
_ -->* _ [notation, in MoreStlc]
_ --> _ [notation, in MoreStlc]
<{ _ }> [notation, in MoreStlc]
<{{ _ }}> [notation, in MoreStlc]
StlcImpl [module, in Typechecking]
STLCProp [module, in StlcProp]
StlcProp [library]
STLCProp.afi_if₃ [constructor, in StlcProp]
STLCProp.afi_if₂ [constructor, in StlcProp]
STLCProp.afi_if₁ [constructor, in StlcProp]
STLCProp.afi_abs [constructor, in StlcProp]
STLCProp.afi_app2 [constructor, in StlcProp]
STLCProp.afi_app1 [constructor, in StlcProp]
STLCProp.afi_var [constructor, in StlcProp]
STLCProp.appears_free_in [inductive, in StlcProp]
STLCProp.canonical_forms_fun [lemma, in StlcProp]
STLCProp.canonical_forms_bool [lemma, in StlcProp]
STLCProp.closed [definition, in StlcProp]
STLCProp.context_invariance [lemma, in StlcProp]
STLCProp.free_in_context [lemma, in StlcProp]
STLCProp.manual_grade_for_stlc_variation3 [definition, in StlcProp]
STLCProp.manual_grade_for_stlc_variation2 [definition, in StlcProp]
STLCProp.manual_grade_for_stlc_variation1 [definition, in StlcProp]
STLCProp.manual_grade_for_progress_preservation_statement [definition, in StlcProp]
STLCProp.manual_grade_for_afi [definition, in StlcProp]
STLCProp.manual_grade_for_subject_expansion_stlc [definition, in StlcProp]
STLCProp.not_subject_expansion [lemma, in StlcProp]
STLCProp.preservation [lemma, in StlcProp]
STLCProp.progress [lemma, in StlcProp]
STLCProp.progress' [lemma, in StlcProp]
STLCProp.stuck [definition, in StlcProp]
STLCProp.substitution_preserves_typing_from_typing_ind [lemma, in StlcProp]
STLCProp.substitution_preserves_typing [lemma, in StlcProp]
STLCProp.typable_empty__closed [lemma, in StlcProp]
STLCProp.type_soundness [lemma, in StlcProp]
STLCProp.unique_types [lemma, in StlcProp]
STLCProp.weakening [lemma, in StlcProp]
STLCProp.weakening_empty [lemma, in StlcProp]
STLCRef [module, in References]
STLCRef.assign_pres_store_typing [lemma, in References]
STLCRef.context [definition, in References]
STLCRef.cyclic_store [lemma, in References]
STLCRef.ExampleVariables [module, in References]
STLCRef.ExampleVariables.r [definition, in References]
STLCRef.ExampleVariables.s [definition, in References]
STLCRef.ExampleVariables.x [definition, in References]
STLCRef.ExampleVariables.y [definition, in References]
STLCRef.extends [inductive, in References]
STLCRef.extends_refl [lemma, in References]
STLCRef.extends_app [lemma, in References]
STLCRef.extends_lookup [lemma, in References]
STLCRef.extends_cons [constructor, in References]
STLCRef.extends_nil [constructor, in References]
STLCRef.has_type [inductive, in References]
STLCRef.length_extends [lemma, in References]
STLCRef.length_replace [lemma, in References]
STLCRef.lookup_replace_neq [lemma, in References]
STLCRef.lookup_replace_eq [lemma, in References]
STLCRef.manual_grade_for_preservation_informal [definition, in References]
STLCRef.manual_grade_for_type_safety_violation [definition, in References]
STLCRef.manual_grade_for_compact_update [definition, in References]
STLCRef.multistep [definition, in References]
STLCRef.nth_eq_last [lemma, in References]
STLCRef.preservation [lemma, in References]
STLCRef.preservation_theorem [definition, in References]
STLCRef.preservation_wrong2 [lemma, in References]
STLCRef.preservation_wrong1 [lemma, in References]
STLCRef.progress [lemma, in References]
STLCRef.RefsAndNontermination [module, in References]
STLCRef.RefsAndNontermination.factorial [definition, in References]
STLCRef.RefsAndNontermination.factorial_type [lemma, in References]
STLCRef.RefsAndNontermination.loop [definition, in References]
STLCRef.RefsAndNontermination.loop_fun_step_self [lemma, in References]
STLCRef.RefsAndNontermination.loop_steps_to_loop_fun [lemma, in References]
STLCRef.RefsAndNontermination.loop_typeable [lemma, in References]
STLCRef.RefsAndNontermination.loop_fun [definition, in References]
STLCRef.RefsAndNontermination.multistep1 [definition, in References]
STLCRef.RefsAndNontermination.sc_step [constructor, in References]
STLCRef.RefsAndNontermination.sc_one [constructor, in References]
STLCRef.RefsAndNontermination.step_closure [inductive, in References]
_ / _ -->+ _ / _ [notation, in References]
STLCRef.replace [definition, in References]
STLCRef.replace_nil [lemma, in References]
STLCRef.step [inductive, in References]
STLCRef.store [definition, in References]
STLCRef.store_well_typed_app [lemma, in References]
STLCRef.store_weakening [lemma, in References]
STLCRef.store_not_unique [lemma, in References]
STLCRef.store_well_typed [definition, in References]
STLCRef.store_Tlookup [definition, in References]
STLCRef.store_ty [definition, in References]
STLCRef.store_lookup [definition, in References]
STLCRef.ST_Assign2 [constructor, in References]
STLCRef.ST_Assign1 [constructor, in References]
STLCRef.ST_Assign [constructor, in References]
STLCRef.ST_Deref [constructor, in References]
STLCRef.ST_DerefLoc [constructor, in References]
STLCRef.ST_Ref [constructor, in References]
STLCRef.ST_RefValue [constructor, in References]
STLCRef.ST_If0_Nonzero [constructor, in References]
STLCRef.ST_If0_Zero [constructor, in References]
STLCRef.ST_If₀ [constructor, in References]
STLCRef.ST_Mult2 [constructor, in References]
STLCRef.ST_Mult1 [constructor, in References]
STLCRef.ST_MultNats [constructor, in References]
STLCRef.ST_Pred [constructor, in References]
STLCRef.ST_PredNat [constructor, in References]
STLCRef.ST_Succ [constructor, in References]
STLCRef.ST_SuccNat [constructor, in References]
STLCRef.ST_App2 [constructor, in References]
STLCRef.ST_App1 [constructor, in References]
STLCRef.ST_AppAbs [constructor, in References]
STLCRef.subst [definition, in References]
STLCRef.substitution_preserves_typing [lemma, in References]
STLCRef.tm [inductive, in References]
STLCRef.tm_loc [constructor, in References]
STLCRef.tm_assign [constructor, in References]
STLCRef.tm_deref [constructor, in References]
STLCRef.tm_ref [constructor, in References]
STLCRef.tm_unit [constructor, in References]
STLCRef.tm_if₀ [constructor, in References]
STLCRef.tm_mult [constructor, in References]
STLCRef.tm_pred [constructor, in References]
STLCRef.tm_succ [constructor, in References]
STLCRef.tm_const [constructor, in References]
STLCRef.tm_abs [constructor, in References]
STLCRef.tm_app [constructor, in References]
STLCRef.tm_var [constructor, in References]
STLCRef.tseq [definition, in References]
STLCRef.ty [inductive, in References]
STLCRef.Ty_Ref [constructor, in References]
STLCRef.Ty_Arrow [constructor, in References]
STLCRef.Ty_Unit [constructor, in References]
STLCRef.Ty_Nat [constructor, in References]
STLCRef.T_Assign [constructor, in References]
STLCRef.T_Deref [constructor, in References]
STLCRef.T_Ref [constructor, in References]
STLCRef.T_Loc [constructor, in References]
STLCRef.T_Unit [constructor, in References]
STLCRef.T_If₀ [constructor, in References]
STLCRef.T_Mult [constructor, in References]
STLCRef.T_Pred [constructor, in References]
STLCRef.T_Succ [constructor, in References]
STLCRef.T_Nat [constructor, in References]
STLCRef.T_App [constructor, in References]
STLCRef.T_Abs [constructor, in References]
STLCRef.T_Var [constructor, in References]
STLCRef.value [inductive, in References]
STLCRef.v_loc [constructor, in References]
STLCRef.v_unit [constructor, in References]
STLCRef.v_nat [constructor, in References]
STLCRef.v_abs [constructor, in References]
STLCRef.weakening [lemma, in References]
STLCRef.weakening_empty [lemma, in References]
STLCRef.x [definition, in References]
STLCRef.y [definition, in References]
STLCRef.z [definition, in References]
stlc:_ [notation, in References]
stlc:_ ; _ [notation, in References]
stlc:_ := _ [notation, in References]
stlc:_ * _ [notation, in References]
stlc:_ _ [notation, in References]
stlc:_ -> _ [notation, in References]
stlc:if₀ _ then _ else _ [notation, in References]
stlc:loc _ [notation, in References]
stlc:Nat [notation, in References]
stlc:pred _ [notation, in References]
stlc:ref _ [notation, in References]
stlc:Ref _ [notation, in References]
stlc:succ _ [notation, in References]
stlc:unit [notation, in References]
stlc:Unit [notation, in References]
stlc:! _ [notation, in References]
stlc:( _ ) [notation, in References]
stlc:[ _ := _ ] _ [notation, in References]
stlc:\ _ : _ , _ [notation, in References]
stlc:{ _ } [notation, in References]
_ ; _ ⊢ _ ∈ _ [notation, in References]
_ / _ -->* _ / _ [notation, in References]
_ / _ --> _ / _ [notation, in References]
<{ _ }> [notation, in References]
STLCSub [module, in Sub]
STLCSub.abs_arrow [lemma, in Sub]
STLCSub.canonical_forms_of_Bool [lemma, in Sub]
STLCSub.canonical_forms_of_arrow_types [lemma, in Sub]
STLCSub.context [definition, in Sub]
STLCSub.Examples [module, in Sub]
STLCSub.Examples.A [abbreviation, in Sub]
STLCSub.Examples.B [abbreviation, in Sub]
STLCSub.Examples.C [abbreviation, in Sub]
STLCSub.Examples.Employee [definition, in Sub]
STLCSub.Examples.Float [abbreviation, in Sub]
STLCSub.Examples.Integer [abbreviation, in Sub]
STLCSub.Examples.Person [definition, in Sub]
STLCSub.Examples.String [abbreviation, in Sub]
STLCSub.Examples.Student [definition, in Sub]
STLCSub.Examples.subtyping_example_2 [definition, in Sub]
STLCSub.Examples.subtyping_example_1 [definition, in Sub]
STLCSub.Examples.subtyping_example_0 [definition, in Sub]
STLCSub.Examples.sub_employee_person [definition, in Sub]
STLCSub.Examples.sub_student_person [definition, in Sub]
STLCSub.Examples.x [abbreviation, in Sub]
STLCSub.Examples.y [abbreviation, in Sub]
STLCSub.Examples.z [abbreviation, in Sub]
STLCSub.Examples2 [module, in Sub]
STLCSub.FormalThoughtExercises [module, in Sub]
STLCSub.FormalThoughtExercises.a [abbreviation, in Sub]
STLCSub.FormalThoughtExercises.formal_smallest_2 [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_smallest_1 [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_4 [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_3 [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_2 [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_1 [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_proper_subtypes [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfh [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfg [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tff [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfe [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfd [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfc [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfb [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfa [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2e [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2d [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2b [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2a [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1g [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1f [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1e [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1d [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1c [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1b [lemma, in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1a [lemma, in Sub]
STLCSub.FormalThoughtExercises.p [abbreviation, in Sub]
STLCSub.FormalThoughtExercises.smallest [definition, in Sub]
STLCSub.FormalThoughtExercises.smallest_largest [definition, in Sub]
STLCSub.FormalThoughtExercises.TF [definition, in Sub]
STLCSub.has_type [inductive, in Sub]
STLCSub.manual_grade_for_products_preservation [definition, in Sub]
STLCSub.manual_grade_for_products_progress [definition, in Sub]
STLCSub.manual_grade_for_products_subtype_has_type [definition, in Sub]
STLCSub.manual_grade_for_products_value_step [definition, in Sub]
STLCSub.manual_grade_for_variations [definition, in Sub]
STLCSub.preservation [lemma, in Sub]
STLCSub.progress [lemma, in Sub]
STLCSub.step [inductive, in Sub]
STLCSub.ST_If [constructor, in Sub]
STLCSub.ST_IfFalse [constructor, in Sub]
STLCSub.ST_IfTrue [constructor, in Sub]
STLCSub.ST_App2 [constructor, in Sub]
STLCSub.ST_App1 [constructor, in Sub]
STLCSub.ST_AppAbs [constructor, in Sub]
STLCSub.subst [definition, in Sub]
STLCSub.substitution_preserves_typing [lemma, in Sub]
STLCSub.subtype [inductive, in Sub]
STLCSub.sub_inversion_Top [lemma, in Sub]
STLCSub.sub_inversion_Base [lemma, in Sub]
STLCSub.sub_inversion_Unit [lemma, in Sub]
STLCSub.sub_inversion_arrow [lemma, in Sub]
STLCSub.sub_inversion_Bool [lemma, in Sub]
STLCSub.S_Arrow [constructor, in Sub]
STLCSub.S_Top [constructor, in Sub]
STLCSub.S_Trans [constructor, in Sub]
STLCSub.S_Refl [constructor, in Sub]
STLCSub.tm [inductive, in Sub]
STLCSub.tm_snd [constructor, in Sub]
STLCSub.tm_fst [constructor, in Sub]
STLCSub.tm_pair [constructor, in Sub]
STLCSub.tm_unit [constructor, in Sub]
STLCSub.tm_if [constructor, in Sub]
STLCSub.tm_false [constructor, in Sub]
STLCSub.tm_true [constructor, in Sub]
STLCSub.tm_abs [constructor, in Sub]
STLCSub.tm_app [constructor, in Sub]
STLCSub.tm_var [constructor, in Sub]
STLCSub.ty [inductive, in Sub]
STLCSub.typing_inversion_unit [lemma, in Sub]
STLCSub.typing_inversion_app [lemma, in Sub]
STLCSub.typing_inversion_var [lemma, in Sub]
STLCSub.typing_inversion_abs [lemma, in Sub]
STLCSub.Ty_Prod [constructor, in Sub]
STLCSub.Ty_Unit [constructor, in Sub]
STLCSub.Ty_Arrow [constructor, in Sub]
STLCSub.Ty_Base [constructor, in Sub]
STLCSub.Ty_Bool [constructor, in Sub]
STLCSub.Ty_Top [constructor, in Sub]
STLCSub.T_Sub [constructor, in Sub]
STLCSub.T_Unit [constructor, in Sub]
STLCSub.T_If [constructor, in Sub]
STLCSub.T_False [constructor, in Sub]
STLCSub.T_True [constructor, in Sub]
STLCSub.T_App [constructor, in Sub]
STLCSub.T_Abs [constructor, in Sub]
STLCSub.T_Var [constructor, in Sub]
STLCSub.value [inductive, in Sub]
STLCSub.v_unit [constructor, in Sub]
STLCSub.v_false [constructor, in Sub]
STLCSub.v_true [constructor, in Sub]
STLCSub.v_abs [constructor, in Sub]
STLCSub.weakening [lemma, in Sub]
STLCSub.weakening_empty [lemma, in Sub]
stlc:_ [notation, in Sub]
stlc:_ .snd [notation, in Sub]
stlc:_ .fst [notation, in Sub]
stlc:_ * _ [notation, in Sub]
stlc:_ _ [notation, in Sub]
stlc:_ -> _ [notation, in Sub]
stlc:Base _ [notation, in Sub]
stlc:Bool [notation, in Sub]
stlc:false [notation, in Sub]
stlc:if _ then _ else _ [notation, in Sub]
stlc:Top [notation, in Sub]
stlc:true [notation, in Sub]
stlc:unit [notation, in Sub]
stlc:Unit [notation, in Sub]
stlc:( _ , _ ) [notation, in Sub]
stlc:( _ ) [notation, in Sub]
stlc:[ _ := _ ] _ [notation, in Sub]
stlc:\ _ : _ , _ [notation, in Sub]
stlc:{ _ } [notation, in Sub]
_ ⊢ _ ∈ _ [notation, in Sub]
_ <: _ [notation, in Sub]
_ --> _ [notation, in Sub]
false [notation, in Sub]
true [notation, in Sub]
<{ _ }> [notation, in Sub]
STLCTypes [module, in Typechecking]
STLCTypes.eqb_ty__eq [lemma, in Typechecking]
STLCTypes.eqb_ty_refl [lemma, in Typechecking]
STLCTypes.eqb_ty [definition, in Typechecking]
STLC.context [definition, in Stlc]
STLC.has_type [inductive, in Stlc]
STLC.idB [abbreviation, in Stlc]
STLC.idBB [abbreviation, in Stlc]
STLC.idBBBB [abbreviation, in Stlc]
STLC.k [abbreviation, in Stlc]
STLC.multistep [abbreviation, in Stlc]
STLC.notB [abbreviation, in Stlc]
STLC.step [inductive, in Stlc]
STLC.step_example5_with_normalize [lemma, in Stlc]
STLC.step_example5 [lemma, in Stlc]
STLC.step_example4' [lemma, in Stlc]
STLC.step_example3' [lemma, in Stlc]
STLC.step_example2' [lemma, in Stlc]
STLC.step_example1' [lemma, in Stlc]
STLC.step_example4 [lemma, in Stlc]
STLC.step_example3 [lemma, in Stlc]
STLC.step_example2 [lemma, in Stlc]
STLC.step_example1 [lemma, in Stlc]
STLC.ST_If [constructor, in Stlc]
STLC.ST_IfFalse [constructor, in Stlc]
STLC.ST_IfTrue [constructor, in Stlc]
STLC.ST_App2 [constructor, in Stlc]
STLC.ST_App1 [constructor, in Stlc]
STLC.ST_AppAbs [constructor, in Stlc]
STLC.subst [definition, in Stlc]
STLC.substi [inductive, in Stlc]
STLC.substi_correct [lemma, in Stlc]
STLC.s_var1 [constructor, in Stlc]
STLC.tm [inductive, in Stlc]
STLC.tm_if [constructor, in Stlc]
STLC.tm_false [constructor, in Stlc]
STLC.tm_true [constructor, in Stlc]
STLC.tm_abs [constructor, in Stlc]
STLC.tm_app [constructor, in Stlc]
STLC.tm_var [constructor, in Stlc]
STLC.ty [inductive, in Stlc]
STLC.typing_nonexample_3 [definition, in Stlc]
STLC.typing_nonexample_1 [definition, in Stlc]
STLC.typing_example_3 [definition, in Stlc]
STLC.typing_example_2_full [definition, in Stlc]
STLC.typing_example_2 [definition, in Stlc]
STLC.typing_example_1' [definition, in Stlc]
STLC.typing_example_1 [definition, in Stlc]
STLC.Ty_Arrow [constructor, in Stlc]
STLC.Ty_Bool [constructor, in Stlc]
STLC.T_If [constructor, in Stlc]
STLC.T_False [constructor, in Stlc]
STLC.T_True [constructor, in Stlc]
STLC.T_App [constructor, in Stlc]
STLC.T_Abs [constructor, in Stlc]
STLC.T_Var [constructor, in Stlc]
STLC.value [inductive, in Stlc]
STLC.v_false [constructor, in Stlc]
STLC.v_true [constructor, in Stlc]
STLC.v_abs [constructor, in Stlc]
STLC.x [definition, in Stlc]
STLC.y [definition, in Stlc]
STLC.z [definition, in Stlc]
stlc:_ [notation, in Stlc]
stlc:_ _ [notation, in Stlc]
stlc:_ -> _ [notation, in Stlc]
stlc:Bool [notation, in Stlc]
stlc:false [notation, in Stlc]
stlc:if _ then _ else _ [notation, in Stlc]
stlc:true [notation, in Stlc]
stlc:( _ ) [notation, in Stlc]
stlc:[ _ := _ ] _ [notation, in Stlc]
stlc:\ _ : _ , _ [notation, in Stlc]
_ ⊢ _ ∈ _ [notation, in Stlc]
_ -->* _ [notation, in Stlc]
_ --> _ [notation, in Stlc]
false [notation, in Stlc]
true [notation, in Stlc]
<{ _ }> [notation, in Stlc]
strong_progress [lemma, in Smallstep]
ST_Plus2 [constructor, in Smallstep]
ST_Plus1 [constructor, in Smallstep]
ST_PlusConstConst [constructor, in Smallstep]
ST_SndPair [constructor, in Norm]
ST_Snd1 [constructor, in Norm]
ST_FstPair [constructor, in Norm]
ST_Fst1 [constructor, in Norm]
ST_Pair2 [constructor, in Norm]
ST_Pair1 [constructor, in Norm]
ST_If [constructor, in Norm]
ST_IfFalse [constructor, in Norm]
ST_IfTrue [constructor, in Norm]
ST_App2 [constructor, in Norm]
ST_App1 [constructor, in Norm]
ST_AppAbs [constructor, in Norm]
st'o:461 [binder, in PE]
st'o:472 [binder, in PE]
st'':132 [binder, in Hoare]
st'':148 [binder, in Hoare]
st'':150 [binder, in Equiv]
st'':166 [binder, in Equiv]
st'':179 [binder, in PE]
st'':180 [binder, in Hoare]
st'':188 [binder, in PE]
st'':194 [binder, in PE]
st'':196 [binder, in Hoare]
st'':200 [binder, in PE]
st'':217 [binder, in Hoare]
st'':233 [binder, in Hoare]
st'':331 [binder, in PE]
st'':351 [binder, in PE]
st'':374 [binder, in PE]
st'':384 [binder, in PE]
st'':393 [binder, in PE]
st'':401 [binder, in PE]
st'':408 [binder, in PE]
st'':434 [binder, in PE]
st':10 [binder, in Equiv]
st':102 [binder, in References]
st':108 [binder, in References]
st':115 [binder, in UseAuto]
ST':116 [binder, in UseAuto]
st':116 [binder, in References]
st':121 [binder, in References]
st':130 [binder, in UseAuto]
ST':131 [binder, in UseAuto]
st':131 [binder, in Hoare]
st':134 [binder, in Hoare]
st':137 [binder, in UseAuto]
st':139 [binder, in Hoare]
st':14 [binder, in Equiv]
st':147 [binder, in Hoare]
st':149 [binder, in Equiv]
st':152 [binder, in Equiv]
st':155 [binder, in Hoare]
st':157 [binder, in Equiv]
st':165 [binder, in Equiv]
st':172 [binder, in Equiv]
st':173 [binder, in References]
st':174 [binder, in Equiv]
st':176 [binder, in Equiv]
st':179 [binder, in Hoare]
st':182 [binder, in Hoare]
st':182 [binder, in PE]
st':184 [binder, in Equiv]
st':185 [binder, in References]
st':187 [binder, in Hoare]
ST':188 [binder, in References]
ST':190 [binder, in References]
ST':194 [binder, in References]
st':195 [binder, in Hoare]
ST':197 [binder, in References]
st':203 [binder, in Hoare]
st':206 [binder, in References]
ST':207 [binder, in References]
st':216 [binder, in Hoare]
st':219 [binder, in Hoare]
st':224 [binder, in Hoare]
ST':230 [binder, in References]
st':232 [binder, in Hoare]
st':243 [binder, in Hoare]
st':246 [binder, in References]
ST':247 [binder, in References]
st':253 [binder, in References]
st':257 [binder, in Smallstep]
st':271 [binder, in Hoare]
st':289 [binder, in Smallstep]
st':290 [binder, in Hoare]
st':308 [binder, in Hoare]
st':311 [binder, in Smallstep]
st':316 [binder, in Smallstep]
st':318 [binder, in Smallstep]
st':319 [binder, in Smallstep]
st':324 [binder, in Smallstep]
st':326 [binder, in Smallstep]
st':326 [binder, in Hoare]
st':327 [binder, in Hoare]
st':33 [binder, in Equiv]
st':330 [binder, in PE]
st':335 [binder, in PE]
st':341 [binder, in PE]
st':350 [binder, in PE]
st':358 [binder, in PE]
st':362 [binder, in PE]
st':378 [binder, in PE]
st':39 [binder, in Hoare]
st':409 [binder, in PE]
st':432 [binder, in PE]
st':449 [binder, in PE]
st':465 [binder, in PE]
st':5 [binder, in HoareAsLogic]
st':53 [binder, in References]
st':58 [binder, in References]
st':64 [binder, in References]
st':70 [binder, in References]
st':74 [binder, in Equiv]
st':78 [binder, in References]
st':80 [binder, in Equiv]
st':83 [binder, in References]
st':89 [binder, in References]
st₁:121 [binder, in PE]
st₁:13 [binder, in UseTactics]
ST₁:178 [binder, in References]
st₁:24 [binder, in UseTactics]
st₁:28 [binder, in UseTactics]
st₁:3 [binder, in UseTactics]
st₁:68 [binder, in UseAuto]
st₁:72 [binder, in UseAuto]
st₁:76 [binder, in UseAuto]
st₁:80 [binder, in UseAuto]
st₁:84 [binder, in UseAuto]
st₁:88 [binder, in UseTactics]
st₁:92 [binder, in UseTactics]
st₂:122 [binder, in PE]
st₂:14 [binder, in UseTactics]
ST₂:179 [binder, in References]
st₂:25 [binder, in UseTactics]
st₂:29 [binder, in UseTactics]
st₂:4 [binder, in UseTactics]
st₂:69 [binder, in UseAuto]
st₂:73 [binder, in UseAuto]
st₂:77 [binder, in UseAuto]
st₂:81 [binder, in UseAuto]
st₂:85 [binder, in UseAuto]
st₂:89 [binder, in UseTactics]
st₂:93 [binder, in UseTactics]
st:1 [binder, in Hoare]
st:101 [binder, in References]
st:103 [binder, in References]
st:107 [binder, in References]
st:107 [binder, in PE]
st:11 [binder, in Hoare]
ST:110 [binder, in UseAuto]
st:111 [binder, in Hoare]
st:111 [binder, in References]
st:113 [binder, in Hoare]
st:114 [binder, in UseAuto]
st:114 [binder, in PE]
st:115 [binder, in References]
st:118 [binder, in PE]
st:12 [binder, in Hoare]
st:12 [binder, in UseTactics]
st:120 [binder, in References]
st:120 [binder, in PE]
st:122 [binder, in UseAuto]
ST:123 [binder, in UseAuto]
st:123 [binder, in Hoare]
st:124 [binder, in Hoare]
ST:124 [binder, in References]
ST:125 [binder, in UseAuto]
ST:125 [binder, in References]
st:126 [binder, in PE]
st:129 [binder, in UseAuto]
st:13 [binder, in Hoare]
st:13 [binder, in Equiv]
st:130 [binder, in Hoare]
ST:132 [binder, in UseAuto]
st:133 [binder, in Hoare]
st:134 [binder, in Equiv]
st:135 [binder, in UseAuto]
st:138 [binder, in Hoare]
st:14 [binder, in Hoare]
st:141 [binder, in Equiv]
st:142 [binder, in Equiv]
st:144 [binder, in Hoare]
st:146 [binder, in Hoare]
st:148 [binder, in Equiv]
st:15 [binder, in Hoare]
st:151 [binder, in Equiv]
st:154 [binder, in Hoare]
st:156 [binder, in Equiv]
st:16 [binder, in Hoare]
st:162 [binder, in Equiv]
st:164 [binder, in Equiv]
st:167 [binder, in PE]
ST:168 [binder, in References]
st:169 [binder, in PE]
st:17 [binder, in Hoare]
st:171 [binder, in Hoare]
st:171 [binder, in References]
st:171 [binder, in Equiv]
st:171 [binder, in PE]
st:172 [binder, in Hoare]
st:173 [binder, in Equiv]
st:173 [binder, in PE]
ST:174 [binder, in References]
st:175 [binder, in References]
st:175 [binder, in Equiv]
st:175 [binder, in PE]
st:177 [binder, in References]
st:178 [binder, in Hoare]
st:178 [binder, in PE]
st:18 [binder, in Hoare]
ST:180 [binder, in References]
st:181 [binder, in Hoare]
st:183 [binder, in References]
st:183 [binder, in Equiv]
st:186 [binder, in Hoare]
st:187 [binder, in PE]
st:19 [binder, in Hoare]
st:190 [binder, in Smallstep]
ST:191 [binder, in References]
st:192 [binder, in Hoare]
ST:193 [binder, in References]
st:193 [binder, in PE]
st:194 [binder, in Hoare]
ST:196 [binder, in References]
ST:198 [binder, in References]
st:199 [binder, in PE]
st:2 [binder, in Hoare]
st:2 [binder, in UseTactics]
st:20 [binder, in Hoare]
st:20 [binder, in References]
ST:200 [binder, in References]
ST:201 [binder, in References]
st:202 [binder, in Hoare]
st:205 [binder, in References]
st:208 [binder, in Hoare]
st:209 [binder, in Hoare]
st:21 [binder, in Hoare]
ST:210 [binder, in References]
ST:214 [binder, in References]
st:215 [binder, in Hoare]
st:218 [binder, in Smallstep]
st:218 [binder, in Hoare]
ST:218 [binder, in References]
st:22 [binder, in Hoare]
st:22 [binder, in HoareAsLogic]
st:223 [binder, in Hoare]
ST:224 [binder, in References]
st:225 [binder, in References]
st:229 [binder, in Hoare]
ST:229 [binder, in References]
st:23 [binder, in Hoare]
st:23 [binder, in UseTactics]
st:23 [binder, in HoareAsLogic]
st:231 [binder, in Hoare]
ST:233 [binder, in References]
st:234 [binder, in References]
st:236 [binder, in Hoare]
st:24 [binder, in Hoare]
st:24 [binder, in PE]
ST:241 [binder, in References]
st:242 [binder, in Hoare]
st:245 [binder, in References]
st:247 [binder, in Smallstep]
ST:248 [binder, in References]
st:25 [binder, in Hoare]
st:250 [binder, in Hoare]
st:251 [binder, in Smallstep]
st:251 [binder, in References]
st:254 [binder, in Smallstep]
st:255 [binder, in Hoare]
st:259 [binder, in Smallstep]
st:261 [binder, in Smallstep]
st:263 [binder, in Hoare]
st:264 [binder, in Hoare]
st:266 [binder, in Smallstep]
st:269 [binder, in Smallstep]
st:27 [binder, in UseTactics]
st:27 [binder, in HoareAsLogic]
st:270 [binder, in Hoare]
st:272 [binder, in Smallstep]
st:275 [binder, in Hoare]
st:276 [binder, in Hoare]
st:279 [binder, in Smallstep]
st:28 [binder, in PE]
st:28 [binder, in HoareAsLogic]
st:281 [binder, in Hoare]
st:281 [binder, in PE]
st:283 [binder, in Smallstep]
st:283 [binder, in PE]
st:285 [binder, in PE]
st:286 [binder, in Smallstep]
st:287 [binder, in Hoare]
st:287 [binder, in PE]
st:289 [binder, in Hoare]
st:289 [binder, in PE]
st:29 [binder, in Hoare]
st:291 [binder, in Smallstep]
st:291 [binder, in PE]
st:293 [binder, in Smallstep]
st:293 [binder, in PE]
st:294 [binder, in Hoare]
st:295 [binder, in PE]
st:297 [binder, in Hoare]
st:297 [binder, in PE]
st:298 [binder, in Smallstep]
st:299 [binder, in Hoare]
st:299 [binder, in PE]
st:3 [binder, in Hoare]
st:3 [binder, in Equiv]
st:301 [binder, in Smallstep]
st:301 [binder, in Hoare]
st:301 [binder, in PE]
st:303 [binder, in PE]
st:304 [binder, in Smallstep]
st:305 [binder, in PE]
st:306 [binder, in Hoare]
st:307 [binder, in Smallstep]
st:307 [binder, in PE]
st:309 [binder, in PE]
st:31 [binder, in PE]
st:311 [binder, in PE]
st:312 [binder, in Smallstep]
st:313 [binder, in PE]
st:315 [binder, in PE]
st:317 [binder, in Smallstep]
st:317 [binder, in PE]
st:319 [binder, in PE]
st:32 [binder, in Equiv]
st:321 [binder, in Smallstep]
st:322 [binder, in PE]
st:323 [binder, in Smallstep]
st:323 [binder, in PE]
st:327 [binder, in Smallstep]
st:329 [binder, in PE]
st:334 [binder, in PE]
st:34 [binder, in Hoare]
st:34 [binder, in HoareAsLogic]
st:340 [binder, in PE]
st:347 [binder, in PE]
st:348 [binder, in Smallstep]
st:349 [binder, in Smallstep]
st:349 [binder, in PE]
st:35 [binder, in HoareAsLogic]
st:357 [binder, in PE]
st:361 [binder, in PE]
st:369 [binder, in PE]
st:37 [binder, in References]
st:37 [binder, in PE]
st:373 [binder, in PE]
st:38 [binder, in Hoare]
st:383 [binder, in PE]
st:392 [binder, in PE]
st:4 [binder, in Hoare]
st:4 [binder, in HoareAsLogic]
st:40 [binder, in PE]
st:40 [binder, in HoareAsLogic]
st:400 [binder, in PE]
st:407 [binder, in PE]
st:41 [binder, in References]
st:416 [binder, in PE]
st:42 [binder, in PE]
st:427 [binder, in PE]
st:429 [binder, in PE]
st:43 [binder, in Hoare]
st:436 [binder, in PE]
st:437 [binder, in PE]
st:438 [binder, in PE]
st:439 [binder, in PE]
st:446 [binder, in PE]
st:45 [binder, in HoareAsLogic]
st:458 [binder, in PE]
st:46 [binder, in HoareAsLogic]
st:469 [binder, in PE]
st:47 [binder, in Hoare]
st:47 [binder, in PE]
st:47 [binder, in HoareAsLogic]
st:48 [binder, in References]
st:52 [binder, in References]
st:55 [binder, in PE]
st:57 [binder, in Hoare]
st:57 [binder, in References]
st:6 [binder, in Equiv]
st:60 [binder, in References]
st:63 [binder, in References]
st:66 [binder, in Hoare]
st:66 [binder, in References]
st:67 [binder, in UseAuto]
st:67 [binder, in Hoare]
st:68 [binder, in UseTactics]
st:69 [binder, in References]
st:7 [binder, in Hoare]
st:70 [binder, in Hoare]
st:70 [binder, in PE]
st:71 [binder, in UseAuto]
st:71 [binder, in Hoare]
st:73 [binder, in References]
st:73 [binder, in Equiv]
st:74 [binder, in PE]
st:75 [binder, in UseAuto]
st:77 [binder, in References]
st:79 [binder, in UseAuto]
st:79 [binder, in Equiv]
st:82 [binder, in References]
st:83 [binder, in UseAuto]
st:87 [binder, in UseTactics]
st:88 [binder, in References]
st:9 [binder, in Equiv]
st:91 [binder, in UseTactics]
st:92 [binder, in References]
st:96 [binder, in References]
st:98 [binder, in References]
Sub [library]
subst [definition, in Norm]
substitution_preserves_typing [lemma, in Norm]
subst_inequiv [lemma, in Equiv]
subst_equiv_property [definition, in Equiv]
subst_aexp_ex [definition, in Equiv]
subst_aexp [definition, in Equiv]
subst_msubst [lemma, in Norm]
subst_not_afi [lemma, in Norm]
subst_closed [lemma, in Norm]
subtract_slowly_outer_triple_valid [lemma, in Hoare2]
subtract_slowly_dec [definition, in Hoare2]
subtype [axiom, in UseAuto]
subtype_trans [axiom, in UseAuto]
subtype_refl [axiom, in UseAuto]
SubtypingInversion [module, in UseAuto]
SubtypingInversion.abs_arrow' [lemma, in UseAuto]
SubtypingInversion.abs_arrow [lemma, in UseAuto]
swap_exercise [lemma, in Hoare]
swap_program [definition, in Hoare]
swap_correct [lemma, in Hoare2]
swap_dec [definition, in Hoare2]
swap_noninterfering_assignments [lemma, in Equiv]
swap_if_branches [lemma, in Equiv]
swap_subst [lemma, in Norm]
sym_cequiv [lemma, in Equiv]
sym_bequiv [lemma, in Equiv]
sym_aequiv [lemma, in Equiv]
s':58 [binder, in HoareAsLogic]
S₁:113 [binder, in Sub]
S₁:139 [binder, in UseAuto]
S₁:144 [binder, in UseAuto]
S₁:155 [binder, in RecordSub]
S₁:162 [binder, in RecordSub]
S₁:167 [binder, in RecordSub]
S₁:174 [binder, in Sub]
S₁:178 [binder, in Sub]
S₁:182 [binder, in Sub]
S₁:186 [binder, in Sub]
S₁:42 [binder, in Sub]
S₁:77 [binder, in RecordSub]
S₁:85 [binder, in RecordSub]
S₁:88 [binder, in Sub]
S₁:97 [binder, in Sub]
S₂:100 [binder, in Sub]
s₂:114 [binder, in Sub]
s₂:140 [binder, in UseAuto]
s₂:145 [binder, in UseAuto]
s₂:156 [binder, in RecordSub]
S₂:165 [binder, in RecordSub]
s₂:168 [binder, in RecordSub]
S₂:175 [binder, in Sub]
S₂:179 [binder, in Sub]
S₂:183 [binder, in Sub]
S₂:187 [binder, in Sub]
S₂:43 [binder, in Sub]
S₂:78 [binder, in RecordSub]
s₂:89 [binder, in Sub]
S:104 [binder, in Sub]
s:11 [binder, in Stlc]
s:13 [binder, in References]
S:131 [binder, in RecordSub]
S:134 [binder, in Sub]
S:138 [binder, in Sub]
S:142 [binder, in Sub]
S:143 [binder, in Norm]
S:146 [binder, in Sub]
s:15 [binder, in Stlc]
S:150 [binder, in Sub]
s:151 [binder, in RecordSub]
S:154 [binder, in Sub]
S:158 [binder, in Sub]
s:161 [binder, in Norm]
S:162 [binder, in Sub]
S:164 [binder, in Sub]
S:166 [binder, in Sub]
S:167 [binder, in Sub]
S:169 [binder, in Sub]
S:171 [binder, in UseAuto]
S:171 [binder, in Sub]
S:175 [binder, in UseAuto]
S:181 [binder, in UseAuto]
s:19 [binder, in Stlc]
S:198 [binder, in Sub]
S:219 [binder, in Sub]
S:224 [binder, in Sub]
s:24 [binder, in RecordSub]
S:269 [binder, in Norm]
s:27 [binder, in Records]
S:38 [binder, in Sub]
S:41 [binder, in Sub]
s:57 [binder, in HoareAsLogic]
s:6 [binder, in MoreStlc]
s:6 [binder, in Norm]
s:6 [binder, in Sub]
S:67 [binder, in Stlc]
S:73 [binder, in RecordSub]
S:76 [binder, in RecordSub]
s:81 [binder, in Sub]
s:84 [binder, in StlcProp]
s:84 [binder, in Sub]
s:91 [binder, in Sub]
S:94 [binder, in RecordSub]
S:97 [binder, in UseTactics]
S:99 [binder, in RecordSub]

