Global Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z : _ (1797 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z : _ (121 entries)
Module Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (64 entries)
Variable Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (7 entries)
Library Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (22 entries)
Lemma Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (446 entries)
Constructor Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (664 entries)
Axiom Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (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 V W X Y Z _ (119 entries)
Section Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (3 entries)
Abbreviation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (55 entries)
Definition Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (284 entries)

Global Index

A

abs_arrow [lemma, in Sub]
abs_arrow [lemma, in RecordSub]
aequiv [definition, in Equiv]
aequiv_example [lemma, in Equiv]
aeval_weakening [lemma, in Equiv]
afi_abs [constructor, in RecordSub]
afi_abs [constructor, in Norm]
afi_abs [constructor, in Sub]
afi_app1 [constructor, in Sub]
afi_app1 [constructor, in RecordSub]
afi_app1 [constructor, in Norm]
afi_app2 [constructor, in Norm]
afi_app2 [constructor, in Sub]
afi_app2 [constructor, in RecordSub]
afi_fst [constructor, in Norm]
afi_if0 [constructor, in Norm]
afi_if1 [constructor, in Norm]
afi_if1 [constructor, in Sub]
afi_if2 [constructor, in Norm]
afi_if2 [constructor, in Sub]
afi_if3 [constructor, in Sub]
afi_pair1 [constructor, in Norm]
afi_pair2 [constructor, in Norm]
afi_proj [constructor, in RecordSub]
afi_rhead [constructor, in RecordSub]
afi_rtail [constructor, in RecordSub]
afi_snd [constructor, in Norm]
afi_var [constructor, in RecordSub]
afi_var [constructor, in Sub]
afi_var [constructor, in Norm]
always_loop_hoare [lemma, in Hoare]
appears_free_in [inductive, in Norm]
appears_free_in [inductive, in Sub]
appears_free_in [inductive, in RecordSub]
Assertion [definition, in Hoare]
assert_implies [definition, in Hoare]
assign [definition, in PE]
Assign [constructor, in PE]
assigned [definition, in PE]
assign_aequiv [lemma, in Equiv]
assign_removes [lemma, in PE]
assn_sub [definition, in Hoare]
assn_sub_example [definition, in Hoare]
assn_sub_example2 [definition, in Hoare]
astep [inductive, in Smallstep]
AS_Id [constructor, in Smallstep]
AS_Minus [constructor, in Smallstep]
AS_Minus1 [constructor, in Smallstep]
AS_Minus2 [constructor, in Smallstep]
AS_Mult [constructor, in Smallstep]
AS_Mult1 [constructor, in Smallstep]
AS_Mult2 [constructor, in Smallstep]
AS_Plus [constructor, in Smallstep]
AS_Plus1 [constructor, in Smallstep]
AS_Plus2 [constructor, in Smallstep]
atrans_sound [definition, in Equiv]
aval [inductive, in Smallstep]
av_num [constructor, in Smallstep]


B

bassn [definition, in Hoare]
bassn_eval_false [lemma, in HoareAsLogic]
bequiv [definition, in Equiv]
bequiv_example [lemma, in Equiv]
bexp_eval_false [lemma, in Hoare]
bexp_eval_true [lemma, in Hoare]
Bib [library]
block [inductive, in PE]
body [constructor, in PE]
bool_canonical [lemma, in Types]
Boxer [inductive, in LibTactics]
boxer [constructor, in LibTactics]
bstep [inductive, in Smallstep]
BS_AndFalse [constructor, in Smallstep]
BS_AndStep [constructor, in Smallstep]
BS_AndTrueFalse [constructor, in Smallstep]
BS_AndTrueStep [constructor, in Smallstep]
BS_AndTrueTrue [constructor, in Smallstep]
BS_Eq [constructor, in Smallstep]
BS_Eq1 [constructor, in Smallstep]
BS_Eq2 [constructor, in Smallstep]
BS_LtEq [constructor, in Smallstep]
BS_LtEq1 [constructor, in Smallstep]
BS_LtEq2 [constructor, in Smallstep]
BS_NotFalse [constructor, in Smallstep]
BS_NotStep [constructor, in Smallstep]
BS_NotTrue [constructor, in Smallstep]
btrans_sound [definition, in Equiv]
bvalue [inductive, in Types]
bv_false [constructor, in Types]
bv_true [constructor, in Types]


C

C [constructor, in Smallstep]
canonical_forms_of_arrow_types [lemma, in RecordSub]
canonical_forms_of_arrow_types [lemma, in Sub]
canonical_forms_of_Bool [lemma, in Sub]
capprox [definition, in Equiv]
CAss_congruence [lemma, in Equiv]
cequiv [definition, in Equiv]
ceval_extensionality [lemma, in PE]
CIf_congruence [lemma, in Equiv]
CImp [module, in Smallstep]
CImp.CAss [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_Ass [constructor, in Smallstep]
CImp.CS_AssStep [constructor, in Smallstep]
CImp.CS_IfFalse [constructor, in Smallstep]
CImp.CS_IfStep [constructor, in Smallstep]
CImp.CS_IfTrue [constructor, in Smallstep]
CImp.CS_ParDone [constructor, in Smallstep]
CImp.CS_Par1 [constructor, in Smallstep]
CImp.CS_Par2 [constructor, in Smallstep]
CImp.CS_SeqFinish [constructor, in Smallstep]
CImp.CS_SeqStep [constructor, in Smallstep]
CImp.CS_While [constructor, in Smallstep]
CImp.CWhile [constructor, in Smallstep]
CImp.par_body_n [lemma, in Smallstep]
CImp.par_body_n__Sn [lemma, in Smallstep]
CImp.par_loop [definition, in Smallstep]
CImp.par_loop_any_X [lemma, in Smallstep]
CImp.par_loop_example_0 [definition, in Smallstep]
CImp.par_loop_example_2 [definition, in Smallstep]
CImp.::x_'/'_x_'==>'_x_'/'_x [notation, in Smallstep]
CImp.::x_'/'_x_'==>*'_x_'/'_x [notation, in Smallstep]
CImp.::x_'::='_x [notation, in Smallstep]
CImp.::x_';;'_x [notation, in Smallstep]
CImp.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [notation, in Smallstep]
CImp.::'PAR'_x_'WITH'_x_'END' [notation, in Smallstep]
CImp.::'SKIP' [notation, in Smallstep]
CImp.::'WHILE'_x_'DO'_x_'END' [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.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_PlusConstConst [constructor, in Smallstep]
Combined.ST_Plus1 [constructor, in Smallstep]
Combined.ST_Plus2 [constructor, in Smallstep]
Combined.tfalse [constructor, in Smallstep]
Combined.tif [constructor, in Smallstep]
Combined.tm [inductive, in Smallstep]
Combined.ttrue [constructor, in Smallstep]
Combined.value [inductive, in Smallstep]
Combined.v_const [constructor, in Smallstep]
Combined.v_false [constructor, in Smallstep]
Combined.v_true [constructor, in Smallstep]
Combined.::x_'==>'_x [notation, in Smallstep]
compiler_is_correct [lemma, in Smallstep]
compiler_is_correct_statement [definition, in Smallstep]
congruence_demo_1 [lemma, in UseAuto]
congruence_demo_2 [lemma, in UseAuto]
congruence_demo_3 [lemma, in UseAuto]
congruence_demo_4 [lemma, in UseAuto]
congruence_example [definition, in Equiv]
context [definition, in RecordSub]
context [definition, in Sub]
context [definition, in Norm]
context_invariance [lemma, in Sub]
context_invariance [lemma, in Norm]
context_invariance [lemma, in RecordSub]
CSeq_congruence [lemma, in Equiv]
cstep [inductive, in Smallstep]
CS_Ass [constructor, in Smallstep]
CS_AssStep [constructor, in Smallstep]
CS_IfFalse [constructor, in Smallstep]
CS_IfStep [constructor, in Smallstep]
CS_IfTrue [constructor, in Smallstep]
CS_SeqFinish [constructor, in Smallstep]
CS_SeqStep [constructor, in Smallstep]
CS_While [constructor, in Smallstep]
ctrans_sound [definition, in Equiv]
CWhile_congruence [lemma, in Equiv]
c3 [definition, in Equiv]
c3_c4_different [lemma, in Equiv]
c4 [definition, in Equiv]


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 [inductive, in Hoare2]
Decorated [constructor, in Hoare2]
dec_correct [definition, in Hoare2]
dec_while [definition, in Hoare2]
dec_while_correct [lemma, in Hoare2]
DemoAbsurd1 [section, in UseAuto]
demo_auto_absurd_1 [lemma, in UseAuto]
demo_auto_absurd_2 [lemma, in UseAuto]
demo_clears_all_and_clears_but [lemma, in LibTactics]
demo_false [lemma, in UseTactics]
demo_false [lemma, in UseAuto]
demo_false_arg [lemma, in UseTactics]
demo_hint_unfold_context_1 [lemma, in UseAuto]
demo_hint_unfold_context_2 [lemma, in UseAuto]
demo_hint_unfold_goal_1 [lemma, in UseAuto]
demo_hint_unfold_goal_2 [lemma, in UseAuto]
demo_tryfalse [lemma, in UseTactics]
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_dec [definition, in Hoare2]
div_mod_dec_correct [lemma, in Hoare2]
done [constructor, in PE]
dpow2_down [definition, in Hoare2]
dpow2_down_correct [lemma, in Hoare2]
drop [definition, in Norm]
duplicate_subst [lemma, in Norm]
dup_lemma [lemma, in LibTactics]


E

empty_pe_state [definition, in PE]
entry [constructor, in PE]
env [definition, in Norm]
EqualityExamples [module, in UseTactics]
EqualityExamples.big_expression_using [axiom, in UseTactics]
EqualityExamples.demo_applys_eq_1 [lemma, in UseTactics]
EqualityExamples.demo_applys_eq_2 [lemma, in UseTactics]
EqualityExamples.demo_applys_eq_3 [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]
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_0 [lemma, in LibTactics]
equates_1 [lemma, in LibTactics]
equates_2 [lemma, in LibTactics]
equates_3 [lemma, in LibTactics]
equates_4 [lemma, in LibTactics]
equates_5 [lemma, in LibTactics]
equates_6 [lemma, in LibTactics]
Equiv [library]
equiv_classes [definition, in Equiv]
eq' [definition, in LibTactics]
ev [inductive, in Hoare2]
eval [inductive, in Smallstep]
evalF [definition, in Smallstep]
evalF_eval [lemma, in Smallstep]
eval_assign [lemma, in PE]
eval__multistep [lemma, in Smallstep]
ev_SS [constructor, in Hoare2]
ev_0 [constructor, in Hoare2]
Examples [module, in RecordSub]
Examples [module, in Sub]
ExamplesInstantiations [module, in UseTactics]
ExamplesInstantiations.substitution_preserves_typing [lemma, in UseTactics]
ExamplesLets [module, in UseTactics]
ExamplesLets.demo_lets_underscore [lemma, in UseTactics]
ExamplesLets.demo_lets_1 [lemma, in UseTactics]
ExamplesLets.demo_lets_2 [lemma, in UseTactics]
ExamplesLets.demo_lets_3 [lemma, in UseTactics]
ExamplesLets.demo_lets_4 [lemma, in UseTactics]
ExamplesLets.demo_lets_5 [lemma, in UseTactics]
ExamplesLets.typing_inversion_var [axiom, in UseTactics]
Examples.A [abbreviation, in Sub]
Examples.A [abbreviation, in RecordSub]
Examples.B [abbreviation, in RecordSub]
Examples.B [abbreviation, in Sub]
Examples.C [abbreviation, in Sub]
Examples.C [abbreviation, in RecordSub]
Examples.Employee [definition, in Sub]
Examples.Float [abbreviation, in Sub]
Examples.i [abbreviation, in RecordSub]
Examples.Integer [abbreviation, in Sub]
Examples.j [abbreviation, in RecordSub]
Examples.k [abbreviation, in RecordSub]
Examples.Person [definition, in Sub]
Examples.String [abbreviation, in Sub]
Examples.Student [definition, in Sub]
Examples.subtyping_example_0 [definition, in Sub]
Examples.subtyping_example_0 [definition, in RecordSub]
Examples.subtyping_example_1 [definition, in RecordSub]
Examples.subtyping_example_1 [definition, in Sub]
Examples.subtyping_example_2 [definition, in RecordSub]
Examples.subtyping_example_2 [definition, in Sub]
Examples.subtyping_example_3 [definition, in RecordSub]
Examples.subtyping_example_4 [definition, in RecordSub]
Examples.sub_employee_person [definition, in Sub]
Examples.sub_student_person [definition, in Sub]
Examples.TRcd_j [definition, in RecordSub]
Examples.TRcd_kj [definition, in RecordSub]
Examples.x [abbreviation, in Sub]
Examples.x [abbreviation, in RecordSub]
Examples.y [abbreviation, in Sub]
Examples.y [abbreviation, in RecordSub]
Examples.z [abbreviation, in RecordSub]
Examples.z [abbreviation, in Sub]
Examples2 [module, in RecordSub]
Examples2 [module, in Sub]
Examples2.trcd_kj [definition, in RecordSub]
Examples2.typing_example_0 [definition, in RecordSub]
Examples2.typing_example_1 [definition, in RecordSub]
Examples2.typing_example_2 [definition, in RecordSub]
ExAssertions [module, in Hoare]
ExAssertions.as1 [definition, in Hoare]
ExAssertions.as2 [definition, in Hoare]
ExAssertions.as3 [definition, in Hoare]
ExAssertions.as4 [definition, in Hoare]
ExAssertions.as5 [definition, in Hoare]
ExAssertions.as6 [definition, in Hoare]
extract [definition, in Hoare2]
extract_dec [definition, in Hoare2]
E_Const [constructor, in Smallstep]
E_None [constructor, in PE]
E_Plus [constructor, in Smallstep]
E_Some [constructor, in PE]


F

False_and_P_imp [lemma, in HoareAsLogic]
fib [definition, in Hoare2]
fib_eqn [lemma, in Hoare2]
find_parity [definition, in Hoare2]
find_parity_correct [lemma, in Hoare2]
find_parity_correct' [lemma, in Hoare2]
find_parity_dec [definition, in Hoare2]
find_parity_dec' [definition, in Hoare2]
fold_aexp_ex1 [definition, in Equiv]
fold_aexp_ex2 [definition, in Equiv]
fold_bexp_ex1 [definition, in Equiv]
fold_bexp_ex2 [definition, in Equiv]
fold_com_ex1 [definition, in Equiv]
fold_constants_aexp [definition, in Equiv]
fold_constants_aexp_sound [lemma, in Equiv]
fold_constants_bexp [definition, in Equiv]
fold_constants_bexp_sound [lemma, in Equiv]
fold_constants_com [definition, in Equiv]
fold_constants_com_sound [lemma, in Equiv]
free_in_context [lemma, in RecordSub]
free_in_context [lemma, in Sub]
free_in_context [lemma, in Norm]


G

GenExample [module, in UseTactics]
GenExample.substitution_preserves_typing [lemma, in UseTactics]
Goto [constructor, in PE]
gt_not_le [axiom, in UseAuto]


