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 _ (1859 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 _ (474 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 _ (607 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 _ (151 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 _ (50 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 _ (523 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 _ (34 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 _ (20 entries)

Global Index

A

abs_arrow [lemma, in Subtyping]
abs_arrow [lemma, in Records]
ACons [constructor, in MoreHoare]
add_slowly [definition, in Hoare]
admit [definition, in SfLib]
admit [definition, in Basics]
aequiv [definition, in Equiv]
aequiv_example [lemma, in Equiv]
aeval [definition, in MoreHoare]
aeval [definition, in Imp]
aexp [inductive, in MoreHoare]
AExp [module, in Imp]
aexp [inductive, in Imp]
AExp.aeval [definition, in Imp]
AExp.aexp [inductive, in Imp]
AExp.AMinus [constructor, in Imp]
AExp.AMult [constructor, in Imp]
AExp.ANum [constructor, in Imp]
AExp.APlus [constructor, in Imp]
AExp.BAnd [constructor, in Imp]
AExp.BEq [constructor, in Imp]
AExp.beval [definition, in Imp]
AExp.bexp [inductive, in Imp]
AExp.BFalse [constructor, in Imp]
AExp.BLe [constructor, in Imp]
AExp.BNot [constructor, in Imp]
AExp.BTrue [constructor, in Imp]
AExp.foo [lemma, in Imp]
AExp.foo' [lemma, in Imp]
AExp.optimize_0plus [definition, in Imp]
AExp.optimize_0plus_sound [lemma, in Imp]
AExp.optimize_0plus_sound' [lemma, in Imp]
AExp.optimize_0plus_sound'' [lemma, in Imp]
AExp.optimize_0plus_sound''' [lemma, in Imp]
AExp.test_aeval1 [definition, in Imp]
AExp.test_optimize_0plus [definition, in Imp]
aexp1 [definition, in Imp]
afi_abs [constructor, in Subtyping]
afi_abs [constructor, in Records]
afi_app1 [constructor, in Records]
afi_app1 [constructor, in Subtyping]
afi_app2 [constructor, in Records]
afi_app2 [constructor, in Subtyping]
afi_proj [constructor, in Records]
afi_rhead [constructor, in Records]
afi_rtail [constructor, in Records]
afi_var [constructor, in Subtyping]
afi_var [constructor, in Records]
AHead [constructor, in MoreHoare]
AId [constructor, in MoreHoare]
AId [constructor, in Imp]
ai_here [constructor, in MoreHoare]
ai_here [constructor, in Logic]
ai_later [constructor, in MoreHoare]
ai_later [constructor, in Logic]
all [inductive, in Logic]
all3_spec [lemma, in Basics]
alpha [constructor, in ImpParser]
AMinus [constructor, in Imp]
AMinus [constructor, in MoreHoare]
AMult [constructor, in MoreHoare]
AMult [constructor, in Imp]
and [inductive, in Logic]
andb [definition, in Basics]
andb3 [definition, in Basics]
andb_false [lemma, in Logic]
andb_false_r [lemma, in Basics]
andb_true [lemma, in SfLib]
andb_true_elim1 [lemma, in SfLib]
andb_true_elim1 [lemma, in Basics]
andb_true_elim2 [lemma, in Basics]
andb_true_elim2 [lemma, in SfLib]
andb_true__and [lemma, in Logic]
and_assoc [lemma, in Logic]
and_commut [lemma, in Logic]
and_example [lemma, in Logic]
and_example' [lemma, in Logic]
and__andb_true [lemma, in Logic]
ANil [constructor, in MoreHoare]
antisymmetric [definition, in Rel]
ANum [constructor, in MoreHoare]
ANum [constructor, in Imp]
APlus [constructor, in MoreHoare]
APlus [constructor, in Imp]
app [definition, in Poly]
appears_free_in [inductive, in Records]
appears_free_in [inductive, in Subtyping]
appears_in [inductive, in MoreHoare]
appears_in [inductive, in Logic]
appears_in_snoc1 [lemma, in MoreHoare]
appears_in_snoc2 [lemma, in MoreHoare]
appears_in_snoc3 [lemma, in MoreHoare]
append_nil [lemma, in MoreHoare]
append_singleton_equation [lemma, in MoreHoare]
app_length_cons [lemma, in Ind]
app_length_twice [lemma, in Ind]
aslist [definition, in MoreHoare]
asnat [definition, in MoreHoare]
Assertion [definition, in MoreHoare]
Assertion [definition, in Hoare]
assert_implies [definition, in MoreHoare]
assn_sub [definition, in MoreHoare]
assn_sub [definition, in Hoare]
assn_sub_ex [definition, in MoreHoare]
assn_sub_example [definition, in Hoare]
assn_sub_example' [definition, in Hoare]
astep [inductive, in Smallstep]
astep_example1 [definition, in Stlc]
astep_example1' [definition, in Stlc]
astep_example1'' [definition, in Stlc]
astep_example1''' [definition, in Stlc]
astep_many [definition, in Stlc]
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]
ATail [constructor, in MoreHoare]
atrans_sound [definition, in Equiv]
auto_example_1 [lemma, in Stlc]
auto_example_2 [lemma, in Stlc]
auto_example_3 [lemma, in Stlc]
aval [inductive, in Smallstep]
av_num [constructor, in Smallstep]