T

T [definition, in Hoare2]
tass [definition, in Norm]
Temp1 [module, in Smallstep]
Temp1.step [inductive, in Smallstep]
Temp1.ST_Plus2 [constructor, in Smallstep]
Temp1.ST_Plus1 [constructor, in Smallstep]
Temp1.ST_PlusConstConst [constructor, in Smallstep]
Temp1.value [inductive, in Smallstep]
Temp1.value_not_same_as_normal_form [lemma, in Smallstep]
Temp1.v_funny [constructor, in Smallstep]
Temp1.v_const [constructor, in Smallstep]
_ --> _ [notation, in Smallstep]
Temp2 [module, in Smallstep]
Temp2.step [inductive, in Smallstep]
Temp2.ST_Plus2 [constructor, in Smallstep]
Temp2.ST_Plus1 [constructor, in Smallstep]
Temp2.ST_PlusConstConst [constructor, in Smallstep]
Temp2.ST_Funny [constructor, in Smallstep]
Temp2.value [inductive, in Smallstep]
Temp2.value_not_same_as_normal_form [lemma, in Smallstep]
Temp2.v_const [constructor, in Smallstep]
_ --> _ [notation, in Smallstep]
Temp3 [module, in Smallstep]
Temp3.step [inductive, in Smallstep]
Temp3.ST_Plus1 [constructor, in Smallstep]
Temp3.ST_PlusConstConst [constructor, in Smallstep]
Temp3.value [inductive, in Smallstep]
Temp3.value_not_same_as_normal_form [lemma, in Smallstep]
Temp3.v_const [constructor, in Smallstep]
_ --> _ [notation, in Smallstep]
Temp4 [module, in Smallstep]
Temp4.bool_step_prop3 [definition, in Smallstep]
Temp4.bool_step_prop2 [definition, in Smallstep]
Temp4.bool_step_prop1 [definition, in Smallstep]
Temp4.fls [constructor, in Smallstep]
Temp4.manual_grade_for_smallstep_bools [definition, in Smallstep]
Temp4.step [inductive, in Smallstep]
Temp4.step_deterministic [lemma, in Smallstep]
Temp4.strong_progress_bool [lemma, in Smallstep]
Temp4.ST_If [constructor, in Smallstep]
Temp4.ST_IfFalse [constructor, in Smallstep]
Temp4.ST_IfTrue [constructor, in Smallstep]
Temp4.Temp5 [module, in Smallstep]
Temp4.Temp5.bool_step_prop4_holds [definition, in Smallstep]
Temp4.Temp5.bool_step_prop4 [definition, in Smallstep]
Temp4.Temp5.manual_grade_for_properties_of_altered_step [definition, in Smallstep]
Temp4.Temp5.step [inductive, in Smallstep]
Temp4.Temp5.ST_If [constructor, in Smallstep]
Temp4.Temp5.ST_IfFalse [constructor, in Smallstep]
Temp4.Temp5.ST_IfTrue [constructor, in Smallstep]
_ --> _ [notation, in Smallstep]
Temp4.test [constructor, in Smallstep]
Temp4.tm [inductive, in Smallstep]
Temp4.tru [constructor, in Smallstep]
Temp4.value [inductive, in Smallstep]
Temp4.v_fls [constructor, in Smallstep]
Temp4.v_tru [constructor, in Smallstep]
_ --> _ [notation, in Smallstep]
test_multistep_4 [lemma, in Smallstep]
test_multistep_3 [lemma, in Smallstep]
test_multistep_2 [lemma, in Smallstep]
test_multistep_1' [lemma, in Smallstep]
test_multistep_1 [lemma, in Smallstep]
test_optimize_0plus [definition, in Equiv]
test_pe_bexp2 [definition, in PE]
test_pe_bexp1 [definition, in PE]
test_pe_update [definition, in PE]
test_pe_aexp1 [definition, in PE]
text_pe_aexp2 [definition, in PE]
Tguard:21 [binder, in Typechecking]
Tguard:55 [binder, in Typechecking]
Ti:100 [binder, in Records]
Ti:102 [binder, in RecordSub]
Ti:109 [binder, in Records]
ti:110 [binder, in Records]
Ti:128 [binder, in RecordSub]
Ti:148 [binder, in RecordSub]
Ti:88 [binder, in Records]
Ti:98 [binder, in RecordSub]
TL:201 [binder, in Sub]
TL:205 [binder, in Sub]
TL:209 [binder, in Sub]
TL:213 [binder, in Sub]
tm [inductive, in Smallstep]
TM [module, in Types]
tm [inductive, in Norm]
tm_snd [constructor, in Norm]
tm_fst [constructor, in Norm]
tm_pair [constructor, in Norm]
tm_if [constructor, in Norm]
tm_false [constructor, in Norm]
tm_true [constructor, in Norm]
tm_abs [constructor, in Norm]
tm_app [constructor, in Norm]
tm_var [constructor, in Norm]
TM.Bool [constructor, in Types]
TM.bool_canonical [lemma, in Types]
TM.bvalue [inductive, in Types]
TM.bv_false [constructor, in Types]
TM.bv_True [constructor, in Types]
TM.fls [constructor, in Types]
TM.has_type_not [definition, in Types]
TM.has_type_1 [definition, in Types]
TM.has_type [inductive, in Types]
TM.iszro [constructor, in Types]
TM.ite [constructor, in Types]
TM.manual_grade_for_prog_pres_bigstep [definition, in Types]
TM.manual_grade_for_remove_pred0 [definition, in Types]
TM.manual_grade_for_variation2 [definition, in Types]
TM.manual_grade_for_variation1 [definition, in Types]
TM.manual_grade_for_finish_preservation_informal [definition, in Types]
TM.manual_grade_for_finish_progress_informal [definition, in Types]
TM.multistep [definition, in Types]
TM.Nat [constructor, in Types]
TM.nat_canonical [lemma, in Types]
TM.nvalue [inductive, in Types]
TM.nv_succ [constructor, in Types]
TM.nv_0 [constructor, in Types]
TM.prd [constructor, in Types]
TM.preservation [lemma, in Types]
TM.preservation' [lemma, in Types]
TM.progress [lemma, in Types]
TM.scc [constructor, in Types]
TM.some_term_is_stuck [definition, in Types]
TM.soundness [lemma, in Types]
TM.step [inductive, in Types]
TM.step_deterministic [lemma, in Types]
TM.step_normal_form [abbreviation, in Types]
TM.stuck [definition, in Types]
TM.ST_Iszero [constructor, in Types]
TM.ST_IszeroSucc [constructor, in Types]
TM.ST_Iszero0 [constructor, in Types]
TM.ST_Pred [constructor, in Types]
TM.ST_PredSucc [constructor, in Types]
TM.ST_Pred0 [constructor, in Types]
TM.ST_Succ [constructor, in Types]
TM.ST_If [constructor, in Types]
TM.ST_IfFalse [constructor, in Types]
TM.ST_IfTrue [constructor, in Types]
TM.subject_expansion [lemma, in Types]
TM.succ_hastype_nat__hastype_nat [definition, in Types]
TM.tm [inductive, in Types]
TM.tru [constructor, in Types]
TM.ty [inductive, in Types]
TM.T_Iszero [constructor, in Types]
TM.T_Pred [constructor, in Types]
TM.T_Succ [constructor, in Types]
TM.T_0 [constructor, in Types]
TM.T_If [constructor, in Types]
TM.T_False [constructor, in Types]
TM.T_True [constructor, in Types]
TM.value [definition, in Types]
TM.value_is_nf [lemma, in Types]
TM.zro [constructor, in Types]
tm:if _ then _ else _ (tm_scope) [notation, in Types]
tm:iszero _ (tm_scope) [notation, in Types]
tm:pred _ (tm_scope) [notation, in Types]
tm:succ _ (tm_scope) [notation, in Types]
tm:0 (tm_scope) [notation, in Types]
tm:_ (tm_scope) [notation, in Types]
tm:( _ ) (tm_scope) [notation, in Types]
tm:false (tm_scope) [notation, in Types]
tm:true (tm_scope) [notation, in Types]
0 (tm_scope) [notation, in Types]
<{ _ }> (tm_scope) [notation, in Types]
false (tm_scope) [notation, in Types]
true (tm_scope) [notation, in Types]
_ -->* _ [notation, in Types]
_ --> _ [notation, in Types]
⊢ _ ∈ _ [notation, in Types]
transitivity_workaround_2 [lemma, in UseAuto]
transitivity_workaround_1 [lemma, in UseAuto]
transitivity_bad_hint_1 [lemma, in UseAuto]
trans_cequiv [lemma, in Equiv]
trans_bequiv [lemma, in Equiv]
trans_aequiv [lemma, in Equiv]
tr':102 [binder, in Records]
tr':144 [binder, in RecordSub]
tr₂':68 [binder, in Records]
tr₂':69 [binder, in RecordSub]
tr₂:64 [binder, in Records]
tr₂:65 [binder, in RecordSub]
tr₂:67 [binder, in Records]
tr₂:68 [binder, in RecordSub]
Tr₂:88 [binder, in RecordSub]
Tr₃:93 [binder, in RecordSub]
tr:101 [binder, in Records]
tr:138 [binder, in RecordSub]
Tr:139 [binder, in RecordSub]
tr:143 [binder, in RecordSub]
Tr:37 [binder, in RecordSub]
tr:40 [binder, in Records]
tr:41 [binder, in RecordSub]
tr:58 [binder, in Records]
tr:59 [binder, in RecordSub]
Tr:70 [binder, in Records]
Tr:89 [binder, in Records]
tr:93 [binder, in Records]
Tr:94 [binder, in Records]
TS:200 [binder, in Sub]
TS:203 [binder, in Sub]
TS:207 [binder, in Sub]
TS:211 [binder, in Sub]
TS:221 [binder, in Sub]
two_loops [lemma, in Hoare2]
two_loops_dec [definition, in Hoare2]
ty [inductive, in Norm]
typ [axiom, in UseAuto]
typable_empty__closed [lemma, in Norm]
TypecheckerExtensions [module, in Typechecking]
TypecheckerExtensions.eqb_ty__eq [lemma, in Typechecking]
TypecheckerExtensions.eqb_ty_refl [lemma, in Typechecking]
TypecheckerExtensions.eqb_ty [definition, in Typechecking]
TypecheckerExtensions.manual_grade_for_type_check_defn [definition, in Typechecking]
TypecheckerExtensions.type_checking_complete [lemma, in Typechecking]
TypecheckerExtensions.type_checking_sound [lemma, in Typechecking]
TypecheckerExtensions.type_check [definition, in Typechecking]
Typechecking [library]
Types [library]
Ty_Prod [constructor, in Norm]
Ty_Arrow [constructor, in Norm]
Ty_Bool [constructor, in Norm]
T_Snd [constructor, in Norm]
T_Fst [constructor, in Norm]
T_Pair [constructor, in Norm]
T_If [constructor, in Norm]
T_False [constructor, in Norm]
T_True [constructor, in Norm]
T_App [constructor, in Norm]
T_Abs [constructor, in Norm]
T_Var [constructor, in Norm]
t':101 [binder, in Norm]
t':103 [binder, in StlcProp]
t':110 [binder, in Smallstep]
t':112 [binder, in UseAuto]
t':113 [binder, in Records]
t':12 [binder, in StlcProp]
t':127 [binder, in UseAuto]
t':128 [binder, in Records]
t':131 [binder, in Sub]
t':136 [binder, in UseAuto]
t':139 [binder, in Smallstep]
t':143 [binder, in Smallstep]
T':151 [binder, in Norm]
t':153 [binder, in Smallstep]
t':155 [binder, in Norm]
t':156 [binder, in Smallstep]
t':159 [binder, in RecordSub]
t':167 [binder, in Norm]
t':170 [binder, in MoreStlc]
t':170 [binder, in Norm]
t':172 [binder, in References]
t':173 [binder, in Norm]
t':176 [binder, in Norm]
t':179 [binder, in Norm]
t':184 [binder, in Smallstep]
t':184 [binder, in References]
t':185 [binder, in RecordSub]
t':185 [binder, in MoreStlc]
t':186 [binder, in Smallstep]
t':203 [binder, in References]
t':207 [binder, in Norm]
t':210 [binder, in Norm]
t':214 [binder, in Norm]
t':22 [binder, in Stlc]
t':243 [binder, in References]
t':252 [binder, in References]
t':264 [binder, in Norm]
t':33 [binder, in StlcProp]
t':36 [binder, in StlcProp]
t':40 [binder, in StlcProp]
t':43 [binder, in Smallstep]
T':45 [binder, in StlcProp]
t':46 [binder, in Types]
t':47 [binder, in Smallstep]
t':48 [binder, in Types]
t':50 [binder, in Smallstep]
t':51 [binder, in Smallstep]
t':51 [binder, in Types]
t':54 [binder, in Types]
t':57 [binder, in Types]
t':60 [binder, in Types]
T':71 [binder, in StlcProp]
t':87 [binder, in UseAuto]
t':87 [binder, in Typechecking]
t':9 [binder, in StlcProp]
t':90 [binder, in UseAuto]
t':90 [binder, in Typechecking]
t':94 [binder, in UseAuto]
t':94 [binder, in Sub]
t':97 [binder, in UseAuto]
t':99 [binder, in StlcProp]
t₀':44 [binder, in Norm]
t₀':48 [binder, in Norm]
t₀':67 [binder, in MoreStlc]
t₀:117 [binder, in Norm]
t₀:121 [binder, in Norm]
t₀:125 [binder, in Norm]
T₀:135 [binder, in MoreStlc]
t₀:145 [binder, in MoreStlc]
T₀:154 [binder, in References]
t₀:43 [binder, in Norm]
t₀:47 [binder, in Norm]
T₀:59 [binder, in Typechecking]
t₀:66 [binder, in MoreStlc]
t₀:80 [binder, in Norm]
t₀:84 [binder, in Norm]
t₁':100 [binder, in References]
t₁':106 [binder, in Smallstep]
t₁':106 [binder, in References]
t₁':113 [binder, in References]
t₁':118 [binder, in Smallstep]
t₁':145 [binder, in Smallstep]
t₁':170 [binder, in Smallstep]
t₁':18 [binder, in Smallstep]
t₁':180 [binder, in Smallstep]
t₁':20 [binder, in Types]
t₁':22 [binder, in Sub]
t₁':23 [binder, in Types]
t₁':24 [binder, in Norm]
t₁':26 [binder, in Types]
t₁':30 [binder, in Stlc]
t₁':32 [binder, in MoreStlc]
t₁':32 [binder, in Sub]
t₁':34 [binder, in Norm]
t₁':37 [binder, in Smallstep]
t₁':38 [binder, in MoreStlc]
t₁':38 [binder, in Norm]
t₁':40 [binder, in Stlc]
t₁':41 [binder, in MoreStlc]
t₁':46 [binder, in MoreStlc]
t₁':50 [binder, in References]
t₁':50 [binder, in Records]
t₁':51 [binder, in RecordSub]
t₁':52 [binder, in MoreStlc]
t₁':56 [binder, in Records]
t₁':57 [binder, in RecordSub]
t₁':61 [binder, in MoreStlc]
t₁':62 [binder, in References]
t₁':63 [binder, in Smallstep]
t₁':63 [binder, in Records]
t₁':64 [binder, in RecordSub]
t₁':68 [binder, in References]
t₁':76 [binder, in References]
t₁':78 [binder, in Smallstep]
t₁':85 [binder, in References]
t₁':85 [binder, in MoreStlc]
t₁':91 [binder, in MoreStlc]
t₁':92 [binder, in Smallstep]
T₁₁:114 [binder, in Norm]
T₁₁:116 [binder, in RecordSub]
T₁₁:79 [binder, in Records]
t₁₂:115 [binder, in Norm]
T₁₂:117 [binder, in RecordSub]
t₁₂:118 [binder, in RecordSub]
T₁₂:80 [binder, in Records]
t₁₂:81 [binder, in Records]
T₁:1 [binder, in Typechecking]
t₁:101 [binder, in Smallstep]
t₁:103 [binder, in Smallstep]
t₁:105 [binder, in Smallstep]
t₁:105 [binder, in References]
t₁:106 [binder, in Sub]
t₁:107 [binder, in Norm]
T₁:109 [binder, in Sub]
t₁:11 [binder, in Types]
T₁:11 [binder, in Records]
t₁:110 [binder, in Norm]
T₁:111 [binder, in MoreStlc]
t₁:112 [binder, in References]
t₁:113 [binder, in Smallstep]
T₁:114 [binder, in MoreStlc]
t₁:115 [binder, in Smallstep]
T₁:115 [binder, in Sub]
t₁:116 [binder, in MoreStlc]
t₁:117 [binder, in Smallstep]
T₁:117 [binder, in MoreStlc]
t₁:118 [binder, in Norm]
T₁:119 [binder, in RecordSub]
t₁:120 [binder, in MoreStlc]
t₁:122 [binder, in RecordSub]
t₁:122 [binder, in Norm]
T₁:124 [binder, in UseAuto]
t₁:126 [binder, in Norm]
t₁:129 [binder, in MoreStlc]
t₁:129 [binder, in Norm]
t₁:13 [binder, in RecordSub]
t₁:13 [binder, in Types]
T₁:130 [binder, in References]
t₁:132 [binder, in MoreStlc]
t₁:132 [binder, in Norm]
T₁:133 [binder, in References]
t₁:135 [binder, in References]
T₁:136 [binder, in References]
t₁:137 [binder, in MoreStlc]
T₁:138 [binder, in MoreStlc]
t₁:139 [binder, in References]
t₁:14 [binder, in MoreStlc]
t₁:14 [binder, in Norm]
t₁:14 [binder, in Sub]
T₁:141 [binder, in UseAuto]
T₁:142 [binder, in MoreStlc]
t₁:144 [binder, in Smallstep]
t₁:144 [binder, in References]
T₁:146 [binder, in UseAuto]
t₁:146 [binder, in References]
T₁:147 [binder, in MoreStlc]
t₁:148 [binder, in References]
t₁:148 [binder, in MoreStlc]
t₁:151 [binder, in References]
T₁:152 [binder, in RecordSub]
T₁:154 [binder, in MoreStlc]
t₁:156 [binder, in MoreStlc]
T₁:158 [binder, in MoreStlc]
t₁:159 [binder, in References]
T₁:16 [binder, in Records]
T₁:160 [binder, in References]
t₁:160 [binder, in MoreStlc]
T₁:161 [binder, in MoreStlc]
t₁:162 [binder, in References]
T₁:163 [binder, in References]
t₁:165 [binder, in References]
t₁:169 [binder, in Smallstep]
T₁:169 [binder, in RecordSub]
t₁:17 [binder, in Smallstep]
t₁:17 [binder, in References]
T₁:17 [binder, in Typechecking]
T₁:17 [binder, in MoreStlc]
T₁:172 [binder, in Sub]
t₁:175 [binder, in Smallstep]
T₁:176 [binder, in Sub]
t₁:177 [binder, in Smallstep]
T₁:177 [binder, in UseAuto]
t₁:179 [binder, in Smallstep]
T₁:18 [binder, in Typechecking]
T₁:18 [binder, in RecordSub]
T₁:180 [binder, in Sub]
T₁:184 [binder, in Sub]
t₁:19 [binder, in Types]
T₁:19 [binder, in MoreStlc]
T₁:19 [binder, in Records]
t₁:19 [binder, in Sub]
T₁:20 [binder, in MoreStlc]
T₁:21 [binder, in RecordSub]
t₁:21 [binder, in Norm]
t₁:21 [binder, in Sub]
T₁:22 [binder, in Typechecking]
t₁:22 [binder, in Types]
t₁:23 [binder, in Norm]
t₁:235 [binder, in References]
T₁:236 [binder, in References]
t₁:239 [binder, in Norm]
t₁:24 [binder, in Records]
t₁:25 [binder, in Types]
t₁:27 [binder, in Stlc]
t₁:27 [binder, in Sub]
t₁:29 [binder, in Stlc]
t₁:29 [binder, in MoreStlc]
t₁:29 [binder, in Norm]
t₁:29 [binder, in Sub]
T₁:3 [binder, in StlcProp]
T₁:31 [binder, in Typechecking]
t₁:31 [binder, in MoreStlc]
t₁:31 [binder, in Norm]
t₁:31 [binder, in Sub]
t₁:32 [binder, in RecordSub]
t₁:33 [binder, in Norm]
t₁:34 [binder, in Types]
t₁:35 [binder, in Stlc]
t₁:35 [binder, in Records]
t₁:36 [binder, in Smallstep]
T₁:37 [binder, in Typechecking]
t₁:37 [binder, in Stlc]
t₁:37 [binder, in MoreStlc]
t₁:37 [binder, in Norm]
t₁:38 [binder, in Types]
t₁:39 [binder, in Stlc]
t₁:39 [binder, in Types]
t₁:40 [binder, in Types]
t₁:40 [binder, in MoreStlc]
T₁:44 [binder, in Typechecking]
T₁:44 [binder, in Sub]
t₁:45 [binder, in MoreStlc]
t₁:46 [binder, in References]
T₁:47 [binder, in Typechecking]
T₁:47 [binder, in Stlc]
t₁:47 [binder, in Records]
t₁:48 [binder, in RecordSub]
t₁:49 [binder, in References]
T₁:49 [binder, in Typechecking]
t₁:49 [binder, in StlcProp]
t₁:49 [binder, in Records]
t₁:50 [binder, in RecordSub]
T₁:50 [binder, in Stlc]
T₁:50 [binder, in Sub]
T₁:51 [binder, in Typechecking]
t₁:51 [binder, in StlcProp]
t₁:51 [binder, in MoreStlc]
t₁:52 [binder, in Stlc]
T₁:53 [binder, in Stlc]
T₁:53 [binder, in Sub]
T₁:54 [binder, in StlcProp]
t₁:55 [binder, in StlcProp]
t₁:55 [binder, in Records]
t₁:55 [binder, in Sub]
t₁:56 [binder, in Smallstep]
T₁:56 [binder, in Typechecking]
t₁:56 [binder, in StlcProp]
t₁:56 [binder, in RecordSub]
t₁:56 [binder, in Stlc]
T₁:56 [binder, in Norm]
T₁:56 [binder, in Sub]
t₁:59 [binder, in StlcProp]
T₁:59 [binder, in Norm]
t₁:59 [binder, in Sub]
t₁:60 [binder, in Stlc]
t₁:60 [binder, in MoreStlc]
t₁:61 [binder, in References]
T₁:61 [binder, in Typechecking]
t₁:61 [binder, in Norm]
t₁:62 [binder, in Smallstep]
t₁:62 [binder, in StlcProp]
T₁:62 [binder, in Norm]
t₁:62 [binder, in Records]
t₁:63 [binder, in RecordSub]
T₁:63 [binder, in Stlc]
t₁:63 [binder, in Sub]
T₁:65 [binder, in MoreStlc]
t₁:65 [binder, in Norm]
T₁:66 [binder, in Sub]
t₁:67 [binder, in References]
t₁:69 [binder, in MoreStlc]
t₁:69 [binder, in Norm]
T₁:7 [binder, in Typechecking]
t₁:70 [binder, in Sub]
T₁:71 [binder, in Sub]
T₁:72 [binder, in Norm]
t₁:74 [binder, in References]
t₁:74 [binder, in MoreStlc]
t₁:75 [binder, in Norm]
t₁:77 [binder, in Smallstep]
T₁:77 [binder, in Norm]
T₁:79 [binder, in RecordSub]
T₁:8 [binder, in RecordSub]
t₁:80 [binder, in MoreStlc]
T₁:81 [binder, in Norm]
T₁:82 [binder, in RecordSub]
T₁:82 [binder, in Records]
T₁:83 [binder, in MoreStlc]
t₁:84 [binder, in References]
t₁:84 [binder, in MoreStlc]
t₁:84 [binder, in Records]
T₁:85 [binder, in Norm]
T₁:85 [binder, in Sub]
T₁:86 [binder, in RecordSub]
t₁:9 [binder, in Smallstep]
t₁:9 [binder, in References]
t₁:9 [binder, in Stlc]
t₁:90 [binder, in MoreStlc]
t₁:91 [binder, in Smallstep]
T₁:91 [binder, in RecordSub]
T₁:96 [binder, in MoreStlc]
t₁:99 [binder, in References]
t₂':119 [binder, in References]
t₂':149 [binder, in Smallstep]
t₂':174 [binder, in Smallstep]
t₂':22 [binder, in Smallstep]
t₂':26 [binder, in Sub]
t₂':28 [binder, in Norm]
t₂':34 [binder, in Stlc]
t₂':36 [binder, in MoreStlc]
t₂':41 [binder, in Smallstep]
t₂':42 [binder, in Norm]
t₂':50 [binder, in MoreStlc]
t₂':54 [binder, in Records]
t₂':55 [binder, in RecordSub]
t₂':56 [binder, in References]
t₂':64 [binder, in MoreStlc]
t₂':67 [binder, in Smallstep]
t₂':81 [binder, in References]
t₂':82 [binder, in Smallstep]
t₂':89 [binder, in MoreStlc]
t₂:10 [binder, in Smallstep]
t₂:102 [binder, in Smallstep]
t₂:103 [binder, in MoreStlc]
t₂:104 [binder, in Smallstep]
t₂:107 [binder, in Smallstep]
t₂:107 [binder, in Sub]
t₂:108 [binder, in Norm]
T₂:108 [binder, in Sub]
t₂:111 [binder, in Norm]
t₂:114 [binder, in Smallstep]
t₂:114 [binder, in References]
T₂:115 [binder, in MoreStlc]
t₂:116 [binder, in Smallstep]
T₂:116 [binder, in Sub]
t₂:118 [binder, in References]
T₂:118 [binder, in MoreStlc]
t₂:119 [binder, in Smallstep]
t₂:119 [binder, in Norm]
t₂:12 [binder, in Types]
T₂:12 [binder, in Records]
T₂:120 [binder, in RecordSub]
t₂:121 [binder, in MoreStlc]
t₂:123 [binder, in RecordSub]
t₂:123 [binder, in Norm]
t₂:127 [binder, in Norm]
T₂:13 [binder, in MoreStlc]
T₂:13 [binder, in Norm]
T₂:13 [binder, in Sub]
t₂:130 [binder, in MoreStlc]
t₂:130 [binder, in Norm]
t₂:133 [binder, in MoreStlc]
t₂:133 [binder, in Norm]
T₂:134 [binder, in References]
T₂:137 [binder, in References]
T₂:139 [binder, in MoreStlc]
t₂:14 [binder, in RecordSub]
t₂:14 [binder, in Types]
t₂:140 [binder, in References]
t₂:141 [binder, in MoreStlc]
T₂:142 [binder, in UseAuto]
T₂:143 [binder, in MoreStlc]
t₂:146 [binder, in Smallstep]
T₂:147 [binder, in UseAuto]
t₂:148 [binder, in Smallstep]
t₂:149 [binder, in References]
T₂:150 [binder, in MoreStlc]
t₂:151 [binder, in MoreStlc]
t₂:152 [binder, in References]
T₂:153 [binder, in RecordSub]
t₂:157 [binder, in MoreStlc]
t₂:162 [binder, in MoreStlc]
t₂:163 [binder, in RecordSub]
t₂:166 [binder, in References]
T₂:166 [binder, in MoreStlc]
T₂:167 [binder, in References]
t₂:17 [binder, in Types]
T₂:17 [binder, in Records]
T₂:170 [binder, in RecordSub]
t₂:171 [binder, in Smallstep]
t₂:173 [binder, in Smallstep]
T₂:173 [binder, in Sub]
t₂:176 [binder, in Smallstep]
T₂:177 [binder, in Sub]
t₂:178 [binder, in Smallstep]
T₂:178 [binder, in UseAuto]
t₂:18 [binder, in References]
T₂:18 [binder, in Sub]
t₂:181 [binder, in Smallstep]
T₂:181 [binder, in Sub]
T₂:185 [binder, in Sub]
t₂:19 [binder, in Smallstep]
T₂:19 [binder, in Typechecking]
T₂:19 [binder, in RecordSub]
T₂:2 [binder, in Typechecking]
T₂:20 [binder, in Norm]
T₂:20 [binder, in Records]
t₂:21 [binder, in Smallstep]
T₂:22 [binder, in RecordSub]
T₂:23 [binder, in Typechecking]
t₂:23 [binder, in Sub]
t₂:240 [binder, in Norm]
t₂:25 [binder, in Norm]
t₂:25 [binder, in Records]
t₂:25 [binder, in Sub]
T₂:26 [binder, in Stlc]
t₂:27 [binder, in Norm]
T₂:28 [binder, in MoreStlc]
t₂:28 [binder, in Sub]
t₂:30 [binder, in Norm]
t₂:30 [binder, in Sub]
T₂:31 [binder, in RecordSub]
t₂:31 [binder, in Stlc]
T₂:32 [binder, in Typechecking]
t₂:32 [binder, in Norm]
t₂:33 [binder, in Stlc]
t₂:33 [binder, in MoreStlc]
t₂:33 [binder, in Sub]
T₂:34 [binder, in Records]
t₂:35 [binder, in Types]
t₂:35 [binder, in MoreStlc]
t₂:35 [binder, in Norm]
t₂:36 [binder, in Stlc]
t₂:38 [binder, in Smallstep]
T₂:38 [binder, in Typechecking]
t₂:38 [binder, in Stlc]
t₂:39 [binder, in Norm]
T₂:4 [binder, in StlcProp]
t₂:40 [binder, in Smallstep]
t₂:41 [binder, in Stlc]
t₂:41 [binder, in Norm]
T₂:43 [binder, in Typechecking]
T₂:45 [binder, in References]
T₂:45 [binder, in Typechecking]
T₂:45 [binder, in Sub]
T₂:46 [binder, in Records]
T₂:47 [binder, in RecordSub]
t₂:47 [binder, in MoreStlc]
t₂:49 [binder, in MoreStlc]
t₂:50 [binder, in StlcProp]
t₂:51 [binder, in References]
T₂:51 [binder, in Stlc]
t₂:51 [binder, in Records]
T₂:52 [binder, in Typechecking]
t₂:52 [binder, in StlcProp]
t₂:52 [binder, in RecordSub]
t₂:53 [binder, in MoreStlc]
t₂:53 [binder, in Records]
t₂:54 [binder, in RecordSub]
T₂:54 [binder, in Stlc]
T₂:54 [binder, in Sub]
t₂:55 [binder, in References]
t₂:55 [binder, in MoreStlc]
T₂:57 [binder, in Typechecking]
t₂:57 [binder, in StlcProp]
t₂:57 [binder, in Stlc]
T₂:57 [binder, in Sub]
t₂:58 [binder, in MoreStlc]
t₂:60 [binder, in StlcProp]
T₂:60 [binder, in Norm]
t₂:60 [binder, in Sub]
t₂:61 [binder, in Stlc]
T₂:62 [binder, in Typechecking]
T₂:62 [binder, in MoreStlc]
t₂:63 [binder, in StlcProp]
t₂:63 [binder, in MoreStlc]
T₂:63 [binder, in Norm]
t₂:64 [binder, in Smallstep]
t₂:64 [binder, in Sub]
t₂:66 [binder, in Smallstep]
t₂:66 [binder, in Norm]
t₂:70 [binder, in Norm]
t₂:71 [binder, in MoreStlc]
T₂:72 [binder, in Sub]
t₂:75 [binder, in References]
t₂:76 [binder, in MoreStlc]
t₂:76 [binder, in Norm]
T₂:77 [binder, in MoreStlc]
T₂:78 [binder, in Norm]
t₂:79 [binder, in Smallstep]
T₂:8 [binder, in References]
T₂:8 [binder, in Typechecking]
T₂:8 [binder, in Stlc]
t₂:80 [binder, in References]
T₂:80 [binder, in RecordSub]
t₂:81 [binder, in Smallstep]
t₂:82 [binder, in MoreStlc]
T₂:82 [binder, in Norm]
T₂:83 [binder, in RecordSub]
T₂:83 [binder, in Records]
t₂:85 [binder, in Records]
t₂:86 [binder, in References]
t₂:86 [binder, in MoreStlc]
T₂:86 [binder, in Norm]
T₂:86 [binder, in Sub]
t₂:88 [binder, in MoreStlc]
T₂:9 [binder, in RecordSub]
t₂:90 [binder, in References]
T₂:92 [binder, in RecordSub]
t₂:92 [binder, in MoreStlc]
t₂:93 [binder, in Smallstep]
t₂:94 [binder, in References]
t₂:97 [binder, in MoreStlc]
t₂:98 [binder, in Sub]
t₃:100 [binder, in MoreStlc]
t₃:106 [binder, in MoreStlc]
t₃:108 [binder, in Smallstep]
t₃:120 [binder, in Smallstep]
t₃:134 [binder, in MoreStlc]
T₃:152 [binder, in MoreStlc]
t₃:153 [binder, in References]
t₃:165 [binder, in MoreStlc]
T₃:179 [binder, in UseAuto]
t₃:18 [binder, in Types]
t₃:182 [binder, in Smallstep]
t₃:34 [binder, in Sub]
t₃:36 [binder, in Types]
t₃:36 [binder, in Norm]
t₃:42 [binder, in Stlc]
t₃:54 [binder, in MoreStlc]
t₃:56 [binder, in MoreStlc]
t₃:58 [binder, in StlcProp]
t₃:59 [binder, in MoreStlc]
t₃:61 [binder, in StlcProp]
t₃:62 [binder, in Stlc]
t₃:64 [binder, in StlcProp]
t₃:65 [binder, in Sub]
t₃:71 [binder, in Norm]
t₃:87 [binder, in References]
t₃:91 [binder, in References]
t₃:95 [binder, in References]
t₃:95 [binder, in MoreStlc]
T₄:180 [binder, in UseAuto]
t:1 [binder, in StlcProp]
t:10 [binder, in Typechecking]
t:10 [binder, in StlcProp]
T:100 [binder, in StlcProp]
T:100 [binder, in RecordSub]
t:100 [binder, in Norm]
t:101 [binder, in UseAuto]
t:101 [binder, in StlcProp]
T:101 [binder, in UseTactics]
T:102 [binder, in StlcProp]
T:102 [binder, in Norm]
T:103 [binder, in Sub]
t:104 [binder, in UseAuto]
T:104 [binder, in UseTactics]
t:104 [binder, in Records]
T:105 [binder, in Records]
t:107 [binder, in UseAuto]
T:107 [binder, in Records]
t:109 [binder, in Smallstep]
T:11 [binder, in StlcProp]
t:111 [binder, in UseAuto]
t:111 [binder, in Records]
T:111 [binder, in Sub]
T:111 [binder, in LibTactics]
T:112 [binder, in Records]
T:113 [binder, in UseAuto]
T:113 [binder, in RecordSub]
t:116 [binder, in Records]
T:117 [binder, in Records]
t:119 [binder, in Records]
t:119 [binder, in Sub]
t:12 [binder, in Stlc]
T:120 [binder, in Records]
T:120 [binder, in Sub]
t:122 [binder, in References]
t:122 [binder, in Sub]
T:123 [binder, in Sub]
t:124 [binder, in Records]
t:125 [binder, in MoreStlc]
t:126 [binder, in UseAuto]
t:126 [binder, in RecordSub]
T:126 [binder, in Records]
T:127 [binder, in RecordSub]
t:127 [binder, in MoreStlc]
t:127 [binder, in Records]
t:127 [binder, in Sub]
T:128 [binder, in UseAuto]
T:129 [binder, in Records]
T:129 [binder, in Sub]
t:130 [binder, in RecordSub]
t:130 [binder, in Sub]
T:132 [binder, in RecordSub]
T:132 [binder, in Sub]
t:133 [binder, in UseAuto]
T:134 [binder, in UseAuto]
t:135 [binder, in Norm]
T:135 [binder, in Sub]
t:136 [binder, in RecordSub]
T:137 [binder, in RecordSub]
t:137 [binder, in Norm]
t:138 [binder, in Smallstep]
t:138 [binder, in Norm]
T:139 [binder, in Sub]
t:14 [binder, in References]
t:14 [binder, in Typechecking]
t:141 [binder, in RecordSub]
t:142 [binder, in Smallstep]
T:142 [binder, in RecordSub]
t:142 [binder, in Norm]
T:143 [binder, in Sub]
T:146 [binder, in RecordSub]
T:147 [binder, in Sub]
t:148 [binder, in Norm]
T:149 [binder, in Norm]
t:15 [binder, in StlcProp]
T:15 [binder, in LibTactics]
t:150 [binder, in Smallstep]
T:151 [binder, in Sub]
t:152 [binder, in Smallstep]
t:152 [binder, in Norm]
T:153 [binder, in Norm]
t:154 [binder, in Norm]
t:155 [binder, in Smallstep]
T:155 [binder, in Sub]
t:157 [binder, in RecordSub]
T:157 [binder, in Norm]
t:158 [binder, in Smallstep]
T:158 [binder, in RecordSub]
t:158 [binder, in Norm]
T:159 [binder, in Sub]
T:16 [binder, in StlcProp]
T:162 [binder, in Norm]
t:163 [binder, in Norm]
T:163 [binder, in Sub]
T:164 [binder, in RecordSub]
T:164 [binder, in Norm]
t:165 [binder, in Norm]
T:165 [binder, in Sub]
t:166 [binder, in Norm]
t:168 [binder, in MoreStlc]
T:168 [binder, in Norm]
T:168 [binder, in Sub]
T:169 [binder, in UseAuto]
T:169 [binder, in References]
T:169 [binder, in MoreStlc]
t:169 [binder, in Norm]
t:170 [binder, in References]
T:170 [binder, in Sub]
T:171 [binder, in Norm]
T:172 [binder, in UseAuto]
t:172 [binder, in Norm]
t:173 [binder, in RecordSub]
t:173 [binder, in MoreStlc]
T:174 [binder, in RecordSub]
T:174 [binder, in MoreStlc]
T:174 [binder, in Norm]
t:175 [binder, in Norm]
T:176 [binder, in UseAuto]
t:176 [binder, in RecordSub]
t:176 [binder, in MoreStlc]
T:177 [binder, in RecordSub]
T:177 [binder, in MoreStlc]
T:177 [binder, in Norm]
t:178 [binder, in Norm]
t:18 [binder, in StlcProp]
T:181 [binder, in References]
t:181 [binder, in RecordSub]
t:181 [binder, in MoreStlc]
t:181 [binder, in Norm]
T:182 [binder, in UseAuto]
t:182 [binder, in References]
t:183 [binder, in Smallstep]
T:183 [binder, in RecordSub]
T:183 [binder, in MoreStlc]
t:184 [binder, in RecordSub]
t:184 [binder, in MoreStlc]
t:185 [binder, in Smallstep]
T:186 [binder, in RecordSub]
T:186 [binder, in MoreStlc]
T:19 [binder, in StlcProp]
T:19 [binder, in LibTactics]
T:196 [binder, in Sub]
T:199 [binder, in References]
t:2 [binder, in StlcProp]
T:201 [binder, in Norm]
t:202 [binder, in References]
T:202 [binder, in Sub]
T:204 [binder, in References]
T:204 [binder, in Sub]
t:205 [binder, in Norm]
T:206 [binder, in Sub]
t:208 [binder, in Norm]
T:208 [binder, in Sub]
t:21 [binder, in Stlc]
T:210 [binder, in Sub]
t:211 [binder, in References]
t:211 [binder, in Norm]
T:212 [binder, in References]
T:212 [binder, in Sub]
T:214 [binder, in Sub]
t:215 [binder, in References]
T:215 [binder, in Sub]
T:216 [binder, in References]
t:216 [binder, in Norm]
T:216 [binder, in Sub]
T:217 [binder, in Sub]
t:218 [binder, in Norm]
T:218 [binder, in Sub]
t:221 [binder, in References]
T:222 [binder, in Sub]
T:223 [binder, in References]
t:223 [binder, in Norm]
T:223 [binder, in Sub]
t:225 [binder, in Sub]
T:226 [binder, in Sub]
t:227 [binder, in References]
t:23 [binder, in StlcProp]
t:231 [binder, in References]
t:231 [binder, in Norm]
T:232 [binder, in References]
T:236 [binder, in Norm]
t:237 [binder, in Norm]
t:242 [binder, in References]
T:244 [binder, in References]
t:249 [binder, in References]
T:25 [binder, in StlcProp]
t:25 [binder, in RecordSub]
T:250 [binder, in References]
T:250 [binder, in Norm]
t:251 [binder, in Norm]
T:254 [binder, in References]
t:257 [binder, in Norm]
T:258 [binder, in Norm]
t:26 [binder, in Typechecking]
t:263 [binder, in Norm]
t:268 [binder, in Norm]
T:27 [binder, in Typechecking]
t:27 [binder, in Types]
t:272 [binder, in Norm]
T:273 [binder, in Norm]
t:276 [binder, in Norm]
T:277 [binder, in Norm]
t:28 [binder, in Types]
t:28 [binder, in Records]
t:29 [binder, in Typechecking]
t:29 [binder, in StlcProp]
t:29 [binder, in Types]
t:3 [binder, in Smallstep]
T:30 [binder, in Typechecking]
T:31 [binder, in StlcProp]
T:31 [binder, in UseTactics]
t:32 [binder, in StlcProp]
T:34 [binder, in StlcProp]
t:35 [binder, in StlcProp]
t:36 [binder, in References]
T:36 [binder, in Typechecking]
T:37 [binder, in StlcProp]
T:37 [binder, in Types]
T:37 [binder, in Sub]
t:38 [binder, in StlcProp]
t:39 [binder, in StlcProp]
t:40 [binder, in References]
t:40 [binder, in Typechecking]
T:40 [binder, in Sub]
T:41 [binder, in StlcProp]
t:41 [binder, in Types]
t:42 [binder, in Smallstep]
t:42 [binder, in Types]
t:43 [binder, in Types]
T:44 [binder, in StlcProp]
t:44 [binder, in Types]
T:45 [binder, in Types]
t:46 [binder, in Smallstep]
t:47 [binder, in Types]
t:49 [binder, in Smallstep]
T:49 [binder, in Types]
t:50 [binder, in Types]
t:51 [binder, in Norm]
t:52 [binder, in Smallstep]
T:52 [binder, in Types]
t:53 [binder, in Types]
T:55 [binder, in Types]
t:56 [binder, in Types]
T:58 [binder, in Types]
t:59 [binder, in Types]
T:6 [binder, in Typechecking]
T:61 [binder, in Types]
t:64 [binder, in Typechecking]
T:65 [binder, in Typechecking]
t:65 [binder, in StlcProp]
T:65 [binder, in Stlc]
T:66 [binder, in Stlc]
t:67 [binder, in Typechecking]
T:68 [binder, in Typechecking]
t:68 [binder, in StlcProp]
T:68 [binder, in Stlc]
t:69 [binder, in Typechecking]
T:69 [binder, in StlcProp]
t:7 [binder, in StlcProp]
t:7 [binder, in Types]
t:7 [binder, in MoreStlc]
t:7 [binder, in Norm]
t:7 [binder, in Sub]
t:72 [binder, in StlcProp]
T:72 [binder, in RecordSub]
T:73 [binder, in StlcProp]
t:74 [binder, in Typechecking]
T:75 [binder, in RecordSub]
t:75 [binder, in UseTactics]
t:76 [binder, in StlcProp]
T:77 [binder, in StlcProp]
T:77 [binder, in UseTactics]
T:77 [binder, in Records]
T:8 [binder, in StlcProp]
t:8 [binder, in Types]
t:84 [binder, in Typechecking]
t:85 [binder, in Typechecking]
t:85 [binder, in StlcProp]
t:86 [binder, in UseAuto]
t:86 [binder, in Typechecking]
t:87 [binder, in Records]
T:88 [binder, in UseAuto]
t:88 [binder, in Typechecking]
t:89 [binder, in UseAuto]
t:89 [binder, in Typechecking]
t:89 [binder, in Norm]
T:90 [binder, in Norm]
T:91 [binder, in UseAuto]
t:91 [binder, in StlcProp]
t:91 [binder, in Records]
t:92 [binder, in UseAuto]
t:92 [binder, in Norm]
T:92 [binder, in Records]
t:92 [binder, in Sub]
T:93 [binder, in UseAuto]
T:93 [binder, in Norm]
T:93 [binder, in Sub]
t:94 [binder, in Smallstep]
t:95 [binder, in UseAuto]
T:95 [binder, in RecordSub]
T:95 [binder, in Records]
T:96 [binder, in UseAuto]
t:96 [binder, in StlcProp]
T:96 [binder, in UseTactics]
T:97 [binder, in StlcProp]
T:97 [binder, in RecordSub]
t:97 [binder, in Norm]
T:97 [binder, in Records]
t:98 [binder, in UseAuto]
t:98 [binder, in StlcProp]
T:99 [binder, in Norm]
T:99 [binder, in Records]
T:99 [binder, in Sub]