H

halts [definition, in Norm]
has_type [inductive, in RecordSub]
has_type [inductive, in Types]
has_type [inductive, in Norm]
has_type [inductive, in Sub]
has_type_not [definition, in Types]
has_type_1 [definition, in Types]
has_type__wf [lemma, in RecordSub]
Himp [module, in Hoare]
Himp [module, in Equiv]
Himp.CAsgn [constructor, in Hoare]
Himp.CAss [constructor, in Equiv]
Himp.cequiv [definition, in Equiv]
Himp.ceval [inductive, in Equiv]
Himp.ceval [inductive, in Hoare]
Himp.CHavoc [constructor, in Equiv]
Himp.CHavoc [constructor, in Hoare]
Himp.CIf [constructor, in Hoare]
Himp.CIf [constructor, in Equiv]
Himp.com [inductive, in Equiv]
Himp.com [inductive, in Hoare]
Himp.CSeq [constructor, in Hoare]
Himp.CSeq [constructor, in Equiv]
Himp.CSkip [constructor, in Hoare]
Himp.CSkip [constructor, in Equiv]
Himp.CWhile [constructor, in Equiv]
Himp.CWhile [constructor, in Hoare]
Himp.E_Ass [constructor, in Equiv]
Himp.E_Ass [constructor, in Hoare]
Himp.E_Havoc [constructor, in Hoare]
Himp.E_IfFalse [constructor, in Equiv]
Himp.E_IfFalse [constructor, in Hoare]
Himp.E_IfTrue [constructor, in Equiv]
Himp.E_IfTrue [constructor, in Hoare]
Himp.E_Seq [constructor, in Hoare]
Himp.E_Seq [constructor, in Equiv]
Himp.E_Skip [constructor, in Hoare]
Himp.E_Skip [constructor, in Equiv]
Himp.E_WhileFalse [constructor, in Equiv]
Himp.E_WhileFalse [constructor, in Hoare]
Himp.E_WhileTrue [constructor, in Hoare]
Himp.E_WhileTrue [constructor, in Equiv]
Himp.havoc_example1 [definition, in Equiv]
Himp.havoc_example2 [definition, in Equiv]
Himp.havoc_pre [definition, in Hoare]
Himp.hoare_havoc [lemma, in Hoare]
Himp.hoare_triple [definition, in Hoare]
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_may_diverge [lemma, in Equiv]
Himp.p1_p2_equiv [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]
Himp.:hoare_spec_scope:'{{'_x_'}}'_x_'{{'_x_'}}' [notation, in Hoare]
Himp.::x_'/'_x_'\\'_x [notation, in Hoare]
Himp.::x_'/'_x_'\\'_x [notation, in Equiv]
Himp.::x_'::='_x [notation, in Equiv]
Himp.::x_'::='_x [notation, in Hoare]
Himp.::x_';;'_x [notation, in Hoare]
Himp.::x_';;'_x [notation, in Equiv]
Himp.::'HAVOC'_x [notation, in Hoare]
Himp.::'HAVOC'_x [notation, in Equiv]
Himp.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [notation, in Hoare]
Himp.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [notation, in Equiv]
Himp.::'SKIP' [notation, in Equiv]
Himp.::'SKIP' [notation, in Hoare]
Himp.::'WHILE'_x_'DO'_x_'END' [notation, in Hoare]
Himp.::'WHILE'_x_'DO'_x_'END' [notation, in Equiv]
Himp2 [module, in Hoare2]
Himp2.hoare_havoc_weakest [lemma, in Hoare2]
HintsTransitivity [section, in UseAuto]
Hoare [library]
HoareAsLogic [library]
Hoare2 [library]
hoare_asgn [lemma, in Hoare]
hoare_asgn_example1 [definition, in Hoare]
hoare_asgn_example1' [definition, in Hoare]
hoare_asgn_example3 [definition, in Hoare]
hoare_asgn_example4 [definition, in Hoare]
hoare_asgn_fwd [lemma, in Hoare]
hoare_asgn_fwd_exists [lemma, in Hoare]
hoare_asgn_weakest [lemma, in Hoare2]
hoare_consequence [lemma, in Hoare]
hoare_consequence_post [lemma, in Hoare]
hoare_consequence_pre [lemma, in Hoare]
hoare_if [lemma, in Hoare]
hoare_post_true [lemma, in Hoare]
hoare_pre_false [lemma, in Hoare]
hoare_proof [inductive, in HoareAsLogic]
hoare_proof_complete [lemma, in HoareAsLogic]
hoare_proof_sound [lemma, in HoareAsLogic]
hoare_seq [lemma, in Hoare]
hoare_skip [lemma, in Hoare]
hoare_triple [definition, in Hoare]
hoare_while [lemma, in Hoare]
H_Asgn [constructor, in HoareAsLogic]
H_Consequence [constructor, in HoareAsLogic]
H_Consequence_post [lemma, in HoareAsLogic]
H_Consequence_pre [lemma, in HoareAsLogic]
H_If [constructor, in HoareAsLogic]
H_Post_True_deriv [lemma, in HoareAsLogic]
H_Pre_False_deriv [lemma, in HoareAsLogic]
H_Seq [constructor, in HoareAsLogic]
H_Skip [constructor, in HoareAsLogic]
H_While [constructor, in HoareAsLogic]


I

identity_assignment [lemma, in Equiv]
If [constructor, in PE]
IFB_false [lemma, in Equiv]
IFB_true [lemma, in Equiv]
IFB_true_simple [lemma, in Equiv]
iff_intro_swap [lemma, in LibTactics]
iff_trans [lemma, in Equiv]
If1 [module, in Hoare]
If1.CAss [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_Ass [constructor, in Hoare]
If1.E_IfFalse [constructor, in Hoare]
If1.E_IfTrue [constructor, in Hoare]
If1.E_Seq [constructor, in Hoare]
If1.E_Skip [constructor, in Hoare]
If1.E_WhileFalse [constructor, in Hoare]
If1.E_WhileTrue [constructor, in Hoare]
If1.hoare_if1_good [lemma, in Hoare]
If1.hoare_triple [definition, in Hoare]
If1.:hoare_spec_scope:'{{'_x_'}}'_x_'{{'_x_'}}' [notation, in Hoare]
If1.::x_'/'_x_'\\'_x [notation, in Hoare]
If1.::x_'::='_x [notation, in Hoare]
If1.::x_';;'_x [notation, in Hoare]
If1.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [notation, in Hoare]
If1.::'IF1'_x_'THEN'_x_'FI' [notation, in Hoare]
If1.::'SKIP' [notation, in Hoare]
If1.::'WHILE'_x_'DO'_x_'END' [notation, in Hoare]
if_example [definition, in Hoare]
if_minus_correct [lemma, in Hoare2]
if_minus_dec [definition, in Hoare2]
if_minus_plus [lemma, in Hoare]
if_minus_plus_com [definition, in Hoare2]
if_minus_plus_correct [lemma, in Hoare2]
if_minus_plus_dec [definition, in Hoare2]
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_domains_match [lemma, in Norm]
instantiation_drop [lemma, in Norm]
instantiation_env_closed [lemma, in Norm]
instantiation_R [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]
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]
InvertsExamples.typing_nonexample_1 [definition, in UseTactics]
is_wp [definition, in Hoare2]
is_wp_example [lemma, in Hoare2]


K

keval [definition, in PE]
keval_example [definition, in PE]


L

le_gt_false [axiom, in UseAuto]
le_not_gt [axiom, in UseAuto]
LibTactics [library]
LibTacticsCompatibility [module, in LibTactics]
lookup [definition, in Norm]
lookup_field_in_value [lemma, in RecordSub]
loop [constructor, in PE]
Loop [module, in PE]
Loop.ceval_count [inductive, in PE]
Loop.ceval_count_complete [lemma, in PE]
Loop.ceval_count_sound [lemma, in PE]
Loop.E'Ass [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_AssDynamic [constructor, in PE]
Loop.PE_AssStatic [constructor, in PE]
Loop.pe_ceval_count [inductive, in PE]
Loop.pe_ceval_count_intro [constructor, in PE]
Loop.pe_ceval_count_le [lemma, in PE]
Loop.pe_com [inductive, in PE]
Loop.pe_compare_nil_lookup [lemma, in PE]
Loop.pe_compare_nil_update [lemma, in PE]
Loop.pe_com_complete [lemma, in PE]
Loop.pe_com_correct [lemma, in PE]
Loop.pe_com_sound [lemma, in PE]
Loop.PE_If [constructor, in PE]
Loop.PE_IfFalse [constructor, in PE]
Loop.PE_IfTrue [constructor, in PE]
Loop.pe_loop_example1 [definition, in PE]
Loop.pe_loop_example2 [definition, in PE]
Loop.pe_loop_example3 [definition, in PE]
Loop.pe_loop_example4 [definition, in PE]
Loop.PE_Seq [constructor, in PE]
Loop.PE_Skip [constructor, in PE]
Loop.PE_While [constructor, in PE]
Loop.PE_WhileFalse [constructor, in PE]
Loop.PE_WhileFixed [constructor, in PE]
Loop.PE_WhileFixedEnd [constructor, in PE]
Loop.PE_WhileFixedLoop [constructor, in PE]
Loop.PE_WhileTrue [constructor, in PE]
Loop.square_loop [definition, in PE]
Loop.::x_'/'_x_'/'_x_'/'_x_'\\'_x_'#'_x [notation, in PE]
Loop.::x_'/'_x_'\\'_x_'#'_x [notation, in PE]
Loop.::x_'/'_x_'\\'_x_'/'_x_'/'_x [notation, in PE]
loop_unrolling [lemma, in Equiv]
ltac_database [definition, in LibTactics]
ltac_database_provide [lemma, in LibTactics]
Ltac_database_token [inductive, in LibTactics]
ltac_database_token [constructor, in LibTactics]
ltac_Mark [inductive, in LibTactics]
ltac_mark [constructor, in LibTactics]
ltac_nat_from_int [definition, in LibTactics]
ltac_no_arg [constructor, in LibTactics]
ltac_No_arg [inductive, in LibTactics]
ltac_something [definition, in LibTactics]
ltac_something_eq [lemma, in LibTactics]
ltac_something_hide [lemma, in LibTactics]
ltac_something_show [lemma, in LibTactics]
ltac_tag_subst [definition, in LibTactics]
ltac_to_generalize [definition, in LibTactics]
ltac_wild [constructor, in LibTactics]
ltac_Wild [inductive, in LibTactics]
ltac_Wilds [inductive, in LibTactics]
ltac_wilds [constructor, in LibTactics]
l1 [lemma, in Hoare2]
l2 [lemma, in Hoare2]
l3 [lemma, in Hoare2]
l3' [lemma, in Hoare2]
l4 [lemma, in Hoare2]


M

MoreStlc [library]
msubst [definition, in Norm]
msubst_abs [lemma, in Norm]
msubst_app [lemma, in Norm]
msubst_closed [lemma, in Norm]
msubst_preserves_typing [lemma, in Norm]
msubst_R [lemma, in Norm]
msubst_var [lemma, in Norm]
multi [inductive, in Smallstep]
multistep [definition, in Types]
multistep [abbreviation, in Norm]
multistep_App2 [lemma, in Norm]
multistep_congr_1 [lemma, in Smallstep]
multistep_congr_2 [lemma, in Smallstep]
multistep_preserves_R [lemma, in Norm]
multistep_preserves_R' [lemma, in Norm]
multistep__eval [lemma, in Smallstep]
multi_R [lemma, in Smallstep]
multi_refl [constructor, in Smallstep]
multi_step [constructor, in Smallstep]
multi_trans [lemma, in Smallstep]
mupdate [definition, in Norm]
mupdate_drop [lemma, in Norm]
mupdate_lookup [lemma, in Norm]
myFact [definition, in UseAuto]


N

NaryExamples [module, in UseTactics]
NaryExamples.demo_branch [lemma, in UseTactics]
NaryExamples.demo_splits [lemma, in UseTactics]
NaryExamples.progress [lemma, in UseTactics]
nat_canonical [lemma, in Types]
negation_study_1 [lemma, in UseAuto]
negation_study_2 [lemma, in UseAuto]
nf_is_value [lemma, in Smallstep]
nf_same_as_value [lemma, in Smallstep]
Norm [library]
normalization [lemma, in Norm]
NormalizePlayground [module, in Types]
NormalizePlayground.normalize_ex [lemma, in Types]
NormalizePlayground.normalize_ex' [lemma, in Types]
NormalizePlayground.step_example1 [definition, in Types]
NormalizePlayground.step_example1' [definition, in Types]
NormalizePlayground.step_example1'' [definition, in Types]
NormalizePlayground.step_example1''' [definition, in Types]
normalizing [definition, in Smallstep]
normal_form [definition, in Smallstep]
normal_forms_unique [lemma, in Smallstep]
normal_form_of [definition, in Smallstep]
nvalue [inductive, in Types]
nv_succ [constructor, in Types]
nv_zero [constructor, in Types]


O

omega_demo_1 [lemma, in UseAuto]
omega_demo_2 [lemma, in UseAuto]
omega_demo_3 [lemma, in UseAuto]
omega_demo_4 [lemma, in UseAuto]
order_matters_1 [lemma, in UseAuto]
order_matters_2 [lemma, in UseAuto]


P

P [constructor, in Smallstep]
P [axiom, in UseAuto]
parity [definition, in Hoare2]
parity [definition, in PE]
parity_body [definition, in PE]
parity_correct [lemma, in Hoare2]
parity_dec [definition, in Hoare2]
parity_dec_correct [lemma, in Hoare2]
parity_eval [definition, in PE]
parity_ge_2 [lemma, in Hoare2]
parity_label [inductive, in PE]
parity_lt_2 [lemma, in Hoare2]
PE [library]
peval [inductive, in PE]
pe_add [definition, in PE]
pe_add_correct [lemma, in PE]
pe_aexp [definition, in PE]
pe_aexp_correct [lemma, in PE]
pe_aexp_correct_weak [lemma, in PE]
PE_AssDynamic [constructor, in PE]
PE_AssStatic [constructor, in PE]
pe_bexp [definition, in PE]
pe_bexp_correct [lemma, in PE]
pe_block [definition, in PE]
pe_block_correct [lemma, in PE]
pe_block_example [definition, in PE]
pe_ceval [inductive, in PE]
pe_ceval_intro [constructor, in PE]
pe_com [inductive, in PE]
pe_compare [definition, in PE]
pe_compare_correct [lemma, in PE]
pe_compare_removes [lemma, in PE]
pe_compare_update [lemma, in PE]
pe_com_complete [lemma, in PE]
pe_com_correct [lemma, in PE]
pe_com_sound [lemma, in PE]
pe_consistent [definition, in PE]
pe_consistent_update [lemma, in PE]
pe_disagree_at [definition, in PE]
pe_disagree_domain [lemma, in PE]
pe_domain [lemma, in PE]
pe_example1 [definition, in PE]
pe_example2 [definition, in PE]
pe_example3 [definition, in PE]
PE_If [constructor, in PE]
PE_IfFalse [constructor, in PE]
PE_IfTrue [constructor, in PE]
pe_lookup [definition, in PE]
pe_peval [inductive, in PE]
pe_peval_intro [constructor, in PE]
pe_program [definition, in PE]
pe_program_correct [lemma, in PE]
pe_remove [definition, in PE]
pe_removes [definition, in PE]
pe_removes_correct [lemma, in PE]
pe_remove_correct [lemma, in PE]
PE_Seq [constructor, in PE]
PE_Skip [constructor, in PE]
pe_state [definition, in PE]
pe_unique [definition, in PE]
pe_unique_correct [lemma, in PE]
pe_update [definition, in PE]
pe_update_consistent [lemma, in PE]
pe_update_correct [lemma, in PE]
pe_update_update_add [lemma, in PE]
pe_update_update_remove [lemma, in PE]
post [definition, in Hoare2]
Postscript [library]
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 Types]
preservation [lemma, in Sub]
preservation [lemma, in RecordSub]
preservation [lemma, in Norm]
PreservationProgressReferences [module, in UseAuto]
PreservationProgressReferences.nth_eq_last' [lemma, in UseAuto]
PreservationProgressReferences.preservation [lemma, in UseAuto]
PreservationProgressReferences.preservation' [lemma, in UseAuto]
PreservationProgressReferences.preservation_ref [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]
preservation' [lemma, in Types]
pre_dec [definition, in Hoare2]
ProductExtension [module, in Sub]
ProductExtension.preservation [lemma, in Sub]
ProductExtension.progress [lemma, in Sub]
ProductExtension.tabs [constructor, in Sub]
ProductExtension.tapp [constructor, in Sub]
ProductExtension.TArrow [constructor, in Sub]
ProductExtension.TBase [constructor, in Sub]
ProductExtension.TBool [constructor, in Sub]
ProductExtension.tfalse [constructor, in Sub]
ProductExtension.tfst [constructor, in Sub]
ProductExtension.tif [constructor, in Sub]
ProductExtension.tm [inductive, in Sub]
ProductExtension.tpair [constructor, in Sub]
ProductExtension.TProd [constructor, in Sub]
ProductExtension.tsnd [constructor, in Sub]
ProductExtension.TTop [constructor, in Sub]
ProductExtension.ttrue [constructor, in Sub]
ProductExtension.tunit [constructor, in Sub]
ProductExtension.TUnit [constructor, in Sub]
ProductExtension.tvar [constructor, in Sub]
ProductExtension.ty [inductive, in Sub]
prog [definition, in Smallstep]
program [definition, in PE]
progress [lemma, in RecordSub]
progress [lemma, in Sub]
progress [lemma, in Types]
prog_a [definition, in Equiv]
prog_b [definition, in Equiv]
prog_c [definition, in Equiv]
prog_d [definition, in Equiv]
prog_e [definition, in Equiv]
prog_f [definition, in Equiv]
prog_g [definition, in Equiv]
prog_h [definition, in Equiv]
prog_i [definition, in Equiv]


R

R [definition, in Norm]
rcd_types_match [lemma, in RecordSub]
real_fact [definition, in Hoare2]
Records [library]
RecordSub [library]
record_tm [inductive, in RecordSub]
record_ty [inductive, in RecordSub]
reduce_to_zero' [definition, in Hoare2]
reduce_to_zero_correct' [lemma, in Hoare2]
References [library]
refl_aequiv [lemma, in Equiv]
refl_bequiv [lemma, in Equiv]
refl_cequiv [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 [definition, in Hoare]
RepeatExercise.ex1_repeat_works [lemma, in Hoare]
RepeatExercise.E_Ass [constructor, in Hoare]
RepeatExercise.E_IfFalse [constructor, in Hoare]
RepeatExercise.E_IfTrue [constructor, in Hoare]
RepeatExercise.E_Seq [constructor, in Hoare]
RepeatExercise.E_Skip [constructor, in Hoare]
RepeatExercise.E_WhileFalse [constructor, in Hoare]
RepeatExercise.E_WhileTrue [constructor, in Hoare]
RepeatExercise.hoare_triple [definition, in Hoare]
RepeatExercise.::x_'/'_x_'\\'_x [notation, in Hoare]
RepeatExercise.::x_'::='_x [notation, in Hoare]
RepeatExercise.::x_';;'_x [notation, in Hoare]
RepeatExercise.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [notation, in Hoare]
RepeatExercise.::'REPEAT'_x_'UNTIL'_x_'END' [notation, in Hoare]
RepeatExercise.::'SKIP' [notation, in Hoare]
RepeatExercise.::'WHILE'_x_'DO'_x_'END' [notation, in Hoare]
RepeatExercise.::'{{'_x_'}}'_x_'{{'_x_'}}' [notation, in Hoare]
RingDemo [module, in UseAuto]
RingDemo.ring_demo [lemma, in UseAuto]
rm [definition, in LibTactics]
rtcons [constructor, in RecordSub]
RTcons [constructor, in RecordSub]
rtnil [constructor, in RecordSub]
RTnil [constructor, in RecordSub]
R_halts [lemma, in Norm]
R_typable_empty [lemma, in Norm]