B

BAnd [constructor, in Imp]
BAnd [constructor, in MoreHoare]
Basics [library]
bassn [definition, in MoreHoare]
bassn [definition, in Hoare]
BEq [constructor, in MoreHoare]
BEq [constructor, in Imp]
bequiv [definition, in Equiv]
bequiv_example [lemma, in Equiv]
beq_false_not_eq [lemma, in Logic]
beq_id [definition, in MoreHoare]
beq_id [definition, in Imp]
beq_id_eq [lemma, in MoreHoare]
beq_id_eq [lemma, in Imp]
beq_id_false_not_eq [lemma, in MoreHoare]
beq_id_false_not_eq [lemma, in Imp]
beq_id_refl [lemma, in Imp]
beq_id_refl [lemma, in MoreHoare]
beq_nat [definition, in Basics]
beq_nat_eq [lemma, in Poly]
beq_nat_eq' [lemma, in Poly]
beq_nat_refl [lemma, in Basics]
beq_nat_refl [lemma, in MoreHoare]
beq_nat_sym [definition, in Lists]
beq_nat_trans [lemma, in Poly]
beq_nat_0_l [lemma, in Poly]
beq_nat_0_r [lemma, in Poly]
beq_true__eq [lemma, in MoreHoare]
between [definition, in Ind]
beval [definition, in Imp]
beval [definition, in MoreHoare]
bexp [inductive, in Imp]
bexp [inductive, in MoreHoare]
bexp1 [definition, in Imp]
bexp_eval_false [lemma, in Hoare]
bexp_eval_false [lemma, in MoreHoare]
bexp_eval_true [lemma, in MoreHoare]
bexp_eval_true [lemma, in Hoare]
BFalse [constructor, in MoreHoare]
BFalse [constructor, in Imp]
bind_option [definition, in Imp]
BIsCons [constructor, in MoreHoare]
BLe [constructor, in MoreHoare]
BLe [constructor, in Imp]
ble_nat [definition, in SfLib]
ble_nat [definition, in Basics]
ble_nat_false [lemma, in Logic]
ble_nat_false [lemma, in SfLib]
ble_nat_n_Sn_false [lemma, in Logic]
ble_nat_refl [lemma, in Basics]
ble_nat_true [lemma, in Logic]
ble_nat_true [lemma, in SfLib]
blt_nat [definition, in Basics]
blue [constructor, in Ind]
BNot [constructor, in MoreHoare]
BNot [constructor, in Imp]
bool [inductive, in Basics]
boollist [inductive, in Poly]
bool_cons [constructor, in Poly]
bool_nil [constructor, in Poly]
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]
BTrue [constructor, in Imp]
BTrue [constructor, in MoreHoare]
build_symtable [definition, in ImpParser]
bvalue [inductive, in Stlc]
bv_false [constructor, in Stlc]
bv_true [constructor, in Stlc]