U

UnfoldsExample [module, in UseTactics]
UnfoldsExample.bexp_eval_true [lemma, in UseTactics]
UseAuto [library]
UseTactics [library]
U₁:107 [binder, in RecordSub]
U₁:77 [binder, in Sub]
U₂:108 [binder, in RecordSub]
U₂:78 [binder, in Sub]
U:104 [binder, in RecordSub]
u:114 [binder, in Equiv]
U:123 [binder, in Records]
U:126 [binder, in Sub]
U:136 [binder, in Sub]
U:140 [binder, in Sub]
U:144 [binder, in Sub]
U:148 [binder, in Sub]
U:152 [binder, in Sub]
U:156 [binder, in Sub]
U:160 [binder, in Sub]
U:173 [binder, in UseAuto]
U:180 [binder, in RecordSub]
U:180 [binder, in MoreStlc]
U:189 [binder, in LibTactics]
U:22 [binder, in StlcProp]
U:220 [binder, in References]
U:28 [binder, in StlcProp]
u:38 [binder, in UseTactics]
U:39 [binder, in Sub]
u:6 [binder, in StlcProp]
U:73 [binder, in Sub]
U:74 [binder, in RecordSub]
U:74 [binder, in UseTactics]
U:74 [binder, in Sub]
U:79 [binder, in Sub]
U:80 [binder, in Sub]
U:82 [binder, in Sub]
U:96 [binder, in Norm]

V

vacuous_substitution [lemma, in Norm]
valid [definition, in HoareAsLogic]
value [inductive, in Smallstep]
value [inductive, in Norm]
value_is_nf [lemma, in Smallstep]
value_halts [lemma, in Norm]
value__normal [lemma, in Norm]
varname:273 [binder, in LibTactics]
varname:274 [binder, in LibTactics]
varname:275 [binder, in LibTactics]
varname:276 [binder, in LibTactics]
var_not_used_in_aexp [inductive, in Equiv]
vc_dec_while [definition, in Hoare2]
verification_correct_dec [lemma, in Hoare2]
verification_conditions_dec [definition, in Hoare2]
verification_correct [lemma, in Hoare2]
verification_conditions [definition, in Hoare2]
vi:149 [binder, in RecordSub]
vi:60 [binder, in Records]
vi:61 [binder, in RecordSub]
vl:102 [binder, in MoreStlc]
VNUId [constructor, in Equiv]
VNUMinus [constructor, in Equiv]
VNUMult [constructor, in Equiv]
VNUNum [constructor, in Equiv]
VNUPlus [constructor, in Equiv]
vr:35 [binder, in RecordSub]
vr:38 [binder, in Records]
v_const [constructor, in Smallstep]
V_cons [constructor, in Norm]
V_nil [constructor, in Norm]
v_pair [constructor, in Norm]
v_false [constructor, in Norm]
v_true [constructor, in Norm]
v_abs [constructor, in Norm]
V₀:39 [binder, in PE]
V₀:62 [binder, in PE]
V₀:69 [binder, in PE]
v₀:72 [binder, in MoreStlc]
v₀:78 [binder, in MoreStlc]
v₁:101 [binder, in MoreStlc]
V₁:105 [binder, in RecordSub]
v₁:11 [binder, in Smallstep]
v₁:117 [binder, in References]
v₁:147 [binder, in Smallstep]
v₁:15 [binder, in Smallstep]
v₁:15 [binder, in Norm]
v₁:167 [binder, in Smallstep]
v₁:172 [binder, in Smallstep]
v₁:197 [binder, in Smallstep]
v₁:20 [binder, in Smallstep]
v₁:200 [binder, in Smallstep]
v₁:205 [binder, in Smallstep]
v₁:208 [binder, in Smallstep]
v₁:21 [binder, in MoreStlc]
v₁:213 [binder, in Smallstep]
v₁:216 [binder, in Smallstep]
v₁:222 [binder, in Norm]
v₁:224 [binder, in Smallstep]
v₁:227 [binder, in Smallstep]
v₁:23 [binder, in MoreStlc]
v₁:232 [binder, in Smallstep]
v₁:235 [binder, in Smallstep]
v₁:24 [binder, in Sub]
v₁:26 [binder, in Norm]
v₁:32 [binder, in Stlc]
v₁:34 [binder, in Smallstep]
v₁:34 [binder, in RecordSub]
v₁:34 [binder, in MoreStlc]
v₁:37 [binder, in Records]
v₁:39 [binder, in Smallstep]
v₁:40 [binder, in Norm]
v₁:45 [binder, in Norm]
v₁:48 [binder, in MoreStlc]
v₁:49 [binder, in Norm]
v₁:52 [binder, in Records]
v₁:53 [binder, in RecordSub]
v₁:54 [binder, in References]
v₁:60 [binder, in Smallstep]
v₁:65 [binder, in Smallstep]
v₁:66 [binder, in Records]
v₁:67 [binder, in RecordSub]
v₁:75 [binder, in Smallstep]
V₁:75 [binder, in Sub]
v₁:79 [binder, in References]
v₁:80 [binder, in Smallstep]
v₁:87 [binder, in MoreStlc]
v₁:89 [binder, in Smallstep]
V₂:106 [binder, in RecordSub]
v₂:12 [binder, in Smallstep]
v₂:16 [binder, in Smallstep]
v₂:16 [binder, in Norm]
v₂:168 [binder, in Smallstep]
v₂:20 [binder, in Sub]
v₂:201 [binder, in Smallstep]
v₂:209 [binder, in Smallstep]
v₂:217 [binder, in Smallstep]
v₂:22 [binder, in MoreStlc]
v₂:22 [binder, in Norm]
v₂:228 [binder, in Smallstep]
v₂:236 [binder, in Smallstep]
v₂:24 [binder, in MoreStlc]
v₂:28 [binder, in Stlc]
v₂:30 [binder, in MoreStlc]
v₂:35 [binder, in Smallstep]
v₂:46 [binder, in Norm]
v₂:47 [binder, in References]
v₂:48 [binder, in Records]
v₂:49 [binder, in RecordSub]
v₂:50 [binder, in Norm]
v₂:57 [binder, in Smallstep]
v₂:61 [binder, in Smallstep]
v₂:76 [binder, in Smallstep]
V₂:76 [binder, in Sub]
v₂:90 [binder, in Smallstep]
V:10 [binder, in HoareAsLogic]
V:101 [binder, in PE]
v:102 [binder, in UseAuto]
V:104 [binder, in PE]
v:105 [binder, in UseAuto]
v:106 [binder, in Records]
v:108 [binder, in UseAuto]
v:109 [binder, in References]
V:115 [binder, in PE]
V:123 [binder, in PE]
v:125 [binder, in Records]
v:128 [binder, in Sub]
V:137 [binder, in Sub]
V:141 [binder, in Sub]
v:145 [binder, in RecordSub]
V:145 [binder, in Sub]
V:149 [binder, in Sub]
V:153 [binder, in Sub]
v:156 [binder, in Norm]
V:157 [binder, in Sub]
v:16 [binder, in MoreStlc]
V:161 [binder, in Sub]
v:18 [binder, in MoreStlc]
v:182 [binder, in RecordSub]
v:182 [binder, in MoreStlc]
V:2 [binder, in PE]
v:202 [binder, in Norm]
v:21 [binder, in Types]
v:213 [binder, in Norm]
v:217 [binder, in Norm]
v:221 [binder, in Norm]
v:222 [binder, in References]
v:230 [binder, in Norm]
v:24 [binder, in StlcProp]
v:24 [binder, in Types]
V:26 [binder, in PE]
v:262 [binder, in Norm]
v:30 [binder, in StlcProp]
V:366 [binder, in PE]
v:39 [binder, in UseTactics]
V:44 [binder, in PE]
v:48 [binder, in Smallstep]
V:57 [binder, in PE]
V:6 [binder, in PE]
V:61 [binder, in PE]
V:64 [binder, in PE]
V:67 [binder, in PE]
v:68 [binder, in Smallstep]
V:72 [binder, in PE]
v:76 [binder, in UseTactics]
V:76 [binder, in PE]
V:80 [binder, in PE]
v:83 [binder, in Smallstep]
V:83 [binder, in PE]
V:94 [binder, in PE]
v:97 [binder, in References]
v:98 [binder, in Norm]
v:99 [binder, in UseAuto]

W

weakening [lemma, in Norm]
weakening_empty [lemma, in Norm]
while_example [definition, in Hoare]
while_true [lemma, in Equiv]
while_true_nonterm [lemma, in Equiv]
while_false [lemma, in Equiv]
working_of_auto_2 [lemma, in UseAuto]
working_of_auto_1 [lemma, in UseAuto]
wp [definition, in HoareAsLogic]
wp_invariant [lemma, in HoareAsLogic]
wp_seq [lemma, in HoareAsLogic]
wp_is_weakest [lemma, in HoareAsLogic]
wp_is_precondition [lemma, in HoareAsLogic]
w:40 [binder, in UseTactics]

X

xts:185 [binder, in Norm]
x':246 [binder, in Norm]
x₁:104 [binder, in MoreStlc]
x₁:118 [binder, in Equiv]
x₁:127 [binder, in LibTactics]
x₁:130 [binder, in LibTactics]
x₁:135 [binder, in LibTactics]
x₁:142 [binder, in LibTactics]
x₁:146 [binder, in MoreStlc]
x₁:151 [binder, in LibTactics]
x₁:162 [binder, in LibTactics]
x₁:163 [binder, in MoreStlc]
x₁:175 [binder, in LibTactics]
x₁:201 [binder, in LibTactics]
x₁:209 [binder, in LibTactics]
x₁:217 [binder, in LibTactics]
x₁:220 [binder, in Norm]
x₁:224 [binder, in LibTactics]
x₁:231 [binder, in LibTactics]
x₁:237 [binder, in LibTactics]
x₁:243 [binder, in LibTactics]
x₁:248 [binder, in LibTactics]
x₁:253 [binder, in LibTactics]
x₁:257 [binder, in LibTactics]
x₁:261 [binder, in LibTactics]
x₁:264 [binder, in LibTactics]
x₁:267 [binder, in LibTactics]
x₁:269 [binder, in LibTactics]
x₁:271 [binder, in LibTactics]
x₁:272 [binder, in LibTactics]
x₁:35 [binder, in LibTactics]
x₁:37 [binder, in LibTactics]
x₁:40 [binder, in LibTactics]
x₁:44 [binder, in LibTactics]
x₁:49 [binder, in LibTactics]
x₁:58 [binder, in LibTactics]
x₁:61 [binder, in LibTactics]
x₁:63 [binder, in UseTactics]
x₁:63 [binder, in LibTactics]
x₁:66 [binder, in LibTactics]
x₁:68 [binder, in MoreStlc]
x₁:69 [binder, in LibTactics]
x₁:73 [binder, in MoreStlc]
x₁:73 [binder, in LibTactics]
x₁:77 [binder, in LibTactics]
x₁:79 [binder, in MoreStlc]
x₁:82 [binder, in LibTactics]
x₁:87 [binder, in LibTactics]
x₁:93 [binder, in MoreStlc]
x₁:93 [binder, in LibTactics]
x₁:98 [binder, in MoreStlc]
x₁:99 [binder, in LibTactics]
x₂:100 [binder, in LibTactics]
x₂:105 [binder, in MoreStlc]
x₂:119 [binder, in Equiv]
x₂:132 [binder, in LibTactics]
x₂:137 [binder, in LibTactics]
x₂:144 [binder, in LibTactics]
x₂:149 [binder, in MoreStlc]
x₂:153 [binder, in LibTactics]
x₂:164 [binder, in MoreStlc]
x₂:164 [binder, in LibTactics]
x₂:177 [binder, in LibTactics]
x₂:202 [binder, in LibTactics]
x₂:210 [binder, in LibTactics]
x₂:218 [binder, in LibTactics]
x₂:225 [binder, in LibTactics]
x₂:232 [binder, in LibTactics]
x₂:238 [binder, in LibTactics]
x₂:244 [binder, in LibTactics]
x₂:249 [binder, in LibTactics]
x₂:254 [binder, in LibTactics]
x₂:258 [binder, in LibTactics]
x₂:262 [binder, in LibTactics]
x₂:265 [binder, in LibTactics]
x₂:268 [binder, in LibTactics]
x₂:270 [binder, in LibTactics]
x₂:38 [binder, in LibTactics]
x₂:41 [binder, in LibTactics]
x₂:45 [binder, in LibTactics]
x₂:50 [binder, in LibTactics]
x₂:64 [binder, in UseTactics]
x₂:64 [binder, in LibTactics]
x₂:67 [binder, in LibTactics]
x₂:70 [binder, in MoreStlc]
x₂:70 [binder, in LibTactics]
x₂:74 [binder, in LibTactics]
x₂:75 [binder, in MoreStlc]
x₂:78 [binder, in LibTactics]
x₂:81 [binder, in MoreStlc]
x₂:83 [binder, in LibTactics]
x₂:88 [binder, in LibTactics]
x₂:94 [binder, in MoreStlc]
x₂:94 [binder, in LibTactics]
x₂:99 [binder, in MoreStlc]
x₃:101 [binder, in LibTactics]
x₃:139 [binder, in LibTactics]
x₃:146 [binder, in LibTactics]
x₃:155 [binder, in LibTactics]
x₃:166 [binder, in LibTactics]
x₃:179 [binder, in LibTactics]
x₃:203 [binder, in LibTactics]
x₃:211 [binder, in LibTactics]
x₃:219 [binder, in LibTactics]
x₃:226 [binder, in LibTactics]
x₃:233 [binder, in LibTactics]
x₃:239 [binder, in LibTactics]
x₃:245 [binder, in LibTactics]
x₃:250 [binder, in LibTactics]
x₃:255 [binder, in LibTactics]
x₃:259 [binder, in LibTactics]
x₃:263 [binder, in LibTactics]
x₃:266 [binder, in LibTactics]
x₃:42 [binder, in LibTactics]
x₃:46 [binder, in LibTactics]
x₃:51 [binder, in LibTactics]
x₃:71 [binder, in LibTactics]
x₃:75 [binder, in LibTactics]
x₃:79 [binder, in LibTactics]
x₃:84 [binder, in LibTactics]
x₃:89 [binder, in LibTactics]
x₃:95 [binder, in LibTactics]
x₄:102 [binder, in LibTactics]
x₄:148 [binder, in LibTactics]
x₄:157 [binder, in LibTactics]
x₄:168 [binder, in LibTactics]
x₄:181 [binder, in LibTactics]
x₄:204 [binder, in LibTactics]
x₄:212 [binder, in LibTactics]
x₄:220 [binder, in LibTactics]
x₄:227 [binder, in LibTactics]
x₄:234 [binder, in LibTactics]
x₄:240 [binder, in LibTactics]
x₄:246 [binder, in LibTactics]
x₄:251 [binder, in LibTactics]
x₄:256 [binder, in LibTactics]
x₄:260 [binder, in LibTactics]
x₄:47 [binder, in LibTactics]
x₄:52 [binder, in LibTactics]
x₄:80 [binder, in LibTactics]
x₄:85 [binder, in LibTactics]
x₄:90 [binder, in LibTactics]
x₄:96 [binder, in LibTactics]
x₅:103 [binder, in LibTactics]
x₅:159 [binder, in LibTactics]
x₅:170 [binder, in LibTactics]
x₅:183 [binder, in LibTactics]
x₅:205 [binder, in LibTactics]
x₅:213 [binder, in LibTactics]
x₅:221 [binder, in LibTactics]
x₅:228 [binder, in LibTactics]
x₅:235 [binder, in LibTactics]
x₅:241 [binder, in LibTactics]
x₅:247 [binder, in LibTactics]
x₅:252 [binder, in LibTactics]
x₅:53 [binder, in LibTactics]
x₅:91 [binder, in LibTactics]
x₅:97 [binder, in LibTactics]
x₆:104 [binder, in LibTactics]
x₆:172 [binder, in LibTactics]
x₆:185 [binder, in LibTactics]
x₆:206 [binder, in LibTactics]
x₆:214 [binder, in LibTactics]
x₆:222 [binder, in LibTactics]
x₆:229 [binder, in LibTactics]
x₆:236 [binder, in LibTactics]
x₆:242 [binder, in LibTactics]
x₇:187 [binder, in LibTactics]
x₇:207 [binder, in LibTactics]
x₇:215 [binder, in LibTactics]
x₇:223 [binder, in LibTactics]
x₇:230 [binder, in LibTactics]
x₈:208 [binder, in LibTactics]
x₈:216 [binder, in LibTactics]
X:1 [binder, in Records]
x:10 [binder, in Stlc]
x:10 [binder, in UseTactics]
x:100 [binder, in UseTactics]
x:102 [binder, in Sub]
x:103 [binder, in UseTactics]
x:105 [binder, in UseTactics]
x:105 [binder, in Norm]
x:106 [binder, in Norm]
x:109 [binder, in Norm]
x:110 [binder, in MoreStlc]
x:112 [binder, in RecordSub]
x:112 [binder, in Norm]
x:112 [binder, in Sub]
x:113 [binder, in MoreStlc]
x:113 [binder, in Equiv]
x:115 [binder, in RecordSub]
x:116 [binder, in Norm]
x:116 [binder, in LibTactics]
x:119 [binder, in UseAuto]
x:12 [binder, in References]
x:12 [binder, in MoreStlc]
x:12 [binder, in Norm]
x:12 [binder, in Sub]
x:120 [binder, in Norm]
X:121 [binder, in Smallstep]
x:122 [binder, in Equiv]
x:122 [binder, in Records]
x:124 [binder, in Norm]
x:125 [binder, in Smallstep]
x:125 [binder, in Sub]
x:126 [binder, in Smallstep]
x:127 [binder, in Hoare]
x:128 [binder, in Norm]
X:129 [binder, in Smallstep]
x:129 [binder, in References]
x:131 [binder, in Smallstep]
x:131 [binder, in Norm]
x:132 [binder, in References]
X:133 [binder, in Smallstep]
x:133 [binder, in Equiv]
x:134 [binder, in Norm]
x:135 [binder, in Smallstep]
x:136 [binder, in Norm]
x:138 [binder, in UseAuto]
x:139 [binder, in Norm]
X:140 [binder, in Smallstep]
x:143 [binder, in UseAuto]
x:144 [binder, in Norm]
x:145 [binder, in Equiv]
x:145 [binder, in Norm]
x:147 [binder, in Norm]
X:15 [binder, in UseTactics]
x:154 [binder, in RecordSub]
x:155 [binder, in UseAuto]
x:156 [binder, in UseAuto]
x:157 [binder, in UseAuto]
x:158 [binder, in UseAuto]
x:16 [binder, in Stlc]
x:160 [binder, in UseAuto]
X:161 [binder, in Hoare]
x:161 [binder, in RecordSub]
x:162 [binder, in UseAuto]
x:164 [binder, in UseAuto]
x:165 [binder, in UseAuto]
x:166 [binder, in UseAuto]
x:166 [binder, in RecordSub]
x:17 [binder, in Sub]
x:175 [binder, in Hoare]
x:179 [binder, in RecordSub]
x:179 [binder, in MoreStlc]
x:183 [binder, in UseAuto]
x:185 [binder, in UseAuto]
x:188 [binder, in UseAuto]
X:188 [binder, in Norm]
x:189 [binder, in References]
x:19 [binder, in UseTactics]
x:19 [binder, in Norm]
x:190 [binder, in UseAuto]
x:192 [binder, in LibTactics]
x:193 [binder, in UseAuto]
X:193 [binder, in Norm]
x:199 [binder, in UseAuto]
x:20 [binder, in Stlc]
x:20 [binder, in UseTactics]
x:200 [binder, in Norm]
x:205 [binder, in UseAuto]
x:206 [binder, in Norm]
x:209 [binder, in Norm]
x:21 [binder, in StlcProp]
X:21 [binder, in LibTactics]
x:212 [binder, in Hoare]
x:212 [binder, in Norm]
x:215 [binder, in UseAuto]
x:215 [binder, in Norm]
x:219 [binder, in References]
x:219 [binder, in Norm]
x:22 [binder, in LibTactics]
x:229 [binder, in Norm]
X:23 [binder, in Smallstep]
x:23 [binder, in References]
x:23 [binder, in RecordSub]
x:233 [binder, in Norm]
x:235 [binder, in Norm]
x:237 [binder, in Hoare]
x:239 [binder, in References]
X:24 [binder, in Smallstep]
x:242 [binder, in Norm]
x:245 [binder, in Norm]
X:248 [binder, in Hoare]
x:249 [binder, in Norm]
x:25 [binder, in Stlc]
X:252 [binder, in Hoare]
X:254 [binder, in Hoare]
X:255 [binder, in References]
x:256 [binder, in Norm]
x:259 [binder, in References]
x:26 [binder, in Smallstep]
X:26 [binder, in Hoare]
x:26 [binder, in Records]
x:26 [binder, in LibTactics]
x:261 [binder, in References]
x:261 [binder, in Norm]
x:267 [binder, in Hoare]
x:27 [binder, in StlcProp]
x:27 [binder, in MoreStlc]
x:274 [binder, in Norm]
x:275 [binder, in Norm]
x:28 [binder, in Hoare]
x:28 [binder, in LibTactics]
x:282 [binder, in LibTactics]
X:30 [binder, in Hoare]
x:30 [binder, in References]
x:30 [binder, in RecordSub]
X:316 [binder, in Hoare]
x:32 [binder, in Hoare]
x:33 [binder, in References]
x:33 [binder, in Records]
x:35 [binder, in PE]
x:38 [binder, in UseAuto]
x:41 [binder, in UseAuto]
x:41 [binder, in UseTactics]
x:41 [binder, in Equiv]
X:42 [binder, in Equiv]
X:44 [binder, in Smallstep]
x:44 [binder, in References]
x:45 [binder, in UseAuto]
x:45 [binder, in Records]
x:46 [binder, in StlcProp]
x:46 [binder, in RecordSub]
x:46 [binder, in Stlc]
x:47 [binder, in UseAuto]
x:48 [binder, in UseTactics]
x:49 [binder, in Stlc]
x:49 [binder, in Sub]
x:5 [binder, in StlcProp]
X:5 [binder, in UseTactics]
x:5 [binder, in MoreStlc]
x:5 [binder, in Norm]
x:5 [binder, in Sub]
x:50 [binder, in UseAuto]
x:52 [binder, in Sub]
X:54 [binder, in Hoare]
x:55 [binder, in Norm]
x:58 [binder, in Norm]
X:59 [binder, in Hoare]
x:59 [binder, in UseTactics]
X:6 [binder, in Hoare2]
x:61 [binder, in Hoare2]
x:62 [binder, in Equiv]
x:64 [binder, in UseAuto]
x:65 [binder, in Hoare2]
x:66 [binder, in StlcProp]
x:66 [binder, in Hoare2]
x:67 [binder, in StlcProp]
x:7 [binder, in References]
x:7 [binder, in Stlc]
x:73 [binder, in UseTactics]
x:76 [binder, in Records]
x:78 [binder, in StlcProp]
x:78 [binder, in Records]
x:8 [binder, in UseTactics]
x:83 [binder, in StlcProp]
x:87 [binder, in Sub]
x:89 [binder, in PE]
x:9 [binder, in UseTactics]
X:94 [binder, in Hoare2]
x:95 [binder, in UseTactics]
x:95 [binder, in Norm]
x:96 [binder, in Sub]
X:98 [binder, in Hoare2]