S

sample_proof [definition, in HoareAsLogic]
search_depth_0 [lemma, in UseAuto]
search_depth_1 [lemma, in UseAuto]
search_depth_3 [lemma, in UseAuto]
search_depth_4 [lemma, in UseAuto]
search_depth_5 [lemma, in UseAuto]
Semantics [module, in UseAuto]
Semantics.multistep_eval_ind [lemma, in UseAuto]
Semantics.multistep__eval [lemma, in UseAuto]
Semantics.multistep__eval' [lemma, in UseAuto]
Semantics.multistep__eval'' [lemma, in UseAuto]
seq_assoc [lemma, in Equiv]
silly1 [lemma, in Hoare]
silly2 [lemma, in Hoare]
silly2_eassumption [lemma, in Hoare]
silly2_fixed [lemma, in Hoare]
SimpleArith1 [module, in Smallstep]
SimpleArith1.step [inductive, in Smallstep]
SimpleArith1.ST_PlusConstConst [constructor, in Smallstep]
SimpleArith1.ST_Plus1 [constructor, in Smallstep]
SimpleArith1.ST_Plus2 [constructor, in Smallstep]
SimpleArith1.test_step_1 [definition, in Smallstep]
SimpleArith1.test_step_2 [definition, in Smallstep]
SimpleArith1.::x_'==>'_x [notation, in Smallstep]
SimpleArith2 [module, in Smallstep]
SimpleArith2.step_deterministic [lemma, in Smallstep]
SimpleArith3 [module, in Smallstep]
SimpleArith3.step_deterministic_alt [lemma, in Smallstep]
SkipExample [module, in UseTactics]
SkipExample.astep_example1 [definition, in UseTactics]
SkipExample.ceval_deterministic [lemma, in UseTactics]
SkipExample.demo_skipH [lemma, in UseTactics]
SkipExample.mult_0_plus [lemma, in UseTactics]
SkipExample.::x_'/'_x_'==>a*'_x [notation, in UseTactics]
skip_axiom [axiom, in LibTactics]
skip_left [lemma, in Equiv]
skip_right [lemma, in Equiv]
slow_assignment_dec [definition, in Hoare2]
slow_assignment_dec_correct [lemma, in Hoare2]
Smallstep [library]
solved_by_jauto [lemma, in UseAuto]
solving_by_apply [lemma, in UseAuto]
solving_by_eapply [lemma, in UseAuto]
solving_by_reflexivity [lemma, in UseAuto]
solving_conj_goal [lemma, in UseAuto]
solving_conj_hyp [lemma, in UseAuto]
solving_conj_hyp' [lemma, in UseAuto]
solving_conj_hyp_forall [lemma, in UseAuto]
solving_conj_more [lemma, in UseAuto]
solving_disj_goal [lemma, in UseAuto]
solving_disj_hyp [lemma, in UseAuto]
solving_exists_goal [lemma, in UseAuto]
solving_exists_hyp [lemma, in UseAuto]
solving_tauto [lemma, in UseAuto]
some_term_is_stuck [definition, in Types]
SortExamples [module, in UseTactics]
SortExamples.ceval_deterministic [lemma, in UseTactics]
soundness [lemma, in Types]
sqrt_correct [lemma, in Hoare2]
sqrt_dec [definition, in Hoare2]
square_dec [definition, in Hoare2]
square_dec' [definition, in Hoare2]
square_dec'_correct [lemma, in Hoare2]
square_dec_correct [lemma, in Hoare2]
square_simpler_dec [definition, in Hoare2]
square_simpler_dec_correct [lemma, in Hoare2]
SS_Load [constructor, in Smallstep]
SS_Minus [constructor, in Smallstep]
SS_Mult [constructor, in Smallstep]
SS_Plus [constructor, in Smallstep]
SS_Push [constructor, in Smallstep]
stack [definition, in Smallstep]
stack_multistep [definition, in Smallstep]
stack_step [inductive, in Smallstep]
stack_step_deterministic [lemma, in Smallstep]
step [inductive, in Types]
step [inductive, in RecordSub]
step [inductive, in Smallstep]
step [inductive, in Norm]
step [inductive, in Sub]
StepFunction [module, in Typechecking]
step_deterministic [lemma, in Types]
step_deterministic [lemma, in Norm]
step_deterministic [lemma, in Smallstep]
step_normalizing [lemma, in Smallstep]
step_normal_form [definition, in Smallstep]
step_normal_form [abbreviation, in Norm]
step_normal_form [abbreviation, in Types]
step_preserves_halting [lemma, in Norm]
step_preserves_R [lemma, in Norm]
step_preserves_record_tm [lemma, in RecordSub]
step_preserves_R' [lemma, in Norm]
step__eval [lemma, in Smallstep]
STLC [module, in Stlc]
Stlc [library]
STLCArith [module, in StlcProp]
STLCArith.tabs [constructor, in StlcProp]
STLCArith.tapp [constructor, in StlcProp]
STLCArith.TArrow [constructor, in StlcProp]
STLCArith.tif0 [constructor, in StlcProp]
STLCArith.tm [inductive, in StlcProp]
STLCArith.tmult [constructor, in StlcProp]
STLCArith.tnat [constructor, in StlcProp]
STLCArith.TNat [constructor, in StlcProp]
STLCArith.tpred [constructor, in StlcProp]
STLCArith.tsucc [constructor, in StlcProp]
STLCArith.tvar [constructor, in StlcProp]
STLCArith.ty [inductive, in StlcProp]
STLCChecker [module, in Typechecking]
STLCChecker.beq_ty [definition, in Typechecking]
STLCChecker.beq_ty_refl [lemma, in Typechecking]
STLCChecker.beq_ty__eq [lemma, in Typechecking]
STLCChecker.type_check [definition, in Typechecking]
STLCChecker.type_checking_complete [lemma, in Typechecking]
STLCChecker.type_checking_sound [lemma, in Typechecking]
STLCExtended [module, in MoreStlc]
STLCExtendedRecords [module, in Records]
STLCExtendedRecords.A [abbreviation, in Records]
STLCExtendedRecords.a [abbreviation, in Records]
STLCExtendedRecords.afi_abs [constructor, in Records]
STLCExtendedRecords.afi_app1 [constructor, in Records]
STLCExtendedRecords.afi_app2 [constructor, in Records]
STLCExtendedRecords.afi_proj [constructor, in Records]
STLCExtendedRecords.afi_rhead [constructor, in Records]
STLCExtendedRecords.afi_rtail [constructor, in Records]
STLCExtendedRecords.afi_var [constructor, in Records]
STLCExtendedRecords.appears_free_in [inductive, in Records]
STLCExtendedRecords.B [abbreviation, in Records]
STLCExtendedRecords.context [definition, in Records]
STLCExtendedRecords.context_invariance [lemma, in Records]
STLCExtendedRecords.f [abbreviation, in Records]
STLCExtendedRecords.FirstTry [module, in Records]
STLCExtendedRecords.FirstTry.alist [definition, in Records]
STLCExtendedRecords.FirstTry.TArrow [constructor, in Records]
STLCExtendedRecords.FirstTry.TBase [constructor, in Records]
STLCExtendedRecords.FirstTry.TRcd [constructor, in Records]
STLCExtendedRecords.FirstTry.ty [inductive, in Records]
STLCExtendedRecords.free_in_context [lemma, in Records]
STLCExtendedRecords.g [abbreviation, in Records]
STLCExtendedRecords.has_type [inductive, in Records]
STLCExtendedRecords.has_type__wf [lemma, 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_AppAbs [constructor, in Records]
STLCExtendedRecords.ST_App1 [constructor, in Records]
STLCExtendedRecords.ST_App2 [constructor, in Records]
STLCExtendedRecords.ST_ProjRcd [constructor, in Records]
STLCExtendedRecords.ST_Proj1 [constructor, in Records]
STLCExtendedRecords.ST_Rcd_Head [constructor, in Records]
STLCExtendedRecords.ST_Rcd_Tail [constructor, in Records]
STLCExtendedRecords.subst [definition, in Records]
STLCExtendedRecords.substitution_preserves_typing [lemma, in Records]
STLCExtendedRecords.tabs [constructor, in Records]
STLCExtendedRecords.tapp [constructor, in Records]
STLCExtendedRecords.TArrow [constructor, in Records]
STLCExtendedRecords.TBase [constructor, in Records]
STLCExtendedRecords.Tlookup [definition, in Records]
STLCExtendedRecords.tlookup [definition, in Records]
STLCExtendedRecords.tm [inductive, in Records]
STLCExtendedRecords.tproj [constructor, in Records]
STLCExtendedRecords.TRCons [constructor, in Records]
STLCExtendedRecords.trcons [constructor, in Records]
STLCExtendedRecords.TRNil [constructor, in Records]
STLCExtendedRecords.trnil [constructor, in Records]
STLCExtendedRecords.tvar [constructor, in Records]
STLCExtendedRecords.ty [inductive, in Records]
STLCExtendedRecords.typing_example_2 [lemma, in Records]
STLCExtendedRecords.typing_nonexample [definition, in Records]
STLCExtendedRecords.typing_nonexample_2 [definition, in Records]
STLCExtendedRecords.T_Abs [constructor, in Records]
STLCExtendedRecords.T_App [constructor, in Records]
STLCExtendedRecords.T_Proj [constructor, in Records]
STLCExtendedRecords.T_RCons [constructor, in Records]
STLCExtendedRecords.T_RNil [constructor, in Records]
STLCExtendedRecords.T_Var [constructor, in Records]
STLCExtendedRecords.value [inductive, in Records]
STLCExtendedRecords.v_abs [constructor, in Records]
STLCExtendedRecords.v_rcons [constructor, in Records]
STLCExtendedRecords.v_rnil [constructor, in Records]
STLCExtendedRecords.weird_type [definition, in Records]
STLCExtendedRecords.well_formed_ty [inductive, in Records]
STLCExtendedRecords.wfTArrow [constructor, in Records]
STLCExtendedRecords.wfTBase [constructor, in Records]
STLCExtendedRecords.wfTRCons [constructor, in Records]
STLCExtendedRecords.wfTRNil [constructor, in Records]
STLCExtendedRecords.wf_rcd_lookup [lemma, in Records]
STLCExtendedRecords.::x_'==>'_x [notation, in Records]
STLCExtendedRecords.::x_'==>*'_x [notation, in Records]
STLCExtendedRecords.::x_'|-'_x_'∈'_x [notation, in Records]
STLCExtendedRecords.::'['_x_':='_x_']'_x [notation, in Records]
STLCExtended.afi_abs [constructor, in MoreStlc]
STLCExtended.afi_app1 [constructor, in MoreStlc]
STLCExtended.afi_app2 [constructor, in MoreStlc]
STLCExtended.afi_case0 [constructor, in MoreStlc]
STLCExtended.afi_case1 [constructor, in MoreStlc]
STLCExtended.afi_case2 [constructor, in MoreStlc]
STLCExtended.afi_cons1 [constructor, in MoreStlc]
STLCExtended.afi_cons2 [constructor, in MoreStlc]
STLCExtended.afi_if01 [constructor, in MoreStlc]
STLCExtended.afi_if02 [constructor, in MoreStlc]
STLCExtended.afi_if03 [constructor, in MoreStlc]
STLCExtended.afi_inl [constructor, in MoreStlc]
STLCExtended.afi_inr [constructor, in MoreStlc]
STLCExtended.afi_lcase1 [constructor, in MoreStlc]
STLCExtended.afi_lcase2 [constructor, in MoreStlc]
STLCExtended.afi_lcase3 [constructor, in MoreStlc]
STLCExtended.afi_mult1 [constructor, in MoreStlc]
STLCExtended.afi_mult2 [constructor, in MoreStlc]
STLCExtended.afi_pred [constructor, in MoreStlc]
STLCExtended.afi_succ [constructor, in MoreStlc]
STLCExtended.afi_var [constructor, in MoreStlc]
STLCExtended.appears_free_in [inductive, in MoreStlc]
STLCExtended.context [definition, in MoreStlc]
STLCExtended.context_invariance [lemma, 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.FixTest2 [module, in MoreStlc]
STLCExtended.Examples.FixTest2.map [definition, in MoreStlc]
STLCExtended.Examples.FixTest3 [module, in MoreStlc]
STLCExtended.Examples.FixTest3.equal [definition, in MoreStlc]
STLCExtended.Examples.FixTest4 [module, in MoreStlc]
STLCExtended.Examples.FixTest4.eotest [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.test [definition, in MoreStlc]
STLCExtended.Examples.ListTest [module, in MoreStlc]
STLCExtended.Examples.ListTest.test [definition, in MoreStlc]
STLCExtended.Examples.m [abbreviation, in MoreStlc]
STLCExtended.Examples.n [abbreviation, in MoreStlc]
STLCExtended.Examples.Numtest [module, in MoreStlc]
STLCExtended.Examples.Numtest.test [definition, in MoreStlc]
STLCExtended.Examples.odd [abbreviation, in MoreStlc]
STLCExtended.Examples.processSum [abbreviation, in MoreStlc]
STLCExtended.Examples.Prodtest [module, in MoreStlc]
STLCExtended.Examples.Prodtest.test [definition, in MoreStlc]
STLCExtended.Examples.Sumtest1 [module, in MoreStlc]
STLCExtended.Examples.Sumtest1.test [definition, in MoreStlc]
STLCExtended.Examples.Sumtest2 [module, in MoreStlc]
STLCExtended.Examples.Sumtest2.test [definition, in MoreStlc]
STLCExtended.Examples.x [abbreviation, in MoreStlc]
STLCExtended.Examples.y [abbreviation, in MoreStlc]
STLCExtended.free_in_context [lemma, 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_AppAbs [constructor, in MoreStlc]
STLCExtended.ST_App1 [constructor, in MoreStlc]
STLCExtended.ST_App2 [constructor, in MoreStlc]
STLCExtended.ST_Case [constructor, in MoreStlc]
STLCExtended.ST_CaseInl [constructor, in MoreStlc]
STLCExtended.ST_CaseInr [constructor, in MoreStlc]
STLCExtended.ST_Cons1 [constructor, in MoreStlc]
STLCExtended.ST_Cons2 [constructor, in MoreStlc]
STLCExtended.ST_If0Nonzero [constructor, in MoreStlc]
STLCExtended.ST_If0Zero [constructor, in MoreStlc]
STLCExtended.ST_If01 [constructor, in MoreStlc]
STLCExtended.ST_Inl [constructor, in MoreStlc]
STLCExtended.ST_Inr [constructor, in MoreStlc]
STLCExtended.ST_LcaseCons [constructor, in MoreStlc]
STLCExtended.ST_LcaseNil [constructor, in MoreStlc]
STLCExtended.ST_Lcase1 [constructor, in MoreStlc]
STLCExtended.ST_MultNats [constructor, in MoreStlc]
STLCExtended.ST_Mult1 [constructor, in MoreStlc]
STLCExtended.ST_Mult2 [constructor, in MoreStlc]
STLCExtended.ST_Pred [constructor, in MoreStlc]
STLCExtended.ST_PredNat [constructor, in MoreStlc]
STLCExtended.ST_SuccNat [constructor, in MoreStlc]
STLCExtended.ST_Succ1 [constructor, in MoreStlc]
STLCExtended.subst [definition, in MoreStlc]
STLCExtended.substitution_preserves_typing [lemma, in MoreStlc]
STLCExtended.tabs [constructor, in MoreStlc]
STLCExtended.tapp [constructor, in MoreStlc]
STLCExtended.TArrow [constructor, in MoreStlc]
STLCExtended.tcase [constructor, in MoreStlc]
STLCExtended.tcons [constructor, in MoreStlc]
STLCExtended.tfix [constructor, in MoreStlc]
STLCExtended.tfst [constructor, in MoreStlc]
STLCExtended.tif0 [constructor, in MoreStlc]
STLCExtended.tinl [constructor, in MoreStlc]
STLCExtended.tinr [constructor, in MoreStlc]
STLCExtended.tlcase [constructor, in MoreStlc]
STLCExtended.tlet [constructor, in MoreStlc]
STLCExtended.TList [constructor, in MoreStlc]
STLCExtended.tm [inductive, in MoreStlc]
STLCExtended.tmult [constructor, in MoreStlc]
STLCExtended.TNat [constructor, in MoreStlc]
STLCExtended.tnat [constructor, in MoreStlc]
STLCExtended.tnil [constructor, in MoreStlc]
STLCExtended.tpair [constructor, in MoreStlc]
STLCExtended.tpred [constructor, in MoreStlc]
STLCExtended.TProd [constructor, in MoreStlc]
STLCExtended.tsnd [constructor, in MoreStlc]
STLCExtended.tsucc [constructor, in MoreStlc]
STLCExtended.TSum [constructor, in MoreStlc]
STLCExtended.tunit [constructor, in MoreStlc]
STLCExtended.TUnit [constructor, in MoreStlc]
STLCExtended.tvar [constructor, in MoreStlc]
STLCExtended.ty [inductive, in MoreStlc]
STLCExtended.T_Abs [constructor, in MoreStlc]
STLCExtended.T_App [constructor, in MoreStlc]
STLCExtended.T_Case [constructor, in MoreStlc]
STLCExtended.T_Cons [constructor, in MoreStlc]
STLCExtended.T_If0 [constructor, in MoreStlc]
STLCExtended.T_Inl [constructor, in MoreStlc]
STLCExtended.T_Inr [constructor, in MoreStlc]
STLCExtended.T_Lcase [constructor, in MoreStlc]
STLCExtended.T_Mult [constructor, in MoreStlc]
STLCExtended.T_Nat [constructor, in MoreStlc]
STLCExtended.T_Nil [constructor, in MoreStlc]
STLCExtended.T_Pred [constructor, in MoreStlc]
STLCExtended.T_Succ [constructor, in MoreStlc]
STLCExtended.T_Unit [constructor, in MoreStlc]
STLCExtended.T_Var [constructor, in MoreStlc]
STLCExtended.value [inductive, in MoreStlc]
STLCExtended.v_abs [constructor, in MoreStlc]
STLCExtended.v_inl [constructor, in MoreStlc]
STLCExtended.v_inr [constructor, in MoreStlc]
STLCExtended.v_lcons [constructor, in MoreStlc]
STLCExtended.v_lnil [constructor, in MoreStlc]
STLCExtended.v_nat [constructor, in MoreStlc]
STLCExtended.v_pair [constructor, in MoreStlc]
STLCExtended.v_unit [constructor, in MoreStlc]
STLCExtended.::x_'==>'_x [notation, in MoreStlc]
STLCExtended.::x_'==>*'_x [notation, in MoreStlc]
STLCExtended.::x_'|-'_x_'∈'_x [notation, in MoreStlc]
STLCExtended.::'['_x_':='_x_']'_x [notation, in MoreStlc]
StlcImpl [module, in Typechecking]
STLCProp [module, in StlcProp]
StlcProp [library]
STLCProp.afi_abs [constructor, in StlcProp]
STLCProp.afi_app1 [constructor, in StlcProp]
STLCProp.afi_app2 [constructor, in StlcProp]
STLCProp.afi_if1 [constructor, in StlcProp]
STLCProp.afi_if2 [constructor, in StlcProp]
STLCProp.afi_if3 [constructor, in StlcProp]
STLCProp.afi_var [constructor, in StlcProp]
STLCProp.appears_free_in [inductive, in StlcProp]
STLCProp.canonical_forms_bool [lemma, in StlcProp]
STLCProp.canonical_forms_fun [lemma, in StlcProp]
STLCProp.closed [definition, in StlcProp]
STLCProp.context_invariance [lemma, in StlcProp]
STLCProp.free_in_context [lemma, in StlcProp]
STLCProp.preservation [lemma, in StlcProp]
STLCProp.progress [lemma, in StlcProp]
STLCProp.progress' [lemma, in StlcProp]
STLCProp.soundness [lemma, in StlcProp]
STLCProp.stuck [definition, in StlcProp]
STLCProp.substitution_preserves_typing [lemma, in StlcProp]
STLCProp.typable_empty__closed [lemma, in StlcProp]
STLCRef [module, in References]
STLCRef.afi_abs [constructor, in References]
STLCRef.afi_app1 [constructor, in References]
STLCRef.afi_app2 [constructor, in References]
STLCRef.afi_assign1 [constructor, in References]
STLCRef.afi_assign2 [constructor, in References]
STLCRef.afi_deref [constructor, in References]
STLCRef.afi_if0_1 [constructor, in References]
STLCRef.afi_if0_2 [constructor, in References]
STLCRef.afi_if0_3 [constructor, in References]
STLCRef.afi_mult1 [constructor, in References]
STLCRef.afi_mult2 [constructor, in References]
STLCRef.afi_pred [constructor, in References]
STLCRef.afi_ref [constructor, in References]
STLCRef.afi_succ [constructor, in References]
STLCRef.afi_var [constructor, in References]
STLCRef.appears_free_in [inductive, in References]
STLCRef.assign_pres_store_typing [lemma, in References]
STLCRef.context [definition, in References]
STLCRef.context_invariance [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_app [lemma, in References]
STLCRef.extends_cons [constructor, in References]
STLCRef.extends_lookup [lemma, in References]
STLCRef.extends_nil [constructor, in References]
STLCRef.extends_refl [lemma, in References]
STLCRef.free_in_context [lemma, in References]
STLCRef.has_type [inductive, in References]
STLCRef.length_extends [lemma, in References]
STLCRef.length_replace [lemma, in References]
STLCRef.lookup_replace_eq [lemma, in References]
STLCRef.lookup_replace_neq [lemma, 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_wrong1 [lemma, in References]
STLCRef.preservation_wrong2 [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 [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.multistep1 [definition, in References]
STLCRef.RefsAndNontermination.sc_one [constructor, in References]
STLCRef.RefsAndNontermination.sc_step [constructor, in References]
STLCRef.RefsAndNontermination.step_closure [inductive, in References]
STLCRef.RefsAndNontermination.::x_'/'_x_'==>+'_x_'/'_x [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_lookup [definition, in References]
STLCRef.store_Tlookup [definition, in References]
STLCRef.store_ty [definition, in References]
STLCRef.store_weakening [lemma, in References]
STLCRef.store_well_typed [definition, in References]
STLCRef.store_well_typed_app [lemma, in References]
STLCRef.ST_AppAbs [constructor, in References]
STLCRef.ST_App1 [constructor, in References]
STLCRef.ST_App2 [constructor, in References]
STLCRef.ST_Assign [constructor, in References]
STLCRef.ST_Assign1 [constructor, in References]
STLCRef.ST_Assign2 [constructor, in References]
STLCRef.ST_Deref [constructor, in References]
STLCRef.ST_DerefLoc [constructor, in References]
STLCRef.ST_If0 [constructor, in References]
STLCRef.ST_If0_Nonzero [constructor, in References]
STLCRef.ST_If0_Zero [constructor, in References]
STLCRef.ST_MultNats [constructor, in References]
STLCRef.ST_Mult1 [constructor, in References]
STLCRef.ST_Mult2 [constructor, in References]
STLCRef.ST_Pred [constructor, in References]
STLCRef.ST_PredNat [constructor, in References]
STLCRef.ST_Ref [constructor, in References]
STLCRef.ST_RefValue [constructor, in References]
STLCRef.ST_Succ [constructor, in References]
STLCRef.ST_SuccNat [constructor, in References]
STLCRef.subst [definition, in References]
STLCRef.substitution_preserves_typing [lemma, in References]
STLCRef.tabs [constructor, in References]
STLCRef.tapp [constructor, in References]
STLCRef.TArrow [constructor, in References]
STLCRef.tassign [constructor, in References]
STLCRef.tderef [constructor, in References]
STLCRef.tif0 [constructor, in References]
STLCRef.tloc [constructor, in References]
STLCRef.tm [inductive, in References]
STLCRef.tmult [constructor, in References]
STLCRef.tnat [constructor, in References]
STLCRef.TNat [constructor, in References]
STLCRef.tpred [constructor, in References]
STLCRef.TRef [constructor, in References]
STLCRef.tref [constructor, in References]
STLCRef.tseq [definition, in References]
STLCRef.tsucc [constructor, in References]
STLCRef.tunit [constructor, in References]
STLCRef.TUnit [constructor, in References]
STLCRef.tvar [constructor, in References]
STLCRef.ty [inductive, in References]
STLCRef.T_Abs [constructor, in References]
STLCRef.T_App [constructor, in References]
STLCRef.T_Assign [constructor, in References]
STLCRef.T_Deref [constructor, in References]
STLCRef.T_If0 [constructor, in References]
STLCRef.T_Loc [constructor, in References]
STLCRef.T_Mult [constructor, in References]
STLCRef.T_Nat [constructor, in References]
STLCRef.T_Pred [constructor, in References]
STLCRef.T_Ref [constructor, in References]
STLCRef.T_Succ [constructor, in References]
STLCRef.T_Unit [constructor, in References]
STLCRef.T_Var [constructor, in References]
STLCRef.value [inductive, in References]
STLCRef.v_abs [constructor, in References]
STLCRef.v_loc [constructor, in References]
STLCRef.v_nat [constructor, in References]
STLCRef.v_unit [constructor, in References]
STLCRef.::x_'/'_x_'==>'_x_'/'_x [notation, in References]
STLCRef.::x_'/'_x_'==>*'_x_'/'_x [notation, in References]
STLCRef.::x_';'_x_'|-'_x_'∈'_x [notation, in References]
STLCRef.::'['_x_':='_x_']'_x [notation, in References]
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_example1 [lemma, in Stlc]
STLC.step_example1' [lemma, in Stlc]
STLC.step_example2 [lemma, in Stlc]
STLC.step_example2' [lemma, in Stlc]
STLC.step_example3 [lemma, in Stlc]
STLC.step_example3' [lemma, in Stlc]
STLC.step_example4 [lemma, in Stlc]
STLC.step_example4' [lemma, in Stlc]
STLC.step_example5 [lemma, in Stlc]
STLC.step_example5_with_normalize [lemma, in Stlc]
STLC.ST_AppAbs [constructor, in Stlc]
STLC.ST_App1 [constructor, in Stlc]
STLC.ST_App2 [constructor, in Stlc]
STLC.ST_If [constructor, in Stlc]
STLC.ST_IfFalse [constructor, in Stlc]
STLC.ST_IfTrue [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.tabs [constructor, in Stlc]
STLC.tapp [constructor, in Stlc]
STLC.TArrow [constructor, in Stlc]
STLC.TBool [constructor, in Stlc]
STLC.tfalse [constructor, in Stlc]
STLC.tif [constructor, in Stlc]
STLC.tm [inductive, in Stlc]
STLC.ttrue [constructor, in Stlc]
STLC.tvar [constructor, in Stlc]
STLC.ty [inductive, in Stlc]
STLC.typing_example_1 [definition, in Stlc]
STLC.typing_example_1' [definition, in Stlc]
STLC.typing_example_2 [definition, in Stlc]
STLC.typing_example_2_full [definition, in Stlc]
STLC.typing_example_3 [definition, in Stlc]
STLC.typing_nonexample_1 [definition, in Stlc]
STLC.typing_nonexample_3 [definition, in Stlc]
STLC.T_Abs [constructor, in Stlc]
STLC.T_App [constructor, in Stlc]
STLC.T_False [constructor, in Stlc]
STLC.T_If [constructor, in Stlc]
STLC.T_True [constructor, in Stlc]
STLC.T_Var [constructor, in Stlc]
STLC.value [inductive, in Stlc]
STLC.v_abs [constructor, in Stlc]
STLC.v_false [constructor, in Stlc]
STLC.v_true [constructor, in Stlc]
STLC.x [definition, in Stlc]
STLC.y [definition, in Stlc]
STLC.z [definition, in Stlc]
STLC.::x_'==>'_x [notation, in Stlc]
STLC.::x_'==>*'_x [notation, in Stlc]
STLC.::x_'|-'_x_'∈'_x [notation, in Stlc]
STLC.::'['_x_':='_x_']'_x [notation, in Stlc]
strong_progress [lemma, in Smallstep]
stuck [definition, in Types]
ST_AppAbs [constructor, in Norm]
ST_AppAbs [constructor, in RecordSub]
ST_AppAbs [constructor, in Sub]
ST_App1 [constructor, in Norm]
ST_App1 [constructor, in Sub]
ST_App1 [constructor, in RecordSub]
ST_App2 [constructor, in Sub]
ST_App2 [constructor, in RecordSub]
ST_App2 [constructor, in Norm]
ST_Fst [constructor, in Norm]
ST_FstPair [constructor, in Norm]
ST_If [constructor, in Types]
ST_If [constructor, in Norm]
ST_If [constructor, in Sub]
ST_IfFalse [constructor, in Norm]
ST_IfFalse [constructor, in Types]
ST_IfFalse [constructor, in Sub]
ST_IfTrue [constructor, in Types]
ST_IfTrue [constructor, in Sub]
ST_IfTrue [constructor, in Norm]
ST_Iszero [constructor, in Types]
ST_IszeroSucc [constructor, in Types]
ST_IszeroZero [constructor, in Types]
ST_Pair1 [constructor, in Norm]
ST_Pair2 [constructor, in Norm]
ST_PlusConstConst [constructor, in Smallstep]
ST_Plus1 [constructor, in Smallstep]
ST_Plus2 [constructor, in Smallstep]
ST_Pred [constructor, in Types]
ST_PredSucc [constructor, in Types]
ST_PredZero [constructor, in Types]
ST_ProjRcd [constructor, in RecordSub]
ST_Proj1 [constructor, in RecordSub]
ST_Rcd_Head [constructor, in RecordSub]
ST_Rcd_Tail [constructor, in RecordSub]
ST_Snd [constructor, in Norm]
ST_SndPair [constructor, in Norm]
ST_Succ [constructor, in Types]
Sub [library]
subst [definition, in Norm]
subst [definition, in Sub]
subst [definition, in RecordSub]
substitution_preserves_typing [lemma, in Norm]
substitution_preserves_typing [lemma, in RecordSub]
substitution_preserves_typing [lemma, in Sub]
subst_aexp [definition, in Equiv]
subst_aexp_ex [definition, in Equiv]
subst_closed [lemma, in Norm]
subst_equiv_property [definition, in Equiv]
subst_inequiv [lemma, in Equiv]
subst_msubst [lemma, in Norm]
subst_not_afi [lemma, in Norm]
subtract_slowly_dec [definition, in Hoare2]
subtract_slowly_dec_correct [lemma, in Hoare2]
subtype [axiom, in UseAuto]
subtype [inductive, in RecordSub]
subtype [inductive, in Sub]
subtype_refl [axiom, in UseAuto]
subtype_trans [axiom, in UseAuto]
subtype__wf [lemma, in RecordSub]
SubtypingInversion [module, in UseAuto]
SubtypingInversion.abs_arrow [lemma, in UseAuto]
SubtypingInversion.abs_arrow' [lemma, in UseAuto]
SubtypingInversion.substitution_preserves_typing [lemma, in UseAuto]
sub_inversion_arrow [lemma, in Sub]
sub_inversion_arrow [lemma, in RecordSub]
sub_inversion_Bool [lemma, in Sub]
succ_hastype_nat__hastype_nat [definition, in Types]
swap [definition, in Hoare2]
swap_correct [lemma, in Hoare2]
swap_dec [definition, in Hoare2]
swap_exercise [lemma, in Hoare]
swap_if_branches [lemma, in Equiv]
swap_noninterfering_assignments [lemma, in Equiv]
swap_program [definition, in Hoare]
swap_subst [lemma, in Norm]
sym_aequiv [lemma, in Equiv]
sym_bequiv [lemma, in Equiv]
sym_cequiv [lemma, in Equiv]
S_Arrow [constructor, in RecordSub]
S_Arrow [constructor, in Sub]
S_RcdDepth [constructor, in RecordSub]
S_RcdPerm [constructor, in RecordSub]
S_RcdWidth [constructor, in RecordSub]
S_Refl [constructor, in RecordSub]
S_Refl [constructor, in Sub]
S_Top [constructor, in Sub]
S_Top [constructor, in RecordSub]
S_Trans [constructor, in RecordSub]
S_Trans [constructor, in Sub]