Y

y₁:128 [binder, in LibTactics]
y₁:131 [binder, in LibTactics]
y₁:136 [binder, in LibTactics]
y₁:143 [binder, in LibTactics]
y₁:152 [binder, in LibTactics]
y₁:163 [binder, in LibTactics]
y₁:176 [binder, in LibTactics]
y₁:27 [binder, in Smallstep]
y₁:59 [binder, in LibTactics]
y₁:60 [binder, in LibTactics]
y₁:65 [binder, in UseTactics]
y₁:65 [binder, in LibTactics]
y₁:72 [binder, in LibTactics]
y₁:81 [binder, in LibTactics]
y₁:92 [binder, in LibTactics]
y₂:133 [binder, in LibTactics]
y₂:138 [binder, in LibTactics]
y₂:145 [binder, in LibTactics]
y₂:154 [binder, in LibTactics]
y₂:165 [binder, in LibTactics]
y₂:178 [binder, in LibTactics]
y₂:28 [binder, in Smallstep]
y₂:66 [binder, in UseTactics]
y₃:140 [binder, in LibTactics]
y₃:147 [binder, in LibTactics]
y₃:156 [binder, in LibTactics]
y₃:167 [binder, in LibTactics]
y₃:180 [binder, in LibTactics]
y₄:149 [binder, in LibTactics]
y₄:158 [binder, in LibTactics]
y₄:169 [binder, in LibTactics]
y₄:182 [binder, in LibTactics]
y₅:160 [binder, in LibTactics]
y₅:171 [binder, in LibTactics]
y₅:184 [binder, in LibTactics]
y₆:173 [binder, in LibTactics]
y₆:186 [binder, in LibTactics]
y₇:188 [binder, in LibTactics]
y:113 [binder, in Norm]
y:117 [binder, in LibTactics]
y:126 [binder, in Equiv]
y:127 [binder, in Smallstep]
y:132 [binder, in Smallstep]
y:136 [binder, in Smallstep]
y:146 [binder, in Norm]
y:184 [binder, in UseAuto]
y:186 [binder, in UseAuto]
y:189 [binder, in UseAuto]
y:191 [binder, in UseAuto]
y:193 [binder, in LibTactics]
y:194 [binder, in UseAuto]
y:200 [binder, in UseAuto]
y:206 [binder, in UseAuto]
y:260 [binder, in References]
y:262 [binder, in References]
y:283 [binder, in LibTactics]
y:33 [binder, in Hoare]
y:36 [binder, in PE]
y:42 [binder, in UseTactics]
y:49 [binder, in UseTactics]
y:53 [binder, in StlcProp]
y:60 [binder, in UseTactics]
y:87 [binder, in PE]
y:96 [binder, in Records]

Z

zprop [definition, in Equiv]
zprop_preserving [lemma, in Equiv]
z:128 [binder, in Smallstep]
z:137 [binder, in Smallstep]
z:187 [binder, in UseAuto]
z:195 [binder, in UseAuto]
z:201 [binder, in UseAuto]
z:207 [binder, in UseAuto]
z:263 [binder, in References]
z:43 [binder, in UseTactics]
z:61 [binder, in UseTactics]

other

com:{{ _ }} _ (dcom_scope) [notation, in Hoare2]
com:_ ; _ (dcom_scope) [notation, in Hoare2]
com:_ ->> {{ _ }} (dcom_scope) [notation, in Hoare2]
com:->> {{ _ }} _ (dcom_scope) [notation, in Hoare2]
com:if _ then {{ _ }} _ else {{ _ }} _ end {{ _ }} (dcom_scope) [notation, in Hoare2]
com:while _ do {{ _ }} _ end {{ _ }} (dcom_scope) [notation, in Hoare2]
com:_ := _ {{ _ }} (dcom_scope) [notation, in Hoare2]
com:skip {{ _ }} (dcom_scope) [notation, in Hoare2]
stlc:_ [notation, in Norm]
stlc:_ .snd [notation, in Norm]
stlc:_ .fst [notation, in Norm]
stlc:_ * _ [notation, in Norm]
stlc:_ _ [notation, in Norm]
stlc:_ -> _ [notation, in Norm]
stlc:Bool [notation, in Norm]
stlc:false [notation, in Norm]
stlc:if _ then _ else _ [notation, in Norm]
stlc:true [notation, in Norm]
stlc:( _ , _ ) [notation, in Norm]
stlc:( _ ) [notation, in Norm]
stlc:[ _ := _ ] _ [notation, in Norm]
stlc:\ _ : _ , _ [notation, in Norm]
stlc:{ _ } [notation, in Norm]
_ * _ (assertion_scope) [notation, in Hoare]
_ - _ (assertion_scope) [notation, in Hoare]
_ + _ (assertion_scope) [notation, in Hoare]
_ > _ (assertion_scope) [notation, in Hoare]
_ >= _ (assertion_scope) [notation, in Hoare]
_ < _ (assertion_scope) [notation, in Hoare]
_ <= _ (assertion_scope) [notation, in Hoare]
_ <> _ (assertion_scope) [notation, in Hoare]
_ = _ (assertion_scope) [notation, in Hoare]
_ <-> _ (assertion_scope) [notation, in Hoare]
_ -> _ (assertion_scope) [notation, in Hoare]
_ \/ _ (assertion_scope) [notation, in Hoare]
_ /\ _ (assertion_scope) [notation, in Hoare]
~ _ (assertion_scope) [notation, in Hoare]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [notation, in Hoare]
_ <<->> _ (hoare_spec_scope) [notation, in Hoare]
_ ->> _ (hoare_spec_scope) [notation, in Hoare]
>> _ _ _ _ _ _ _ _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ _ _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ _ (ltac_scope) [notation, in LibTactics]
>> _ _ (ltac_scope) [notation, in LibTactics]
>> _ (ltac_scope) [notation, in LibTactics]
>> (ltac_scope) [notation, in LibTactics]
___ (ltac_scope) [notation, in LibTactics]
__ (ltac_scope) [notation, in LibTactics]
_ / _ --> _ / _ [notation, in Smallstep]
_ / _ -->b _ [notation, in Smallstep]
_ / _ -->a _ [notation, in Smallstep]
_ -->* _ [notation, in Smallstep]
_ --> _ [notation, in Smallstep]
_ ==> _ [notation, in Smallstep]
_ [ _ ⊢> _ ] [notation, in Hoare]
_ <- _ ;; _ [notation, in Typechecking]
_ ⊢ _ ∈ _ [notation, in Norm]
_ -->* _ [notation, in Norm]
_ --> _ [notation, in Norm]
_ =' _ [notation, in LibTactics]
_ / _ / _ ==> _ [notation, in PE]
_ / _ ==> _ / _ [notation, in PE]
fail [notation, in Typechecking]
false [notation, in Norm]
nosimpl _ [notation, in LibTactics]
Register _ _ [notation, in LibTactics]
return _ [notation, in Typechecking]
Something [notation, in LibTactics]
true [notation, in Norm]
<{ _ }> [notation, in Norm]

---

Notation Index

C

com:_ ; _ [in Smallstep]
com:_ := _ [in Smallstep]
com:_ || _ [in Smallstep]
com:if _ then _ else _ end [in Smallstep]
com:skip [in Smallstep]
com:while _ do _ end [in Smallstep]
_ / _ -->* _ / _ [in Smallstep]
_ / _ --> _ / _ [in Smallstep]
_ --> _ [in Smallstep]

H

com:_ ; _ [in Hoare]
com:_ := _ [in Hoare]
com:_ ; _ [in Equiv]
com:_ := _ [in Equiv]
com:havoc _ [in Hoare]
com:havoc _ [in Equiv]
com:if _ then _ else _ end [in Hoare]
com:if _ then _ else _ end [in Equiv]
com:skip [in Hoare]
com:skip [in Equiv]
com:while _ do _ end [in Hoare]
com:while _ do _ end [in Equiv]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [in Hoare]
_ =[ _ ]=> _ [in Hoare]
_ =[ _ ]=> _ [in Equiv]
com:_ ; _ [in Hoare]
com:_ := _ [in Hoare]
com:assert _ [in Hoare]
com:assume _ [in Hoare]
com:if _ then _ else _ end [in Hoare]
com:skip [in Hoare]
com:while _ do _ end [in Hoare]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [in Hoare]
_ =[ _ ]=> _ [in Hoare]

I

com:_ ; _ [in Hoare]
com:_ := _ [in Hoare]
com:if _ then _ else _ end [in Hoare]
com:if₁ _ then _ end [in Hoare]
com:skip [in Hoare]
com:while _ do _ end [in Hoare]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [in Hoare]
_ =[ _ ]=> _ [in Hoare]

L

_ / _ / _ / _ ==> _ # _ [in PE]
_ / _ ==> _ # _ [in PE]
_ / _ ==> _ / _ / _ [in PE]

R

stlc_ty:Top [in RecordSub]
stlc_ty:nil [in RecordSub]
stlc_ty:_ : _ :: _ [in RecordSub]
stlc_ty:Base _ [in RecordSub]
stlc_ty:_ -> _ [in RecordSub]
stlc_ty:_ [in RecordSub]
stlc_ty:( _ ) [in RecordSub]
stlc:_ [in RecordSub]
stlc:_ --> _ [in RecordSub]
stlc:_ := _ :: _ [in RecordSub]
stlc:_ _ [in RecordSub]
stlc:nil [in RecordSub]
stlc:( _ ) [in RecordSub]
stlc:[ _ := _ ] _ [in RecordSub]
stlc:\ _ : _ , _ [in RecordSub]
stlc:{ _ } [in RecordSub]
_ ⊢ _ ∈ _ [in RecordSub]
_ <: _ [in RecordSub]
_ --> _ [in RecordSub]
<{ _ }> [in RecordSub]
<{{ _ }}> [in RecordSub]
com:_ ; _ [in Hoare]
com:_ := _ [in Hoare]
com:if _ then _ else _ end [in Hoare]
com:repeat _ until _ end [in Hoare]
com:skip [in Hoare]
com:while _ do _ end [in Hoare]
_ =[ _ ]=> _ [in Hoare]
{{ _ }} _ {{ _ }} [in Hoare]

S

_ --> _ [in Smallstep]
stlc:_ [in StlcProp]
stlc:_ * _ [in StlcProp]
stlc:_ _ [in StlcProp]
stlc:_ -> _ [in StlcProp]
stlc:if₀ _ then _ else _ [in StlcProp]
stlc:Nat [in StlcProp]
stlc:pred _ [in StlcProp]
stlc:succ _ [in StlcProp]
stlc:( _ ) [in StlcProp]
stlc:\ _ : _ , _ [in StlcProp]
stlc:{ _ } [in StlcProp]
_ ⊢ _ ∈ _ [in StlcProp]
_ -->* _ [in StlcProp]
_ --> _ [in StlcProp]
<{ _ }> [in StlcProp]
stlc_ty:nil [in Records]
stlc_ty:_ : _ :: _ [in Records]
stlc_ty:Base _ [in Records]
stlc_ty:_ -> _ [in Records]
stlc_ty:_ [in Records]
stlc_ty:( _ ) [in Records]
stlc:_ [in Records]
stlc:_ --> _ [in Records]
stlc:_ := _ :: _ [in Records]
stlc:_ _ [in Records]
stlc:nil [in Records]
stlc:( _ ) [in Records]
stlc:[ _ := _ ] _ [in Records]
stlc:\ _ : _ , _ [in Records]
stlc:{ _ } [in Records]
_ ⊢ _ ∈ _ [in Records]
_ -->* _ [in Records]
_ --> _ [in Records]
<{ _ }> [in Records]
<{{ _ }}> [in Records]
stlc_ty:Unit [in MoreStlc]
stlc_ty:List _ [in MoreStlc]
stlc_ty:_ * _ [in MoreStlc]
stlc_ty:_ + _ [in MoreStlc]
stlc_ty:Nat [in MoreStlc]
stlc_ty:_ -> _ [in MoreStlc]
stlc_ty:_ [in MoreStlc]
stlc_ty:( _ ) [in MoreStlc]
stlc:_ [in MoreStlc]
stlc:_ :: _ [in MoreStlc]
stlc:_ .snd [in MoreStlc]
stlc:_ .fst [in MoreStlc]
stlc:_ * _ [in MoreStlc]
stlc:_ _ [in MoreStlc]
stlc:case _ of | nil => _ | _ :: _ => _ [in MoreStlc]
stlc:case _ of | inl _ => _ | inr _ => _ [in MoreStlc]
stlc:fix _ [in MoreStlc]
stlc:if₀ _ then _ else _ [in MoreStlc]
stlc:inl _ _ [in MoreStlc]
stlc:inr _ _ [in MoreStlc]
stlc:let _ = _ in _ [in MoreStlc]
stlc:nil _ [in MoreStlc]
stlc:pred _ [in MoreStlc]
stlc:succ _ [in MoreStlc]
stlc:unit [in MoreStlc]
stlc:( _ , _ ) [in MoreStlc]
stlc:( _ ) [in MoreStlc]
stlc:[ _ := _ ] _ [in MoreStlc]
stlc:\ _ : _ , _ [in MoreStlc]
stlc:{ _ } [in MoreStlc]
_ ⊢ _ ∈ _ [in MoreStlc]
_ -->* _ [in MoreStlc]
_ --> _ [in MoreStlc]
<{ _ }> [in MoreStlc]
<{{ _ }}> [in MoreStlc]
_ / _ -->+ _ / _ [in References]
stlc:_ [in References]
stlc:_ ; _ [in References]
stlc:_ := _ [in References]
stlc:_ * _ [in References]
stlc:_ _ [in References]
stlc:_ -> _ [in References]
stlc:if₀ _ then _ else _ [in References]
stlc:loc _ [in References]
stlc:Nat [in References]
stlc:pred _ [in References]
stlc:ref _ [in References]
stlc:Ref _ [in References]
stlc:succ _ [in References]
stlc:unit [in References]
stlc:Unit [in References]
stlc:! _ [in References]
stlc:( _ ) [in References]
stlc:[ _ := _ ] _ [in References]
stlc:\ _ : _ , _ [in References]
stlc:{ _ } [in References]
_ ; _ ⊢ _ ∈ _ [in References]
_ / _ -->* _ / _ [in References]
_ / _ --> _ / _ [in References]
<{ _ }> [in References]
stlc:_ [in Sub]
stlc:_ .snd [in Sub]
stlc:_ .fst [in Sub]
stlc:_ * _ [in Sub]
stlc:_ _ [in Sub]
stlc:_ -> _ [in Sub]
stlc:Base _ [in Sub]
stlc:Bool [in Sub]
stlc:false [in Sub]
stlc:if _ then _ else _ [in Sub]
stlc:Top [in Sub]
stlc:true [in Sub]
stlc:unit [in Sub]
stlc:Unit [in Sub]
stlc:( _ , _ ) [in Sub]
stlc:( _ ) [in Sub]
stlc:[ _ := _ ] _ [in Sub]
stlc:\ _ : _ , _ [in Sub]
stlc:{ _ } [in Sub]
_ ⊢ _ ∈ _ [in Sub]
_ <: _ [in Sub]
_ --> _ [in Sub]
false [in Sub]
true [in Sub]
<{ _ }> [in Sub]
stlc:_ [in Stlc]
stlc:_ _ [in Stlc]
stlc:_ -> _ [in Stlc]
stlc:Bool [in Stlc]
stlc:false [in Stlc]
stlc:if _ then _ else _ [in Stlc]
stlc:true [in Stlc]
stlc:( _ ) [in Stlc]
stlc:[ _ := _ ] _ [in Stlc]
stlc:\ _ : _ , _ [in Stlc]
_ ⊢ _ ∈ _ [in Stlc]
_ -->* _ [in Stlc]
_ --> _ [in Stlc]
false [in Stlc]
true [in Stlc]
<{ _ }> [in Stlc]

T

_ --> _ [in Smallstep]
_ --> _ [in Smallstep]
_ --> _ [in Smallstep]
_ --> _ [in Smallstep]
_ --> _ [in Smallstep]
tm:if _ then _ else _ (tm_scope) [in Types]
tm:iszero _ (tm_scope) [in Types]
tm:pred _ (tm_scope) [in Types]
tm:succ _ (tm_scope) [in Types]
tm:0 (tm_scope) [in Types]
tm:_ (tm_scope) [in Types]
tm:( _ ) (tm_scope) [in Types]
tm:false (tm_scope) [in Types]
tm:true (tm_scope) [in Types]
0 (tm_scope) [in Types]
<{ _ }> (tm_scope) [in Types]
false (tm_scope) [in Types]
true (tm_scope) [in Types]
_ -->* _ [in Types]
_ --> _ [in Types]
⊢ _ ∈ _ [in Types]

other

com:{{ _ }} _ (dcom_scope) [in Hoare2]
com:_ ; _ (dcom_scope) [in Hoare2]
com:_ ->> {{ _ }} (dcom_scope) [in Hoare2]
com:->> {{ _ }} _ (dcom_scope) [in Hoare2]
com:if _ then {{ _ }} _ else {{ _ }} _ end {{ _ }} (dcom_scope) [in Hoare2]
com:while _ do {{ _ }} _ end {{ _ }} (dcom_scope) [in Hoare2]
com:_ := _ {{ _ }} (dcom_scope) [in Hoare2]
com:skip {{ _ }} (dcom_scope) [in Hoare2]
stlc:_ [in Norm]
stlc:_ .snd [in Norm]
stlc:_ .fst [in Norm]
stlc:_ * _ [in Norm]
stlc:_ _ [in Norm]
stlc:_ -> _ [in Norm]
stlc:Bool [in Norm]
stlc:false [in Norm]
stlc:if _ then _ else _ [in Norm]
stlc:true [in Norm]
stlc:( _ , _ ) [in Norm]
stlc:( _ ) [in Norm]
stlc:[ _ := _ ] _ [in Norm]
stlc:\ _ : _ , _ [in Norm]
stlc:{ _ } [in Norm]
_ * _ (assertion_scope) [in Hoare]
_ - _ (assertion_scope) [in Hoare]
_ + _ (assertion_scope) [in Hoare]
_ > _ (assertion_scope) [in Hoare]
_ >= _ (assertion_scope) [in Hoare]
_ < _ (assertion_scope) [in Hoare]
_ <= _ (assertion_scope) [in Hoare]
_ <> _ (assertion_scope) [in Hoare]
_ = _ (assertion_scope) [in Hoare]
_ <-> _ (assertion_scope) [in Hoare]
_ -> _ (assertion_scope) [in Hoare]
_ \/ _ (assertion_scope) [in Hoare]
_ /\ _ (assertion_scope) [in Hoare]
~ _ (assertion_scope) [in Hoare]
{{ _ }} _ {{ _ }} (hoare_spec_scope) [in Hoare]
_ <<->> _ (hoare_spec_scope) [in Hoare]
_ ->> _ (hoare_spec_scope) [in Hoare]
>> _ _ _ _ _ _ _ _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ _ _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ _ (ltac_scope) [in LibTactics]
>> _ _ _ (ltac_scope) [in LibTactics]
>> _ _ (ltac_scope) [in LibTactics]
>> _ (ltac_scope) [in LibTactics]
>> (ltac_scope) [in LibTactics]
___ (ltac_scope) [in LibTactics]
__ (ltac_scope) [in LibTactics]
_ / _ --> _ / _ [in Smallstep]
_ / _ -->b _ [in Smallstep]
_ / _ -->a _ [in Smallstep]
_ -->* _ [in Smallstep]
_ --> _ [in Smallstep]
_ ==> _ [in Smallstep]
_ [ _ ⊢> _ ] [in Hoare]
_ <- _ ;; _ [in Typechecking]
_ ⊢ _ ∈ _ [in Norm]
_ -->* _ [in Norm]
_ --> _ [in Norm]
_ =' _ [in LibTactics]
_ / _ / _ ==> _ [in PE]
_ / _ ==> _ / _ [in PE]
fail [in Typechecking]
false [in Norm]
nosimpl _ [in LibTactics]
Register _ _ [in LibTactics]
return _ [in Typechecking]
Something [in LibTactics]
true [in Norm]
<{ _ }> [in Norm]

---

Binder Index

A

atrans:91 [in Equiv]
a':64 [in Equiv]
a₁':136 [in PE]
a₁':195 [in Smallstep]
a₁':203 [in Smallstep]
a₁':210 [in PE]
a₁':211 [in Smallstep]
a₁':222 [in Smallstep]
a₁':230 [in Smallstep]
a₁':250 [in Smallstep]
a₁':282 [in Smallstep]
a₁:1 [in Equiv]
a₁:120 [in Equiv]
a₁:125 [in Hoare]
a₁:127 [in Equiv]
a₁:129 [in Equiv]
a₁:131 [in Equiv]
a₁:131 [in PE]
a₁:135 [in PE]
a₁:16 [in PE]
a₁:173 [in Hoare]
a₁:179 [in Equiv]
a₁:194 [in Smallstep]
a₁:202 [in Smallstep]
a₁:205 [in PE]
a₁:209 [in PE]
a₁:210 [in Smallstep]
a₁:210 [in Hoare]
a₁:221 [in Smallstep]
a₁:229 [in Smallstep]
a₁:249 [in Smallstep]
a₁:265 [in Hoare]
a₁:281 [in Smallstep]
a₁:324 [in PE]
a₁:45 [in Equiv]
a₁:47 [in Equiv]
a₂':199 [in Smallstep]
a₂':207 [in Smallstep]
a₂':215 [in Smallstep]
a₂':226 [in Smallstep]
a₂':234 [in Smallstep]
a₂:121 [in Equiv]
a₂:128 [in Equiv]
a₂:130 [in Equiv]
a₂:132 [in Equiv]
a₂:17 [in PE]
a₂:180 [in Equiv]
a₂:196 [in Smallstep]
a₂:198 [in Smallstep]
a₂:2 [in Equiv]
a₂:204 [in Smallstep]
a₂:206 [in Smallstep]
a₂:212 [in Smallstep]
a₂:214 [in Smallstep]
a₂:223 [in Smallstep]
a₂:225 [in Smallstep]
a₂:231 [in Smallstep]
a₂:233 [in Smallstep]
a₂:46 [in Equiv]
a₂:48 [in Equiv]
a₃:49 [in Equiv]
a:10 [in Hoare]
a:10 [in PE]
a:106 [in Hoare]
a:106 [in Equiv]
a:108 [in Hoare]
A:108 [in LibTactics]
a:11 [in HoareAsLogic]
A:112 [in LibTactics]
a:115 [in Equiv]
A:117 [in UseAuto]
a:135 [in Equiv]
A:14 [in PE]
a:143 [in Equiv]
A:16 [in LibTactics]
a:162 [in Hoare]
A:17 [in LibTactics]
a:18 [in PE]
A:20 [in LibTactics]
a:208 [in UseAuto]
A:21 [in References]
a:21 [in PE]
a:211 [in UseAuto]
a:216 [in UseAuto]
A:237 [in References]
A:25 [in LibTactics]
A:27 [in LibTactics]
A:28 [in References]
a:29 [in LibTactics]
A:3 [in LibTactics]
a:30 [in LibTactics]
a:30 [in PE]
A:31 [in References]
a:31 [in LibTactics]
a:317 [in Hoare]
a:32 [in LibTactics]
a:42 [in UseAuto]
a:43 [in UseAuto]
a:43 [in Equiv]
a:44 [in UseTactics]
a:44 [in Equiv]
a:46 [in UseTactics]
a:46 [in PE]
a:51 [in Hoare2]
a:51 [in UseTactics]
a:53 [in Hoare2]
a:55 [in Hoare]
a:60 [in Hoare]
a:63 [in Equiv]
a:64 [in Hoare]
a:68 [in Hoare]
a:7 [in Hoare2]
a:72 [in Hoare2]
a:73 [in Typechecking]
a:74 [in Hoare2]
a:76 [in Hoare2]
a:79 [in Hoare2]
A:8 [in PE]
a:84 [in UseTactics]
a:85 [in UseTactics]
a:92 [in Equiv]
a:95 [in Hoare2]
a:97 [in Equiv]

B

btrans:93 [in Equiv]
b':66 [in Equiv]
b':70 [in Equiv]
b':76 [in Equiv]
b':86 [in Equiv]
b₁':238 [in Smallstep]
b₁':240 [in Smallstep]
b₁':263 [in Smallstep]
b₁':295 [in Smallstep]
b₁:148 [in PE]
b₁:154 [in PE]
b₁:161 [in PE]
b₁:223 [in PE]
b₁:230 [in PE]
b₁:237 [in Smallstep]
b₁:238 [in PE]
b₁:239 [in Smallstep]
b₁:245 [in PE]
b₁:250 [in PE]
b₁:258 [in PE]
b₁:262 [in Smallstep]
b₁:264 [in PE]
b₁:269 [in PE]
b₁:273 [in Smallstep]
b₁:276 [in PE]
b₁:294 [in Smallstep]
b₁:305 [in Smallstep]
b₁:336 [in PE]
b₁:342 [in PE]
b₁:346 [in PE]
b₁:352 [in PE]
b₁:4 [in Equiv]
b₁:51 [in Equiv]
b₁:53 [in Equiv]
b₂':243 [in Smallstep]
b₂:241 [in Smallstep]
b₂:242 [in Smallstep]
b₂:244 [in Smallstep]
b₂:5 [in Equiv]
b₂:52 [in Equiv]
b₂:54 [in Equiv]
b₃:55 [in Equiv]
b:100 [in Equiv]
B:107 [in LibTactics]
b:108 [in Equiv]
b:110 [in Hoare]
b:112 [in Hoare]
B:113 [in LibTactics]
b:116 [in Hoare]
b:135 [in Hoare]
b:140 [in Hoare]
b:143 [in Hoare]
b:149 [in Hoare]
b:15 [in Hoare2]
b:153 [in Equiv]
b:158 [in Equiv]
b:161 [in Equiv]
b:164 [in Hoare]
b:167 [in Equiv]
b:183 [in Hoare]
b:188 [in Hoare]
b:19 [in Equiv]
b:19 [in HoareAsLogic]
b:191 [in Hoare]
b:197 [in Hoare]
b:22 [in Equiv]
b:220 [in Hoare]
b:225 [in Hoare]
b:228 [in Hoare]
b:234 [in Hoare]
b:25 [in Equiv]
b:25 [in HoareAsLogic]
b:278 [in Hoare]
b:28 [in Equiv]
b:283 [in Hoare]
b:286 [in Hoare]
b:292 [in Hoare]
b:295 [in Hoare]
b:298 [in Hoare]
b:30 [in Equiv]
b:300 [in Hoare]
b:302 [in Hoare]
b:310 [in Hoare]
b:313 [in Hoare]
b:336 [in Hoare]
b:34 [in Equiv]
b:340 [in Hoare]
b:36 [in Equiv]
b:45 [in UseTactics]
b:47 [in UseTactics]
b:49 [in PE]
b:50 [in Equiv]
b:52 [in Hoare2]
b:52 [in UseTactics]
b:52 [in PE]
b:54 [in Hoare2]
b:54 [in PE]
b:65 [in Equiv]
b:67 [in UseTactics]
b:68 [in HoareAsLogic]
b:69 [in Equiv]
b:72 [in Typechecking]
b:73 [in Hoare2]
b:75 [in Hoare2]
b:75 [in Equiv]
b:77 [in Hoare2]
b:80 [in Hoare2]
b:85 [in Equiv]
b:9 [in Hoare2]
b:94 [in Equiv]

C

ctrans:95 [in Equiv]
c'':220 [in PE]
c'':227 [in PE]
c'':234 [in PE]
c'':243 [in PE]
c'':372 [in PE]
c'':382 [in PE]
c'':391 [in PE]
c'':399 [in PE]
c':16 [in Types]
c':176 [in PE]
c':186 [in PE]
c':188 [in Equiv]
c':192 [in PE]
c':198 [in PE]
c':370 [in PE]
c':380 [in PE]
c':390 [in PE]
c':398 [in PE]
c':406 [in PE]
c':68 [in Equiv]
c':72 [in Equiv]
c':78 [in Equiv]
c₁':144 [in PE]
c₁':151 [in PE]
c₁':164 [in PE]
c₁':218 [in PE]
c₁':226 [in PE]
c₁':241 [in PE]
c₁':252 [in PE]
c₁':256 [in Smallstep]
c₁':260 [in PE]
c₁':271 [in PE]
c₁':278 [in PE]
c₁':288 [in Smallstep]
c₁':309 [in Smallstep]
c₁':82 [in Equiv]
c₁':88 [in Equiv]
c₁:11 [in Equiv]
c₁:117 [in Hoare]
c₁:128 [in Hoare]
c₁:136 [in Hoare]
c₁:141 [in Hoare]
c₁:142 [in PE]
c₁:146 [in Equiv]
c₁:149 [in PE]
c₁:154 [in Equiv]
c₁:155 [in PE]
c₁:159 [in Equiv]
c₁:162 [in PE]
c₁:169 [in Equiv]
c₁:17 [in Equiv]
c₁:176 [in Hoare]
c₁:181 [in Equiv]
c₁:184 [in Hoare]
c₁:189 [in Hoare]
c₁:20 [in Equiv]
c₁:20 [in HoareAsLogic]
c₁:213 [in Hoare]
c₁:216 [in PE]
c₁:221 [in Hoare]
c₁:224 [in PE]
c₁:226 [in Hoare]
c₁:23 [in Equiv]
c₁:231 [in PE]
c₁:239 [in PE]
c₁:246 [in PE]
c₁:251 [in PE]
c₁:255 [in Smallstep]
c₁:259 [in PE]
c₁:26 [in Equiv]
c₁:264 [in Smallstep]
c₁:265 [in PE]
c₁:267 [in Smallstep]
c₁:268 [in Hoare]
c₁:270 [in Smallstep]
c₁:270 [in PE]
c₁:273 [in Hoare]
c₁:274 [in Smallstep]
c₁:277 [in PE]
c₁:279 [in Hoare]
c₁:284 [in Hoare]
c₁:287 [in Smallstep]
c₁:296 [in Smallstep]
c₁:299 [in Smallstep]
c₁:302 [in Smallstep]
c₁:306 [in Smallstep]
c₁:308 [in Smallstep]
c₁:313 [in Smallstep]
c₁:327 [in PE]
c₁:331 [in Hoare]
c₁:337 [in Hoare]
c₁:337 [in PE]
c₁:343 [in PE]
c₁:348 [in PE]
c₁:353 [in PE]
c₁:38 [in Equiv]
c₁:52 [in Hoare]
c₁:57 [in Equiv]
c₁:59 [in Equiv]
c₁:66 [in HoareAsLogic]
c₁:7 [in Equiv]
c₁:81 [in Equiv]
c₁:87 [in Equiv]
c₂'':254 [in PE]
c₂'':262 [in PE]
c₂':145 [in PE]
c₂':157 [in PE]
c₂':165 [in PE]
c₂':219 [in PE]
c₂':233 [in PE]
c₂':242 [in PE]
c₂':253 [in PE]
c₂':261 [in PE]
c₂':272 [in PE]
c₂':279 [in PE]
c₂':315 [in Smallstep]
c₂':84 [in Equiv]
c₂':90 [in Equiv]
c₂:118 [in Hoare]
c₂:12 [in Equiv]
c₂:129 [in Hoare]
c₂:137 [in Hoare]
c₂:142 [in Hoare]
c₂:143 [in PE]
c₂:147 [in Equiv]
c₂:150 [in PE]
c₂:155 [in Equiv]
c₂:156 [in PE]
c₂:160 [in Equiv]
c₂:163 [in PE]
c₂:170 [in Equiv]
c₂:177 [in Hoare]
c₂:18 [in Equiv]
c₂:182 [in Equiv]
c₂:185 [in Hoare]
c₂:190 [in Hoare]
c₂:21 [in Equiv]
c₂:21 [in HoareAsLogic]
c₂:214 [in Hoare]
c₂:217 [in PE]
c₂:222 [in Hoare]
c₂:225 [in PE]
c₂:227 [in Hoare]
c₂:232 [in PE]
c₂:24 [in Equiv]
c₂:240 [in PE]
c₂:258 [in Smallstep]
c₂:260 [in Smallstep]
c₂:265 [in Smallstep]
c₂:268 [in Smallstep]
c₂:269 [in Hoare]
c₂:27 [in Equiv]
c₂:271 [in Smallstep]
c₂:274 [in Hoare]
c₂:280 [in Hoare]
c₂:285 [in Hoare]
c₂:290 [in Smallstep]
c₂:292 [in Smallstep]
c₂:297 [in Smallstep]
c₂:300 [in Smallstep]
c₂:303 [in Smallstep]
c₂:310 [in Smallstep]
c₂:314 [in Smallstep]
c₂:328 [in PE]
c₂:332 [in Hoare]
c₂:338 [in Hoare]
c₂:338 [in PE]
c₂:344 [in PE]
c₂:39 [in Equiv]
c₂:53 [in Hoare]
c₂:58 [in Equiv]
c₂:60 [in Equiv]
c₂:67 [in HoareAsLogic]
c₂:8 [in Equiv]
c₂:83 [in Equiv]
c₂:89 [in Equiv]
c₃:40 [in Equiv]
c₃:61 [in Equiv]
c:1 [in UseTactics]
c:101 [in Hoare]
c:103 [in Equiv]
c:105 [in Hoare]
c:11 [in UseTactics]
c:110 [in Equiv]
c:112 [in Equiv]
c:119 [in PE]
c:13 [in HoareAsLogic]
c:145 [in Hoare]
c:15 [in Types]
c:15 [in Equiv]
c:150 [in Hoare]
c:152 [in Hoare]
c:159 [in Hoare]
c:16 [in Equiv]
c:163 [in Equiv]
c:165 [in Hoare]
c:166 [in PE]
c:168 [in Equiv]
c:168 [in PE]
c:170 [in PE]
c:172 [in PE]
c:174 [in PE]
c:183 [in PE]
c:185 [in Equiv]
c:186 [in Equiv]
c:187 [in Equiv]
c:189 [in PE]
c:193 [in Hoare]
c:195 [in PE]
c:198 [in Hoare]
c:2 [in HoareAsLogic]
c:200 [in Hoare]
c:203 [in Norm]
c:21 [in UseTactics]
c:22 [in UseTactics]
c:230 [in Hoare]
c:235 [in Hoare]
c:240 [in Hoare]
c:241 [in Norm]
c:243 [in Norm]
c:247 [in Hoare]
c:247 [in Norm]
c:252 [in Norm]
c:254 [in Norm]
c:259 [in Norm]
c:26 [in UseTactics]
c:26 [in HoareAsLogic]
c:265 [in Norm]
c:270 [in Norm]
c:280 [in PE]
c:282 [in PE]
c:284 [in PE]
c:286 [in PE]
c:288 [in Hoare]
c:288 [in PE]
c:29 [in Equiv]
c:290 [in PE]
c:292 [in PE]
c:293 [in Hoare]
c:294 [in PE]
c:296 [in Hoare]
c:296 [in PE]
c:298 [in PE]
c:30 [in UseTactics]
c:300 [in PE]
c:302 [in PE]
c:304 [in Hoare]
c:304 [in PE]
c:306 [in PE]
c:308 [in PE]
c:31 [in Equiv]
c:310 [in PE]
c:312 [in PE]
c:314 [in PE]
c:316 [in PE]
c:318 [in PE]
c:321 [in Hoare]
c:325 [in Hoare]
c:33 [in HoareAsLogic]
c:341 [in Hoare]
c:35 [in Equiv]
c:356 [in PE]
c:36 [in Hoare]
c:360 [in PE]
c:37 [in Equiv]
c:387 [in PE]
c:39 [in HoareAsLogic]
c:395 [in PE]
c:403 [in PE]
c:42 [in Hoare]
c:44 [in HoareAsLogic]
c:46 [in Hoare]
c:48 [in HoareAsLogic]
c:50 [in HoareAsLogic]
c:53 [in UseTactics]
c:53 [in HoareAsLogic]
c:55 [in HoareAsLogic]
c:56 [in Equiv]
c:59 [in HoareAsLogic]
c:61 [in HoareAsLogic]
c:66 [in UseAuto]
c:67 [in Equiv]
c:69 [in HoareAsLogic]
c:70 [in UseAuto]
c:71 [in Equiv]
c:72 [in HoareAsLogic]
c:74 [in UseAuto]
c:76 [in Hoare]
c:77 [in Equiv]
c:78 [in UseAuto]
c:78 [in Hoare2]
c:80 [in Hoare]
c:81 [in Hoare2]
c:82 [in UseAuto]
c:85 [in Hoare]
c:86 [in UseTactics]
c:89 [in Hoare]
c:90 [in Hoare2]
c:90 [in UseTactics]
c:93 [in Hoare]
c:96 [in Equiv]
c:97 [in Hoare]

D

dec:28 [in Hoare2]
dec:30 [in Hoare2]
dec:35 [in Hoare2]
dec:37 [in Hoare2]
dec:44 [in Hoare2]
dec:46 [in Hoare2]
d₁:11 [in Hoare2]
d₁:4 [in Hoare2]
d₂:13 [in Hoare2]
d₂:5 [in Hoare2]
d:120 [in UseAuto]
D:14 [in LibTactics]
d:15 [in HoareAsLogic]
d:17 [in Hoare2]
D:18 [in LibTactics]
d:20 [in Hoare2]
d:21 [in Hoare2]
d:240 [in References]
d:25 [in Hoare2]
d:32 [in Hoare2]
d:39 [in Hoare2]
d:42 [in Hoare2]
d:54 [in UseTactics]

E

env:225 [in Norm]
env:228 [in Norm]
env:260 [in Norm]
env:271 [in Norm]
eqb:15 [in PE]
eqb:9 [in PE]
e':350 [in Smallstep]
e':351 [in Smallstep]
e':352 [in Smallstep]
e:204 [in Norm]
e:248 [in Norm]
e:253 [in Norm]
e:255 [in Norm]
e:266 [in Norm]
e:278 [in LibTactics]
e:279 [in LibTactics]
e:280 [in LibTactics]
e:281 [in LibTactics]
e:43 [in StlcProp]
e:55 [in UseTactics]

F

F':13 [in UseAuto]
F':15 [in UseAuto]
F':31 [in UseAuto]
F':33 [in UseAuto]
F₁:34 [in UseAuto]
F₂:35 [in UseAuto]
F₃:36 [in UseAuto]
F:10 [in UseAuto]
F:12 [in UseAuto]
f:126 [in LibTactics]
f:129 [in LibTactics]
f:134 [in LibTactics]
F:14 [in UseAuto]
f:141 [in LibTactics]
f:150 [in LibTactics]
f:161 [in LibTactics]
f:174 [in LibTactics]
f:188 [in Sub]
F:19 [in UseAuto]
f:192 [in Sub]
f:196 [in UseAuto]
f:202 [in UseAuto]
f:209 [in UseAuto]
f:212 [in UseAuto]
F:27 [in UseAuto]
f:27 [in Hoare]
F:30 [in UseAuto]
f:31 [in Hoare]
F:32 [in UseAuto]
f:37 [in UseAuto]
f:39 [in UseAuto]
f:48 [in UseAuto]
f:50 [in UseTactics]
f:56 [in UseTactics]

G

Gamma':115 [in Records]
Gamma':118 [in Sub]
Gamma':14 [in StlcProp]
Gamma':141 [in Norm]
Gamma':172 [in RecordSub]
Gamma':172 [in MoreStlc]
Gamma':209 [in References]
Gamma':75 [in StlcProp]
Gamma':88 [in Norm]
Gamma':95 [in StlcProp]
Gamma:101 [in Sub]
Gamma:103 [in Records]
Gamma:105 [in Sub]
Gamma:109 [in MoreStlc]
Gamma:110 [in Sub]
Gamma:111 [in RecordSub]
Gamma:112 [in MoreStlc]
Gamma:114 [in RecordSub]
Gamma:114 [in Records]
Gamma:117 [in Sub]
Gamma:118 [in Records]
Gamma:119 [in MoreStlc]
Gamma:121 [in RecordSub]
Gamma:121 [in Records]
Gamma:121 [in Sub]
Gamma:122 [in MoreStlc]
Gamma:124 [in RecordSub]
Gamma:124 [in MoreStlc]
Gamma:124 [in Sub]
Gamma:126 [in MoreStlc]
Gamma:128 [in References]
Gamma:128 [in MoreStlc]
Gamma:129 [in RecordSub]
Gamma:13 [in Typechecking]
Gamma:13 [in StlcProp]
Gamma:131 [in References]
Gamma:131 [in MoreStlc]
Gamma:133 [in RecordSub]
Gamma:134 [in RecordSub]
Gamma:136 [in MoreStlc]
Gamma:138 [in References]
Gamma:140 [in RecordSub]
Gamma:140 [in MoreStlc]
Gamma:140 [in Norm]
Gamma:141 [in References]
Gamma:143 [in References]
Gamma:144 [in MoreStlc]
Gamma:145 [in References]
Gamma:147 [in References]
Gamma:150 [in References]
Gamma:150 [in RecordSub]
Gamma:150 [in Norm]
Gamma:153 [in MoreStlc]
Gamma:155 [in References]
Gamma:155 [in MoreStlc]
Gamma:156 [in References]
Gamma:158 [in References]
Gamma:159 [in MoreStlc]
Gamma:160 [in RecordSub]
Gamma:161 [in References]
Gamma:164 [in References]
Gamma:167 [in MoreStlc]
Gamma:17 [in StlcProp]
Gamma:171 [in RecordSub]
Gamma:171 [in MoreStlc]
Gamma:175 [in RecordSub]
Gamma:175 [in MoreStlc]
Gamma:178 [in RecordSub]
Gamma:178 [in MoreStlc]
Gamma:184 [in Norm]
Gamma:20 [in StlcProp]
Gamma:208 [in References]
Gamma:213 [in References]
Gamma:217 [in References]
Gamma:228 [in References]
Gamma:244 [in Norm]
Gamma:25 [in Typechecking]
Gamma:26 [in StlcProp]
Gamma:267 [in Norm]
Gamma:28 [in Typechecking]
Gamma:39 [in Typechecking]
Gamma:42 [in StlcProp]
Gamma:45 [in Stlc]
Gamma:48 [in Stlc]
Gamma:48 [in Sub]
Gamma:51 [in Sub]
Gamma:54 [in Norm]
Gamma:55 [in Stlc]
Gamma:57 [in Norm]
Gamma:58 [in Stlc]
Gamma:58 [in Sub]
Gamma:59 [in Stlc]
Gamma:61 [in Sub]
Gamma:62 [in Sub]
Gamma:63 [in Typechecking]
Gamma:64 [in Stlc]
Gamma:64 [in Norm]
Gamma:66 [in Typechecking]
Gamma:67 [in Norm]
Gamma:67 [in Sub]
Gamma:68 [in Norm]
Gamma:68 [in Sub]
Gamma:69 [in Sub]
Gamma:70 [in StlcProp]
Gamma:72 [in UseTactics]
Gamma:73 [in Norm]
Gamma:73 [in Records]
Gamma:74 [in StlcProp]
Gamma:74 [in Norm]
Gamma:79 [in Norm]
Gamma:83 [in Norm]
Gamma:83 [in Sub]
Gamma:87 [in Norm]
Gamma:9 [in Typechecking]
Gamma:90 [in Sub]
Gamma:91 [in Norm]
Gamma:94 [in StlcProp]
Gamma:94 [in UseTactics]
Gamma:94 [in Norm]
Gamma:95 [in Sub]
G:102 [in UseTactics]
g:197 [in UseAuto]
g:203 [in UseAuto]
g:210 [in UseAuto]
g:213 [in UseAuto]
g:40 [in UseAuto]
g:49 [in UseAuto]
G:99 [in UseTactics]

H

HT:199 [in Sub]
h:198 [in UseAuto]
h:204 [in UseAuto]
h:214 [in UseAuto]

I

ids:100 [in PE]
ids:109 [in PE]
ids:113 [in PE]
ids:117 [in PE]
ids:125 [in PE]
ids:96 [in PE]
i₁:89 [in RecordSub]
i₂:90 [in RecordSub]
i:10 [in Records]
i:101 [in RecordSub]
i:108 [in Records]
i:12 [in RecordSub]
i:125 [in RecordSub]
i:135 [in RecordSub]
i:147 [in RecordSub]
i:15 [in Records]
i:17 [in RecordSub]
i:18 [in Records]
i:189 [in Sub]
i:191 [in Sub]
i:193 [in Smallstep]
i:193 [in Sub]
i:195 [in Sub]
i:20 [in RecordSub]
i:23 [in Records]
i:248 [in Smallstep]
i:252 [in Smallstep]
i:280 [in Smallstep]
i:284 [in Smallstep]
i:33 [in RecordSub]
i:334 [in Smallstep]
i:36 [in RecordSub]
i:36 [in Records]
i:39 [in Records]
i:40 [in RecordSub]
i:57 [in Records]
i:58 [in RecordSub]
i:59 [in Records]
i:60 [in RecordSub]
i:61 [in Records]
i:62 [in RecordSub]
i:65 [in Records]
i:66 [in RecordSub]
i:69 [in Records]
i:7 [in RecordSub]
i:81 [in RecordSub]
i:84 [in RecordSub]
i:86 [in Records]
i:90 [in Records]
i:96 [in RecordSub]
i:98 [in Records]

J

j:190 [in Sub]
j:194 [in Sub]

K

k:189 [in Norm]
k:417 [in PE]
k:431 [in PE]
k:442 [in PE]
k:448 [in PE]
k:53 [in UseAuto]
k:55 [in UseAuto]
k:57 [in UseAuto]
k:59 [in UseAuto]
k:60 [in UseAuto]
k:62 [in UseAuto]
k:63 [in UseAuto]

L

Label:410 [in PE]
l'':435 [in PE]
l':433 [in PE]
l':451 [in PE]
l':462 [in PE]
l':473 [in PE]
l₁:177 [in Equiv]
l₁:38 [in References]
l₂:178 [in Equiv]
l₂:39 [in References]
l:104 [in References]
l:11 [in References]
l:11 [in PE]
l:110 [in References]
l:118 [in UseAuto]
l:133 [in PE]
l:137 [in PE]
l:157 [in References]
l:176 [in References]
l:19 [in PE]
l:190 [in Norm]
l:192 [in References]
l:195 [in References]
l:207 [in PE]
l:211 [in PE]
l:226 [in References]
l:238 [in References]
l:24 [in References]
l:326 [in PE]
l:34 [in References]
l:35 [in References]
L:415 [in PE]
L:420 [in PE]
l:421 [in PE]
L:423 [in PE]
l:428 [in PE]
l:430 [in PE]
L:440 [in PE]
L:445 [in PE]
L:452 [in PE]
L:456 [in PE]
l:460 [in PE]
L:467 [in PE]
l:471 [in PE]
l:84 [in PE]
l:88 [in PE]

M

m:107 [in UseTactics]
m:150 [in UseAuto]
m:153 [in UseAuto]
m:21 [in UseAuto]
m:33 [in UseTactics]
m:338 [in Smallstep]
m:342 [in Smallstep]
m:346 [in Smallstep]
m:35 [in UseTactics]
m:37 [in UseTactics]
m:47 [in Hoare2]
m:49 [in Hoare2]
m:55 [in Hoare2]
m:57 [in Hoare2]
m:59 [in Hoare2]
m:60 [in Hoare2]
m:63 [in Hoare]
m:64 [in Hoare2]
m:67 [in Hoare2]
m:68 [in Hoare2]
m:69 [in Hoare2]
m:70 [in Hoare2]
m:71 [in Hoare2]
m:72 [in Hoare]
m:79 [in UseTactics]
m:8 [in UseAuto]
m:81 [in UseTactics]
m:83 [in UseTactics]

N

ni:136 [in Equiv]
nxs:195 [in Norm]
n':379 [in PE]
n':386 [in PE]
n₁:132 [in PE]
n₁:195 [in LibTactics]
n₁:206 [in PE]
n₁:332 [in PE]
n₁:354 [in PE]
n₁:43 [in MoreStlc]
n₁:71 [in References]
n₂:196 [in LibTactics]
n₂:333 [in PE]
n₂:355 [in PE]
n₂:44 [in MoreStlc]
n₂:72 [in References]
n:10 [in References]
n:100 [in UseAuto]
n:103 [in UseAuto]
n:103 [in Hoare2]
n:104 [in Hoare2]
n:105 [in Hoare2]
n:106 [in UseAuto]
n:106 [in UseTactics]
n:107 [in Hoare]
n:109 [in UseAuto]
n:109 [in Hoare]
n:11 [in UseAuto]
n:121 [in UseAuto]
n:123 [in References]
n:123 [in MoreStlc]
n:125 [in Equiv]
n:126 [in Hoare]
n:138 [in PE]
n:142 [in References]
n:144 [in Equiv]
n:149 [in UseAuto]
n:15 [in MoreStlc]
n:151 [in Smallstep]
n:152 [in UseAuto]
n:154 [in Smallstep]
n:157 [in Smallstep]
n:159 [in Smallstep]
n:164 [in Smallstep]
n:174 [in Hoare]
n:189 [in Smallstep]
n:19 [in References]
n:194 [in Norm]
n:197 [in Sub]
n:197 [in LibTactics]
n:20 [in UseAuto]
n:211 [in Hoare]
n:212 [in PE]
n:22 [in References]
n:238 [in Hoare]
n:24 [in UseAuto]
n:253 [in Smallstep]
n:256 [in Hoare]
n:266 [in Hoare]
n:27 [in PE]
n:28 [in UseAuto]
n:285 [in Smallstep]
n:29 [in UseAuto]
n:29 [in References]
n:3 [in UseAuto]
n:31 [in Smallstep]
n:32 [in References]
n:32 [in UseTactics]
n:320 [in Smallstep]
n:322 [in Smallstep]
n:325 [in Smallstep]
n:325 [in PE]
n:331 [in Smallstep]
n:337 [in Smallstep]
n:339 [in PE]
n:34 [in UseTactics]
n:341 [in Smallstep]
n:345 [in Smallstep]
n:345 [in PE]
n:359 [in PE]
n:36 [in UseTactics]
n:363 [in PE]
n:375 [in PE]
n:385 [in PE]
n:39 [in MoreStlc]
n:394 [in PE]
n:4 [in UseAuto]
n:402 [in PE]
n:42 [in MoreStlc]
n:48 [in Hoare2]
n:50 [in Hoare2]
n:55 [in Smallstep]
n:57 [in MoreStlc]
n:59 [in References]
n:65 [in UseAuto]
n:65 [in References]
n:65 [in PE]
n:68 [in PE]
n:69 [in UseTactics]
n:7 [in UseAuto]
n:7 [in PE]
n:70 [in UseTactics]
n:71 [in Smallstep]
n:71 [in UseTactics]
n:73 [in PE]
n:74 [in Smallstep]
n:77 [in PE]
n:78 [in UseTactics]
n:8 [in Smallstep]
n:80 [in UseTactics]
n:82 [in Hoare2]
n:82 [in UseTactics]
n:85 [in Hoare2]
n:86 [in Smallstep]
n:86 [in Hoare2]
n:87 [in Hoare2]
n:88 [in Hoare2]
n:9 [in Hoare]
n:93 [in References]
n:99 [in Hoare2]

P

pe_st:470 [in PE]
pe_st':466 [in PE]
pe_st:459 [in PE]
pe_l:454 [in PE]
pe_st':450 [in PE]
pe_st:447 [in PE]
pe_st:441 [in PE]
pe_st':405 [in PE]
pe_st:404 [in PE]
pe_st':397 [in PE]
pe_st:396 [in PE]
pe_st':389 [in PE]
pe_st:388 [in PE]
pe_st':381 [in PE]
pe_st':371 [in PE]
pe_st₂:368 [in PE]
pe_st₁:367 [in PE]
pe_st₂:365 [in PE]
pe_st₁:364 [in PE]
pe_st'':275 [in PE]
pe_st':274 [in PE]
pe_st:273 [in PE]
pe_st'':268 [in PE]
pe_st':267 [in PE]
pe_st:266 [in PE]
pe_st:263 [in PE]
pe_st'':257 [in PE]
pe_st':256 [in PE]
pe_st:255 [in PE]
pe_st'':249 [in PE]
pe_st':248 [in PE]
pe_st:247 [in PE]
pe_st:244 [in PE]
pe_st₂:237 [in PE]
pe_st₁:236 [in PE]
pe_st:235 [in PE]
pe_st':229 [in PE]
pe_st:228 [in PE]
pe_st':222 [in PE]
pe_st:221 [in PE]
pe_st'':215 [in PE]
pe_st':214 [in PE]
pe_st:213 [in PE]
pe_st:208 [in PE]
pe_st:204 [in PE]
pe_st:203 [in PE]
pe_st':197 [in PE]
pe_st:196 [in PE]
pe_st':191 [in PE]
pe_st:190 [in PE]
pe_st':185 [in PE]
pe_st:184 [in PE]
pe_st':177 [in PE]
pe_st₂:160 [in PE]
pe_st₁:159 [in PE]
pe_st:158 [in PE]
pe_st':153 [in PE]
pe_st:152 [in PE]
pe_st':147 [in PE]
pe_st:146 [in PE]
pe_st'':141 [in PE]
pe_st':140 [in PE]
pe_st:139 [in PE]
pe_st:134 [in PE]
pe_st:130 [in PE]
pe_st:129 [in PE]
pe_st:124 [in PE]
pe_st:116 [in PE]
pe_st:112 [in PE]
pe_st:108 [in PE]
pe_st₂:106 [in PE]
pe_st₁:105 [in PE]
pe_st₂:103 [in PE]
pe_st₁:102 [in PE]
pe_st:99 [in PE]
pe_st:95 [in PE]
pe_st₂:93 [in PE]
pe_st₁:92 [in PE]
pe_st₂:91 [in PE]
pe_st₁:90 [in PE]
pe_st₂:82 [in PE]
pe_st₁:81 [in PE]
pe_st₂:79 [in PE]
pe_st₁:78 [in PE]
pe_st:75 [in PE]
pe_st:71 [in PE]
pe_st:66 [in PE]
pe_st:63 [in PE]
pe_st:60 [in PE]
pe_st:56 [in PE]
pe_st:53 [in PE]
pe_st:48 [in PE]
pe_st:45 [in PE]
pe_st:43 [in PE]
pe_st:41 [in PE]
pe_st:38 [in PE]
pe_st:32 [in PE]
pe_st:29 [in PE]
pe_st:25 [in PE]
pe_st:20 [in PE]
pe_st:5 [in PE]
pe_st:1 [in PE]
P':157 [in Hoare]
P':245 [in Hoare]
P':31 [in HoareAsLogic]
P':319 [in Hoare]
P':38 [in HoareAsLogic]
P':63 [in HoareAsLogic]
P':74 [in Hoare]
P':82 [in Hoare]
P':87 [in Hoare]
P':91 [in Hoare]
P':92 [in Hoare2]
P':95 [in Hoare]
P':99 [in Hoare]
P₁:10 [in Hoare2]
P₂:12 [in Hoare2]
P:1 [in UseAuto]
P:1 [in HoareAsLogic]
P:102 [in Hoare]
P:105 [in LibTactics]
P:109 [in LibTactics]
P:114 [in Hoare]
P:114 [in LibTactics]
P:12 [in HoareAsLogic]
P:133 [in Sub]
P:148 [in UseAuto]
P:151 [in UseAuto]
P:151 [in Hoare]
P:156 [in Hoare]
P:16 [in UseAuto]
P:16 [in Hoare2]
P:16 [in UseTactics]
P:163 [in Hoare]
P:17 [in HoareAsLogic]
P:19 [in Hoare2]
P:190 [in LibTactics]
p:191 [in LibTactics]
P:192 [in UseAuto]
P:198 [in LibTactics]
P:199 [in Hoare]
P:199 [in LibTactics]
P:22 [in UseAuto]
P:220 [in Sub]
P:239 [in Hoare]
P:24 [in LibTactics]
P:24 [in HoareAsLogic]
P:244 [in Hoare]
P:25 [in UseAuto]
P:253 [in Hoare]
P:277 [in LibTactics]
P:29 [in HoareAsLogic]
P:303 [in Hoare]
P:309 [in Hoare]
P:312 [in Hoare]
P:318 [in Hoare]
P:322 [in Hoare]
P:328 [in Hoare]
p:332 [in Smallstep]
P:333 [in Hoare]
P:334 [in Hoare]
p:335 [in Smallstep]
p:339 [in Smallstep]
P:339 [in Hoare]
p:343 [in Smallstep]
p:347 [in Smallstep]
P:35 [in Hoare]
P:36 [in HoareAsLogic]
P:38 [in Hoare2]
P:40 [in Hoare]
P:41 [in HoareAsLogic]
p:424 [in PE]
P:43 [in Hoare2]
P:44 [in UseAuto]
P:44 [in Hoare]
p:453 [in PE]
p:457 [in PE]
P:46 [in UseAuto]
p:468 [in PE]
P:48 [in Hoare]
P:49 [in Hoare]
P:49 [in HoareAsLogic]
P:5 [in UseAuto]
P:5 [in Hoare]
P:51 [in UseAuto]
P:52 [in UseAuto]
P:52 [in HoareAsLogic]
P:54 [in UseAuto]
P:55 [in LibTactics]
P:56 [in UseAuto]
P:56 [in Hoare]
p:56 [in Hoare2]
P:57 [in LibTactics]
P:58 [in UseAuto]
p:58 [in Hoare2]
P:58 [in UseTactics]
P:6 [in UseTactics]
P:61 [in UseAuto]
P:61 [in Hoare]
P:62 [in Hoare]
P:62 [in UseTactics]
P:62 [in LibTactics]
P:64 [in HoareAsLogic]
P:65 [in Hoare]
P:68 [in LibTactics]
P:69 [in Hoare]
P:71 [in HoareAsLogic]
P:73 [in Hoare]
P:76 [in LibTactics]
P:77 [in Hoare]
P:8 [in Hoare]
P:8 [in HoareAsLogic]
P:81 [in Hoare]
P:86 [in Hoare]
P:86 [in LibTactics]
P:89 [in Hoare2]
P:9 [in UseAuto]
P:90 [in Hoare]
P:94 [in Hoare]
P:96 [in Hoare2]
P:98 [in Hoare]
P:98 [in LibTactics]

Q

Q':104 [in Hoare]
Q':32 [in HoareAsLogic]
Q':324 [in Hoare]
Q':43 [in HoareAsLogic]
Q':79 [in Hoare]
Q':84 [in Hoare]
Q:100 [in Hoare]
Q:103 [in Hoare]
Q:106 [in LibTactics]
Q:110 [in LibTactics]
Q:115 [in Hoare]
Q:115 [in LibTactics]
Q:14 [in Hoare2]
Q:14 [in HoareAsLogic]
Q:153 [in Hoare]
Q:158 [in Hoare]
Q:160 [in Hoare]
Q:166 [in Hoare]
Q:17 [in UseAuto]
Q:17 [in UseTactics]
Q:18 [in Hoare2]
Q:18 [in HoareAsLogic]
Q:2 [in UseAuto]
Q:200 [in LibTactics]
Q:201 [in Hoare]
Q:22 [in Hoare2]
Q:23 [in UseAuto]
Q:241 [in Hoare]
Q:246 [in Hoare]
Q:249 [in Hoare]
Q:251 [in Hoare]
Q:26 [in UseAuto]
Q:3 [in Hoare2]
Q:3 [in HoareAsLogic]
Q:30 [in HoareAsLogic]
Q:305 [in Hoare]
Q:311 [in Hoare]
Q:314 [in Hoare]
Q:315 [in Hoare]
Q:320 [in Hoare]
Q:323 [in Hoare]
Q:329 [in Hoare]
Q:335 [in Hoare]
Q:37 [in Hoare]
Q:37 [in HoareAsLogic]
Q:41 [in Hoare]
Q:42 [in HoareAsLogic]
Q:45 [in Hoare]
Q:50 [in Hoare]
Q:51 [in HoareAsLogic]
Q:54 [in HoareAsLogic]
Q:56 [in LibTactics]
Q:56 [in HoareAsLogic]
Q:58 [in Hoare]
Q:6 [in UseAuto]
Q:6 [in Hoare]
Q:60 [in HoareAsLogic]
Q:62 [in HoareAsLogic]
Q:65 [in HoareAsLogic]
Q:7 [in UseTactics]
Q:70 [in HoareAsLogic]
Q:73 [in HoareAsLogic]
Q:75 [in Hoare]
Q:78 [in Hoare]
Q:8 [in Hoare2]
Q:83 [in Hoare]
Q:88 [in Hoare]
Q:9 [in HoareAsLogic]
Q:91 [in Hoare2]
Q:92 [in Hoare]
Q:93 [in Hoare2]
Q:96 [in Hoare]
Q:97 [in Hoare2]

R

R:122 [in Smallstep]
R:130 [in Smallstep]
R:134 [in Smallstep]
R:141 [in Smallstep]
R:16 [in HoareAsLogic]
R:18 [in UseAuto]
R:18 [in UseTactics]
R:25 [in Smallstep]
R:256 [in References]
r:272 [in Hoare]
r:277 [in Hoare]
r:282 [in Hoare]
r:291 [in Hoare]
r:307 [in Hoare]
R:330 [in Hoare]
R:45 [in Smallstep]
R:51 [in Hoare]

S

Si:103 [in RecordSub]
Sr₂:87 [in RecordSub]
ss:180 [in Norm]
ss:224 [in Norm]
ss:232 [in Norm]
ss:234 [in Norm]
ss:238 [in Norm]
stk:330 [in Smallstep]
stk:333 [in Smallstep]
stk:336 [in Smallstep]
stk:340 [in Smallstep]
stk:344 [in Smallstep]
st'o:461 [in PE]
st'o:472 [in PE]
st'':132 [in Hoare]
st'':148 [in Hoare]
st'':150 [in Equiv]
st'':166 [in Equiv]
st'':179 [in PE]
st'':180 [in Hoare]
st'':188 [in PE]
st'':194 [in PE]
st'':196 [in Hoare]
st'':200 [in PE]
st'':217 [in Hoare]
st'':233 [in Hoare]
st'':331 [in PE]
st'':351 [in PE]
st'':374 [in PE]
st'':384 [in PE]
st'':393 [in PE]
st'':401 [in PE]
st'':408 [in PE]
st'':434 [in PE]
st':10 [in Equiv]
st':102 [in References]
st':108 [in References]
st':115 [in UseAuto]
ST':116 [in UseAuto]
st':116 [in References]
st':121 [in References]
st':130 [in UseAuto]
ST':131 [in UseAuto]
st':131 [in Hoare]
st':134 [in Hoare]
st':137 [in UseAuto]
st':139 [in Hoare]
st':14 [in Equiv]
st':147 [in Hoare]
st':149 [in Equiv]
st':152 [in Equiv]
st':155 [in Hoare]
st':157 [in Equiv]
st':165 [in Equiv]
st':172 [in Equiv]
st':173 [in References]
st':174 [in Equiv]
st':176 [in Equiv]
st':179 [in Hoare]
st':182 [in Hoare]
st':182 [in PE]
st':184 [in Equiv]
st':185 [in References]
st':187 [in Hoare]
ST':188 [in References]
ST':190 [in References]
ST':194 [in References]
st':195 [in Hoare]
ST':197 [in References]
st':203 [in Hoare]
st':206 [in References]
ST':207 [in References]
st':216 [in Hoare]
st':219 [in Hoare]
st':224 [in Hoare]
ST':230 [in References]
st':232 [in Hoare]
st':243 [in Hoare]
st':246 [in References]
ST':247 [in References]
st':253 [in References]
st':257 [in Smallstep]
st':271 [in Hoare]
st':289 [in Smallstep]
st':290 [in Hoare]
st':308 [in Hoare]
st':311 [in Smallstep]
st':316 [in Smallstep]
st':318 [in Smallstep]
st':319 [in Smallstep]
st':324 [in Smallstep]
st':326 [in Smallstep]
st':326 [in Hoare]
st':327 [in Hoare]
st':33 [in Equiv]
st':330 [in PE]
st':335 [in PE]
st':341 [in PE]
st':350 [in PE]
st':358 [in PE]
st':362 [in PE]
st':378 [in PE]
st':39 [in Hoare]
st':409 [in PE]
st':432 [in PE]
st':449 [in PE]
st':465 [in PE]
st':5 [in HoareAsLogic]
st':53 [in References]
st':58 [in References]
st':64 [in References]
st':70 [in References]
st':74 [in Equiv]
st':78 [in References]
st':80 [in Equiv]
st':83 [in References]
st':89 [in References]
st₁:121 [in PE]
st₁:13 [in UseTactics]
ST₁:178 [in References]
st₁:24 [in UseTactics]
st₁:28 [in UseTactics]
st₁:3 [in UseTactics]
st₁:68 [in UseAuto]
st₁:72 [in UseAuto]
st₁:76 [in UseAuto]
st₁:80 [in UseAuto]
st₁:84 [in UseAuto]
st₁:88 [in UseTactics]
st₁:92 [in UseTactics]
st₂:122 [in PE]
st₂:14 [in UseTactics]
ST₂:179 [in References]
st₂:25 [in UseTactics]
st₂:29 [in UseTactics]
st₂:4 [in UseTactics]
st₂:69 [in UseAuto]
st₂:73 [in UseAuto]
st₂:77 [in UseAuto]
st₂:81 [in UseAuto]
st₂:85 [in UseAuto]
st₂:89 [in UseTactics]
st₂:93 [in UseTactics]
st:1 [in Hoare]
st:101 [in References]
st:103 [in References]
st:107 [in References]
st:107 [in PE]
st:11 [in Hoare]
ST:110 [in UseAuto]
st:111 [in Hoare]
st:111 [in References]
st:113 [in Hoare]
st:114 [in UseAuto]
st:114 [in PE]
st:115 [in References]
st:118 [in PE]
st:12 [in Hoare]
st:12 [in UseTactics]
st:120 [in References]
st:120 [in PE]
st:122 [in UseAuto]
ST:123 [in UseAuto]
st:123 [in Hoare]
st:124 [in Hoare]
ST:124 [in References]
ST:125 [in UseAuto]
ST:125 [in References]
st:126 [in PE]
st:129 [in UseAuto]
st:13 [in Hoare]
st:13 [in Equiv]
st:130 [in Hoare]
ST:132 [in UseAuto]
st:133 [in Hoare]
st:134 [in Equiv]
st:135 [in UseAuto]
st:138 [in Hoare]
st:14 [in Hoare]
st:141 [in Equiv]
st:142 [in Equiv]
st:144 [in Hoare]
st:146 [in Hoare]
st:148 [in Equiv]
st:15 [in Hoare]
st:151 [in Equiv]
st:154 [in Hoare]
st:156 [in Equiv]
st:16 [in Hoare]
st:162 [in Equiv]
st:164 [in Equiv]
st:167 [in PE]
ST:168 [in References]
st:169 [in PE]
st:17 [in Hoare]
st:171 [in Hoare]
st:171 [in References]
st:171 [in Equiv]
st:171 [in PE]
st:172 [in Hoare]
st:173 [in Equiv]
st:173 [in PE]
ST:174 [in References]
st:175 [in References]
st:175 [in Equiv]
st:175 [in PE]
st:177 [in References]
st:178 [in Hoare]
st:178 [in PE]
st:18 [in Hoare]
ST:180 [in References]
st:181 [in Hoare]
st:183 [in References]
st:183 [in Equiv]
st:186 [in Hoare]
st:187 [in PE]
st:19 [in Hoare]
st:190 [in Smallstep]
ST:191 [in References]
st:192 [in Hoare]
ST:193 [in References]
st:193 [in PE]
st:194 [in Hoare]
ST:196 [in References]
ST:198 [in References]
st:199 [in PE]
st:2 [in Hoare]
st:2 [in UseTactics]
st:20 [in Hoare]
st:20 [in References]
ST:200 [in References]
ST:201 [in References]
st:202 [in Hoare]
st:205 [in References]
st:208 [in Hoare]
st:209 [in Hoare]
st:21 [in Hoare]
ST:210 [in References]
ST:214 [in References]
st:215 [in Hoare]
st:218 [in Smallstep]
st:218 [in Hoare]
ST:218 [in References]
st:22 [in Hoare]
st:22 [in HoareAsLogic]
st:223 [in Hoare]
ST:224 [in References]
st:225 [in References]
st:229 [in Hoare]
ST:229 [in References]
st:23 [in Hoare]
st:23 [in UseTactics]
st:23 [in HoareAsLogic]
st:231 [in Hoare]
ST:233 [in References]
st:234 [in References]
st:236 [in Hoare]
st:24 [in Hoare]
st:24 [in PE]
ST:241 [in References]
st:242 [in Hoare]
st:245 [in References]
st:247 [in Smallstep]
ST:248 [in References]
st:25 [in Hoare]
st:250 [in Hoare]
st:251 [in Smallstep]
st:251 [in References]
st:254 [in Smallstep]
st:255 [in Hoare]
st:259 [in Smallstep]
st:261 [in Smallstep]
st:263 [in Hoare]
st:264 [in Hoare]
st:266 [in Smallstep]
st:269 [in Smallstep]
st:27 [in UseTactics]
st:27 [in HoareAsLogic]
st:270 [in Hoare]
st:272 [in Smallstep]
st:275 [in Hoare]
st:276 [in Hoare]
st:279 [in Smallstep]
st:28 [in PE]
st:28 [in HoareAsLogic]
st:281 [in Hoare]
st:281 [in PE]
st:283 [in Smallstep]
st:283 [in PE]
st:285 [in PE]
st:286 [in Smallstep]
st:287 [in Hoare]
st:287 [in PE]
st:289 [in Hoare]
st:289 [in PE]
st:29 [in Hoare]
st:291 [in Smallstep]
st:291 [in PE]
st:293 [in Smallstep]
st:293 [in PE]
st:294 [in Hoare]
st:295 [in PE]
st:297 [in Hoare]
st:297 [in PE]
st:298 [in Smallstep]
st:299 [in Hoare]
st:299 [in PE]
st:3 [in Hoare]
st:3 [in Equiv]
st:301 [in Smallstep]
st:301 [in Hoare]
st:301 [in PE]
st:303 [in PE]
st:304 [in Smallstep]
st:305 [in PE]
st:306 [in Hoare]
st:307 [in Smallstep]
st:307 [in PE]
st:309 [in PE]
st:31 [in PE]
st:311 [in PE]
st:312 [in Smallstep]
st:313 [in PE]
st:315 [in PE]
st:317 [in Smallstep]
st:317 [in PE]
st:319 [in PE]
st:32 [in Equiv]
st:321 [in Smallstep]
st:322 [in PE]
st:323 [in Smallstep]
st:323 [in PE]
st:327 [in Smallstep]
st:329 [in PE]
st:334 [in PE]
st:34 [in Hoare]
st:34 [in HoareAsLogic]
st:340 [in PE]
st:347 [in PE]
st:348 [in Smallstep]
st:349 [in Smallstep]
st:349 [in PE]
st:35 [in HoareAsLogic]
st:357 [in PE]
st:361 [in PE]
st:369 [in PE]
st:37 [in References]
st:37 [in PE]
st:373 [in PE]
st:38 [in Hoare]
st:383 [in PE]
st:392 [in PE]
st:4 [in Hoare]
st:4 [in HoareAsLogic]
st:40 [in PE]
st:40 [in HoareAsLogic]
st:400 [in PE]
st:407 [in PE]
st:41 [in References]
st:416 [in PE]
st:42 [in PE]
st:427 [in PE]
st:429 [in PE]
st:43 [in Hoare]
st:436 [in PE]
st:437 [in PE]
st:438 [in PE]
st:439 [in PE]
st:446 [in PE]
st:45 [in HoareAsLogic]
st:458 [in PE]
st:46 [in HoareAsLogic]
st:469 [in PE]
st:47 [in Hoare]
st:47 [in PE]
st:47 [in HoareAsLogic]
st:48 [in References]
st:52 [in References]
st:55 [in PE]
st:57 [in Hoare]
st:57 [in References]
st:6 [in Equiv]
st:60 [in References]
st:63 [in References]
st:66 [in Hoare]
st:66 [in References]
st:67 [in UseAuto]
st:67 [in Hoare]
st:68 [in UseTactics]
st:69 [in References]
st:7 [in Hoare]
st:70 [in Hoare]
st:70 [in PE]
st:71 [in UseAuto]
st:71 [in Hoare]
st:73 [in References]
st:73 [in Equiv]
st:74 [in PE]
st:75 [in UseAuto]
st:77 [in References]
st:79 [in UseAuto]
st:79 [in Equiv]
st:82 [in References]
st:83 [in UseAuto]
st:87 [in UseTactics]
st:88 [in References]
st:9 [in Equiv]
st:91 [in UseTactics]
st:92 [in References]
st:96 [in References]
st:98 [in References]
s':58 [in HoareAsLogic]
S₁:113 [in Sub]
S₁:139 [in UseAuto]
S₁:144 [in UseAuto]
S₁:155 [in RecordSub]
S₁:162 [in RecordSub]
S₁:167 [in RecordSub]
S₁:174 [in Sub]
S₁:178 [in Sub]
S₁:182 [in Sub]
S₁:186 [in Sub]
S₁:42 [in Sub]
S₁:77 [in RecordSub]
S₁:85 [in RecordSub]
S₁:88 [in Sub]
S₁:97 [in Sub]
S₂:100 [in Sub]
s₂:114 [in Sub]
s₂:140 [in UseAuto]
s₂:145 [in UseAuto]
s₂:156 [in RecordSub]
S₂:165 [in RecordSub]
s₂:168 [in RecordSub]
S₂:175 [in Sub]
S₂:179 [in Sub]
S₂:183 [in Sub]
S₂:187 [in Sub]
S₂:43 [in Sub]
S₂:78 [in RecordSub]
s₂:89 [in Sub]
S:104 [in Sub]
s:11 [in Stlc]
s:13 [in References]
S:131 [in RecordSub]
S:134 [in Sub]
S:138 [in Sub]
S:142 [in Sub]
S:143 [in Norm]
S:146 [in Sub]
s:15 [in Stlc]
S:150 [in Sub]
s:151 [in RecordSub]
S:154 [in Sub]
S:158 [in Sub]
s:161 [in Norm]
S:162 [in Sub]
S:164 [in Sub]
S:166 [in Sub]
S:167 [in Sub]
S:169 [in Sub]
S:171 [in UseAuto]
S:171 [in Sub]
S:175 [in UseAuto]
S:181 [in UseAuto]
s:19 [in Stlc]
S:198 [in Sub]
S:219 [in Sub]
S:224 [in Sub]
s:24 [in RecordSub]
S:269 [in Norm]
s:27 [in Records]
S:38 [in Sub]
S:41 [in Sub]
s:57 [in HoareAsLogic]
s:6 [in MoreStlc]
s:6 [in Norm]
s:6 [in Sub]
S:67 [in Stlc]
S:73 [in RecordSub]
S:76 [in RecordSub]
s:81 [in Sub]
s:84 [in StlcProp]
s:84 [in Sub]
s:91 [in Sub]
S:94 [in RecordSub]
S:97 [in UseTactics]
S:99 [in RecordSub]