T

T [definition, in Hoare2]
tabs [constructor, in Sub]
tabs [constructor, in RecordSub]
tabs [constructor, in Norm]
tapp [constructor, in RecordSub]
tapp [constructor, in Norm]
tapp [constructor, in Sub]
TArrow [constructor, in Norm]
TArrow [constructor, in Sub]
TArrow [constructor, in RecordSub]
tass [definition, in Norm]
TBase [constructor, in Sub]
TBase [constructor, in RecordSub]
TBool [constructor, in Types]
TBool [constructor, in Norm]
TBool [constructor, in Sub]
Temp1 [module, in Smallstep]
Temp1.step [inductive, in Smallstep]
Temp1.ST_PlusConstConst [constructor, in Smallstep]
Temp1.ST_Plus1 [constructor, in Smallstep]
Temp1.ST_Plus2 [constructor, in Smallstep]
Temp1.value [inductive, in Smallstep]
Temp1.value_not_same_as_normal_form [lemma, in Smallstep]
Temp1.v_const [constructor, in Smallstep]
Temp1.v_funny [constructor, in Smallstep]
Temp1.::x_'==>'_x [notation, in Smallstep]
Temp2 [module, in Smallstep]
Temp2.step [inductive, in Smallstep]
Temp2.ST_Funny [constructor, in Smallstep]
Temp2.ST_PlusConstConst [constructor, in Smallstep]
Temp2.ST_Plus1 [constructor, in Smallstep]
Temp2.ST_Plus2 [constructor, in Smallstep]
Temp2.value [inductive, in Smallstep]
Temp2.value_not_same_as_normal_form [lemma, in Smallstep]
Temp2.v_const [constructor, in Smallstep]
Temp2.::x_'==>'_x [notation, in Smallstep]
Temp3 [module, in Smallstep]
Temp3.step [inductive, in Smallstep]
Temp3.ST_PlusConstConst [constructor, in Smallstep]
Temp3.ST_Plus1 [constructor, in Smallstep]
Temp3.value [inductive, in Smallstep]
Temp3.value_not_same_as_normal_form [lemma, in Smallstep]
Temp3.v_const [constructor, in Smallstep]
Temp3.::x_'==>'_x [notation, in Smallstep]
Temp4 [module, in Smallstep]
Temp4.bool_step_prop1 [definition, in Smallstep]
Temp4.bool_step_prop2 [definition, in Smallstep]
Temp4.bool_step_prop3 [definition, in Smallstep]
Temp4.step [inductive, in Smallstep]
Temp4.step_deterministic [lemma, in Smallstep]
Temp4.strong_progress [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 [definition, in Smallstep]
Temp4.Temp5.bool_step_prop4_holds [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]
Temp4.Temp5.::x_'==>'_x [notation, in Smallstep]
Temp4.tfalse [constructor, in Smallstep]
Temp4.tif [constructor, in Smallstep]
Temp4.tm [inductive, in Smallstep]
Temp4.ttrue [constructor, in Smallstep]
Temp4.value [inductive, in Smallstep]
Temp4.v_false [constructor, in Smallstep]
Temp4.v_true [constructor, in Smallstep]
Temp4.::x_'==>'_x [notation, in Smallstep]
test_multistep_1 [lemma, in Smallstep]
test_multistep_1' [lemma, in Smallstep]
test_multistep_2 [lemma, in Smallstep]
test_multistep_3 [lemma, in Smallstep]
test_multistep_4 [lemma, in Smallstep]
test_pe_aexp1 [definition, in PE]
test_pe_bexp1 [definition, in PE]
test_pe_bexp2 [definition, in PE]
test_pe_update [definition, in PE]
text_pe_aexp2 [definition, in PE]
tfalse [constructor, in Sub]
tfalse [constructor, in Types]
tfalse [constructor, in Norm]
tfst [constructor, in Norm]
tif [constructor, in Sub]
tif [constructor, in Norm]
tif [constructor, in Types]
tiszero [constructor, in Types]
Tlookup [definition, in RecordSub]
tlookup [definition, in RecordSub]
tm [inductive, in Types]
tm [inductive, in Sub]
tm [inductive, in Norm]
tm [inductive, in RecordSub]
tm [inductive, in Smallstep]
TNat [constructor, in Types]
tpair [constructor, in Norm]
tpred [constructor, in Types]
TProd [constructor, in Norm]
tproj [constructor, in RecordSub]
transitivity_bad_hint_1 [lemma, in UseAuto]
transitivity_workaround_1 [lemma, in UseAuto]
transitivity_workaround_2 [lemma, in UseAuto]
trans_aequiv [lemma, in Equiv]
trans_bequiv [lemma, in Equiv]
trans_cequiv [lemma, in Equiv]
trcons [constructor, in RecordSub]
TRCons [constructor, in RecordSub]
TRNil [constructor, in RecordSub]
trnil [constructor, in RecordSub]
tsnd [constructor, in Norm]
tsucc [constructor, in Types]
TTop [constructor, in Sub]
TTop [constructor, in RecordSub]
ttrue [constructor, in Sub]
ttrue [constructor, in Types]
ttrue [constructor, in Norm]
tunit [constructor, in Sub]
TUnit [constructor, in Sub]
tvar [constructor, in Sub]
tvar [constructor, in Norm]
tvar [constructor, in RecordSub]
two_loops_correct [lemma, in Hoare2]
two_loops_dec [definition, in Hoare2]
ty [inductive, in RecordSub]
ty [inductive, in Norm]
ty [inductive, in Sub]
ty [inductive, in Types]
typ [axiom, in UseAuto]
typable_empty__closed [lemma, in Norm]
TypecheckerExtensions [module, in Typechecking]
TypecheckerExtensions.beq_ty [definition, in Typechecking]
TypecheckerExtensions.beq_ty_refl [lemma, in Typechecking]
TypecheckerExtensions.beq_ty__eq [lemma, in Typechecking]
TypecheckerExtensions.type_check [definition, in Typechecking]
TypecheckerExtensions.type_checking_complete [lemma, in Typechecking]
TypecheckerExtensions.type_checking_sound [lemma, in Typechecking]
Typechecking [library]
Types [library]
typing_inversion_abs [lemma, in Sub]
typing_inversion_abs [lemma, in RecordSub]
typing_inversion_app [lemma, in RecordSub]
typing_inversion_app [lemma, in Sub]
typing_inversion_false [lemma, in Sub]
typing_inversion_if [lemma, in Sub]
typing_inversion_proj [lemma, in RecordSub]
typing_inversion_rcons [lemma, in RecordSub]
typing_inversion_true [lemma, in Sub]
typing_inversion_unit [lemma, in Sub]
typing_inversion_var [lemma, in Sub]
typing_inversion_var [lemma, in RecordSub]
tzero [constructor, in Types]
T_Abs [constructor, in Sub]
T_Abs [constructor, in RecordSub]
T_Abs [constructor, in Norm]
T_App [constructor, in Sub]
T_App [constructor, in Norm]
T_App [constructor, in RecordSub]
T_False [constructor, in Sub]
T_False [constructor, in Norm]
T_False [constructor, in Types]
T_Fst [constructor, in Norm]
T_If [constructor, in Sub]
T_If [constructor, in Norm]
T_If [constructor, in Types]
T_Iszero [constructor, in Types]
T_Pair [constructor, in Norm]
T_Pred [constructor, in Types]
T_Proj [constructor, in RecordSub]
T_RCons [constructor, in RecordSub]
T_RNil [constructor, in RecordSub]
T_Snd [constructor, in Norm]
T_Sub [constructor, in RecordSub]
T_Sub [constructor, in Sub]
T_Succ [constructor, in Types]
T_True [constructor, in Norm]
T_True [constructor, in Types]
T_True [constructor, in Sub]
T_Unit [constructor, in Sub]
T_Var [constructor, in Sub]
T_Var [constructor, in Norm]
T_Var [constructor, in RecordSub]
T_Zero [constructor, in Types]


U

UnfoldsExample [module, in UseTactics]
UnfoldsExample.bexp_eval_true [lemma, in UseTactics]
UseAuto [library]
UseTactics [library]


V

vacuous_substitution [lemma, in Norm]
value [inductive, in RecordSub]
value [inductive, in Sub]
value [definition, in Types]
value [inductive, in Smallstep]
value [inductive, in Norm]
value_halts [lemma, in Norm]
value_is_nf [lemma, in Types]
value_is_nf [lemma, in Smallstep]
value__normal [lemma, in Norm]
var_not_used_in_aexp [inductive, in Equiv]
verification_conditions [definition, in Hoare2]
verification_conditions_dec [definition, in Hoare2]
verification_correct [lemma, in Hoare2]
verification_correct_dec [lemma, in Hoare2]
VNUId [constructor, in Equiv]
VNUMinus [constructor, in Equiv]
VNUMult [constructor, in Equiv]
VNUNum [constructor, in Equiv]
VNUPlus [constructor, in Equiv]
v_abs [constructor, in RecordSub]
v_abs [constructor, in Norm]
v_abs [constructor, in Sub]
V_cons [constructor, in Norm]
v_const [constructor, in Smallstep]
v_false [constructor, in Sub]
v_false [constructor, in Norm]
V_nil [constructor, in Norm]
v_pair [constructor, in Norm]
v_rcons [constructor, in RecordSub]
v_rnil [constructor, in RecordSub]
v_true [constructor, in Norm]
v_true [constructor, in Sub]
v_unit [constructor, in Sub]


W

well_formed_ty [inductive, in RecordSub]
wfTArrow [constructor, in RecordSub]
wfTBase [constructor, in RecordSub]
wfTRCons [constructor, in RecordSub]
wfTRNil [constructor, in RecordSub]
wfTTop [constructor, in RecordSub]
wf_rcd_lookup [lemma, in RecordSub]
while_example [definition, in Hoare]
WHILE_false [lemma, in Equiv]
WHILE_true [lemma, in Equiv]
WHILE_true_nonterm [lemma, in Equiv]
working_of_auto_1 [lemma, in UseAuto]
working_of_auto_2 [lemma, in UseAuto]
wp [definition, in HoareAsLogic]
wp_is_precondition [lemma, in HoareAsLogic]
wp_is_weakest [lemma, in HoareAsLogic]


Z

zprop [definition, in Equiv]
zprop_preserving [lemma, in Equiv]


:

:dcom_scope:x_'->>'_'{{'_x_'}}' [notation, in Hoare2]
:dcom_scope:x_'::='_x_'{{'_x_'}}' [notation, in Hoare2]
:dcom_scope:x_';;'_x [notation, in Hoare2]
:dcom_scope:'IFB'_x_'THEN'_'{{'_x_'}}'_x_'ELSE'_'{{'_x_'}}'_x_'FI'_'{{'_x_'}}' [notation, in Hoare2]
:dcom_scope:'SKIP'_'{{'_x_'}}' [notation, in Hoare2]
:dcom_scope:'WHILE'_x_'DO'_'{{'_x_'}}'_x_'END'_'{{'_x_'}}' [notation, in Hoare2]
:dcom_scope:'->>'_'{{'_x_'}}'_x [notation, in Hoare2]
:dcom_scope:'{{'_x_'}}'_x [notation, in Hoare2]
:hoare_spec_scope:x_'->>'_x [notation, in Hoare]
:hoare_spec_scope:x_'<<->>'_x [notation, in Hoare]
:hoare_spec_scope:'{{'_x_'}}'_x_'{{'_x_'}}' [notation, in Hoare]
:ltac_scope:'>>' [notation, in LibTactics]
:ltac_scope:'>>'_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x_x_x_x [notation, in LibTactics]
:ltac_scope:'__' [notation, in LibTactics]
:ltac_scope:'___' [notation, in LibTactics]
::x_'/'_x_'/'_x_'\\'_x [notation, in PE]
::x_'/'_x_'==>a'_x [notation, in Smallstep]
::x_'/'_x_'==>b'_x [notation, in Smallstep]
::x_'/'_x_'==>'_x_'/'_x [notation, in Smallstep]
::x_'/'_x_'\\'_x_'/'_x [notation, in PE]
::x_'<:'_x [notation, in RecordSub]
::x_'<:'_x [notation, in Sub]
::x_'='''_x [notation, in LibTactics]
::x_'==>'_x [notation, in RecordSub]
::x_'==>'_x [notation, in Sub]
::x_'==>'_x [notation, in Types]
::x_'==>'_x [notation, in Norm]
::x_'==>'_x [notation, in Smallstep]
::x_'==>*'_x [notation, in Smallstep]
::x_'==>*'_x [notation, in Types]
::x_'==>*'_x [notation, in Norm]
::x_'['_x_'|->'_x_']' [notation, in Hoare]
::x_'\\'_x [notation, in Smallstep]
::x_'|-'_x_'∈'_x [notation, in RecordSub]
::x_'|-'_x_'∈'_x [notation, in Sub]
::'nosimpl'_x [notation, in LibTactics]
::'Register'_x_x [notation, in LibTactics]
::'Something' [notation, in LibTactics]
::'['_x_':='_x_']'_x [notation, in RecordSub]
::'['_x_':='_x_']'_x [notation, in Sub]
::'['_x_':='_x_']'_x [notation, in Norm]
::'|-'_x_'∈'_x [notation, in Types]



Notation Index

C

CImp.::x_'/'_x_'==>'_x_'/'_x [in Smallstep]
CImp.::x_'/'_x_'==>*'_x_'/'_x [in Smallstep]
CImp.::x_'::='_x [in Smallstep]
CImp.::x_';;'_x [in Smallstep]
CImp.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [in Smallstep]
CImp.::'PAR'_x_'WITH'_x_'END' [in Smallstep]
CImp.::'SKIP' [in Smallstep]
CImp.::'WHILE'_x_'DO'_x_'END' [in Smallstep]
Combined.::x_'==>'_x [in Smallstep]


H

Himp.:hoare_spec_scope:'{{'_x_'}}'_x_'{{'_x_'}}' [in Hoare]
Himp.::x_'/'_x_'\\'_x [in Hoare]
Himp.::x_'/'_x_'\\'_x [in Equiv]
Himp.::x_'::='_x [in Equiv]
Himp.::x_'::='_x [in Hoare]
Himp.::x_';;'_x [in Hoare]
Himp.::x_';;'_x [in Equiv]
Himp.::'HAVOC'_x [in Hoare]
Himp.::'HAVOC'_x [in Equiv]
Himp.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [in Hoare]
Himp.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [in Equiv]
Himp.::'SKIP' [in Equiv]
Himp.::'SKIP' [in Hoare]
Himp.::'WHILE'_x_'DO'_x_'END' [in Hoare]
Himp.::'WHILE'_x_'DO'_x_'END' [in Equiv]


I

If1.:hoare_spec_scope:'{{'_x_'}}'_x_'{{'_x_'}}' [in Hoare]
If1.::x_'/'_x_'\\'_x [in Hoare]
If1.::x_'::='_x [in Hoare]
If1.::x_';;'_x [in Hoare]
If1.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [in Hoare]
If1.::'IF1'_x_'THEN'_x_'FI' [in Hoare]
If1.::'SKIP' [in Hoare]
If1.::'WHILE'_x_'DO'_x_'END' [in Hoare]


L

Loop.::x_'/'_x_'/'_x_'/'_x_'\\'_x_'#'_x [in PE]
Loop.::x_'/'_x_'\\'_x_'#'_x [in PE]
Loop.::x_'/'_x_'\\'_x_'/'_x_'/'_x [in PE]


R

RepeatExercise.::x_'/'_x_'\\'_x [in Hoare]
RepeatExercise.::x_'::='_x [in Hoare]
RepeatExercise.::x_';;'_x [in Hoare]
RepeatExercise.::'IFB'_x_'THEN'_x_'ELSE'_x_'FI' [in Hoare]
RepeatExercise.::'REPEAT'_x_'UNTIL'_x_'END' [in Hoare]
RepeatExercise.::'SKIP' [in Hoare]
RepeatExercise.::'WHILE'_x_'DO'_x_'END' [in Hoare]
RepeatExercise.::'{{'_x_'}}'_x_'{{'_x_'}}' [in Hoare]


S

SimpleArith1.::x_'==>'_x [in Smallstep]
SkipExample.::x_'/'_x_'==>a*'_x [in UseTactics]
STLCExtendedRecords.::x_'==>'_x [in Records]
STLCExtendedRecords.::x_'==>*'_x [in Records]
STLCExtendedRecords.::x_'|-'_x_'∈'_x [in Records]
STLCExtendedRecords.::'['_x_':='_x_']'_x [in Records]
STLCExtended.::x_'==>'_x [in MoreStlc]
STLCExtended.::x_'==>*'_x [in MoreStlc]
STLCExtended.::x_'|-'_x_'∈'_x [in MoreStlc]
STLCExtended.::'['_x_':='_x_']'_x [in MoreStlc]
STLCRef.RefsAndNontermination.::x_'/'_x_'==>+'_x_'/'_x [in References]
STLCRef.::x_'/'_x_'==>'_x_'/'_x [in References]
STLCRef.::x_'/'_x_'==>*'_x_'/'_x [in References]
STLCRef.::x_';'_x_'|-'_x_'∈'_x [in References]
STLCRef.::'['_x_':='_x_']'_x [in References]
STLC.::x_'==>'_x [in Stlc]
STLC.::x_'==>*'_x [in Stlc]
STLC.::x_'|-'_x_'∈'_x [in Stlc]
STLC.::'['_x_':='_x_']'_x [in Stlc]


T

Temp1.::x_'==>'_x [in Smallstep]
Temp2.::x_'==>'_x [in Smallstep]
Temp3.::x_'==>'_x [in Smallstep]
Temp4.Temp5.::x_'==>'_x [in Smallstep]
Temp4.::x_'==>'_x [in Smallstep]


:

:dcom_scope:x_'->>'_'{{'_x_'}}' [in Hoare2]
:dcom_scope:x_'::='_x_'{{'_x_'}}' [in Hoare2]
:dcom_scope:x_';;'_x [in Hoare2]
:dcom_scope:'IFB'_x_'THEN'_'{{'_x_'}}'_x_'ELSE'_'{{'_x_'}}'_x_'FI'_'{{'_x_'}}' [in Hoare2]
:dcom_scope:'SKIP'_'{{'_x_'}}' [in Hoare2]
:dcom_scope:'WHILE'_x_'DO'_'{{'_x_'}}'_x_'END'_'{{'_x_'}}' [in Hoare2]
:dcom_scope:'->>'_'{{'_x_'}}'_x [in Hoare2]
:dcom_scope:'{{'_x_'}}'_x [in Hoare2]
:hoare_spec_scope:x_'->>'_x [in Hoare]
:hoare_spec_scope:x_'<<->>'_x [in Hoare]
:hoare_spec_scope:'{{'_x_'}}'_x_'{{'_x_'}}' [in Hoare]
:ltac_scope:'>>' [in LibTactics]
:ltac_scope:'>>'_x [in LibTactics]
:ltac_scope:'>>'_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'>>'_x_x_x_x_x_x_x_x_x_x_x_x_x [in LibTactics]
:ltac_scope:'__' [in LibTactics]
:ltac_scope:'___' [in LibTactics]
::x_'/'_x_'/'_x_'\\'_x [in PE]
::x_'/'_x_'==>a'_x [in Smallstep]
::x_'/'_x_'==>b'_x [in Smallstep]
::x_'/'_x_'==>'_x_'/'_x [in Smallstep]
::x_'/'_x_'\\'_x_'/'_x [in PE]
::x_'<:'_x [in RecordSub]
::x_'<:'_x [in Sub]
::x_'='''_x [in LibTactics]
::x_'==>'_x [in RecordSub]
::x_'==>'_x [in Sub]
::x_'==>'_x [in Types]
::x_'==>'_x [in Norm]
::x_'==>'_x [in Smallstep]
::x_'==>*'_x [in Smallstep]
::x_'==>*'_x [in Types]
::x_'==>*'_x [in Norm]
::x_'['_x_'|->'_x_']' [in Hoare]
::x_'\\'_x [in Smallstep]
::x_'|-'_x_'∈'_x [in RecordSub]
::x_'|-'_x_'∈'_x [in Sub]
::'nosimpl'_x [in LibTactics]
::'Register'_x_x [in LibTactics]
::'Something' [in LibTactics]
::'['_x_':='_x_']'_x [in RecordSub]
::'['_x_':='_x_']'_x [in Sub]
::'['_x_':='_x_']'_x [in Norm]
::'|-'_x_'∈'_x [in Types]



Module Index

C

CImp [in Smallstep]
Combined [in Smallstep]


D

DeterministicImp [in UseAuto]


E

EqualityExamples [in UseTactics]
Examples [in RecordSub]
Examples [in Sub]
ExamplesInstantiations [in UseTactics]
ExamplesLets [in UseTactics]
Examples2 [in RecordSub]
Examples2 [in Sub]
ExAssertions [in Hoare]


G

GenExample [in UseTactics]


H

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


I

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


L

LibTacticsCompatibility [in LibTactics]
Loop [in PE]


N

NaryExamples [in UseTactics]
NormalizePlayground [in Types]


P

PreservationProgressReferences [in UseAuto]
PreservationProgressStlc [in UseAuto]
ProductExtension [in Sub]


R

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]
SubtypingInversion [in UseAuto]


T

Temp1 [in Smallstep]
Temp2 [in Smallstep]
Temp3 [in Smallstep]
Temp4 [in Smallstep]
Temp4.Temp5 [in Smallstep]
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]



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

abs_arrow [in Sub]
abs_arrow [in RecordSub]
aequiv_example [in Equiv]
aeval_weakening [in Equiv]
always_loop_hoare [in Hoare]
assign_aequiv [in Equiv]
assign_removes [in PE]


B

bassn_eval_false [in HoareAsLogic]
bequiv_example [in Equiv]
bexp_eval_false [in Hoare]
bexp_eval_true [in Hoare]
bool_canonical [in Types]


C

canonical_forms_of_arrow_types [in RecordSub]
canonical_forms_of_arrow_types [in Sub]
canonical_forms_of_Bool [in Sub]
CAss_congruence [in Equiv]
ceval_extensionality [in PE]
CIf_congruence [in Equiv]
CImp.par_body_n [in Smallstep]
CImp.par_body_n__Sn [in Smallstep]
CImp.par_loop_any_X [in Smallstep]
cmin_minimal [in Equiv]
compiler_is_correct [in Smallstep]
congruence_demo_1 [in UseAuto]
congruence_demo_2 [in UseAuto]
congruence_demo_3 [in UseAuto]
congruence_demo_4 [in UseAuto]
context_invariance [in Sub]
context_invariance [in Norm]
context_invariance [in RecordSub]
CSeq_congruence [in Equiv]
CWhile_congruence [in Equiv]
c3_c4_different [in Equiv]


D

dec_while_correct [in Hoare2]
demo_auto_absurd_1 [in UseAuto]
demo_auto_absurd_2 [in UseAuto]
demo_clears_all_and_clears_but [in LibTactics]
demo_false [in UseTactics]
demo_false [in UseAuto]
demo_false_arg [in UseTactics]
demo_hint_unfold_context_1 [in UseAuto]
demo_hint_unfold_context_2 [in UseAuto]
demo_hint_unfold_goal_1 [in UseAuto]
demo_hint_unfold_goal_2 [in UseAuto]
demo_tryfalse [in UseTactics]
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_dec_correct [in Hoare2]
dpow2_down_correct [in Hoare2]
duplicate_subst [in Norm]
dup_lemma [in LibTactics]


E

EqualityExamples.demo_applys_eq_1 [in UseTactics]
EqualityExamples.demo_applys_eq_2 [in UseTactics]
EqualityExamples.demo_applys_eq_3 [in UseTactics]
EqualityExamples.demo_fequals [in UseTactics]
EqualityExamples.demo_substs [in UseTactics]
EqualityExamples.mult_0_plus [in UseTactics]
EqualityExamples.mult_0_plus' [in UseTactics]
EqualityExamples.mult_0_plus'' [in UseTactics]
equality_by_auto [in UseAuto]
equates_0 [in LibTactics]
equates_1 [in LibTactics]
equates_2 [in LibTactics]
equates_3 [in LibTactics]
equates_4 [in LibTactics]
equates_5 [in LibTactics]
equates_6 [in LibTactics]
evalF_eval [in Smallstep]
eval_assign [in PE]
eval__multistep [in Smallstep]
ExamplesInstantiations.substitution_preserves_typing [in UseTactics]
ExamplesLets.demo_lets_underscore [in UseTactics]
ExamplesLets.demo_lets_1 [in UseTactics]
ExamplesLets.demo_lets_2 [in UseTactics]
ExamplesLets.demo_lets_3 [in UseTactics]
ExamplesLets.demo_lets_4 [in UseTactics]
ExamplesLets.demo_lets_5 [in UseTactics]


F

False_and_P_imp [in HoareAsLogic]
fib_eqn [in Hoare2]
find_parity_correct [in Hoare2]
find_parity_correct' [in Hoare2]
fold_constants_aexp_sound [in Equiv]
fold_constants_bexp_sound [in Equiv]
fold_constants_com_sound [in Equiv]
free_in_context [in RecordSub]
free_in_context [in Sub]
free_in_context [in Norm]


G

GenExample.substitution_preserves_typing [in UseTactics]


H

has_type__wf [in RecordSub]
Himp.hoare_havoc [in Hoare]
Himp.ptwice_cequiv_pcopy [in Equiv]
Himp.pXY_cequiv_pYX [in Equiv]
Himp.p1_may_diverge [in Equiv]
Himp.p1_p2_equiv [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]
hoare_asgn [in Hoare]
hoare_asgn_fwd [in Hoare]
hoare_asgn_fwd_exists [in Hoare]
hoare_asgn_weakest [in Hoare2]
hoare_consequence [in Hoare]
hoare_consequence_post [in Hoare]
hoare_consequence_pre [in Hoare]
hoare_if [in Hoare]
hoare_post_true [in Hoare]
hoare_pre_false [in Hoare]
hoare_proof_complete [in HoareAsLogic]
hoare_proof_sound [in HoareAsLogic]
hoare_seq [in Hoare]
hoare_skip [in Hoare]
hoare_while [in Hoare]
H_Consequence_post [in HoareAsLogic]
H_Consequence_pre [in HoareAsLogic]
H_Post_True_deriv [in HoareAsLogic]
H_Pre_False_deriv [in HoareAsLogic]


I

identity_assignment [in Equiv]
IFB_false [in Equiv]
IFB_true [in Equiv]
IFB_true_simple [in Equiv]
iff_intro_swap [in LibTactics]
iff_trans [in Equiv]
If1.hoare_if1_good [in Hoare]
if_minus_correct [in Hoare2]
if_minus_plus [in Hoare]
if_minus_plus_correct [in Hoare2]
inbP [in PE]
induct_height_max2 [in LibTactics]
inequiv_exercise [in Equiv]
instantiation_domains_match [in Norm]
instantiation_drop [in Norm]
instantiation_env_closed [in Norm]
instantiation_R [in Norm]
IntrovExamples.ceval_deterministic [in UseTactics]
IntrovExamples.ceval_deterministic' [in UseTactics]
IntrovExamples.dist_exists_or [in UseTactics]
IntrovExamples.exists_impl [in UseTactics]
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

lookup_field_in_value [in RecordSub]
Loop.ceval_count_complete [in PE]
Loop.ceval_count_sound [in PE]
Loop.pe_ceval_count_le [in PE]
Loop.pe_compare_nil_lookup [in PE]
Loop.pe_compare_nil_update [in PE]
Loop.pe_com_complete [in PE]
Loop.pe_com_correct [in PE]
Loop.pe_com_sound [in PE]
loop_unrolling [in Equiv]
ltac_database_provide [in LibTactics]
ltac_something_eq [in LibTactics]
ltac_something_hide [in LibTactics]
ltac_something_show [in LibTactics]
l1 [in Hoare2]
l2 [in Hoare2]
l3 [in Hoare2]
l3' [in Hoare2]
l4 [in Hoare2]


M

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


N

NaryExamples.demo_branch [in UseTactics]
NaryExamples.demo_splits [in UseTactics]
NaryExamples.progress [in UseTactics]
nat_canonical [in Types]
negation_study_1 [in UseAuto]
negation_study_2 [in UseAuto]
nf_is_value [in Smallstep]
nf_same_as_value [in Smallstep]
normalization [in Norm]
NormalizePlayground.normalize_ex [in Types]
NormalizePlayground.normalize_ex' [in Types]
normal_forms_unique [in Smallstep]


O

omega_demo_1 [in UseAuto]
omega_demo_2 [in UseAuto]
omega_demo_3 [in UseAuto]
omega_demo_4 [in UseAuto]
order_matters_1 [in UseAuto]
order_matters_2 [in UseAuto]


P

parity_correct [in Hoare2]
parity_dec_correct [in Hoare2]
parity_ge_2 [in Hoare2]
parity_lt_2 [in Hoare2]
pe_add_correct [in PE]
pe_aexp_correct [in PE]
pe_aexp_correct_weak [in PE]
pe_bexp_correct [in PE]
pe_block_correct [in PE]
pe_compare_correct [in PE]
pe_compare_removes [in PE]
pe_compare_update [in PE]
pe_com_complete [in PE]
pe_com_correct [in PE]
pe_com_sound [in PE]
pe_consistent_update [in PE]
pe_disagree_domain [in PE]
pe_domain [in PE]
pe_program_correct [in PE]
pe_removes_correct [in PE]
pe_remove_correct [in PE]
pe_unique_correct [in PE]
pe_update_consistent [in PE]
pe_update_correct [in PE]
pe_update_update_add [in PE]
pe_update_update_remove [in PE]
pow2_le_1 [in Hoare2]
pow2_plus_1 [in Hoare2]
preservation [in Types]
preservation [in Sub]
preservation [in RecordSub]
preservation [in Norm]
PreservationProgressReferences.nth_eq_last' [in UseAuto]
PreservationProgressReferences.preservation [in UseAuto]
PreservationProgressReferences.preservation' [in UseAuto]
PreservationProgressReferences.preservation_ref [in UseAuto]
PreservationProgressReferences.progress [in UseAuto]
PreservationProgressStlc.preservation [in UseAuto]
PreservationProgressStlc.preservation' [in UseAuto]
PreservationProgressStlc.progress [in UseAuto]
PreservationProgressStlc.progress' [in UseAuto]
preservation' [in Types]
ProductExtension.preservation [in Sub]
ProductExtension.progress [in Sub]
progress [in RecordSub]
progress [in Sub]
progress [in Types]


R

rcd_types_match [in RecordSub]
reduce_to_zero_correct' [in Hoare2]
refl_aequiv [in Equiv]
refl_bequiv [in Equiv]
refl_cequiv [in Equiv]
RepeatExercise.ex1_repeat_works [in Hoare]
RingDemo.ring_demo [in UseAuto]
R_halts [in Norm]
R_typable_empty [in Norm]


S

search_depth_0 [in UseAuto]
search_depth_1 [in UseAuto]
search_depth_3 [in UseAuto]
search_depth_4 [in UseAuto]
search_depth_5 [in UseAuto]
Semantics.multistep_eval_ind [in UseAuto]
Semantics.multistep__eval [in UseAuto]
Semantics.multistep__eval' [in UseAuto]
Semantics.multistep__eval'' [in UseAuto]
seq_assoc [in Equiv]
silly1 [in Hoare]
silly2 [in Hoare]
silly2_eassumption [in Hoare]
silly2_fixed [in Hoare]
SimpleArith2.step_deterministic [in Smallstep]
SimpleArith3.step_deterministic_alt [in Smallstep]
SkipExample.ceval_deterministic [in UseTactics]
SkipExample.demo_skipH [in UseTactics]
SkipExample.mult_0_plus [in UseTactics]
skip_left [in Equiv]
skip_right [in Equiv]
slow_assignment_dec_correct [in Hoare2]
solved_by_jauto [in UseAuto]
solving_by_apply [in UseAuto]
solving_by_eapply [in UseAuto]
solving_by_reflexivity [in UseAuto]
solving_conj_goal [in UseAuto]
solving_conj_hyp [in UseAuto]
solving_conj_hyp' [in UseAuto]
solving_conj_hyp_forall [in UseAuto]
solving_conj_more [in UseAuto]
solving_disj_goal [in UseAuto]
solving_disj_hyp [in UseAuto]
solving_exists_goal [in UseAuto]
solving_exists_hyp [in UseAuto]
solving_tauto [in UseAuto]
SortExamples.ceval_deterministic [in UseTactics]
soundness [in Types]
sqrt_correct [in Hoare2]
square_dec'_correct [in Hoare2]
square_dec_correct [in Hoare2]
square_simpler_dec_correct [in Hoare2]
stack_step_deterministic [in Smallstep]
step_deterministic [in Types]
step_deterministic [in Norm]
step_deterministic [in Smallstep]
step_normalizing [in Smallstep]
step_preserves_halting [in Norm]
step_preserves_R [in Norm]
step_preserves_record_tm [in RecordSub]
step_preserves_R' [in Norm]
step__eval [in Smallstep]
STLCChecker.beq_ty_refl [in Typechecking]
STLCChecker.beq_ty__eq [in Typechecking]
STLCChecker.type_checking_complete [in Typechecking]
STLCChecker.type_checking_sound [in Typechecking]
STLCExtendedRecords.context_invariance [in Records]
STLCExtendedRecords.free_in_context [in Records]
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.wf_rcd_lookup [in Records]
STLCExtended.context_invariance [in MoreStlc]
STLCExtended.free_in_context [in MoreStlc]
STLCExtended.preservation [in MoreStlc]
STLCExtended.progress [in MoreStlc]
STLCExtended.substitution_preserves_typing [in MoreStlc]
STLCProp.canonical_forms_bool [in StlcProp]
STLCProp.canonical_forms_fun [in StlcProp]
STLCProp.context_invariance [in StlcProp]
STLCProp.free_in_context [in StlcProp]
STLCProp.preservation [in StlcProp]
STLCProp.progress [in StlcProp]
STLCProp.progress' [in StlcProp]
STLCProp.soundness [in StlcProp]
STLCProp.substitution_preserves_typing [in StlcProp]
STLCProp.typable_empty__closed [in StlcProp]
STLCRef.assign_pres_store_typing [in References]
STLCRef.context_invariance [in References]
STLCRef.extends_app [in References]
STLCRef.extends_lookup [in References]
STLCRef.extends_refl [in References]
STLCRef.free_in_context [in References]
STLCRef.length_extends [in References]
STLCRef.length_replace [in References]
STLCRef.lookup_replace_eq [in References]
STLCRef.lookup_replace_neq [in References]
STLCRef.nth_eq_last [in References]
STLCRef.preservation [in References]
STLCRef.preservation_wrong1 [in References]
STLCRef.preservation_wrong2 [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_weakening [in References]
STLCRef.store_well_typed_app [in References]
STLCRef.substitution_preserves_typing [in References]
STLC.step_example1 [in Stlc]
STLC.step_example1' [in Stlc]
STLC.step_example2 [in Stlc]
STLC.step_example2' [in Stlc]
STLC.step_example3 [in Stlc]
STLC.step_example3' [in Stlc]
STLC.step_example4 [in Stlc]
STLC.step_example4' [in Stlc]
STLC.step_example5 [in Stlc]
STLC.step_example5_with_normalize [in Stlc]
STLC.substi_correct [in Stlc]
strong_progress [in Smallstep]
substitution_preserves_typing [in Norm]
substitution_preserves_typing [in RecordSub]
substitution_preserves_typing [in Sub]
subst_closed [in Norm]
subst_inequiv [in Equiv]
subst_msubst [in Norm]
subst_not_afi [in Norm]
subtract_slowly_dec_correct [in Hoare2]
subtype__wf [in RecordSub]
SubtypingInversion.abs_arrow [in UseAuto]
SubtypingInversion.abs_arrow' [in UseAuto]
SubtypingInversion.substitution_preserves_typing [in UseAuto]
sub_inversion_arrow [in Sub]
sub_inversion_arrow [in RecordSub]
sub_inversion_Bool [in Sub]
swap_correct [in Hoare2]
swap_exercise [in Hoare]
swap_if_branches [in Equiv]
swap_noninterfering_assignments [in Equiv]
swap_subst [in Norm]
sym_aequiv [in Equiv]
sym_bequiv [in Equiv]
sym_cequiv [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 [in Smallstep]
test_multistep_1 [in Smallstep]
test_multistep_1' [in Smallstep]
test_multistep_2 [in Smallstep]
test_multistep_3 [in Smallstep]
test_multistep_4 [in Smallstep]
transitivity_bad_hint_1 [in UseAuto]
transitivity_workaround_1 [in UseAuto]
transitivity_workaround_2 [in UseAuto]
trans_aequiv [in Equiv]
trans_bequiv [in Equiv]
trans_cequiv [in Equiv]
two_loops_correct [in Hoare2]
typable_empty__closed [in Norm]
TypecheckerExtensions.beq_ty_refl [in Typechecking]
TypecheckerExtensions.beq_ty__eq [in Typechecking]
TypecheckerExtensions.type_checking_complete [in Typechecking]
TypecheckerExtensions.type_checking_sound [in Typechecking]
typing_inversion_abs [in Sub]
typing_inversion_abs [in RecordSub]
typing_inversion_app [in RecordSub]
typing_inversion_app [in Sub]
typing_inversion_false [in Sub]
typing_inversion_if [in Sub]
typing_inversion_proj [in RecordSub]
typing_inversion_rcons [in RecordSub]
typing_inversion_true [in Sub]
typing_inversion_unit [in Sub]
typing_inversion_var [in Sub]
typing_inversion_var [in RecordSub]


U

UnfoldsExample.bexp_eval_true [in UseTactics]


V

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


W

wf_rcd_lookup [in RecordSub]
WHILE_false [in Equiv]
WHILE_true [in Equiv]
WHILE_true_nonterm [in Equiv]
working_of_auto_1 [in UseAuto]
working_of_auto_2 [in UseAuto]
wp_is_precondition [in HoareAsLogic]
wp_is_weakest [in HoareAsLogic]


Z

zprop_preserving [in Equiv]