T

Tguard:21 [in Typechecking]
Tguard:55 [in Typechecking]
Ti:100 [in Records]
Ti:102 [in RecordSub]
Ti:109 [in Records]
ti:110 [in Records]
Ti:128 [in RecordSub]
Ti:148 [in RecordSub]
Ti:88 [in Records]
Ti:98 [in RecordSub]
TL:201 [in Sub]
TL:205 [in Sub]
TL:209 [in Sub]
TL:213 [in Sub]
tr':102 [in Records]
tr':144 [in RecordSub]
tr₂':68 [in Records]
tr₂':69 [in RecordSub]
tr₂:64 [in Records]
tr₂:65 [in RecordSub]
tr₂:67 [in Records]
tr₂:68 [in RecordSub]
Tr₂:88 [in RecordSub]
Tr₃:93 [in RecordSub]
tr:101 [in Records]
tr:138 [in RecordSub]
Tr:139 [in RecordSub]
tr:143 [in RecordSub]
Tr:37 [in RecordSub]
tr:40 [in Records]
tr:41 [in RecordSub]
tr:58 [in Records]
tr:59 [in RecordSub]
Tr:70 [in Records]
Tr:89 [in Records]
tr:93 [in Records]
Tr:94 [in Records]
TS:200 [in Sub]
TS:203 [in Sub]
TS:207 [in Sub]
TS:211 [in Sub]
TS:221 [in Sub]
t':101 [in Norm]
t':103 [in StlcProp]
t':110 [in Smallstep]
t':112 [in UseAuto]
t':113 [in Records]
t':12 [in StlcProp]
t':127 [in UseAuto]
t':128 [in Records]
t':131 [in Sub]
t':136 [in UseAuto]
t':139 [in Smallstep]
t':143 [in Smallstep]
T':151 [in Norm]
t':153 [in Smallstep]
t':155 [in Norm]
t':156 [in Smallstep]
t':159 [in RecordSub]
t':167 [in Norm]
t':170 [in MoreStlc]
t':170 [in Norm]
t':172 [in References]
t':173 [in Norm]
t':176 [in Norm]
t':179 [in Norm]
t':184 [in Smallstep]
t':184 [in References]
t':185 [in RecordSub]
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T₁:163 [in References]
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T₁:56 [in Norm]
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t₂:114 [in References]
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T:250 [in Norm]
t:251 [in Norm]
T:254 [in References]
t:257 [in Norm]
T:258 [in Norm]
t:26 [in Typechecking]
t:263 [in Norm]
t:268 [in Norm]
T:27 [in Typechecking]
t:27 [in Types]
t:272 [in Norm]
T:273 [in Norm]
t:276 [in Norm]
T:277 [in Norm]
t:28 [in Types]
t:28 [in Records]
t:29 [in Typechecking]
t:29 [in StlcProp]
t:29 [in Types]
t:3 [in Smallstep]
T:30 [in Typechecking]
T:31 [in StlcProp]
T:31 [in UseTactics]
t:32 [in StlcProp]
T:34 [in StlcProp]
t:35 [in StlcProp]
t:36 [in References]
T:36 [in Typechecking]
T:37 [in StlcProp]
T:37 [in Types]
T:37 [in Sub]
t:38 [in StlcProp]
t:39 [in StlcProp]
t:40 [in References]
t:40 [in Typechecking]
T:40 [in Sub]
T:41 [in StlcProp]
t:41 [in Types]
t:42 [in Smallstep]
t:42 [in Types]
t:43 [in Types]
T:44 [in StlcProp]
t:44 [in Types]
T:45 [in Types]
t:46 [in Smallstep]
t:47 [in Types]
t:49 [in Smallstep]
T:49 [in Types]
t:50 [in Types]
t:51 [in Norm]
t:52 [in Smallstep]
T:52 [in Types]
t:53 [in Types]
T:55 [in Types]
t:56 [in Types]
T:58 [in Types]
t:59 [in Types]
T:6 [in Typechecking]
T:61 [in Types]
t:64 [in Typechecking]
T:65 [in Typechecking]
t:65 [in StlcProp]
T:65 [in Stlc]
T:66 [in Stlc]
t:67 [in Typechecking]
T:68 [in Typechecking]
t:68 [in StlcProp]
T:68 [in Stlc]
t:69 [in Typechecking]
T:69 [in StlcProp]
t:7 [in StlcProp]
t:7 [in Types]
t:7 [in MoreStlc]
t:7 [in Norm]
t:7 [in Sub]
t:72 [in StlcProp]
T:72 [in RecordSub]
T:73 [in StlcProp]
t:74 [in Typechecking]
T:75 [in RecordSub]
t:75 [in UseTactics]
t:76 [in StlcProp]
T:77 [in StlcProp]
T:77 [in UseTactics]
T:77 [in Records]
T:8 [in StlcProp]
t:8 [in Types]
t:84 [in Typechecking]
t:85 [in Typechecking]
t:85 [in StlcProp]
t:86 [in UseAuto]
t:86 [in Typechecking]
t:87 [in Records]
T:88 [in UseAuto]
t:88 [in Typechecking]
t:89 [in UseAuto]
t:89 [in Typechecking]
t:89 [in Norm]
T:90 [in Norm]
T:91 [in UseAuto]
t:91 [in StlcProp]
t:91 [in Records]
t:92 [in UseAuto]
t:92 [in Norm]
T:92 [in Records]
t:92 [in Sub]
T:93 [in UseAuto]
T:93 [in Norm]
T:93 [in Sub]
t:94 [in Smallstep]
t:95 [in UseAuto]
T:95 [in RecordSub]
T:95 [in Records]
T:96 [in UseAuto]
t:96 [in StlcProp]
T:96 [in UseTactics]
T:97 [in StlcProp]
T:97 [in RecordSub]
t:97 [in Norm]
T:97 [in Records]
t:98 [in UseAuto]
t:98 [in StlcProp]
T:99 [in Norm]
T:99 [in Records]
T:99 [in Sub]

U

U₁:107 [in RecordSub]
U₁:77 [in Sub]
U₂:108 [in RecordSub]
U₂:78 [in Sub]
U:104 [in RecordSub]
u:114 [in Equiv]
U:123 [in Records]
U:126 [in Sub]
U:136 [in Sub]
U:140 [in Sub]
U:144 [in Sub]
U:148 [in Sub]
U:152 [in Sub]
U:156 [in Sub]
U:160 [in Sub]
U:173 [in UseAuto]
U:180 [in RecordSub]
U:180 [in MoreStlc]
U:189 [in LibTactics]
U:22 [in StlcProp]
U:220 [in References]
U:28 [in StlcProp]
u:38 [in UseTactics]
U:39 [in Sub]
u:6 [in StlcProp]
U:73 [in Sub]
U:74 [in RecordSub]
U:74 [in UseTactics]
U:74 [in Sub]
U:79 [in Sub]
U:80 [in Sub]
U:82 [in Sub]
U:96 [in Norm]

V

varname:273 [in LibTactics]
varname:274 [in LibTactics]
varname:275 [in LibTactics]
varname:276 [in LibTactics]
vi:149 [in RecordSub]
vi:60 [in Records]
vi:61 [in RecordSub]
vl:102 [in MoreStlc]
vr:35 [in RecordSub]
vr:38 [in Records]
V₀:39 [in PE]
V₀:62 [in PE]
V₀:69 [in PE]
v₀:72 [in MoreStlc]
v₀:78 [in MoreStlc]
v₁:101 [in MoreStlc]
V₁:105 [in RecordSub]
v₁:11 [in Smallstep]
v₁:117 [in References]
v₁:147 [in Smallstep]
v₁:15 [in Smallstep]
v₁:15 [in Norm]
v₁:167 [in Smallstep]
v₁:172 [in Smallstep]
v₁:197 [in Smallstep]
v₁:20 [in Smallstep]
v₁:200 [in Smallstep]
v₁:205 [in Smallstep]
v₁:208 [in Smallstep]
v₁:21 [in MoreStlc]
v₁:213 [in Smallstep]
v₁:216 [in Smallstep]
v₁:222 [in Norm]
v₁:224 [in Smallstep]
v₁:227 [in Smallstep]
v₁:23 [in MoreStlc]
v₁:232 [in Smallstep]
v₁:235 [in Smallstep]
v₁:24 [in Sub]
v₁:26 [in Norm]
v₁:32 [in Stlc]
v₁:34 [in Smallstep]
v₁:34 [in RecordSub]
v₁:34 [in MoreStlc]
v₁:37 [in Records]
v₁:39 [in Smallstep]
v₁:40 [in Norm]
v₁:45 [in Norm]
v₁:48 [in MoreStlc]
v₁:49 [in Norm]
v₁:52 [in Records]
v₁:53 [in RecordSub]
v₁:54 [in References]
v₁:60 [in Smallstep]
v₁:65 [in Smallstep]
v₁:66 [in Records]
v₁:67 [in RecordSub]
v₁:75 [in Smallstep]
V₁:75 [in Sub]
v₁:79 [in References]
v₁:80 [in Smallstep]
v₁:87 [in MoreStlc]
v₁:89 [in Smallstep]
V₂:106 [in RecordSub]
v₂:12 [in Smallstep]
v₂:16 [in Smallstep]
v₂:16 [in Norm]
v₂:168 [in Smallstep]
v₂:20 [in Sub]
v₂:201 [in Smallstep]
v₂:209 [in Smallstep]
v₂:217 [in Smallstep]
v₂:22 [in MoreStlc]
v₂:22 [in Norm]
v₂:228 [in Smallstep]
v₂:236 [in Smallstep]
v₂:24 [in MoreStlc]
v₂:28 [in Stlc]
v₂:30 [in MoreStlc]
v₂:35 [in Smallstep]
v₂:46 [in Norm]
v₂:47 [in References]
v₂:48 [in Records]
v₂:49 [in RecordSub]
v₂:50 [in Norm]
v₂:57 [in Smallstep]
v₂:61 [in Smallstep]
v₂:76 [in Smallstep]
V₂:76 [in Sub]
v₂:90 [in Smallstep]
V:10 [in HoareAsLogic]
V:101 [in PE]
v:102 [in UseAuto]
V:104 [in PE]
v:105 [in UseAuto]
v:106 [in Records]
v:108 [in UseAuto]
v:109 [in References]
V:115 [in PE]
V:123 [in PE]
v:125 [in Records]
v:128 [in Sub]
V:137 [in Sub]
V:141 [in Sub]
v:145 [in RecordSub]
V:145 [in Sub]
V:149 [in Sub]
V:153 [in Sub]
v:156 [in Norm]
V:157 [in Sub]
v:16 [in MoreStlc]
V:161 [in Sub]
v:18 [in MoreStlc]
v:182 [in RecordSub]
v:182 [in MoreStlc]
V:2 [in PE]
v:202 [in Norm]
v:21 [in Types]
v:213 [in Norm]
v:217 [in Norm]
v:221 [in Norm]
v:222 [in References]
v:230 [in Norm]
v:24 [in StlcProp]
v:24 [in Types]
V:26 [in PE]
v:262 [in Norm]
v:30 [in StlcProp]
V:366 [in PE]
v:39 [in UseTactics]
V:44 [in PE]
v:48 [in Smallstep]
V:57 [in PE]
V:6 [in PE]
V:61 [in PE]
V:64 [in PE]
V:67 [in PE]
v:68 [in Smallstep]
V:72 [in PE]
v:76 [in UseTactics]
V:76 [in PE]
V:80 [in PE]
v:83 [in Smallstep]
V:83 [in PE]
V:94 [in PE]
v:97 [in References]
v:98 [in Norm]
v:99 [in UseAuto]

W

w:40 [in UseTactics]

X

xts:185 [in Norm]
x':246 [in Norm]
x₁:104 [in MoreStlc]
x₁:118 [in Equiv]
x₁:127 [in LibTactics]
x₁:130 [in LibTactics]
x₁:135 [in LibTactics]
x₁:142 [in LibTactics]
x₁:146 [in MoreStlc]
x₁:151 [in LibTactics]
x₁:162 [in LibTactics]
x₁:163 [in MoreStlc]
x₁:175 [in LibTactics]
x₁:201 [in LibTactics]
x₁:209 [in LibTactics]
x₁:217 [in LibTactics]
x₁:220 [in Norm]
x₁:224 [in LibTactics]
x₁:231 [in LibTactics]
x₁:237 [in LibTactics]
x₁:243 [in LibTactics]
x₁:248 [in LibTactics]
x₁:253 [in LibTactics]
x₁:257 [in LibTactics]
x₁:261 [in LibTactics]
x₁:264 [in LibTactics]
x₁:267 [in LibTactics]
x₁:269 [in LibTactics]
x₁:271 [in LibTactics]
x₁:272 [in LibTactics]
x₁:35 [in LibTactics]
x₁:37 [in LibTactics]
x₁:40 [in LibTactics]
x₁:44 [in LibTactics]
x₁:49 [in LibTactics]
x₁:58 [in LibTactics]
x₁:61 [in LibTactics]
x₁:63 [in UseTactics]
x₁:63 [in LibTactics]
x₁:66 [in LibTactics]
x₁:68 [in MoreStlc]
x₁:69 [in LibTactics]
x₁:73 [in MoreStlc]
x₁:73 [in LibTactics]
x₁:77 [in LibTactics]
x₁:79 [in MoreStlc]
x₁:82 [in LibTactics]
x₁:87 [in LibTactics]
x₁:93 [in MoreStlc]
x₁:93 [in LibTactics]
x₁:98 [in MoreStlc]
x₁:99 [in LibTactics]
x₂:100 [in LibTactics]
x₂:105 [in MoreStlc]
x₂:119 [in Equiv]
x₂:132 [in LibTactics]
x₂:137 [in LibTactics]
x₂:144 [in LibTactics]
x₂:149 [in MoreStlc]
x₂:153 [in LibTactics]
x₂:164 [in MoreStlc]
x₂:164 [in LibTactics]
x₂:177 [in LibTactics]
x₂:202 [in LibTactics]
x₂:210 [in LibTactics]
x₂:218 [in LibTactics]
x₂:225 [in LibTactics]
x₂:232 [in LibTactics]
x₂:238 [in LibTactics]
x₂:244 [in LibTactics]
x₂:249 [in LibTactics]
x₂:254 [in LibTactics]
x₂:258 [in LibTactics]
x₂:262 [in LibTactics]
x₂:265 [in LibTactics]
x₂:268 [in LibTactics]
x₂:270 [in LibTactics]
x₂:38 [in LibTactics]
x₂:41 [in LibTactics]
x₂:45 [in LibTactics]
x₂:50 [in LibTactics]
x₂:64 [in UseTactics]
x₂:64 [in LibTactics]
x₂:67 [in LibTactics]
x₂:70 [in MoreStlc]
x₂:70 [in LibTactics]
x₂:74 [in LibTactics]
x₂:75 [in MoreStlc]
x₂:78 [in LibTactics]
x₂:81 [in MoreStlc]
x₂:83 [in LibTactics]
x₂:88 [in LibTactics]
x₂:94 [in MoreStlc]
x₂:94 [in LibTactics]
x₂:99 [in MoreStlc]
x₃:101 [in LibTactics]
x₃:139 [in LibTactics]
x₃:146 [in LibTactics]
x₃:155 [in LibTactics]
x₃:166 [in LibTactics]
x₃:179 [in LibTactics]
x₃:203 [in LibTactics]
x₃:211 [in LibTactics]
x₃:219 [in LibTactics]
x₃:226 [in LibTactics]
x₃:233 [in LibTactics]
x₃:239 [in LibTactics]
x₃:245 [in LibTactics]
x₃:250 [in LibTactics]
x₃:255 [in LibTactics]
x₃:259 [in LibTactics]
x₃:263 [in LibTactics]
x₃:266 [in LibTactics]
x₃:42 [in LibTactics]
x₃:46 [in LibTactics]
x₃:51 [in LibTactics]
x₃:71 [in LibTactics]
x₃:75 [in LibTactics]
x₃:79 [in LibTactics]
x₃:84 [in LibTactics]
x₃:89 [in LibTactics]
x₃:95 [in LibTactics]
x₄:102 [in LibTactics]
x₄:148 [in LibTactics]
x₄:157 [in LibTactics]
x₄:168 [in LibTactics]
x₄:181 [in LibTactics]
x₄:204 [in LibTactics]
x₄:212 [in LibTactics]
x₄:220 [in LibTactics]
x₄:227 [in LibTactics]
x₄:234 [in LibTactics]
x₄:240 [in LibTactics]
x₄:246 [in LibTactics]
x₄:251 [in LibTactics]
x₄:256 [in LibTactics]
x₄:260 [in LibTactics]
x₄:47 [in LibTactics]
x₄:52 [in LibTactics]
x₄:80 [in LibTactics]
x₄:85 [in LibTactics]
x₄:90 [in LibTactics]
x₄:96 [in LibTactics]
x₅:103 [in LibTactics]
x₅:159 [in LibTactics]
x₅:170 [in LibTactics]
x₅:183 [in LibTactics]
x₅:205 [in LibTactics]
x₅:213 [in LibTactics]
x₅:221 [in LibTactics]
x₅:228 [in LibTactics]
x₅:235 [in LibTactics]
x₅:241 [in LibTactics]
x₅:247 [in LibTactics]
x₅:252 [in LibTactics]
x₅:53 [in LibTactics]
x₅:91 [in LibTactics]
x₅:97 [in LibTactics]
x₆:104 [in LibTactics]
x₆:172 [in LibTactics]
x₆:185 [in LibTactics]
x₆:206 [in LibTactics]
x₆:214 [in LibTactics]
x₆:222 [in LibTactics]
x₆:229 [in LibTactics]
x₆:236 [in LibTactics]
x₆:242 [in LibTactics]
x₇:187 [in LibTactics]
x₇:207 [in LibTactics]
x₇:215 [in LibTactics]
x₇:223 [in LibTactics]
x₇:230 [in LibTactics]
x₈:208 [in LibTactics]
x₈:216 [in LibTactics]
X:1 [in Records]
x:10 [in Stlc]
x:10 [in UseTactics]
x:100 [in UseTactics]
x:102 [in Sub]
x:103 [in UseTactics]
x:105 [in UseTactics]
x:105 [in Norm]
x:106 [in Norm]
x:109 [in Norm]
x:110 [in MoreStlc]
x:112 [in RecordSub]
x:112 [in Norm]
x:112 [in Sub]
x:113 [in MoreStlc]
x:113 [in Equiv]
x:115 [in RecordSub]
x:116 [in Norm]
x:116 [in LibTactics]
x:119 [in UseAuto]
x:12 [in References]
x:12 [in MoreStlc]
x:12 [in Norm]
x:12 [in Sub]
x:120 [in Norm]
X:121 [in Smallstep]
x:122 [in Equiv]
x:122 [in Records]
x:124 [in Norm]
x:125 [in Smallstep]
x:125 [in Sub]
x:126 [in Smallstep]
x:127 [in Hoare]
x:128 [in Norm]
X:129 [in Smallstep]
x:129 [in References]
x:131 [in Smallstep]
x:131 [in Norm]
x:132 [in References]
X:133 [in Smallstep]
x:133 [in Equiv]
x:134 [in Norm]
x:135 [in Smallstep]
x:136 [in Norm]
x:138 [in UseAuto]
x:139 [in Norm]
X:140 [in Smallstep]
x:143 [in UseAuto]
x:144 [in Norm]
x:145 [in Equiv]
x:145 [in Norm]
x:147 [in Norm]
X:15 [in UseTactics]
x:154 [in RecordSub]
x:155 [in UseAuto]
x:156 [in UseAuto]
x:157 [in UseAuto]
x:158 [in UseAuto]
x:16 [in Stlc]
x:160 [in UseAuto]
X:161 [in Hoare]
x:161 [in RecordSub]
x:162 [in UseAuto]
x:164 [in UseAuto]
x:165 [in UseAuto]
x:166 [in UseAuto]
x:166 [in RecordSub]
x:17 [in Sub]
x:175 [in Hoare]
x:179 [in RecordSub]
x:179 [in MoreStlc]
x:183 [in UseAuto]
x:185 [in UseAuto]
x:188 [in UseAuto]
X:188 [in Norm]
x:189 [in References]
x:19 [in UseTactics]
x:19 [in Norm]
x:190 [in UseAuto]
x:192 [in LibTactics]
x:193 [in UseAuto]
X:193 [in Norm]
x:199 [in UseAuto]
x:20 [in Stlc]
x:20 [in UseTactics]
x:200 [in Norm]
x:205 [in UseAuto]
x:206 [in Norm]
x:209 [in Norm]
x:21 [in StlcProp]
X:21 [in LibTactics]
x:212 [in Hoare]
x:212 [in Norm]
x:215 [in UseAuto]
x:215 [in Norm]
x:219 [in References]
x:219 [in Norm]
x:22 [in LibTactics]
x:229 [in Norm]
X:23 [in Smallstep]
x:23 [in References]
x:23 [in RecordSub]
x:233 [in Norm]
x:235 [in Norm]
x:237 [in Hoare]
x:239 [in References]
X:24 [in Smallstep]
x:242 [in Norm]
x:245 [in Norm]
X:248 [in Hoare]
x:249 [in Norm]
x:25 [in Stlc]
X:252 [in Hoare]
X:254 [in Hoare]
X:255 [in References]
x:256 [in Norm]
x:259 [in References]
x:26 [in Smallstep]
X:26 [in Hoare]
x:26 [in Records]
x:26 [in LibTactics]
x:261 [in References]
x:261 [in Norm]
x:267 [in Hoare]
x:27 [in StlcProp]
x:27 [in MoreStlc]
x:274 [in Norm]
x:275 [in Norm]
x:28 [in Hoare]
x:28 [in LibTactics]
x:282 [in LibTactics]
X:30 [in Hoare]
x:30 [in References]
x:30 [in RecordSub]
X:316 [in Hoare]
x:32 [in Hoare]
x:33 [in References]
x:33 [in Records]
x:35 [in PE]
x:38 [in UseAuto]
x:41 [in UseAuto]
x:41 [in UseTactics]
x:41 [in Equiv]
X:42 [in Equiv]
X:44 [in Smallstep]
x:44 [in References]
x:45 [in UseAuto]
x:45 [in Records]
x:46 [in StlcProp]
x:46 [in RecordSub]
x:46 [in Stlc]
x:47 [in UseAuto]
x:48 [in UseTactics]
x:49 [in Stlc]
x:49 [in Sub]
x:5 [in StlcProp]
X:5 [in UseTactics]
x:5 [in MoreStlc]
x:5 [in Norm]
x:5 [in Sub]
x:50 [in UseAuto]
x:52 [in Sub]
X:54 [in Hoare]
x:55 [in Norm]
x:58 [in Norm]
X:59 [in Hoare]
x:59 [in UseTactics]
X:6 [in Hoare2]
x:61 [in Hoare2]
x:62 [in Equiv]
x:64 [in UseAuto]
x:65 [in Hoare2]
x:66 [in StlcProp]
x:66 [in Hoare2]
x:67 [in StlcProp]
x:7 [in References]
x:7 [in Stlc]
x:73 [in UseTactics]
x:76 [in Records]
x:78 [in StlcProp]
x:78 [in Records]
x:8 [in UseTactics]
x:83 [in StlcProp]
x:87 [in Sub]
x:89 [in PE]
x:9 [in UseTactics]
X:94 [in Hoare2]
x:95 [in UseTactics]
x:95 [in Norm]
x:96 [in Sub]
X:98 [in Hoare2]

Y

y₁:128 [in LibTactics]
y₁:131 [in LibTactics]
y₁:136 [in LibTactics]
y₁:143 [in LibTactics]
y₁:152 [in LibTactics]
y₁:163 [in LibTactics]
y₁:176 [in LibTactics]
y₁:27 [in Smallstep]
y₁:59 [in LibTactics]
y₁:60 [in LibTactics]
y₁:65 [in UseTactics]
y₁:65 [in LibTactics]
y₁:72 [in LibTactics]
y₁:81 [in LibTactics]
y₁:92 [in LibTactics]
y₂:133 [in LibTactics]
y₂:138 [in LibTactics]
y₂:145 [in LibTactics]
y₂:154 [in LibTactics]
y₂:165 [in LibTactics]
y₂:178 [in LibTactics]
y₂:28 [in Smallstep]
y₂:66 [in UseTactics]
y₃:140 [in LibTactics]
y₃:147 [in LibTactics]
y₃:156 [in LibTactics]
y₃:167 [in LibTactics]
y₃:180 [in LibTactics]
y₄:149 [in LibTactics]
y₄:158 [in LibTactics]
y₄:169 [in LibTactics]
y₄:182 [in LibTactics]
y₅:160 [in LibTactics]
y₅:171 [in LibTactics]
y₅:184 [in LibTactics]
y₆:173 [in LibTactics]
y₆:186 [in LibTactics]
y₇:188 [in LibTactics]
y:113 [in Norm]
y:117 [in LibTactics]
y:126 [in Equiv]
y:127 [in Smallstep]
y:132 [in Smallstep]
y:136 [in Smallstep]
y:146 [in Norm]
y:184 [in UseAuto]
y:186 [in UseAuto]
y:189 [in UseAuto]
y:191 [in UseAuto]
y:193 [in LibTactics]
y:194 [in UseAuto]
y:200 [in UseAuto]
y:206 [in UseAuto]
y:260 [in References]
y:262 [in References]
y:283 [in LibTactics]
y:33 [in Hoare]
y:36 [in PE]
y:42 [in UseTactics]
y:49 [in UseTactics]
y:53 [in StlcProp]
y:60 [in UseTactics]
y:87 [in PE]
y:96 [in Records]

Z

z:128 [in Smallstep]
z:137 [in Smallstep]
z:187 [in UseAuto]
z:195 [in UseAuto]
z:201 [in UseAuto]
z:207 [in UseAuto]
z:263 [in References]
z:43 [in UseTactics]
z:61 [in UseTactics]

---

Module Index

C

CImp [in Smallstep]
Combined [in Smallstep]

D

DeterministicImp [in UseAuto]

E

EqualityExamples [in UseTactics]
ExamplePrettyAssertions [in Hoare]
ExamplesLets [in UseTactics]
ExAssertions [in Hoare]

F

FirstTry [in Typechecking]

G

GenExample [in UseTactics]

H

Himp [in Hoare]
Himp [in Equiv]
Himp2 [in Hoare2]
HoareAssertAssume [in Hoare]

I

If₁ [in Hoare]
IntrovExamples [in UseTactics]
InvertsExamples [in UseTactics]
InvertsExamples1 [in UseTactics]

L

LibTacticsCompatibility [in LibTactics]
Loop [in PE]

N

NaryExamples [in UseTactics]

P

PreservationProgressReferences [in UseAuto]
PreservationProgressStlc [in UseAuto]

R

RecordSub [in RecordSub]
RecordSub.Examples [in RecordSub]
RecordSub.Examples2 [in RecordSub]
RepeatExercise [in Hoare]
RingDemo [in UseAuto]

S

Semantics [in UseAuto]
SimpleArith1 [in Smallstep]
SimpleArith2 [in Smallstep]
SimpleArith3 [in Smallstep]
SkipExample [in UseTactics]
SortExamples [in UseTactics]
StepFunction [in Typechecking]
STLC [in Stlc]
STLCArith [in StlcProp]
STLCChecker [in Typechecking]
STLCExtended [in MoreStlc]
STLCExtendedRecords [in Records]
STLCExtendedRecords.FirstTry [in Records]
STLCExtended.Examples [in MoreStlc]
STLCExtended.Examples.FixTest1 [in MoreStlc]
STLCExtended.Examples.FixTest2 [in MoreStlc]
STLCExtended.Examples.FixTest3 [in MoreStlc]
STLCExtended.Examples.FixTest4 [in MoreStlc]
STLCExtended.Examples.LetTest [in MoreStlc]
STLCExtended.Examples.ListTest [in MoreStlc]
STLCExtended.Examples.Numtest [in MoreStlc]
STLCExtended.Examples.ProdTest [in MoreStlc]
STLCExtended.Examples.Sumtest1 [in MoreStlc]
STLCExtended.Examples.Sumtest2 [in MoreStlc]
StlcImpl [in Typechecking]
STLCProp [in StlcProp]
STLCRef [in References]
STLCRef.ExampleVariables [in References]
STLCRef.RefsAndNontermination [in References]
STLCSub [in Sub]
STLCSub.Examples [in Sub]
STLCSub.Examples2 [in Sub]
STLCSub.FormalThoughtExercises [in Sub]
STLCTypes [in Typechecking]
SubtypingInversion [in UseAuto]

T

Temp1 [in Smallstep]
Temp2 [in Smallstep]
Temp3 [in Smallstep]
Temp4 [in Smallstep]
Temp4.Temp5 [in Smallstep]
TM [in Types]
TypecheckerExtensions [in Typechecking]

U

UnfoldsExample [in UseTactics]

---

Variable Index

E

equatesLemma.A0 [in LibTactics]
equatesLemma.A1 [in LibTactics]
equatesLemma.A2 [in LibTactics]
equatesLemma.A3 [in LibTactics]
equatesLemma.A4 [in LibTactics]
equatesLemma.A5 [in LibTactics]
equatesLemma.A6 [in LibTactics]

F

FuncEq.A1 [in LibTactics]
FuncEq.A2 [in LibTactics]
FuncEq.A3 [in LibTactics]
FuncEq.A4 [in LibTactics]
FuncEq.A5 [in LibTactics]
FuncEq.A6 [in LibTactics]
FuncEq.A7 [in LibTactics]
FuncEq.B [in LibTactics]

---

Library Index

B

Bib

E

Equiv

H

Hoare
HoareAsLogic
Hoare2

L

LibTactics

M

MoreStlc

N

Norm

P

PE
Postscript
Preface

R

Records
RecordSub
References

S

Smallstep
Stlc
StlcProp
Sub

T

Typechecking
Types

U

UseAuto
UseTactics

---

Lemma Index

A

aequiv_example [in Equiv]
aeval_weakening [in Equiv]
always_loop_hoare [in Hoare]
applys_eq_step [in LibTactics]
applys_eq_step_dep [in LibTactics]
applys_eq_init [in LibTactics]
args_eq_7 [in LibTactics]
args_eq_6 [in LibTactics]
args_eq_5 [in LibTactics]
args_eq_4 [in LibTactics]
args_eq_3 [in LibTactics]
args_eq_2 [in LibTactics]
args_eq_1 [in LibTactics]
assign_aequiv [in Equiv]
assign_removes [in PE]

B

bequiv_example [in Equiv]
bexp_eval_false [in Hoare]

C

CAsgn_congruence [in Equiv]
ceval_extensionality [in PE]
CIf_congruence [in Equiv]
CImp.par_loop_any_X [in Smallstep]
CImp.par_body_n [in Smallstep]
CImp.par_body_n__Sn [in Smallstep]
cmin_minimal [in Equiv]
Combined.combined_strong_progress [in Smallstep]
Combined.combined_step_deterministic [in Smallstep]
compiler_is_correct [in Smallstep]
congruence_demo_3 [in UseAuto]
congruence_demo_4 [in UseAuto]
congruence_demo_2 [in UseAuto]
congruence_demo_1 [in UseAuto]
context_invariance [in Norm]
CSeq_congruence [in Equiv]
CWhile_congruence [in Equiv]
c3_c4_different [in Equiv]

D

dec_while_correct [in Hoare2]
demo_false [in UseAuto]
demo_auto_absurd_2 [in UseAuto]
demo_auto_absurd_1 [in UseAuto]
demo_hint_unfold_context_2 [in UseAuto]
demo_hint_unfold_context_1 [in UseAuto]
demo_hint_unfold_goal_2 [in UseAuto]
demo_hint_unfold_goal_1 [in UseAuto]
demo_tryfalse [in UseTactics]
demo_false_arg [in UseTactics]
demo_false [in UseTactics]
demo_clears_all_and_clears_but [in LibTactics]
DeterministicImp.ceval_deterministic'''' [in UseAuto]
DeterministicImp.ceval_deterministic''' [in UseAuto]
DeterministicImp.ceval_deterministic'' [in UseAuto]
DeterministicImp.ceval_deterministic' [in UseAuto]
DeterministicImp.ceval_deterministic [in UseAuto]
dfib_correct [in Hoare2]
div_mod_outer_triple_valid [in Hoare2]
dpow2_down_correct [in Hoare2]
duplicate_subst [in Norm]
dup_lemma [in LibTactics]

E

EqualityExamples.demo_applys_eq_2 [in UseTactics]
EqualityExamples.demo_applys_eq_1 [in UseTactics]
EqualityExamples.demo_fequals [in UseTactics]
EqualityExamples.demo_substs [in UseTactics]
EqualityExamples.mult_0_plus'' [in UseTactics]
EqualityExamples.mult_0_plus [in UseTactics]
equality_by_auto [in UseAuto]
equates_6 [in LibTactics]
equates_5 [in LibTactics]
equates_4 [in LibTactics]
equates_3 [in LibTactics]
equates_2 [in LibTactics]
equates_1 [in LibTactics]
equates_0 [in LibTactics]
evalF_eval [in Smallstep]
eval__multistep [in Smallstep]
eval_assign [in PE]
ExamplesLets.demo_lets_underscore [in UseTactics]
ExamplesLets.demo_lets_5 [in UseTactics]
ExamplesLets.demo_lets_4 [in UseTactics]
ExamplesLets.demo_lets_3 [in UseTactics]
ExamplesLets.demo_lets_2 [in UseTactics]
ExamplesLets.demo_lets_1 [in UseTactics]

F

factorial_correct [in Hoare2]
false_eqb_string [in Norm]
false_eqb_string [in PE]
fib_eqn [in Hoare2]
fold_constants_com_sound [in Equiv]
fold_constants_bexp_sound [in Equiv]
fold_constants_aexp_sound [in Equiv]
free_in_context [in Norm]