Constructor Index

A

afi_abs [in RecordSub]
afi_abs [in Norm]
afi_abs [in Sub]
afi_app1 [in Sub]
afi_app1 [in RecordSub]
afi_app1 [in Norm]
afi_app2 [in Norm]
afi_app2 [in Sub]
afi_app2 [in RecordSub]
afi_fst [in Norm]
afi_if0 [in Norm]
afi_if1 [in Norm]
afi_if1 [in Sub]
afi_if2 [in Norm]
afi_if2 [in Sub]
afi_if3 [in Sub]
afi_pair1 [in Norm]
afi_pair2 [in Norm]
afi_proj [in RecordSub]
afi_rhead [in RecordSub]
afi_rtail [in RecordSub]
afi_snd [in Norm]
afi_var [in RecordSub]
afi_var [in Sub]
afi_var [in Norm]
Assign [in PE]
AS_Id [in Smallstep]
AS_Minus [in Smallstep]
AS_Minus1 [in Smallstep]
AS_Minus2 [in Smallstep]
AS_Mult [in Smallstep]
AS_Mult1 [in Smallstep]
AS_Mult2 [in Smallstep]
AS_Plus [in Smallstep]
AS_Plus1 [in Smallstep]
AS_Plus2 [in Smallstep]
av_num [in Smallstep]


B

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


C

C [in Smallstep]
CImp.CAss [in Smallstep]
CImp.CIf [in Smallstep]
CImp.CPar [in Smallstep]
CImp.CSeq [in Smallstep]
CImp.CSkip [in Smallstep]
CImp.CS_Ass [in Smallstep]
CImp.CS_AssStep [in Smallstep]
CImp.CS_IfFalse [in Smallstep]
CImp.CS_IfStep [in Smallstep]
CImp.CS_IfTrue [in Smallstep]
CImp.CS_ParDone [in Smallstep]
CImp.CS_Par1 [in Smallstep]
CImp.CS_Par2 [in Smallstep]
CImp.CS_SeqFinish [in Smallstep]
CImp.CS_SeqStep [in Smallstep]
CImp.CS_While [in Smallstep]
CImp.CWhile [in Smallstep]
Combined.C [in Smallstep]
Combined.P [in Smallstep]
Combined.ST_If [in Smallstep]
Combined.ST_IfFalse [in Smallstep]
Combined.ST_IfTrue [in Smallstep]
Combined.ST_PlusConstConst [in Smallstep]
Combined.ST_Plus1 [in Smallstep]
Combined.ST_Plus2 [in Smallstep]
Combined.tfalse [in Smallstep]
Combined.tif [in Smallstep]
Combined.ttrue [in Smallstep]
Combined.v_const [in Smallstep]
Combined.v_false [in Smallstep]
Combined.v_true [in Smallstep]
CS_Ass [in Smallstep]
CS_AssStep [in Smallstep]
CS_IfFalse [in Smallstep]
CS_IfStep [in Smallstep]
CS_IfTrue [in Smallstep]
CS_SeqFinish [in Smallstep]
CS_SeqStep [in Smallstep]
CS_While [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]
ev_SS [in Hoare2]
ev_0 [in Hoare2]
E_Const [in Smallstep]
E_None [in PE]
E_Plus [in Smallstep]
E_Some [in PE]


G

Goto [in PE]


H

Himp.CAsgn [in Hoare]
Himp.CAss [in Equiv]
Himp.CHavoc [in Equiv]
Himp.CHavoc [in Hoare]
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 Equiv]
Himp.CWhile [in Hoare]
Himp.E_Ass [in Equiv]
Himp.E_Ass [in Hoare]
Himp.E_Havoc [in Hoare]
Himp.E_IfFalse [in Equiv]
Himp.E_IfFalse [in Hoare]
Himp.E_IfTrue [in Equiv]
Himp.E_IfTrue [in Hoare]
Himp.E_Seq [in Hoare]
Himp.E_Seq [in Equiv]
Himp.E_Skip [in Hoare]
Himp.E_Skip [in Equiv]
Himp.E_WhileFalse [in Equiv]
Himp.E_WhileFalse [in Hoare]
Himp.E_WhileTrue [in Hoare]
Himp.E_WhileTrue [in Equiv]
H_Asgn [in HoareAsLogic]
H_Consequence [in HoareAsLogic]
H_If [in HoareAsLogic]
H_Seq [in HoareAsLogic]
H_Skip [in HoareAsLogic]
H_While [in HoareAsLogic]


I

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


L

loop [in PE]
Loop.E'Ass [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_AssDynamic [in PE]
Loop.PE_AssStatic [in PE]
Loop.pe_ceval_count_intro [in PE]
Loop.PE_If [in PE]
Loop.PE_IfFalse [in PE]
Loop.PE_IfTrue [in PE]
Loop.PE_Seq [in PE]
Loop.PE_Skip [in PE]
Loop.PE_While [in PE]
Loop.PE_WhileFalse [in PE]
Loop.PE_WhileFixed [in PE]
Loop.PE_WhileFixedEnd [in PE]
Loop.PE_WhileFixedLoop [in PE]
Loop.PE_WhileTrue [in PE]
ltac_database_token [in LibTactics]
ltac_mark [in LibTactics]
ltac_no_arg [in LibTactics]
ltac_wild [in LibTactics]
ltac_wilds [in LibTactics]


M

multi_refl [in Smallstep]
multi_step [in Smallstep]


N

nv_succ [in Types]
nv_zero [in Types]


P

P [in Smallstep]
PE_AssDynamic [in PE]
PE_AssStatic [in PE]
pe_ceval_intro [in PE]
PE_If [in PE]
PE_IfFalse [in PE]
PE_IfTrue [in PE]
pe_peval_intro [in PE]
PE_Seq [in PE]
PE_Skip [in PE]
ProductExtension.tabs [in Sub]
ProductExtension.tapp [in Sub]
ProductExtension.TArrow [in Sub]
ProductExtension.TBase [in Sub]
ProductExtension.TBool [in Sub]
ProductExtension.tfalse [in Sub]
ProductExtension.tfst [in Sub]
ProductExtension.tif [in Sub]
ProductExtension.tpair [in Sub]
ProductExtension.TProd [in Sub]
ProductExtension.tsnd [in Sub]
ProductExtension.TTop [in Sub]
ProductExtension.ttrue [in Sub]
ProductExtension.tunit [in Sub]
ProductExtension.TUnit [in Sub]
ProductExtension.tvar [in Sub]


R

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_Ass [in Hoare]
RepeatExercise.E_IfFalse [in Hoare]
RepeatExercise.E_IfTrue [in Hoare]
RepeatExercise.E_Seq [in Hoare]
RepeatExercise.E_Skip [in Hoare]
RepeatExercise.E_WhileFalse [in Hoare]
RepeatExercise.E_WhileTrue [in Hoare]
rtcons [in RecordSub]
RTcons [in RecordSub]
rtnil [in RecordSub]
RTnil [in RecordSub]


S

SimpleArith1.ST_PlusConstConst [in Smallstep]
SimpleArith1.ST_Plus1 [in Smallstep]
SimpleArith1.ST_Plus2 [in Smallstep]
SS_Load [in Smallstep]
SS_Minus [in Smallstep]
SS_Mult [in Smallstep]
SS_Plus [in Smallstep]
SS_Push [in Smallstep]
STLCArith.tabs [in StlcProp]
STLCArith.tapp [in StlcProp]
STLCArith.TArrow [in StlcProp]
STLCArith.tif0 [in StlcProp]
STLCArith.tmult [in StlcProp]
STLCArith.tnat [in StlcProp]
STLCArith.TNat [in StlcProp]
STLCArith.tpred [in StlcProp]
STLCArith.tsucc [in StlcProp]
STLCArith.tvar [in StlcProp]
STLCExtendedRecords.afi_abs [in Records]
STLCExtendedRecords.afi_app1 [in Records]
STLCExtendedRecords.afi_app2 [in Records]
STLCExtendedRecords.afi_proj [in Records]
STLCExtendedRecords.afi_rhead [in Records]
STLCExtendedRecords.afi_rtail [in Records]
STLCExtendedRecords.afi_var [in Records]
STLCExtendedRecords.FirstTry.TArrow [in Records]
STLCExtendedRecords.FirstTry.TBase [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_AppAbs [in Records]
STLCExtendedRecords.ST_App1 [in Records]
STLCExtendedRecords.ST_App2 [in Records]
STLCExtendedRecords.ST_ProjRcd [in Records]
STLCExtendedRecords.ST_Proj1 [in Records]
STLCExtendedRecords.ST_Rcd_Head [in Records]
STLCExtendedRecords.ST_Rcd_Tail [in Records]
STLCExtendedRecords.tabs [in Records]
STLCExtendedRecords.tapp [in Records]
STLCExtendedRecords.TArrow [in Records]
STLCExtendedRecords.TBase [in Records]
STLCExtendedRecords.tproj [in Records]
STLCExtendedRecords.TRCons [in Records]
STLCExtendedRecords.trcons [in Records]
STLCExtendedRecords.TRNil [in Records]
STLCExtendedRecords.trnil [in Records]
STLCExtendedRecords.tvar [in Records]
STLCExtendedRecords.T_Abs [in Records]
STLCExtendedRecords.T_App [in Records]
STLCExtendedRecords.T_Proj [in Records]
STLCExtendedRecords.T_RCons [in Records]
STLCExtendedRecords.T_RNil [in Records]
STLCExtendedRecords.T_Var [in Records]
STLCExtendedRecords.v_abs [in Records]
STLCExtendedRecords.v_rcons [in Records]
STLCExtendedRecords.v_rnil [in Records]
STLCExtendedRecords.wfTArrow [in Records]
STLCExtendedRecords.wfTBase [in Records]
STLCExtendedRecords.wfTRCons [in Records]
STLCExtendedRecords.wfTRNil [in Records]
STLCExtended.afi_abs [in MoreStlc]
STLCExtended.afi_app1 [in MoreStlc]
STLCExtended.afi_app2 [in MoreStlc]
STLCExtended.afi_case0 [in MoreStlc]
STLCExtended.afi_case1 [in MoreStlc]
STLCExtended.afi_case2 [in MoreStlc]
STLCExtended.afi_cons1 [in MoreStlc]
STLCExtended.afi_cons2 [in MoreStlc]
STLCExtended.afi_if01 [in MoreStlc]
STLCExtended.afi_if02 [in MoreStlc]
STLCExtended.afi_if03 [in MoreStlc]
STLCExtended.afi_inl [in MoreStlc]
STLCExtended.afi_inr [in MoreStlc]
STLCExtended.afi_lcase1 [in MoreStlc]
STLCExtended.afi_lcase2 [in MoreStlc]
STLCExtended.afi_lcase3 [in MoreStlc]
STLCExtended.afi_mult1 [in MoreStlc]
STLCExtended.afi_mult2 [in MoreStlc]
STLCExtended.afi_pred [in MoreStlc]
STLCExtended.afi_succ [in MoreStlc]
STLCExtended.afi_var [in MoreStlc]
STLCExtended.ST_AppAbs [in MoreStlc]
STLCExtended.ST_App1 [in MoreStlc]
STLCExtended.ST_App2 [in MoreStlc]
STLCExtended.ST_Case [in MoreStlc]
STLCExtended.ST_CaseInl [in MoreStlc]
STLCExtended.ST_CaseInr [in MoreStlc]
STLCExtended.ST_Cons1 [in MoreStlc]
STLCExtended.ST_Cons2 [in MoreStlc]
STLCExtended.ST_If0Nonzero [in MoreStlc]
STLCExtended.ST_If0Zero [in MoreStlc]
STLCExtended.ST_If01 [in MoreStlc]
STLCExtended.ST_Inl [in MoreStlc]
STLCExtended.ST_Inr [in MoreStlc]
STLCExtended.ST_LcaseCons [in MoreStlc]
STLCExtended.ST_LcaseNil [in MoreStlc]
STLCExtended.ST_Lcase1 [in MoreStlc]
STLCExtended.ST_MultNats [in MoreStlc]
STLCExtended.ST_Mult1 [in MoreStlc]
STLCExtended.ST_Mult2 [in MoreStlc]
STLCExtended.ST_Pred [in MoreStlc]
STLCExtended.ST_PredNat [in MoreStlc]
STLCExtended.ST_SuccNat [in MoreStlc]
STLCExtended.ST_Succ1 [in MoreStlc]
STLCExtended.tabs [in MoreStlc]
STLCExtended.tapp [in MoreStlc]
STLCExtended.TArrow [in MoreStlc]
STLCExtended.tcase [in MoreStlc]
STLCExtended.tcons [in MoreStlc]
STLCExtended.tfix [in MoreStlc]
STLCExtended.tfst [in MoreStlc]
STLCExtended.tif0 [in MoreStlc]
STLCExtended.tinl [in MoreStlc]
STLCExtended.tinr [in MoreStlc]
STLCExtended.tlcase [in MoreStlc]
STLCExtended.tlet [in MoreStlc]
STLCExtended.TList [in MoreStlc]
STLCExtended.tmult [in MoreStlc]
STLCExtended.TNat [in MoreStlc]
STLCExtended.tnat [in MoreStlc]
STLCExtended.tnil [in MoreStlc]
STLCExtended.tpair [in MoreStlc]
STLCExtended.tpred [in MoreStlc]
STLCExtended.TProd [in MoreStlc]
STLCExtended.tsnd [in MoreStlc]
STLCExtended.tsucc [in MoreStlc]
STLCExtended.TSum [in MoreStlc]
STLCExtended.tunit [in MoreStlc]
STLCExtended.TUnit [in MoreStlc]
STLCExtended.tvar [in MoreStlc]
STLCExtended.T_Abs [in MoreStlc]
STLCExtended.T_App [in MoreStlc]
STLCExtended.T_Case [in MoreStlc]
STLCExtended.T_Cons [in MoreStlc]
STLCExtended.T_If0 [in MoreStlc]
STLCExtended.T_Inl [in MoreStlc]
STLCExtended.T_Inr [in MoreStlc]
STLCExtended.T_Lcase [in MoreStlc]
STLCExtended.T_Mult [in MoreStlc]
STLCExtended.T_Nat [in MoreStlc]
STLCExtended.T_Nil [in MoreStlc]
STLCExtended.T_Pred [in MoreStlc]
STLCExtended.T_Succ [in MoreStlc]
STLCExtended.T_Unit [in MoreStlc]
STLCExtended.T_Var [in MoreStlc]
STLCExtended.v_abs [in MoreStlc]
STLCExtended.v_inl [in MoreStlc]
STLCExtended.v_inr [in MoreStlc]
STLCExtended.v_lcons [in MoreStlc]
STLCExtended.v_lnil [in MoreStlc]
STLCExtended.v_nat [in MoreStlc]
STLCExtended.v_pair [in MoreStlc]
STLCExtended.v_unit [in MoreStlc]
STLCProp.afi_abs [in StlcProp]
STLCProp.afi_app1 [in StlcProp]
STLCProp.afi_app2 [in StlcProp]
STLCProp.afi_if1 [in StlcProp]
STLCProp.afi_if2 [in StlcProp]
STLCProp.afi_if3 [in StlcProp]
STLCProp.afi_var [in StlcProp]
STLCRef.afi_abs [in References]
STLCRef.afi_app1 [in References]
STLCRef.afi_app2 [in References]
STLCRef.afi_assign1 [in References]
STLCRef.afi_assign2 [in References]
STLCRef.afi_deref [in References]
STLCRef.afi_if0_1 [in References]
STLCRef.afi_if0_2 [in References]
STLCRef.afi_if0_3 [in References]
STLCRef.afi_mult1 [in References]
STLCRef.afi_mult2 [in References]
STLCRef.afi_pred [in References]
STLCRef.afi_ref [in References]
STLCRef.afi_succ [in References]
STLCRef.afi_var [in References]
STLCRef.extends_cons [in References]
STLCRef.extends_nil [in References]
STLCRef.RefsAndNontermination.sc_one [in References]
STLCRef.RefsAndNontermination.sc_step [in References]
STLCRef.ST_AppAbs [in References]
STLCRef.ST_App1 [in References]
STLCRef.ST_App2 [in References]
STLCRef.ST_Assign [in References]
STLCRef.ST_Assign1 [in References]
STLCRef.ST_Assign2 [in References]
STLCRef.ST_Deref [in References]
STLCRef.ST_DerefLoc [in References]
STLCRef.ST_If0 [in References]
STLCRef.ST_If0_Nonzero [in References]
STLCRef.ST_If0_Zero [in References]
STLCRef.ST_MultNats [in References]
STLCRef.ST_Mult1 [in References]
STLCRef.ST_Mult2 [in References]
STLCRef.ST_Pred [in References]
STLCRef.ST_PredNat [in References]
STLCRef.ST_Ref [in References]
STLCRef.ST_RefValue [in References]
STLCRef.ST_Succ [in References]
STLCRef.ST_SuccNat [in References]
STLCRef.tabs [in References]
STLCRef.tapp [in References]
STLCRef.TArrow [in References]
STLCRef.tassign [in References]
STLCRef.tderef [in References]
STLCRef.tif0 [in References]
STLCRef.tloc [in References]
STLCRef.tmult [in References]
STLCRef.tnat [in References]
STLCRef.TNat [in References]
STLCRef.tpred [in References]
STLCRef.TRef [in References]
STLCRef.tref [in References]
STLCRef.tsucc [in References]
STLCRef.tunit [in References]
STLCRef.TUnit [in References]
STLCRef.tvar [in References]
STLCRef.T_Abs [in References]
STLCRef.T_App [in References]
STLCRef.T_Assign [in References]
STLCRef.T_Deref [in References]
STLCRef.T_If0 [in References]
STLCRef.T_Loc [in References]
STLCRef.T_Mult [in References]
STLCRef.T_Nat [in References]
STLCRef.T_Pred [in References]
STLCRef.T_Ref [in References]
STLCRef.T_Succ [in References]
STLCRef.T_Unit [in References]
STLCRef.T_Var [in References]
STLCRef.v_abs [in References]
STLCRef.v_loc [in References]
STLCRef.v_nat [in References]
STLCRef.v_unit [in References]
STLC.ST_AppAbs [in Stlc]
STLC.ST_App1 [in Stlc]
STLC.ST_App2 [in Stlc]
STLC.ST_If [in Stlc]
STLC.ST_IfFalse [in Stlc]
STLC.ST_IfTrue [in Stlc]
STLC.s_var1 [in Stlc]
STLC.tabs [in Stlc]
STLC.tapp [in Stlc]
STLC.TArrow [in Stlc]
STLC.TBool [in Stlc]
STLC.tfalse [in Stlc]
STLC.tif [in Stlc]
STLC.ttrue [in Stlc]
STLC.tvar [in Stlc]
STLC.T_Abs [in Stlc]
STLC.T_App [in Stlc]
STLC.T_False [in Stlc]
STLC.T_If [in Stlc]
STLC.T_True [in Stlc]
STLC.T_Var [in Stlc]
STLC.v_abs [in Stlc]
STLC.v_false [in Stlc]
STLC.v_true [in Stlc]
ST_AppAbs [in Norm]
ST_AppAbs [in RecordSub]
ST_AppAbs [in Sub]
ST_App1 [in Norm]
ST_App1 [in Sub]
ST_App1 [in RecordSub]
ST_App2 [in Sub]
ST_App2 [in RecordSub]
ST_App2 [in Norm]
ST_Fst [in Norm]
ST_FstPair [in Norm]
ST_If [in Types]
ST_If [in Norm]
ST_If [in Sub]
ST_IfFalse [in Norm]
ST_IfFalse [in Types]
ST_IfFalse [in Sub]
ST_IfTrue [in Types]
ST_IfTrue [in Sub]
ST_IfTrue [in Norm]
ST_Iszero [in Types]
ST_IszeroSucc [in Types]
ST_IszeroZero [in Types]
ST_Pair1 [in Norm]
ST_Pair2 [in Norm]
ST_PlusConstConst [in Smallstep]
ST_Plus1 [in Smallstep]
ST_Plus2 [in Smallstep]
ST_Pred [in Types]
ST_PredSucc [in Types]
ST_PredZero [in Types]
ST_ProjRcd [in RecordSub]
ST_Proj1 [in RecordSub]
ST_Rcd_Head [in RecordSub]
ST_Rcd_Tail [in RecordSub]
ST_Snd [in Norm]
ST_SndPair [in Norm]
ST_Succ [in Types]
S_Arrow [in RecordSub]
S_Arrow [in Sub]
S_RcdDepth [in RecordSub]
S_RcdPerm [in RecordSub]
S_RcdWidth [in RecordSub]
S_Refl [in RecordSub]
S_Refl [in Sub]
S_Top [in Sub]
S_Top [in RecordSub]
S_Trans [in RecordSub]
S_Trans [in Sub]


T

tabs [in Sub]
tabs [in RecordSub]
tabs [in Norm]
tapp [in RecordSub]
tapp [in Norm]
tapp [in Sub]
TArrow [in Norm]
TArrow [in Sub]
TArrow [in RecordSub]
TBase [in Sub]
TBase [in RecordSub]
TBool [in Types]
TBool [in Norm]
TBool [in Sub]
Temp1.ST_PlusConstConst [in Smallstep]
Temp1.ST_Plus1 [in Smallstep]
Temp1.ST_Plus2 [in Smallstep]
Temp1.v_const [in Smallstep]
Temp1.v_funny [in Smallstep]
Temp2.ST_Funny [in Smallstep]
Temp2.ST_PlusConstConst [in Smallstep]
Temp2.ST_Plus1 [in Smallstep]
Temp2.ST_Plus2 [in Smallstep]
Temp2.v_const [in Smallstep]
Temp3.ST_PlusConstConst [in Smallstep]
Temp3.ST_Plus1 [in Smallstep]
Temp3.v_const [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.tfalse [in Smallstep]
Temp4.tif [in Smallstep]
Temp4.ttrue [in Smallstep]
Temp4.v_false [in Smallstep]
Temp4.v_true [in Smallstep]
tfalse [in Sub]
tfalse [in Types]
tfalse [in Norm]
tfst [in Norm]
tif [in Sub]
tif [in Norm]
tif [in Types]
tiszero [in Types]
TNat [in Types]
tpair [in Norm]
tpred [in Types]
TProd [in Norm]
tproj [in RecordSub]
trcons [in RecordSub]
TRCons [in RecordSub]
TRNil [in RecordSub]
trnil [in RecordSub]
tsnd [in Norm]
tsucc [in Types]
TTop [in Sub]
TTop [in RecordSub]
ttrue [in Sub]
ttrue [in Types]
ttrue [in Norm]
tunit [in Sub]
TUnit [in Sub]
tvar [in Sub]
tvar [in Norm]
tvar [in RecordSub]
tzero [in Types]
T_Abs [in Sub]
T_Abs [in RecordSub]
T_Abs [in Norm]
T_App [in Sub]
T_App [in Norm]
T_App [in RecordSub]
T_False [in Sub]
T_False [in Norm]
T_False [in Types]
T_Fst [in Norm]
T_If [in Sub]
T_If [in Norm]
T_If [in Types]
T_Iszero [in Types]
T_Pair [in Norm]
T_Pred [in Types]
T_Proj [in RecordSub]
T_RCons [in RecordSub]
T_RNil [in RecordSub]
T_Snd [in Norm]
T_Sub [in RecordSub]
T_Sub [in Sub]
T_Succ [in Types]
T_True [in Norm]
T_True [in Types]
T_True [in Sub]
T_Unit [in Sub]
T_Var [in Sub]
T_Var [in Norm]
T_Var [in RecordSub]
T_Zero [in Types]


V

VNUId [in Equiv]
VNUMinus [in Equiv]
VNUMult [in Equiv]
VNUNum [in Equiv]
VNUPlus [in Equiv]
v_abs [in RecordSub]
v_abs [in Norm]
v_abs [in Sub]
V_cons [in Norm]
v_const [in Smallstep]
v_false [in Sub]
v_false [in Norm]
V_nil [in Norm]
v_pair [in Norm]
v_rcons [in RecordSub]
v_rnil [in RecordSub]
v_true [in Norm]
v_true [in Sub]
v_unit [in Sub]


W

wfTArrow [in RecordSub]
wfTBase [in RecordSub]
wfTRCons [in RecordSub]
wfTRNil [in RecordSub]
wfTTop [in RecordSub]



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_refl [in UseAuto]
subtype_trans [in UseAuto]


T

typ [in UseAuto]



Inductive Index

A

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


B

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


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]


E

ev [in Hoare2]
eval [in Smallstep]


H

has_type [in RecordSub]
has_type [in Types]
has_type [in Norm]
has_type [in Sub]
Himp.ceval [in Equiv]
Himp.ceval [in Hoare]
Himp.com [in Equiv]
Himp.com [in Hoare]
hoare_proof [in HoareAsLogic]


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_database_token [in LibTactics]
ltac_Mark [in LibTactics]
ltac_No_arg [in LibTactics]
ltac_Wild [in LibTactics]
ltac_Wilds [in LibTactics]


M

multi [in Smallstep]


N

nvalue [in Types]


P

parity_label [in PE]
peval [in PE]
pe_ceval [in PE]
pe_com [in PE]
pe_peval [in PE]
ProductExtension.tm [in Sub]
ProductExtension.ty [in Sub]


R

record_tm [in RecordSub]
record_ty [in RecordSub]
RepeatExercise.ceval [in Hoare]
RepeatExercise.com [in Hoare]


S

SimpleArith1.step [in Smallstep]
stack_step [in Smallstep]
step [in Types]
step [in RecordSub]
step [in Smallstep]
step [in Norm]
step [in Sub]
STLCArith.tm [in StlcProp]
STLCArith.ty [in StlcProp]
STLCExtendedRecords.appears_free_in [in Records]
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.appears_free_in [in MoreStlc]
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.appears_free_in [in References]
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]
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]
subtype [in RecordSub]
subtype [in Sub]


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 Types]
tm [in Sub]
tm [in Norm]
tm [in RecordSub]
tm [in Smallstep]
ty [in RecordSub]
ty [in Norm]
ty [in Sub]
ty [in Types]


V

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


W

well_formed_ty [in RecordSub]



Section Index

D

DemoAbsurd1 [in UseAuto]


E

equatesLemma [in LibTactics]


H

HintsTransitivity [in UseAuto]



Abbreviation Index

E

Examples.A [in Sub]
Examples.A [in RecordSub]
Examples.B [in RecordSub]
Examples.B [in Sub]
Examples.C [in Sub]
Examples.C [in RecordSub]
Examples.Float [in Sub]
Examples.i [in RecordSub]
Examples.Integer [in Sub]
Examples.j [in RecordSub]
Examples.k [in RecordSub]
Examples.String [in Sub]
Examples.x [in Sub]
Examples.x [in RecordSub]
Examples.y [in Sub]
Examples.y [in RecordSub]
Examples.z [in RecordSub]
Examples.z [in Sub]


M

multistep [in Norm]


S

step_normal_form [in Norm]
step_normal_form [in Types]
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]
STLC.idB [in Stlc]
STLC.idBB [in Stlc]
STLC.idBBBB [in Stlc]
STLC.k [in Stlc]
STLC.multistep [in Stlc]
STLC.notB [in Stlc]



Definition Index

A

aequiv [in Equiv]
Assertion [in Hoare]
assert_implies [in Hoare]
assign [in PE]
assigned [in PE]
assn_sub [in Hoare]
assn_sub_example [in Hoare]
assn_sub_example2 [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 [in Smallstep]
CImp.par_loop_example_0 [in Smallstep]
CImp.par_loop_example_2 [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 RecordSub]
context [in Sub]
context [in Norm]
ctrans_sound [in Equiv]
c3 [in Equiv]
c4 [in Equiv]


D

dec_correct [in Hoare2]
dec_while [in Hoare2]
deterministic [in Smallstep]
dfib [in Hoare2]
div_mod_dec [in Hoare2]
dpow2_down [in Hoare2]
drop [in Norm]


E

empty_pe_state [in PE]
env [in Norm]
equiv_classes [in Equiv]
eq' [in LibTactics]
evalF [in Smallstep]
Examples.Employee [in Sub]
Examples.Person [in Sub]
Examples.Student [in Sub]
Examples.subtyping_example_0 [in Sub]
Examples.subtyping_example_0 [in RecordSub]
Examples.subtyping_example_1 [in RecordSub]
Examples.subtyping_example_1 [in Sub]
Examples.subtyping_example_2 [in RecordSub]
Examples.subtyping_example_2 [in Sub]
Examples.subtyping_example_3 [in RecordSub]
Examples.subtyping_example_4 [in RecordSub]
Examples.sub_employee_person [in Sub]
Examples.sub_student_person [in Sub]
Examples.TRcd_j [in RecordSub]
Examples.TRcd_kj [in RecordSub]
Examples2.trcd_kj [in RecordSub]
Examples2.typing_example_0 [in RecordSub]
Examples2.typing_example_1 [in RecordSub]
Examples2.typing_example_2 [in RecordSub]
ExAssertions.as1 [in Hoare]
ExAssertions.as2 [in Hoare]
ExAssertions.as3 [in Hoare]
ExAssertions.as4 [in Hoare]
ExAssertions.as5 [in Hoare]
ExAssertions.as6 [in Hoare]
extract [in Hoare2]
extract_dec [in Hoare2]


F

fib [in Hoare2]
find_parity [in Hoare2]
find_parity_dec [in Hoare2]
find_parity_dec' [in Hoare2]
fold_aexp_ex1 [in Equiv]
fold_aexp_ex2 [in Equiv]
fold_bexp_ex1 [in Equiv]
fold_bexp_ex2 [in Equiv]
fold_com_ex1 [in Equiv]
fold_constants_aexp [in Equiv]
fold_constants_bexp [in Equiv]
fold_constants_com [in Equiv]


H

halts [in Norm]
has_type_not [in Types]
has_type_1 [in Types]
Himp.cequiv [in Equiv]
Himp.havoc_example1 [in Equiv]
Himp.havoc_example2 [in Equiv]
Himp.havoc_pre [in Hoare]
Himp.hoare_triple [in Hoare]
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]
hoare_asgn_example1 [in Hoare]
hoare_asgn_example1' [in Hoare]
hoare_asgn_example3 [in Hoare]
hoare_asgn_example4 [in Hoare]
hoare_triple [in Hoare]


I

If1.hoare_triple [in Hoare]
if_example [in Hoare]
if_minus_dec [in Hoare2]
if_minus_plus_com [in Hoare2]
if_minus_plus_dec [in Hoare2]
inb [in PE]
InvertsExamples.typing_nonexample_1 [in UseTactics]
is_wp [in Hoare2]


K

keval [in PE]
keval_example [in PE]


L

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


M

msubst [in Norm]
multistep [in Types]
mupdate [in Norm]
myFact [in UseAuto]


N

NormalizePlayground.step_example1 [in Types]
NormalizePlayground.step_example1' [in Types]
NormalizePlayground.step_example1'' [in Types]
NormalizePlayground.step_example1''' [in Types]
normalizing [in Smallstep]
normal_form [in Smallstep]
normal_form_of [in Smallstep]


P

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


R

R [in Norm]
real_fact [in Hoare2]
reduce_to_zero' [in Hoare2]
relation [in Smallstep]
RepeatExercise.ex1_repeat [in Hoare]
RepeatExercise.hoare_triple [in Hoare]
rm [in LibTactics]


S

sample_proof [in HoareAsLogic]
SimpleArith1.test_step_1 [in Smallstep]
SimpleArith1.test_step_2 [in Smallstep]
SkipExample.astep_example1 [in UseTactics]
slow_assignment_dec [in Hoare2]
some_term_is_stuck [in Types]
sqrt_dec [in Hoare2]
square_dec [in Hoare2]
square_dec' [in Hoare2]
square_simpler_dec [in Hoare2]
stack [in Smallstep]
stack_multistep [in Smallstep]
step_normal_form [in Smallstep]
STLCChecker.beq_ty [in Typechecking]
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 [in Records]
STLCExtendedRecords.typing_nonexample_2 [in Records]
STLCExtendedRecords.weird_type [in Records]
STLCExtended.context [in MoreStlc]
STLCExtended.Examples.FixTest1.fact [in MoreStlc]
STLCExtended.Examples.FixTest2.map [in MoreStlc]
STLCExtended.Examples.FixTest3.equal [in MoreStlc]
STLCExtended.Examples.FixTest4.eotest [in MoreStlc]
STLCExtended.Examples.LetTest.test [in MoreStlc]
STLCExtended.Examples.ListTest.test [in MoreStlc]
STLCExtended.Examples.Numtest.test [in MoreStlc]
STLCExtended.Examples.Prodtest.test [in MoreStlc]
STLCExtended.Examples.Sumtest1.test [in MoreStlc]
STLCExtended.Examples.Sumtest2.test [in MoreStlc]
STLCExtended.subst [in MoreStlc]
STLCProp.closed [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.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_lookup [in References]
STLCRef.store_Tlookup [in References]
STLCRef.store_ty [in References]
STLCRef.store_well_typed [in References]
STLCRef.subst [in References]
STLCRef.tseq [in References]
STLC.context [in Stlc]
STLC.subst [in Stlc]
STLC.typing_example_1 [in Stlc]
STLC.typing_example_1' [in Stlc]
STLC.typing_example_2 [in Stlc]
STLC.typing_example_2_full [in Stlc]
STLC.typing_example_3 [in Stlc]
STLC.typing_nonexample_1 [in Stlc]
STLC.typing_nonexample_3 [in Stlc]
STLC.x [in Stlc]
STLC.y [in Stlc]
STLC.z [in Stlc]
stuck [in Types]
subst [in Norm]
subst [in Sub]
subst [in RecordSub]
subst_aexp [in Equiv]
subst_aexp_ex [in Equiv]
subst_equiv_property [in Equiv]
subtract_slowly_dec [in Hoare2]
succ_hastype_nat__hastype_nat [in Types]
swap [in Hoare2]
swap_dec [in Hoare2]
swap_program [in Hoare]


T

T [in Hoare2]
tass [in Norm]
Temp4.bool_step_prop1 [in Smallstep]
Temp4.bool_step_prop2 [in Smallstep]
Temp4.bool_step_prop3 [in Smallstep]
Temp4.Temp5.bool_step_prop4 [in Smallstep]
Temp4.Temp5.bool_step_prop4_holds [in Smallstep]
test_pe_aexp1 [in PE]
test_pe_bexp1 [in PE]
test_pe_bexp2 [in PE]
test_pe_update [in PE]
text_pe_aexp2 [in PE]
Tlookup [in RecordSub]
tlookup [in RecordSub]
two_loops_dec [in Hoare2]
TypecheckerExtensions.beq_ty [in Typechecking]
TypecheckerExtensions.type_check [in Typechecking]


V

value [in Types]
verification_conditions [in Hoare2]
verification_conditions_dec [in Hoare2]


W

while_example [in Hoare]
wp [in HoareAsLogic]


Z

zprop [in Equiv]



Global Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z : _ (1797 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z : _ (121 entries)
Module Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (64 entries)
Variable Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (7 entries)
Library Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (22 entries)
Lemma Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (446 entries)
Constructor Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (664 entries)
Axiom Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (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 V W X Y Z _ (119 entries)
Section Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (3 entries)
Abbreviation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (55 entries)
Definition Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ (284 entries)