G

GenExample.substitution_preserves_typing [in UseTactics]

H

Himp.havoc_post [in Hoare]
Himp.hoare_havoc [in Hoare]
Himp.hoare_consequence_pre [in Hoare]
Himp.ptwice_cequiv_pcopy [in Equiv]
Himp.pXY_cequiv_pYX [in Equiv]
Himp.p1_p2_equiv [in Equiv]
Himp.p1_may_diverge [in Equiv]
Himp.p2_may_diverge [in Equiv]
Himp.p3_p4_inequiv [in Equiv]
Himp.p5_p6_equiv [in Equiv]
Himp2.hoare_havoc_weakest [in Hoare2]
HoareAssertAssume.assert_implies_assume [in Hoare]
HoareAssertAssume.assert_assume_differ [in Hoare]
HoareAssertAssume.hoare_while [in Hoare]
HoareAssertAssume.hoare_if [in Hoare]
HoareAssertAssume.hoare_skip [in Hoare]
HoareAssertAssume.hoare_seq [in Hoare]
HoareAssertAssume.hoare_consequence_post [in Hoare]
HoareAssertAssume.hoare_consequence_pre [in Hoare]
HoareAssertAssume.hoare_asgn [in Hoare]
hoare_while [in Hoare]
hoare_if [in Hoare]
hoare_consequence_post' [in Hoare]
hoare_consequence_pre'''' [in Hoare]
hoare_consequence_pre''' [in Hoare]
hoare_consequence_pre'' [in Hoare]
hoare_consequence_pre' [in Hoare]
hoare_consequence [in Hoare]
hoare_consequence_post [in Hoare]
hoare_consequence_pre [in Hoare]
hoare_asgn_fwd_exists [in Hoare]
hoare_asgn_fwd [in Hoare]
hoare_asgn [in Hoare]
hoare_seq [in Hoare]
hoare_skip [in Hoare]
hoare_pre_false [in Hoare]
hoare_post_true [in Hoare]
hoare_asgn_weakest [in Hoare2]
hoare_complete [in HoareAsLogic]
hoare_sound [in HoareAsLogic]
H_Consequence_post [in HoareAsLogic]
H_Consequence_pre [in HoareAsLogic]

I

identity_assignment [in Equiv]
iff_intro_swap [in LibTactics]
if_minus_plus [in Hoare]
if_minus_plus_correct [in Hoare2]
if_false [in Equiv]
if_true [in Equiv]
if_true_simple [in Equiv]
If₁.hoare_if1_good [in Hoare]
If₁.hoare_asgn [in Hoare]
If₁.hoare_consequence_pre [in Hoare]
inbP [in PE]
induct_height_max2 [in LibTactics]
inequiv_exercise [in Equiv]
instantiation_drop [in Norm]
instantiation_R [in Norm]
instantiation_env_closed [in Norm]
instantiation_domains_match [in Norm]
IntrovExamples.ceval_deterministic' [in UseTactics]
IntrovExamples.ceval_deterministic [in UseTactics]
IntrovExamples.dist_exists_or [in UseTactics]
IntrovExamples.exists_impl [in UseTactics]
invalid_triple [in Hoare]
InvertsExamples.ceval_deterministic' [in UseTactics]
InvertsExamples.ceval_deterministic [in UseTactics]
InvertsExamples.skip_left' [in UseTactics]
InvertsExamples.skip_left [in UseTactics]
is_wp_example [in Hoare2]

L

lia_demo_4 [in UseAuto]
lia_demo_3 [in UseAuto]
lia_demo_2 [in UseAuto]
lia_demo_1 [in UseAuto]
loop_unrolling [in Equiv]
Loop.ceval_count_sound [in PE]
Loop.ceval_count_complete [in PE]
Loop.pe_com_correct [in PE]
Loop.pe_com_sound [in PE]
Loop.pe_com_complete [in PE]
Loop.pe_ceval_count_le [in PE]
Loop.pe_compare_nil_update [in PE]
Loop.pe_compare_nil_lookup [in PE]
ltac_something_show [in LibTactics]
ltac_something_hide [in LibTactics]
ltac_something_eq [in LibTactics]
ltac_database_provide [in LibTactics]

M

minimum_correct [in Hoare2]
msubst_R [in Norm]
msubst_preserves_typing [in Norm]
msubst_app [in Norm]
msubst_abs [in Norm]
msubst_var [in Norm]
msubst_closed [in Norm]
multistep__eval [in Smallstep]
multistep_congr_2 [in Smallstep]
multistep_congr_1 [in Smallstep]
multistep_App2 [in Norm]
multistep_preserves_R' [in Norm]
multistep_preserves_R [in Norm]
multi_trans [in Smallstep]
multi_R [in Smallstep]
mupdate_drop [in Norm]
mupdate_lookup [in Norm]

N

NaryExamples.demo_branch [in UseTactics]
NaryExamples.demo_splits [in UseTactics]
nat_le_refl [in UseAuto]
negation_study_2 [in UseAuto]
negation_study_1 [in UseAuto]
nf_same_as_value [in Smallstep]
nf_is_value [in Smallstep]
normalization [in Norm]
normalize_ex' [in Smallstep]
normalize_ex [in Smallstep]
normal_forms_unique [in Smallstep]

O

optimizer_sound [in Equiv]
optimize_0plus_com_sound [in Equiv]
optimize_0plus_bexp_sound [in Equiv]
optimize_0plus_aexp_sound [in Equiv]
order_matters_2 [in UseAuto]
order_matters_1 [in UseAuto]

P

parity_outer_triple_valid [in Hoare2]
parity_lt_2 [in Hoare2]
parity_ge_2 [in Hoare2]
pe_program_correct [in PE]
pe_block_correct [in PE]
pe_com_correct [in PE]
pe_com_sound [in PE]
pe_com_complete [in PE]
pe_compare_update [in PE]
pe_compare_removes [in PE]
pe_removes_correct [in PE]
pe_compare_correct [in PE]
pe_unique_correct [in PE]
pe_disagree_domain [in PE]
pe_update_update_add [in PE]
pe_update_update_remove [in PE]
pe_add_correct [in PE]
pe_remove_correct [in PE]
pe_bexp_correct [in PE]
pe_aexp_correct [in PE]
pe_consistent_update [in PE]
pe_update_consistent [in PE]
pe_update_correct [in PE]
pe_aexp_correct_weak [in PE]
pe_domain [in PE]
positive_difference_correct [in Hoare2]
pow2_le_1 [in Hoare2]
pow2_plus_1 [in Hoare2]
preservation [in Norm]
PreservationProgressReferences.nth_eq_last' [in UseAuto]
PreservationProgressReferences.preservation [in UseAuto]
PreservationProgressReferences.preservation_ref [in UseAuto]
PreservationProgressReferences.preservation' [in UseAuto]
PreservationProgressReferences.progress [in UseAuto]
PreservationProgressStlc.preservation [in UseAuto]
PreservationProgressStlc.preservation' [in UseAuto]
PreservationProgressStlc.progress [in UseAuto]
PreservationProgressStlc.progress' [in UseAuto]
provable_false_pre [in HoareAsLogic]
provable_true_post [in HoareAsLogic]

R

RecordSub.abs_arrow [in RecordSub]
RecordSub.canonical_forms_of_arrow_types [in RecordSub]
RecordSub.has_type__wf [in RecordSub]
RecordSub.lookup_field_in_value [in RecordSub]
RecordSub.preservation [in RecordSub]
RecordSub.progress [in RecordSub]
RecordSub.rcd_types_match [in RecordSub]
RecordSub.step_preserves_record_tm [in RecordSub]
RecordSub.substitution_preserves_typing [in RecordSub]
RecordSub.subtype__wf [in RecordSub]
RecordSub.sub_inversion_arrow [in RecordSub]
RecordSub.typing_inversion_abs [in RecordSub]
RecordSub.weakening [in RecordSub]
RecordSub.weakening_empty [in RecordSub]
RecordSub.wf_rcd_lookup [in RecordSub]
reduce_to_zero_correct''' [in Hoare2]
reduce_to_zero_correct' [in Hoare2]
refl_cequiv [in Equiv]
refl_bequiv [in Equiv]
refl_aequiv [in Equiv]
RepeatExercise.ex1_repeat_works [in Hoare]
RingDemo.ring_demo [in UseAuto]
R_typable_empty [in Norm]
R_halts [in Norm]

S

search_depth_5 [in UseAuto]
search_depth_4 [in UseAuto]
search_depth_3 [in UseAuto]
search_depth_1 [in UseAuto]
search_depth_0 [in UseAuto]
Semantics.multistep__eval'' [in UseAuto]
Semantics.multistep__eval' [in UseAuto]
Semantics.multistep_eval_ind [in UseAuto]
Semantics.multistep__eval [in UseAuto]
seq_assoc [in Equiv]
SimpleArith2.step_deterministic [in Smallstep]
SimpleArith3.step_deterministic_alt [in Smallstep]
SkipExample.ceval_deterministic [in UseTactics]
SkipExample.demo_admits [in UseTactics]
SkipExample.mult_plus_0 [in UseTactics]
skip_right [in Equiv]
skip_left [in Equiv]
slow_assignment [in Hoare2]
solved_by_jauto [in UseAuto]
solving_by_symmetry [in UseAuto]
solving_exists_hyp [in UseAuto]
solving_exists_goal [in UseAuto]
solving_tauto [in UseAuto]
solving_disj_hyp [in UseAuto]
solving_disj_goal [in UseAuto]
solving_conj_hyp_forall [in UseAuto]
solving_conj_more [in UseAuto]
solving_conj_hyp' [in UseAuto]
solving_conj_hyp [in UseAuto]
solving_conj_goal [in UseAuto]
solving_by_eapply [in UseAuto]
solving_by_apply [in UseAuto]
solving_by_reflexivity [in UseAuto]
SortExamples.ceval_deterministic [in UseTactics]
sqrt_correct [in Hoare2]
stack_step_deterministic [in Smallstep]
StepFunction.complete_stepf [in Typechecking]
StepFunction.complete_valuef [in Typechecking]
StepFunction.sound_stepf [in Typechecking]
StepFunction.sound_valuef [in Typechecking]
StepFunction.value_stepf_nf [in Typechecking]
step__eval [in Smallstep]
step_normalizing [in Smallstep]
step_deterministic [in Smallstep]
step_preserves_R' [in Norm]
step_preserves_R [in Norm]
step_preserves_halting [in Norm]
step_deterministic [in Norm]
STLCArith.preservation [in StlcProp]
STLCArith.progress [in StlcProp]
STLCArith.weakening [in StlcProp]
STLCChecker.type_checking_complete [in Typechecking]
STLCChecker.type_checking_sound [in Typechecking]
STLCExtendedRecords.has_type__wf [in Records]
STLCExtendedRecords.lookup_field_in_value [in Records]
STLCExtendedRecords.preservation [in Records]
STLCExtendedRecords.progress [in Records]
STLCExtendedRecords.step_preserves_record_tm [in Records]
STLCExtendedRecords.substitution_preserves_typing [in Records]
STLCExtendedRecords.typing_example_2 [in Records]
STLCExtendedRecords.weakening [in Records]
STLCExtendedRecords.weakening_empty [in Records]
STLCExtendedRecords.wf_rcd_lookup [in Records]
STLCExtended.preservation [in MoreStlc]
STLCExtended.progress [in MoreStlc]
STLCExtended.substitution_preserves_typing [in MoreStlc]
STLCExtended.weakening [in MoreStlc]
STLCExtended.weakening_empty [in MoreStlc]
STLCProp.canonical_forms_fun [in StlcProp]
STLCProp.canonical_forms_bool [in StlcProp]
STLCProp.context_invariance [in StlcProp]
STLCProp.free_in_context [in StlcProp]
STLCProp.not_subject_expansion [in StlcProp]
STLCProp.preservation [in StlcProp]
STLCProp.progress [in StlcProp]
STLCProp.progress' [in StlcProp]
STLCProp.substitution_preserves_typing_from_typing_ind [in StlcProp]
STLCProp.substitution_preserves_typing [in StlcProp]
STLCProp.typable_empty__closed [in StlcProp]
STLCProp.type_soundness [in StlcProp]
STLCProp.unique_types [in StlcProp]
STLCProp.weakening [in StlcProp]
STLCProp.weakening_empty [in StlcProp]
STLCRef.assign_pres_store_typing [in References]
STLCRef.cyclic_store [in References]
STLCRef.extends_refl [in References]
STLCRef.extends_app [in References]
STLCRef.extends_lookup [in References]
STLCRef.length_extends [in References]
STLCRef.length_replace [in References]
STLCRef.lookup_replace_neq [in References]
STLCRef.lookup_replace_eq [in References]
STLCRef.nth_eq_last [in References]
STLCRef.preservation [in References]
STLCRef.preservation_wrong2 [in References]
STLCRef.preservation_wrong1 [in References]
STLCRef.progress [in References]
STLCRef.RefsAndNontermination.factorial_type [in References]
STLCRef.RefsAndNontermination.loop_fun_step_self [in References]
STLCRef.RefsAndNontermination.loop_steps_to_loop_fun [in References]
STLCRef.RefsAndNontermination.loop_typeable [in References]
STLCRef.replace_nil [in References]
STLCRef.store_well_typed_app [in References]
STLCRef.store_weakening [in References]
STLCRef.store_not_unique [in References]
STLCRef.substitution_preserves_typing [in References]
STLCRef.weakening [in References]
STLCRef.weakening_empty [in References]
STLCSub.abs_arrow [in Sub]
STLCSub.canonical_forms_of_Bool [in Sub]
STLCSub.canonical_forms_of_arrow_types [in Sub]
STLCSub.FormalThoughtExercises.formal_smallest_2 [in Sub]
STLCSub.FormalThoughtExercises.formal_smallest_1 [in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_4 [in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_3 [in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_2 [in Sub]
STLCSub.FormalThoughtExercises.formal_small_large_1 [in Sub]
STLCSub.FormalThoughtExercises.formal_proper_subtypes [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfh [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfg [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tff [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfe [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfd [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfc [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfb [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_concepts_tfa [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2e [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2d [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2b [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_2a [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1g [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1f [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1e [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1d [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1c [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1b [in Sub]
STLCSub.FormalThoughtExercises.formal_subtype_instances_tf_1a [in Sub]
STLCSub.preservation [in Sub]
STLCSub.progress [in Sub]
STLCSub.substitution_preserves_typing [in Sub]
STLCSub.sub_inversion_Top [in Sub]
STLCSub.sub_inversion_Base [in Sub]
STLCSub.sub_inversion_Unit [in Sub]
STLCSub.sub_inversion_arrow [in Sub]
STLCSub.sub_inversion_Bool [in Sub]
STLCSub.typing_inversion_unit [in Sub]
STLCSub.typing_inversion_app [in Sub]
STLCSub.typing_inversion_var [in Sub]
STLCSub.typing_inversion_abs [in Sub]
STLCSub.weakening [in Sub]
STLCSub.weakening_empty [in Sub]
STLCTypes.eqb_ty__eq [in Typechecking]
STLCTypes.eqb_ty_refl [in Typechecking]
STLC.step_example5_with_normalize [in Stlc]
STLC.step_example5 [in Stlc]
STLC.step_example4' [in Stlc]
STLC.step_example3' [in Stlc]
STLC.step_example2' [in Stlc]
STLC.step_example1' [in Stlc]
STLC.step_example4 [in Stlc]
STLC.step_example3 [in Stlc]
STLC.step_example2 [in Stlc]
STLC.step_example1 [in Stlc]
STLC.substi_correct [in Stlc]
strong_progress [in Smallstep]
substitution_preserves_typing [in Norm]
subst_inequiv [in Equiv]
subst_msubst [in Norm]
subst_not_afi [in Norm]
subst_closed [in Norm]
subtract_slowly_outer_triple_valid [in Hoare2]
SubtypingInversion.abs_arrow' [in UseAuto]
SubtypingInversion.abs_arrow [in UseAuto]
swap_exercise [in Hoare]
swap_correct [in Hoare2]
swap_noninterfering_assignments [in Equiv]
swap_if_branches [in Equiv]
swap_subst [in Norm]
sym_cequiv [in Equiv]
sym_bequiv [in Equiv]
sym_aequiv [in Equiv]

T

Temp1.value_not_same_as_normal_form [in Smallstep]
Temp2.value_not_same_as_normal_form [in Smallstep]
Temp3.value_not_same_as_normal_form [in Smallstep]
Temp4.step_deterministic [in Smallstep]
Temp4.strong_progress_bool [in Smallstep]
test_multistep_4 [in Smallstep]
test_multistep_3 [in Smallstep]
test_multistep_2 [in Smallstep]
test_multistep_1' [in Smallstep]
test_multistep_1 [in Smallstep]
TM.bool_canonical [in Types]
TM.nat_canonical [in Types]
TM.preservation [in Types]
TM.preservation' [in Types]
TM.progress [in Types]
TM.soundness [in Types]
TM.step_deterministic [in Types]
TM.subject_expansion [in Types]
TM.value_is_nf [in Types]
transitivity_workaround_2 [in UseAuto]
transitivity_workaround_1 [in UseAuto]
transitivity_bad_hint_1 [in UseAuto]
trans_cequiv [in Equiv]
trans_bequiv [in Equiv]
trans_aequiv [in Equiv]
two_loops [in Hoare2]
typable_empty__closed [in Norm]
TypecheckerExtensions.eqb_ty__eq [in Typechecking]
TypecheckerExtensions.eqb_ty_refl [in Typechecking]
TypecheckerExtensions.type_checking_complete [in Typechecking]
TypecheckerExtensions.type_checking_sound [in Typechecking]

U

UnfoldsExample.bexp_eval_true [in UseTactics]

V

vacuous_substitution [in Norm]
value_is_nf [in Smallstep]
value_halts [in Norm]
value__normal [in Norm]
verification_correct_dec [in Hoare2]
verification_correct [in Hoare2]

W

weakening [in Norm]
weakening_empty [in Norm]
while_true [in Equiv]
while_true_nonterm [in Equiv]
while_false [in Equiv]
working_of_auto_2 [in UseAuto]
working_of_auto_1 [in UseAuto]
wp_invariant [in HoareAsLogic]
wp_seq [in HoareAsLogic]
wp_is_weakest [in HoareAsLogic]
wp_is_precondition [in HoareAsLogic]

Z

zprop_preserving [in Equiv]

---

Constructor Index

A

afi_snd [in Norm]
afi_fst [in Norm]
afi_pair2 [in Norm]
afi_pair1 [in Norm]
afi_test2 [in Norm]
afi_test1 [in Norm]
afi_test0 [in Norm]
afi_abs [in Norm]
afi_app2 [in Norm]
afi_app1 [in Norm]
afi_var [in Norm]
Assign [in PE]
AS_Mult [in Smallstep]
AS_Mult2 [in Smallstep]
AS_Mult1 [in Smallstep]
AS_Minus [in Smallstep]
AS_Minus2 [in Smallstep]
AS_Minus1 [in Smallstep]
AS_Plus [in Smallstep]
AS_Plus2 [in Smallstep]
AS_Plus1 [in Smallstep]
AS_Id [in Smallstep]
av_num [in Smallstep]

B

body [in PE]
boxer [in LibTactics]
BS_AndTrueFalse [in Smallstep]
BS_AndTrueTrue [in Smallstep]
BS_AndFalse [in Smallstep]
BS_AndTrueStep [in Smallstep]
BS_AndStep [in Smallstep]
BS_NotFalse [in Smallstep]
BS_NotTrue [in Smallstep]
BS_NotStep [in Smallstep]
BS_LtEq [in Smallstep]
BS_LtEq2 [in Smallstep]
BS_LtEq1 [in Smallstep]
BS_Eq [in Smallstep]
BS_Eq₂ [in Smallstep]
BS_Eq₁ [in Smallstep]

C

C [in Smallstep]
CImp.CAsgn [in Smallstep]
CImp.CIf [in Smallstep]
CImp.CPar [in Smallstep]
CImp.CSeq [in Smallstep]
CImp.CSkip [in Smallstep]
CImp.CS_ParDone [in Smallstep]
CImp.CS_Par2 [in Smallstep]
CImp.CS_Par1 [in Smallstep]
CImp.CS_While [in Smallstep]
CImp.CS_IfFalse [in Smallstep]
CImp.CS_IfTrue [in Smallstep]
CImp.CS_IfStep [in Smallstep]
CImp.CS_SeqFinish [in Smallstep]
CImp.CS_SeqStep [in Smallstep]
CImp.CS_Asgn [in Smallstep]
CImp.CS_AsgnStep [in Smallstep]
CImp.CWhile [in Smallstep]
Combined.C [in Smallstep]
Combined.fls [in Smallstep]
Combined.P [in Smallstep]
Combined.ST_If [in Smallstep]
Combined.ST_IfFalse [in Smallstep]
Combined.ST_IfTrue [in Smallstep]
Combined.ST_Plus2 [in Smallstep]
Combined.ST_Plus1 [in Smallstep]
Combined.ST_PlusConstConst [in Smallstep]
Combined.test [in Smallstep]
Combined.tru [in Smallstep]
Combined.v_fls [in Smallstep]
Combined.v_tru [in Smallstep]
Combined.v_const [in Smallstep]
CS_While [in Smallstep]
CS_IfFalse [in Smallstep]
CS_IfTrue [in Smallstep]
CS_IfStep [in Smallstep]
CS_SeqFinish [in Smallstep]
CS_SeqStep [in Smallstep]
CS_Asgn [in Smallstep]
CS_AsgnStep [in Smallstep]

D

DCAsgn [in Hoare2]
DCIf [in Hoare2]
DCPost [in Hoare2]
DCPre [in Hoare2]
DCSeq [in Hoare2]
DCSkip [in Hoare2]
DCWhile [in Hoare2]
Decorated [in Hoare2]
done [in PE]

E

entry [in PE]
E_Plus [in Smallstep]
E_Const [in Smallstep]
E_Some [in PE]
E_None [in PE]

G

Goto [in PE]

H

Himp.CAsgn [in Hoare]
Himp.CAsgn [in Equiv]
Himp.CHavoc [in Hoare]
Himp.CHavoc [in Equiv]
Himp.CIf [in Hoare]
Himp.CIf [in Equiv]
Himp.CSeq [in Hoare]
Himp.CSeq [in Equiv]
Himp.CSkip [in Hoare]
Himp.CSkip [in Equiv]
Himp.CWhile [in Hoare]
Himp.CWhile [in Equiv]
Himp.E_Havoc [in Hoare]
Himp.E_WhileTrue [in Hoare]
Himp.E_WhileFalse [in Hoare]
Himp.E_IfFalse [in Hoare]
Himp.E_IfTrue [in Hoare]
Himp.E_Seq [in Hoare]
Himp.E_Asgn [in Hoare]
Himp.E_Skip [in Hoare]
Himp.E_WhileTrue [in Equiv]
Himp.E_WhileFalse [in Equiv]
Himp.E_IfFalse [in Equiv]
Himp.E_IfTrue [in Equiv]
Himp.E_Seq [in Equiv]
Himp.E_Asgn [in Equiv]
Himp.E_Skip [in Equiv]
HoareAssertAssume.CAsgn [in Hoare]
HoareAssertAssume.CAssert [in Hoare]
HoareAssertAssume.CAssume [in Hoare]
HoareAssertAssume.CIf [in Hoare]
HoareAssertAssume.CSeq [in Hoare]
HoareAssertAssume.CSkip [in Hoare]
HoareAssertAssume.CWhile [in Hoare]
HoareAssertAssume.E_Assume [in Hoare]
HoareAssertAssume.E_AssertFalse [in Hoare]
HoareAssertAssume.E_AssertTrue [in Hoare]
HoareAssertAssume.E_WhileTrueError [in Hoare]
HoareAssertAssume.E_WhileTrueNormal [in Hoare]
HoareAssertAssume.E_WhileFalse [in Hoare]
HoareAssertAssume.E_IfFalse [in Hoare]
HoareAssertAssume.E_IfTrue [in Hoare]
HoareAssertAssume.E_SeqError [in Hoare]
HoareAssertAssume.E_SeqNormal [in Hoare]
HoareAssertAssume.E_Asgn [in Hoare]
HoareAssertAssume.E_Skip [in Hoare]
HoareAssertAssume.RError [in Hoare]
HoareAssertAssume.RNormal [in Hoare]
H_Consequence [in HoareAsLogic]
H_While [in HoareAsLogic]
H_If [in HoareAsLogic]
H_Seq [in HoareAsLogic]
H_Asgn [in HoareAsLogic]
H_Skip [in HoareAsLogic]

I

If [in PE]
If₁.CAsgn [in Hoare]
If₁.CIf [in Hoare]
If₁.CIf1 [in Hoare]
If₁.CSeq [in Hoare]
If₁.CSkip [in Hoare]
If₁.CWhile [in Hoare]
If₁.E_WhileTrue [in Hoare]
If₁.E_WhileFalse [in Hoare]
If₁.E_IfFalse [in Hoare]
If₁.E_IfTrue [in Hoare]
If₁.E_Seq [in Hoare]
If₁.E_Asgn [in Hoare]
If₁.E_Skip [in Hoare]

L

loop [in PE]
Loop.E'Asgn [in PE]
Loop.E'IfFalse [in PE]
Loop.E'IfTrue [in PE]
Loop.E'Seq [in PE]
Loop.E'Skip [in PE]
Loop.E'WhileFalse [in PE]
Loop.E'WhileTrue [in PE]
Loop.pe_ceval_count_intro [in PE]
Loop.PE_WhileFixed [in PE]
Loop.PE_WhileFixedLoop [in PE]
Loop.PE_WhileFixedEnd [in PE]
Loop.PE_While [in PE]
Loop.PE_WhileTrue [in PE]
Loop.PE_WhileFalse [in PE]
Loop.PE_If [in PE]
Loop.PE_IfFalse [in PE]
Loop.PE_IfTrue [in PE]
Loop.PE_Seq [in PE]
Loop.PE_AsgnDynamic [in PE]
Loop.PE_AsgnStatic [in PE]
Loop.PE_Skip [in PE]
ltac_goal_to_discard_intro [in LibTactics]
ltac_database_token [in LibTactics]
ltac_mark [in LibTactics]
ltac_wilds [in LibTactics]
ltac_wild [in LibTactics]
ltac_no_arg [in LibTactics]

M

multi_step [in Smallstep]
multi_refl [in Smallstep]

P

P [in Smallstep]
pe_peval_intro [in PE]
pe_ceval_intro [in PE]
PE_If [in PE]
PE_IfFalse [in PE]
PE_IfTrue [in PE]
PE_Seq [in PE]
PE_AsgnDynamic [in PE]
PE_AsgnStatic [in PE]
PE_Skip [in PE]

R

RecordSub.rtcons [in RecordSub]
RecordSub.RTcons [in RecordSub]
RecordSub.rtnil [in RecordSub]
RecordSub.RTnil [in RecordSub]
RecordSub.ST_Rcd_Tail [in RecordSub]
RecordSub.ST_Rcd_Head [in RecordSub]
RecordSub.ST_ProjRcd [in RecordSub]
RecordSub.ST_Proj1 [in RecordSub]
RecordSub.ST_App2 [in RecordSub]
RecordSub.ST_App1 [in RecordSub]
RecordSub.ST_AppAbs [in RecordSub]
RecordSub.S_RcdPerm [in RecordSub]
RecordSub.S_RcdDepth [in RecordSub]
RecordSub.S_RcdWidth [in RecordSub]
RecordSub.S_Arrow [in RecordSub]
RecordSub.S_Top [in RecordSub]
RecordSub.S_Trans [in RecordSub]
RecordSub.S_Refl [in RecordSub]
RecordSub.tm_rcons [in RecordSub]
RecordSub.tm_rnil [in RecordSub]
RecordSub.tm_rproj [in RecordSub]
RecordSub.tm_abs [in RecordSub]
RecordSub.tm_app [in RecordSub]
RecordSub.tm_var [in RecordSub]
RecordSub.Ty_RCons [in RecordSub]
RecordSub.Ty_RNil [in RecordSub]
RecordSub.Ty_Arrow [in RecordSub]
RecordSub.Ty_Base [in RecordSub]
RecordSub.Ty_Top [in RecordSub]
RecordSub.T_RCons [in RecordSub]
RecordSub.T_RNil [in RecordSub]
RecordSub.T_Sub [in RecordSub]
RecordSub.T_Proj [in RecordSub]
RecordSub.T_App [in RecordSub]
RecordSub.T_Abs [in RecordSub]
RecordSub.T_Var [in RecordSub]
RecordSub.v_rcons [in RecordSub]
RecordSub.v_rnil [in RecordSub]
RecordSub.v_abs [in RecordSub]
RecordSub.wfArrow [in RecordSub]
RecordSub.wfBase [in RecordSub]
RecordSub.wfRCons [in RecordSub]
RecordSub.wfRNil [in RecordSub]
RecordSub.wfTop [in RecordSub]
RepeatExercise.CAsgn [in Hoare]
RepeatExercise.CIf [in Hoare]
RepeatExercise.CRepeat [in Hoare]
RepeatExercise.CSeq [in Hoare]
RepeatExercise.CSkip [in Hoare]
RepeatExercise.CWhile [in Hoare]
RepeatExercise.E_WhileTrue [in Hoare]
RepeatExercise.E_WhileFalse [in Hoare]
RepeatExercise.E_IfFalse [in Hoare]
RepeatExercise.E_IfTrue [in Hoare]
RepeatExercise.E_Seq [in Hoare]
RepeatExercise.E_Asgn [in Hoare]
RepeatExercise.E_Skip [in Hoare]

S

SimpleArith1.ST_Plus2 [in Smallstep]
SimpleArith1.ST_Plus1 [in Smallstep]
SimpleArith1.ST_PlusConstConst [in Smallstep]
SS_Mult [in Smallstep]
SS_Minus [in Smallstep]
SS_Plus [in Smallstep]
SS_Load [in Smallstep]
SS_Push [in Smallstep]
STLCArith.tm_if₀ [in StlcProp]
STLCArith.tm_mult [in StlcProp]
STLCArith.tm_pred [in StlcProp]
STLCArith.tm_succ [in StlcProp]
STLCArith.tm_const [in StlcProp]
STLCArith.tm_abs [in StlcProp]
STLCArith.tm_app [in StlcProp]
STLCArith.tm_var [in StlcProp]
STLCArith.Ty_Nat [in StlcProp]
STLCArith.Ty_Arrow [in StlcProp]
STLCExtendedRecords.FirstTry.Arrow [in Records]
STLCExtendedRecords.FirstTry.Base [in Records]
STLCExtendedRecords.FirstTry.TRcd [in Records]
STLCExtendedRecords.rtcons [in Records]
STLCExtendedRecords.RTcons [in Records]
STLCExtendedRecords.rtnil [in Records]
STLCExtendedRecords.RTnil [in Records]
STLCExtendedRecords.ST_Rcd_Tail [in Records]
STLCExtendedRecords.ST_Rcd_Head [in Records]
STLCExtendedRecords.ST_ProjRcd [in Records]
STLCExtendedRecords.ST_Proj1 [in Records]
STLCExtendedRecords.ST_App2 [in Records]
STLCExtendedRecords.ST_App1 [in Records]
STLCExtendedRecords.ST_AppAbs [in Records]
STLCExtendedRecords.tm_rcons [in Records]
STLCExtendedRecords.tm_rnil [in Records]
STLCExtendedRecords.tm_rproj [in Records]
STLCExtendedRecords.tm_abs [in Records]
STLCExtendedRecords.tm_app [in Records]
STLCExtendedRecords.tm_var [in Records]
STLCExtendedRecords.Ty_RCons [in Records]
STLCExtendedRecords.Ty_RNil [in Records]
STLCExtendedRecords.Ty_Arrow [in Records]
STLCExtendedRecords.Ty_Base [in Records]
STLCExtendedRecords.T_RCons [in Records]
STLCExtendedRecords.T_RNil [in Records]
STLCExtendedRecords.T_Proj [in Records]
STLCExtendedRecords.T_App [in Records]
STLCExtendedRecords.T_Abs [in Records]
STLCExtendedRecords.T_Var [in Records]
STLCExtendedRecords.v_rcons [in Records]
STLCExtendedRecords.v_rnil [in Records]
STLCExtendedRecords.v_abs [in Records]
STLCExtendedRecords.wfArrow [in Records]
STLCExtendedRecords.wfBase [in Records]
STLCExtendedRecords.wfRCons [in Records]
STLCExtendedRecords.wfRNil [in Records]
STLCExtended.ST_LcaseCons [in MoreStlc]
STLCExtended.ST_LcaseNil [in MoreStlc]
STLCExtended.ST_Lcase1 [in MoreStlc]
STLCExtended.ST_Cons2 [in MoreStlc]
STLCExtended.ST_Cons1 [in MoreStlc]
STLCExtended.ST_CaseInr [in MoreStlc]
STLCExtended.ST_CaseInl [in MoreStlc]
STLCExtended.ST_Case [in MoreStlc]
STLCExtended.ST_Inr [in MoreStlc]
STLCExtended.ST_Inl [in MoreStlc]
STLCExtended.ST_If0_Nonzero [in MoreStlc]
STLCExtended.ST_If0_Zero [in MoreStlc]
STLCExtended.ST_If₀ [in MoreStlc]
STLCExtended.ST_Mult2 [in MoreStlc]
STLCExtended.ST_Mult1 [in MoreStlc]
STLCExtended.ST_Mulconsts [in MoreStlc]
STLCExtended.ST_PredNat [in MoreStlc]
STLCExtended.ST_Pred [in MoreStlc]
STLCExtended.ST_SuccNat [in MoreStlc]
STLCExtended.ST_Succ [in MoreStlc]
STLCExtended.ST_App2 [in MoreStlc]
STLCExtended.ST_App1 [in MoreStlc]
STLCExtended.ST_AppAbs [in MoreStlc]
STLCExtended.tm_fix [in MoreStlc]
STLCExtended.tm_let [in MoreStlc]
STLCExtended.tm_snd [in MoreStlc]
STLCExtended.tm_fst [in MoreStlc]
STLCExtended.tm_pair [in MoreStlc]
STLCExtended.tm_unit [in MoreStlc]
STLCExtended.tm_lcase [in MoreStlc]
STLCExtended.tm_cons [in MoreStlc]
STLCExtended.tm_nil [in MoreStlc]
STLCExtended.tm_case [in MoreStlc]
STLCExtended.tm_inr [in MoreStlc]
STLCExtended.tm_inl [in MoreStlc]
STLCExtended.tm_if₀ [in MoreStlc]
STLCExtended.tm_mult [in MoreStlc]
STLCExtended.tm_pred [in MoreStlc]
STLCExtended.tm_succ [in MoreStlc]
STLCExtended.tm_const [in MoreStlc]
STLCExtended.tm_abs [in MoreStlc]
STLCExtended.tm_app [in MoreStlc]
STLCExtended.tm_var [in MoreStlc]
STLCExtended.Ty_Prod [in MoreStlc]
STLCExtended.Ty_Unit [in MoreStlc]
STLCExtended.Ty_List [in MoreStlc]
STLCExtended.Ty_Sum [in MoreStlc]
STLCExtended.Ty_Nat [in MoreStlc]
STLCExtended.Ty_Arrow [in MoreStlc]
STLCExtended.T_Unit [in MoreStlc]
STLCExtended.T_Lcase [in MoreStlc]
STLCExtended.T_Cons [in MoreStlc]
STLCExtended.T_Nil [in MoreStlc]
STLCExtended.T_Case [in MoreStlc]
STLCExtended.T_Inr [in MoreStlc]
STLCExtended.T_Inl [in MoreStlc]
STLCExtended.T_If₀ [in MoreStlc]
STLCExtended.T_Mult [in MoreStlc]
STLCExtended.T_Pred [in MoreStlc]
STLCExtended.T_Succ [in MoreStlc]
STLCExtended.T_Nat [in MoreStlc]
STLCExtended.T_App [in MoreStlc]
STLCExtended.T_Abs [in MoreStlc]
STLCExtended.T_Var [in MoreStlc]
STLCExtended.v_pair [in MoreStlc]
STLCExtended.v_unit [in MoreStlc]
STLCExtended.v_lcons [in MoreStlc]
STLCExtended.v_lnil [in MoreStlc]
STLCExtended.v_inr [in MoreStlc]
STLCExtended.v_inl [in MoreStlc]
STLCExtended.v_nat [in MoreStlc]
STLCExtended.v_abs [in MoreStlc]
STLCProp.afi_if₃ [in StlcProp]
STLCProp.afi_if₂ [in StlcProp]
STLCProp.afi_if₁ [in StlcProp]
STLCProp.afi_abs [in StlcProp]
STLCProp.afi_app2 [in StlcProp]
STLCProp.afi_app1 [in StlcProp]
STLCProp.afi_var [in StlcProp]
STLCRef.extends_cons [in References]
STLCRef.extends_nil [in References]
STLCRef.RefsAndNontermination.sc_step [in References]
STLCRef.RefsAndNontermination.sc_one [in References]
STLCRef.ST_Assign2 [in References]
STLCRef.ST_Assign1 [in References]
STLCRef.ST_Assign [in References]
STLCRef.ST_Deref [in References]
STLCRef.ST_DerefLoc [in References]
STLCRef.ST_Ref [in References]
STLCRef.ST_RefValue [in References]
STLCRef.ST_If0_Nonzero [in References]
STLCRef.ST_If0_Zero [in References]
STLCRef.ST_If₀ [in References]
STLCRef.ST_Mult2 [in References]
STLCRef.ST_Mult1 [in References]
STLCRef.ST_MultNats [in References]
STLCRef.ST_Pred [in References]
STLCRef.ST_PredNat [in References]
STLCRef.ST_Succ [in References]
STLCRef.ST_SuccNat [in References]
STLCRef.ST_App2 [in References]
STLCRef.ST_App1 [in References]
STLCRef.ST_AppAbs [in References]
STLCRef.tm_loc [in References]
STLCRef.tm_assign [in References]
STLCRef.tm_deref [in References]
STLCRef.tm_ref [in References]
STLCRef.tm_unit [in References]
STLCRef.tm_if₀ [in References]
STLCRef.tm_mult [in References]
STLCRef.tm_pred [in References]
STLCRef.tm_succ [in References]
STLCRef.tm_const [in References]
STLCRef.tm_abs [in References]
STLCRef.tm_app [in References]
STLCRef.tm_var [in References]
STLCRef.Ty_Ref [in References]
STLCRef.Ty_Arrow [in References]
STLCRef.Ty_Unit [in References]
STLCRef.Ty_Nat [in References]
STLCRef.T_Assign [in References]
STLCRef.T_Deref [in References]
STLCRef.T_Ref [in References]
STLCRef.T_Loc [in References]
STLCRef.T_Unit [in References]
STLCRef.T_If₀ [in References]
STLCRef.T_Mult [in References]
STLCRef.T_Pred [in References]
STLCRef.T_Succ [in References]
STLCRef.T_Nat [in References]
STLCRef.T_App [in References]
STLCRef.T_Abs [in References]
STLCRef.T_Var [in References]
STLCRef.v_loc [in References]
STLCRef.v_unit [in References]
STLCRef.v_nat [in References]
STLCRef.v_abs [in References]
STLCSub.ST_If [in Sub]
STLCSub.ST_IfFalse [in Sub]
STLCSub.ST_IfTrue [in Sub]
STLCSub.ST_App2 [in Sub]
STLCSub.ST_App1 [in Sub]
STLCSub.ST_AppAbs [in Sub]
STLCSub.S_Arrow [in Sub]
STLCSub.S_Top [in Sub]
STLCSub.S_Trans [in Sub]
STLCSub.S_Refl [in Sub]
STLCSub.tm_snd [in Sub]
STLCSub.tm_fst [in Sub]
STLCSub.tm_pair [in Sub]
STLCSub.tm_unit [in Sub]
STLCSub.tm_if [in Sub]
STLCSub.tm_false [in Sub]
STLCSub.tm_true [in Sub]
STLCSub.tm_abs [in Sub]
STLCSub.tm_app [in Sub]
STLCSub.tm_var [in Sub]
STLCSub.Ty_Prod [in Sub]
STLCSub.Ty_Unit [in Sub]
STLCSub.Ty_Arrow [in Sub]
STLCSub.Ty_Base [in Sub]
STLCSub.Ty_Bool [in Sub]
STLCSub.Ty_Top [in Sub]
STLCSub.T_Sub [in Sub]
STLCSub.T_Unit [in Sub]
STLCSub.T_If [in Sub]
STLCSub.T_False [in Sub]
STLCSub.T_True [in Sub]
STLCSub.T_App [in Sub]
STLCSub.T_Abs [in Sub]
STLCSub.T_Var [in Sub]
STLCSub.v_unit [in Sub]
STLCSub.v_false [in Sub]
STLCSub.v_true [in Sub]
STLCSub.v_abs [in Sub]
STLC.ST_If [in Stlc]
STLC.ST_IfFalse [in Stlc]
STLC.ST_IfTrue [in Stlc]
STLC.ST_App2 [in Stlc]
STLC.ST_App1 [in Stlc]
STLC.ST_AppAbs [in Stlc]
STLC.s_var1 [in Stlc]
STLC.tm_if [in Stlc]
STLC.tm_false [in Stlc]
STLC.tm_true [in Stlc]
STLC.tm_abs [in Stlc]
STLC.tm_app [in Stlc]
STLC.tm_var [in Stlc]
STLC.Ty_Arrow [in Stlc]
STLC.Ty_Bool [in Stlc]
STLC.T_If [in Stlc]
STLC.T_False [in Stlc]
STLC.T_True [in Stlc]
STLC.T_App [in Stlc]
STLC.T_Abs [in Stlc]
STLC.T_Var [in Stlc]
STLC.v_false [in Stlc]
STLC.v_true [in Stlc]
STLC.v_abs [in Stlc]
ST_Plus2 [in Smallstep]
ST_Plus1 [in Smallstep]
ST_PlusConstConst [in Smallstep]
ST_SndPair [in Norm]
ST_Snd1 [in Norm]
ST_FstPair [in Norm]
ST_Fst1 [in Norm]
ST_Pair2 [in Norm]
ST_Pair1 [in Norm]
ST_If [in Norm]
ST_IfFalse [in Norm]
ST_IfTrue [in Norm]
ST_App2 [in Norm]
ST_App1 [in Norm]
ST_AppAbs [in Norm]

T

Temp1.ST_Plus2 [in Smallstep]
Temp1.ST_Plus1 [in Smallstep]
Temp1.ST_PlusConstConst [in Smallstep]
Temp1.v_funny [in Smallstep]
Temp1.v_const [in Smallstep]
Temp2.ST_Plus2 [in Smallstep]
Temp2.ST_Plus1 [in Smallstep]
Temp2.ST_PlusConstConst [in Smallstep]
Temp2.ST_Funny [in Smallstep]
Temp2.v_const [in Smallstep]
Temp3.ST_Plus1 [in Smallstep]
Temp3.ST_PlusConstConst [in Smallstep]
Temp3.v_const [in Smallstep]
Temp4.fls [in Smallstep]
Temp4.ST_If [in Smallstep]
Temp4.ST_IfFalse [in Smallstep]
Temp4.ST_IfTrue [in Smallstep]
Temp4.Temp5.ST_If [in Smallstep]
Temp4.Temp5.ST_IfFalse [in Smallstep]
Temp4.Temp5.ST_IfTrue [in Smallstep]
Temp4.test [in Smallstep]
Temp4.tru [in Smallstep]
Temp4.v_fls [in Smallstep]
Temp4.v_tru [in Smallstep]
tm_snd [in Norm]
tm_fst [in Norm]
tm_pair [in Norm]
tm_if [in Norm]
tm_false [in Norm]
tm_true [in Norm]
tm_abs [in Norm]
tm_app [in Norm]
tm_var [in Norm]
TM.Bool [in Types]
TM.bv_false [in Types]
TM.bv_True [in Types]
TM.fls [in Types]
TM.iszro [in Types]
TM.ite [in Types]
TM.Nat [in Types]
TM.nv_succ [in Types]
TM.nv_0 [in Types]
TM.prd [in Types]
TM.scc [in Types]
TM.ST_Iszero [in Types]
TM.ST_IszeroSucc [in Types]
TM.ST_Iszero0 [in Types]
TM.ST_Pred [in Types]
TM.ST_PredSucc [in Types]
TM.ST_Pred0 [in Types]
TM.ST_Succ [in Types]
TM.ST_If [in Types]
TM.ST_IfFalse [in Types]
TM.ST_IfTrue [in Types]
TM.tru [in Types]
TM.T_Iszero [in Types]
TM.T_Pred [in Types]
TM.T_Succ [in Types]
TM.T_0 [in Types]
TM.T_If [in Types]
TM.T_False [in Types]
TM.T_True [in Types]
TM.zro [in Types]
Ty_Prod [in Norm]
Ty_Arrow [in Norm]
Ty_Bool [in Norm]
T_Snd [in Norm]
T_Fst [in Norm]
T_Pair [in Norm]
T_If [in Norm]
T_False [in Norm]
T_True [in Norm]
T_App [in Norm]
T_Abs [in Norm]
T_Var [in Norm]

V

VNUId [in Equiv]
VNUMinus [in Equiv]
VNUMult [in Equiv]
VNUNum [in Equiv]
VNUPlus [in Equiv]
v_const [in Smallstep]
V_cons [in Norm]
V_nil [in Norm]
v_pair [in Norm]
v_false [in Norm]
v_true [in Norm]
v_abs [in Norm]

---

Axiom Index

E

EqualityExamples.big_expression_using [in UseTactics]
ExamplesLets.typing_inversion_var [in UseTactics]

G

gt_not_le [in UseAuto]

I

inj_pair2 [in LibTactics]

L

le_gt_false [in UseAuto]
le_not_gt [in UseAuto]

P

P [in UseAuto]

S

skip_axiom [in LibTactics]
subtype [in UseAuto]
subtype_trans [in UseAuto]
subtype_refl [in UseAuto]

T

typ [in UseAuto]

---

Inductive Index

A

appears_free_in [in Norm]
astep [in Smallstep]
aval [in Smallstep]

B

block [in PE]
Boxer [in LibTactics]
bstep [in Smallstep]

C

CImp.com [in Smallstep]
CImp.cstep [in Smallstep]
Combined.step [in Smallstep]
Combined.tm [in Smallstep]
Combined.value [in Smallstep]
cstep [in Smallstep]

D

dcom [in Hoare2]
decorated [in Hoare2]
derivable [in HoareAsLogic]

E

eval [in Smallstep]

H

has_type [in Norm]
Himp.ceval [in Hoare]
Himp.ceval [in Equiv]
Himp.com [in Hoare]
Himp.com [in Equiv]
HoareAssertAssume.ceval [in Hoare]
HoareAssertAssume.com [in Hoare]
HoareAssertAssume.result [in Hoare]

I

If₁.ceval [in Hoare]
If₁.com [in Hoare]
instantiation [in Norm]

L

Loop.ceval_count [in PE]
Loop.pe_ceval_count [in PE]
Loop.pe_com [in PE]
ltac_goal_to_discard [in LibTactics]
Ltac_database_token [in LibTactics]
ltac_Mark [in LibTactics]
ltac_Wilds [in LibTactics]
ltac_Wild [in LibTactics]
ltac_No_arg [in LibTactics]

M

multi [in Smallstep]

P

parity_label [in PE]
peval [in PE]
pe_peval [in PE]
pe_ceval [in PE]
pe_com [in PE]

R

RecordSub.has_type [in RecordSub]
RecordSub.record_tm [in RecordSub]
RecordSub.record_ty [in RecordSub]
RecordSub.step [in RecordSub]
RecordSub.subtype [in RecordSub]
RecordSub.tm [in RecordSub]
RecordSub.ty [in RecordSub]
RecordSub.value [in RecordSub]
RecordSub.well_formed_ty [in RecordSub]
RepeatExercise.ceval [in Hoare]
RepeatExercise.com [in Hoare]

S

SimpleArith1.step [in Smallstep]
stack_step [in Smallstep]
step [in Smallstep]
step [in Norm]
STLCArith.has_type [in StlcProp]
STLCArith.step [in StlcProp]
STLCArith.tm [in StlcProp]
STLCArith.ty [in StlcProp]
STLCArith.value [in StlcProp]
STLCExtendedRecords.FirstTry.ty [in Records]
STLCExtendedRecords.has_type [in Records]
STLCExtendedRecords.record_tm [in Records]
STLCExtendedRecords.record_ty [in Records]
STLCExtendedRecords.step [in Records]
STLCExtendedRecords.tm [in Records]
STLCExtendedRecords.ty [in Records]
STLCExtendedRecords.value [in Records]
STLCExtendedRecords.well_formed_ty [in Records]
STLCExtended.has_type [in MoreStlc]
STLCExtended.step [in MoreStlc]
STLCExtended.tm [in MoreStlc]
STLCExtended.ty [in MoreStlc]
STLCExtended.value [in MoreStlc]
STLCProp.appears_free_in [in StlcProp]
STLCRef.extends [in References]
STLCRef.has_type [in References]
STLCRef.RefsAndNontermination.step_closure [in References]
STLCRef.step [in References]
STLCRef.tm [in References]
STLCRef.ty [in References]
STLCRef.value [in References]
STLCSub.has_type [in Sub]
STLCSub.step [in Sub]
STLCSub.subtype [in Sub]
STLCSub.tm [in Sub]
STLCSub.ty [in Sub]
STLCSub.value [in Sub]
STLC.has_type [in Stlc]
STLC.step [in Stlc]
STLC.substi [in Stlc]
STLC.tm [in Stlc]
STLC.ty [in Stlc]
STLC.value [in Stlc]

T

Temp1.step [in Smallstep]
Temp1.value [in Smallstep]
Temp2.step [in Smallstep]
Temp2.value [in Smallstep]
Temp3.step [in Smallstep]
Temp3.value [in Smallstep]
Temp4.step [in Smallstep]
Temp4.Temp5.step [in Smallstep]
Temp4.tm [in Smallstep]
Temp4.value [in Smallstep]
tm [in Smallstep]
tm [in Norm]
TM.bvalue [in Types]
TM.has_type [in Types]
TM.nvalue [in Types]
TM.step [in Types]
TM.tm [in Types]
TM.ty [in Types]
ty [in Norm]

V

value [in Smallstep]
value [in Norm]
var_not_used_in_aexp [in Equiv]

---

Section Index

D

DemoAbsurd1 [in UseAuto]

E

equatesLemma [in LibTactics]

F

FuncEq [in LibTactics]

H

HintsTransitivity [in UseAuto]

---

Abbreviation Index

A

assert [in Hoare]

M

mkAexp [in Hoare]
multistep [in Norm]

R

RecordSub.Examples.A [in RecordSub]
RecordSub.Examples.B [in RecordSub]
RecordSub.Examples.C [in RecordSub]
RecordSub.Examples.i [in RecordSub]
RecordSub.Examples.j [in RecordSub]
RecordSub.Examples.k [in RecordSub]
RecordSub.Examples.x [in RecordSub]
RecordSub.Examples.y [in RecordSub]
RecordSub.Examples.z [in RecordSub]

S

step_normal_form [in Norm]
STLCArith.multistep [in StlcProp]
STLCExtendedRecords.A [in Records]
STLCExtendedRecords.a [in Records]
STLCExtendedRecords.B [in Records]
STLCExtendedRecords.f [in Records]
STLCExtendedRecords.g [in Records]
STLCExtendedRecords.i1 [in Records]
STLCExtendedRecords.i2 [in Records]
STLCExtendedRecords.k [in Records]
STLCExtendedRecords.l [in Records]
STLCExtendedRecords.multistep [in Records]
STLCExtended.Examples.a [in MoreStlc]
STLCExtended.Examples.eo [in MoreStlc]
STLCExtended.Examples.eq [in MoreStlc]
STLCExtended.Examples.even [in MoreStlc]
STLCExtended.Examples.evenodd [in MoreStlc]
STLCExtended.Examples.f [in MoreStlc]
STLCExtended.Examples.g [in MoreStlc]
STLCExtended.Examples.i1 [in MoreStlc]
STLCExtended.Examples.i2 [in MoreStlc]
STLCExtended.Examples.k [in MoreStlc]
STLCExtended.Examples.l [in MoreStlc]
STLCExtended.Examples.m [in MoreStlc]
STLCExtended.Examples.n [in MoreStlc]
STLCExtended.Examples.odd [in MoreStlc]
STLCExtended.Examples.processSum [in MoreStlc]
STLCExtended.Examples.x [in MoreStlc]
STLCExtended.Examples.y [in MoreStlc]
STLCExtended.multistep [in MoreStlc]
STLCSub.Examples.A [in Sub]
STLCSub.Examples.B [in Sub]
STLCSub.Examples.C [in Sub]
STLCSub.Examples.Float [in Sub]
STLCSub.Examples.Integer [in Sub]
STLCSub.Examples.String [in Sub]
STLCSub.Examples.x [in Sub]
STLCSub.Examples.y [in Sub]
STLCSub.Examples.z [in Sub]
STLCSub.FormalThoughtExercises.a [in Sub]
STLCSub.FormalThoughtExercises.p [in Sub]
STLC.idB [in Stlc]
STLC.idBB [in Stlc]
STLC.idBBBB [in Stlc]
STLC.k [in Stlc]
STLC.multistep [in Stlc]
STLC.notB [in Stlc]

T

TM.step_normal_form [in Types]

---

Definition Index

A

aequiv [in Equiv]
Aexp [in Hoare]
Aexp_of_aexp [in Hoare]
Aexp_of_nat [in Hoare]
ap [in Hoare]
ap₂ [in Hoare]
Assertion [in Hoare]
assert_of_Prop [in Hoare]
assert_implies [in Hoare]
assign [in PE]
assigned [in PE]
assn_sub_ex₂' [in Hoare]
assn_sub_ex₁' [in Hoare]
assn_sub_example2'' [in Hoare]
assn_sub_example2' [in Hoare]
assn_sub_example2 [in Hoare]
assn_sub_example [in Hoare]
assn_sub [in Hoare]
atrans_sound [in Equiv]

B

bassn [in Hoare]
bequiv [in Equiv]
btrans_sound [in Equiv]

C

capprox [in Equiv]
cequiv [in Equiv]
CImp.cmultistep [in Smallstep]
CImp.par_loop_example_2 [in Smallstep]
CImp.par_loop_example_0 [in Smallstep]
CImp.par_loop [in Smallstep]
closed [in Norm]
closed_env [in Norm]
cmin [in Equiv]
COIND [in LibTactics]
compiler_is_correct_statement [in Smallstep]
congruence_example [in Equiv]
context [in Norm]
ctrans_sound [in Equiv]
c₃ [in Equiv]
c₄ [in Equiv]

D

dec_while_triple_correct [in Hoare2]
dec_while [in Hoare2]
dec0 [in Hoare2]
dec1 [in Hoare2]
deterministic [in Smallstep]
dfib [in Hoare2]
div_mod_dec [in Hoare2]
dpow2_dec [in Hoare2]
drop [in Norm]

E

empty_pe_state [in PE]
env [in Norm]
equiv_classes [in Equiv]
eq' [in LibTactics]
evalF [in Smallstep]
ExamplePrettyAssertions.assn1 [in Hoare]
ExamplePrettyAssertions.assn2 [in Hoare]
ExamplePrettyAssertions.assn3 [in Hoare]
ExamplePrettyAssertions.assn4 [in Hoare]
ExamplePrettyAssertions.ex1 [in Hoare]
ExamplePrettyAssertions.ex2 [in Hoare]
ExamplePrettyAssertions.ex3 [in Hoare]
ExAssertions.assn1 [in Hoare]
ExAssertions.assn2 [in Hoare]
ExAssertions.assn3 [in Hoare]
ExAssertions.assn4 [in Hoare]
extract [in Hoare2]
extract_while_ex [in Hoare2]
extract_dec [in Hoare2]

F

factorial_dec [in Hoare2]
fib [in Hoare2]
FILL_IN_HERE [in Smallstep]
FILL_IN_HERE [in Hoare2]
FirstTry.type_check [in Typechecking]
fold_com_ex₁ [in Equiv]
fold_constants_com [in Equiv]
fold_bexp_ex₂ [in Equiv]
fold_bexp_ex₁ [in Equiv]
fold_constants_bexp [in Equiv]
fold_aexp_ex₂ [in Equiv]
fold_aexp_ex₁ [in Equiv]
fold_constants_aexp [in Equiv]

H

halts [in Norm]
Himp.cequiv [in Equiv]
Himp.havoc_pre [in Hoare]
Himp.havoc_example2 [in Equiv]
Himp.havoc_example1 [in Equiv]
Himp.hoare_triple [in Hoare]
Himp.manual_grade_for_Check_rule_for_HAVOC [in Equiv]
Himp.pcopy [in Equiv]
Himp.ptwice [in Equiv]
Himp.pXY [in Equiv]
Himp.pYX [in Equiv]
Himp.p1 [in Equiv]
Himp.p2 [in Equiv]
Himp.p3 [in Equiv]
Himp.p4 [in Equiv]
Himp.p5 [in Equiv]
Himp.p6 [in Equiv]
HoareAssertAssume.assert_assume_example [in Hoare]
HoareAssertAssume.hoare_triple [in Hoare]
hoare_asgn_example4 [in Hoare]
hoare_asgn_example3 [in Hoare]
hoare_asgn_example1''' [in Hoare]
hoare_asgn_example1'' [in Hoare]
hoare_asgn_example1' [in Hoare]
hoare_asgn_example1 [in Hoare]
hoare_asgn_examples2 [in Hoare]
hoare_asgn_examples1 [in Hoare]
hoare_triple [in Hoare]

I

if_example''' [in Hoare]
if_example'' [in Hoare]
if_example [in Hoare]
if_minus_plus_dec [in Hoare2]
If₁.hoare_triple [in Hoare]
If₁.if1false_test [in Hoare]
If₁.if1true_test [in Hoare]
If₁.manual_grade_for_hoare_if₁ [in Hoare]
inb [in PE]
InvertsExamples1.typing_nonexample_1 [in UseTactics]
is_wp [in Hoare2]

K

keval [in PE]
keval_example [in PE]

L

lookup [in Norm]
Loop.pe_loop_example4 [in PE]
Loop.pe_loop_example3 [in PE]
Loop.pe_loop_example2 [in PE]
Loop.pe_loop_example1 [in PE]
Loop.square_loop [in PE]
ltac_something [in LibTactics]
ltac_to_generalize [in LibTactics]
ltac_tag_subst [in LibTactics]
ltac_int_to_nat [in LibTactics]
ltac_database [in LibTactics]

M

manual_grade_for_eval__multistep_inf [in Smallstep]
manual_grade_for_hoare_repeat [in Hoare]
manual_grade_for_hoare_asgn_wrong [in Hoare]
manual_grade_for_not_congr [in Equiv]
manual_grade_for_equiv_classes [in Equiv]
manual_grade_for_norm [in Norm]
manual_grade_for_norm_fail [in Norm]
manual_grade_for_pair_permutation [in Sub]
manual_grade_for_smallest_2 [in Sub]
manual_grade_for_smallest_1 [in Sub]
manual_grade_for_small_large_4 [in Sub]
manual_grade_for_small_large_2 [in Sub]
manual_grade_for_small_large_1 [in Sub]
manual_grade_for_proper_subtypes [in Sub]
manual_grade_for_subtype_concepts_tf [in Sub]
manual_grade_for_subtype_instances_tf_2 [in Sub]
manual_grade_for_subtype_order [in Sub]
manual_grade_for_arrow_sub_wrong [in Sub]
minimum_dec [in Hoare2]
msubst [in Norm]
mupdate [in Norm]
myFact [in UseAuto]

N

normalizing [in Smallstep]
normal_form_of [in Smallstep]
normal_form [in Smallstep]

O

optimizer [in Equiv]
optimize_0plus_com [in Equiv]
optimize_0plus_bexp [in Equiv]
optimize_0plus_aexp [in Equiv]
outer_triple_valid [in Hoare2]

P

parity [in Hoare2]
parity [in PE]
parity_dec [in Hoare2]
parity_eval [in PE]
parity_body [in PE]
pe_program [in PE]
pe_block_example [in PE]
pe_block [in PE]
pe_example3 [in PE]
pe_example2 [in PE]
pe_example1 [in PE]
pe_removes [in PE]
pe_compare [in PE]
pe_unique [in PE]
pe_disagree_at [in PE]
pe_add [in PE]
pe_remove [in PE]
pe_bexp [in PE]
pe_update [in PE]
pe_consistent [in PE]
pe_aexp [in PE]
pe_lookup [in PE]
pe_state [in PE]
positive_difference_dec [in Hoare2]
post [in Hoare2]
post_dec_while [in Hoare2]
post_dec [in Hoare2]
pow2 [in Hoare2]
pre_dec_while [in Hoare2]
pre_dec [in Hoare2]
prog [in Smallstep]
program [in PE]
prog_i [in Equiv]
prog_h [in Equiv]
prog_g [in Equiv]
prog_f [in Equiv]
prog_e [in Equiv]
prog_d [in Equiv]
prog_c [in Equiv]
prog_b [in Equiv]
prog_a [in Equiv]

R

R [in Norm]
RecordSub.context [in RecordSub]
RecordSub.Examples.subtyping_example_4 [in RecordSub]
RecordSub.Examples.subtyping_example_3 [in RecordSub]
RecordSub.Examples.subtyping_example_2 [in RecordSub]
RecordSub.Examples.subtyping_example_1 [in RecordSub]
RecordSub.Examples.subtyping_example_0 [in RecordSub]
RecordSub.Examples.TRcd_kj [in RecordSub]
RecordSub.Examples.TRcd_j [in RecordSub]
RecordSub.Examples2.trcd_kj [in RecordSub]
RecordSub.Examples2.typing_example_2 [in RecordSub]
RecordSub.Examples2.typing_example_1 [in RecordSub]
RecordSub.Examples2.typing_example_0 [in RecordSub]
RecordSub.manual_grade_for_rcd_types_match_informal [in RecordSub]
RecordSub.subst [in RecordSub]
RecordSub.tlookup [in RecordSub]
RecordSub.Tlookup [in RecordSub]
reduce_to_zero' [in Hoare2]
refines [in Equiv]
relation [in Smallstep]
RepeatExercise.ex1_repeat [in Hoare]
RepeatExercise.hoare_triple [in Hoare]
rm [in LibTactics]

S

sample_proof [in HoareAsLogic]
SimpleArith1.test_step_2 [in Smallstep]
SimpleArith1.test_step_1 [in Smallstep]
slow_assignment_dec [in Hoare2]
sqrt_dec [in Hoare2]
stack [in Smallstep]
stack_multistep [in Smallstep]
StepFunction.assert [in Typechecking]
StepFunction.manual_grade_for_stepf_defn [in Typechecking]
StepFunction.manual_grade_for_valuef_defn [in Typechecking]
StepFunction.stepf [in Typechecking]
StepFunction.valuef [in Typechecking]
step_example1''' [in Smallstep]
step_example1'' [in Smallstep]
step_example1' [in Smallstep]
step_example1 [in Smallstep]
step_normal_form [in Smallstep]
STLCArith.context [in StlcProp]
STLCArith.Nat_typing_example [in StlcProp]
STLCArith.Nat_step_example [in StlcProp]
STLCArith.subst [in StlcProp]
STLCChecker.type_check [in Typechecking]
STLCExtendedRecords.context [in Records]
STLCExtendedRecords.FirstTry.alist [in Records]
STLCExtendedRecords.subst [in Records]
STLCExtendedRecords.Tlookup [in Records]
STLCExtendedRecords.tlookup [in Records]
STLCExtendedRecords.typing_nonexample_2 [in Records]
STLCExtendedRecords.typing_nonexample [in Records]
STLCExtendedRecords.weird_type [in Records]
STLCExtended.context [in MoreStlc]
STLCExtended.Examples.FixTest1.fact [in MoreStlc]
STLCExtended.Examples.FixTest1.reduces [in MoreStlc]
STLCExtended.Examples.FixTest1.typechecks [in MoreStlc]
STLCExtended.Examples.FixTest2.map [in MoreStlc]
STLCExtended.Examples.FixTest2.reduces [in MoreStlc]
STLCExtended.Examples.FixTest2.typechecks [in MoreStlc]
STLCExtended.Examples.FixTest3.equal [in MoreStlc]
STLCExtended.Examples.FixTest3.reduces [in MoreStlc]
STLCExtended.Examples.FixTest3.reduces2 [in MoreStlc]
STLCExtended.Examples.FixTest3.typechecks [in MoreStlc]
STLCExtended.Examples.FixTest4.eotest [in MoreStlc]
STLCExtended.Examples.FixTest4.reduces [in MoreStlc]
STLCExtended.Examples.FixTest4.typechecks [in MoreStlc]
STLCExtended.Examples.LetTest.reduces [in MoreStlc]
STLCExtended.Examples.LetTest.tm_test [in MoreStlc]
STLCExtended.Examples.LetTest.typechecks [in MoreStlc]
STLCExtended.Examples.ListTest.reduces [in MoreStlc]
STLCExtended.Examples.ListTest.tm_test [in MoreStlc]
STLCExtended.Examples.ListTest.typechecks [in MoreStlc]
STLCExtended.Examples.Numtest.reduces [in MoreStlc]
STLCExtended.Examples.Numtest.tm_test [in MoreStlc]
STLCExtended.Examples.Numtest.typechecks [in MoreStlc]
STLCExtended.Examples.ProdTest.reduces [in MoreStlc]
STLCExtended.Examples.ProdTest.tm_test [in MoreStlc]
STLCExtended.Examples.ProdTest.typechecks [in MoreStlc]
STLCExtended.Examples.Sumtest1.reduces [in MoreStlc]
STLCExtended.Examples.Sumtest1.tm_test [in MoreStlc]
STLCExtended.Examples.Sumtest1.typechecks [in MoreStlc]
STLCExtended.Examples.Sumtest2.reduces [in MoreStlc]
STLCExtended.Examples.Sumtest2.tm_test [in MoreStlc]
STLCExtended.Examples.Sumtest2.typechecks [in MoreStlc]
STLCExtended.subst [in MoreStlc]
STLCExtended.x [in MoreStlc]
STLCExtended.y [in MoreStlc]
STLCExtended.z [in MoreStlc]
STLCProp.closed [in StlcProp]
STLCProp.manual_grade_for_stlc_variation3 [in StlcProp]
STLCProp.manual_grade_for_stlc_variation2 [in StlcProp]
STLCProp.manual_grade_for_stlc_variation1 [in StlcProp]
STLCProp.manual_grade_for_progress_preservation_statement [in StlcProp]
STLCProp.manual_grade_for_afi [in StlcProp]
STLCProp.manual_grade_for_subject_expansion_stlc [in StlcProp]
STLCProp.stuck [in StlcProp]
STLCRef.context [in References]
STLCRef.ExampleVariables.r [in References]
STLCRef.ExampleVariables.s [in References]
STLCRef.ExampleVariables.x [in References]
STLCRef.ExampleVariables.y [in References]
STLCRef.manual_grade_for_preservation_informal [in References]
STLCRef.manual_grade_for_type_safety_violation [in References]
STLCRef.manual_grade_for_compact_update [in References]
STLCRef.multistep [in References]
STLCRef.preservation_theorem [in References]
STLCRef.RefsAndNontermination.factorial [in References]
STLCRef.RefsAndNontermination.loop [in References]
STLCRef.RefsAndNontermination.loop_fun [in References]
STLCRef.RefsAndNontermination.multistep1 [in References]
STLCRef.replace [in References]
STLCRef.store [in References]
STLCRef.store_well_typed [in References]
STLCRef.store_Tlookup [in References]
STLCRef.store_ty [in References]
STLCRef.store_lookup [in References]
STLCRef.subst [in References]
STLCRef.tseq [in References]
STLCRef.x [in References]
STLCRef.y [in References]
STLCRef.z [in References]
STLCSub.context [in Sub]
STLCSub.Examples.Employee [in Sub]
STLCSub.Examples.Person [in Sub]
STLCSub.Examples.Student [in Sub]
STLCSub.Examples.subtyping_example_2 [in Sub]
STLCSub.Examples.subtyping_example_1 [in Sub]
STLCSub.Examples.subtyping_example_0 [in Sub]
STLCSub.Examples.sub_employee_person [in Sub]
STLCSub.Examples.sub_student_person [in Sub]
STLCSub.FormalThoughtExercises.smallest [in Sub]
STLCSub.FormalThoughtExercises.smallest_largest [in Sub]
STLCSub.FormalThoughtExercises.TF [in Sub]
STLCSub.manual_grade_for_products_preservation [in Sub]
STLCSub.manual_grade_for_products_progress [in Sub]
STLCSub.manual_grade_for_products_subtype_has_type [in Sub]
STLCSub.manual_grade_for_products_value_step [in Sub]
STLCSub.manual_grade_for_variations [in Sub]
STLCSub.subst [in Sub]
STLCTypes.eqb_ty [in Typechecking]
STLC.context [in Stlc]
STLC.subst [in Stlc]
STLC.typing_nonexample_3 [in Stlc]
STLC.typing_nonexample_1 [in Stlc]
STLC.typing_example_3 [in Stlc]
STLC.typing_example_2_full [in Stlc]
STLC.typing_example_2 [in Stlc]
STLC.typing_example_1' [in Stlc]
STLC.typing_example_1 [in Stlc]
STLC.x [in Stlc]
STLC.y [in Stlc]
STLC.z [in Stlc]
subst [in Norm]
subst_equiv_property [in Equiv]
subst_aexp_ex [in Equiv]
subst_aexp [in Equiv]
subtract_slowly_dec [in Hoare2]
swap_program [in Hoare]
swap_dec [in Hoare2]

T

T [in Hoare2]
tass [in Norm]
Temp4.bool_step_prop3 [in Smallstep]
Temp4.bool_step_prop2 [in Smallstep]
Temp4.bool_step_prop1 [in Smallstep]
Temp4.manual_grade_for_smallstep_bools [in Smallstep]
Temp4.Temp5.bool_step_prop4_holds [in Smallstep]
Temp4.Temp5.bool_step_prop4 [in Smallstep]
Temp4.Temp5.manual_grade_for_properties_of_altered_step [in Smallstep]
test_optimize_0plus [in Equiv]
test_pe_bexp2 [in PE]
test_pe_bexp1 [in PE]
test_pe_update [in PE]
test_pe_aexp1 [in PE]
text_pe_aexp2 [in PE]
TM.has_type_not [in Types]
TM.has_type_1 [in Types]
TM.manual_grade_for_prog_pres_bigstep [in Types]
TM.manual_grade_for_remove_pred0 [in Types]
TM.manual_grade_for_variation2 [in Types]
TM.manual_grade_for_variation1 [in Types]
TM.manual_grade_for_finish_preservation_informal [in Types]
TM.manual_grade_for_finish_progress_informal [in Types]
TM.multistep [in Types]
TM.some_term_is_stuck [in Types]
TM.stuck [in Types]
TM.succ_hastype_nat__hastype_nat [in Types]
TM.value [in Types]
two_loops_dec [in Hoare2]
TypecheckerExtensions.eqb_ty [in Typechecking]
TypecheckerExtensions.manual_grade_for_type_check_defn [in Typechecking]
TypecheckerExtensions.type_check [in Typechecking]

V

valid [in HoareAsLogic]
vc_dec_while [in Hoare2]
verification_conditions_dec [in Hoare2]
verification_conditions [in Hoare2]

W

while_example [in Hoare]
wp [in HoareAsLogic]

Z

zprop [in Equiv]

---

Global Index

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(5472 entries)

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(309 entries)

Binder Index

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(3342 entries)

Module Index

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(70 entries)

Variable Index

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(15 entries)

Library Index

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(22 entries)

Lemma Index

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(504 entries)

Constructor Index

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(615 entries)

Axiom Index

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(12 entries)

Inductive Index

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(118 entries)

Section Index

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(4 entries)

Abbreviation Index

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(60 entries)

Definition Index

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(401 entries)

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