C

canonical_forms_of_arrow_types [lemma, in Subtyping]
canonical_forms_of_arrow_types [lemma, in Records]
CAss [constructor, in MoreHoare]
CAss [constructor, in Imp]
CAss_congruence [lemma, in Equiv]
cequiv [definition, in Equiv]
cequiv_state [lemma, in Equiv]
ceval [inductive, in MoreHoare]
ceval [inductive, in Imp]
CEvalFirstTry [module, in Imp]
CEvalFirstTry.ceval [inductive, in Imp]
CEvalFirstTry.E_Ass [constructor, in Imp]
CEvalFirstTry.E_IfFalse [constructor, in Imp]
CEvalFirstTry.E_IfTrue [constructor, in Imp]
CEvalFirstTry.E_Seq [constructor, in Imp]
CEvalFirstTry.E_Skip [constructor, in Imp]
CEvalFirstTry.E_WhileEnd [constructor, in Imp]
CEvalFirstTry.E_WhileLoop [constructor, in Imp]
ceval_and_ceval_step_coincide [lemma, in Imp]
ceval_deterministic [lemma, in Imp]
ceval_deterministic' [lemma, in Imp]
ceval_example1 [definition, in Imp]
ceval_example2 [definition, in Imp]
ceval_step [definition, in Imp]
ceval_step1 [definition, in Imp]
ceval_step2 [definition, in Imp]
ceval_step3 [definition, in Imp]
ceval_step_more [lemma, in Imp]
ceval_step__ceval [lemma, in Imp]
ceval__ceval_step [lemma, in Imp]
chartype [inductive, in ImpParser]
CIf [constructor, in Imp]
CIf [constructor, in MoreHoare]
CImp [module, in Smallstep]
CImp.CAss [constructor, in Smallstep]
CImp.CIf [constructor, 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.cstepmany [definition, 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_loop [definition, in Smallstep]
CImp.par_loop_body [definition, in Smallstep]
CImp.par_loop_example_0 [definition, in Smallstep]
CImp.par_loop_example_2 [definition, in Smallstep]
CImp.par_loop_init [definition, in Smallstep]
CImp.refl_step_closure4 [inductive, in Smallstep]
CImp.rsc4_refl [constructor, in Smallstep]
CImp.rsc4_step [constructor, in Smallstep]
classic [definition, in Logic]
classifyChar [definition, in ImpParser]
clos_refl_trans [inductive, in Rel]
com [inductive, in Imp]
com [inductive, in MoreHoare]
combine [definition, in Poly]
Combined [module, 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.tm [inductive, in Smallstep]
Combined.tm_const [constructor, in Smallstep]
Combined.tm_false [constructor, in Smallstep]
Combined.tm_if [constructor, in Smallstep]
Combined.tm_plus [constructor, in Smallstep]
Combined.tm_true [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]
conj [constructor, in Logic]
cons [constructor, in Poly]
constfun [definition, in Poly]
constfun_example1 [definition, in Poly]
constfun_example2 [definition, in Poly]
context [definition, in Records]
context [definition, in Subtyping]
context_invariance [lemma, in Records]
context_invariance [lemma, in Subtyping]
contradiction_implies_anything [lemma, in Logic]
contrapositive [lemma, in Logic]
countoddmembers' [definition, in Poly]
CSeq [constructor, in Imp]
CSeq [constructor, in MoreHoare]
CSeq_congruence [lemma, in Equiv]
CSkip [constructor, in Imp]
CSkip [constructor, in MoreHoare]
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]
curry_uncurry [lemma, in Poly]
CWhile [constructor, in MoreHoare]
CWhile [constructor, in Imp]
C1 [constructor, in Ind]
C2 [constructor, in Ind]


D

day [inductive, in Basics]
day_before [inductive, in Ind]
db_fri [constructor, in Ind]
db_mon [constructor, in Ind]
db_sat [constructor, in Ind]
db_sun [constructor, in Ind]
db_thu [constructor, in Ind]
db_tue [constructor, in Ind]
db_wed [constructor, in Ind]
DCAsgn [constructor, in MoreHoare]
DCIf [constructor, in MoreHoare]
dcom [inductive, in MoreHoare]
DCPost [constructor, in MoreHoare]
DCPre [constructor, in MoreHoare]
DCSeq [constructor, in MoreHoare]
DCSkip [constructor, in MoreHoare]
DCWhile [constructor, in MoreHoare]
dec_correct [definition, in MoreHoare]
dec_while [definition, in MoreHoare]
dec_while_correct [lemma, in MoreHoare]
de_morgan_not_and_not [definition, in Logic]
digit [constructor, in ImpParser]
dist_exists_or [lemma, in Logic]
dist_not_exists [lemma, in Logic]
doit3times [definition, in Poly]
double [definition, in Poly]
double_even [lemma, in Ind]
double_injective [lemma, in Poly]
double_injective' [lemma, in Ind]
double_injective_FAILED [lemma, in Ind]
double_injective_take2 [lemma, in Ind]
double_injective_take2_FAILED [lemma, in Ind]
double_neg [lemma, in Logic]


E

empty [definition, in Records]
empty [definition, in Subtyping]
empty_relation [inductive, in SfLib]
empty_state [definition, in Imp]
empty_state [definition, in MoreHoare]
eqnat_false_S [lemma, in Ind]
Equiv [library]
equivalence [definition, in Rel]
eq_add_S [lemma, in Poly]
ev [inductive, in SfLib]
ev [inductive, in Ind]
eval [inductive, in Smallstep]
eval__stepmany [lemma, in Smallstep]
eval__value [lemma, in Smallstep]
even [definition, in Ind]
evenb [definition, in Basics]
evenb_n__oddb_Sn [lemma, in Basics]
even5_nonsense [lemma, in Ind]
even_ev [lemma, in Logic]
even_n__even_SSn [definition, in Ind]
ev_even [lemma, in Ind]
ev_even' [lemma, in Ind]
ev_ev_even [lemma, in Ind]
ev_minus2 [lemma, in Ind]
ev_minus2' [lemma, in Ind]
ev_MyProp [lemma, in Ind]
ev_MyProp' [lemma, in Ind]
ev_not_ev_S [lemma, in Logic]
ev_not_ev_S [lemma, in SfLib]
ev_SS [constructor, in Ind]
ev_SS [constructor, in SfLib]
ev_sum [lemma, in Ind]
ev_0 [constructor, in Ind]
ev_0 [constructor, in SfLib]
ex [inductive, in Logic]
Examples [module, in Records]
Examples [module, in Subtyping]
Examples.A [abbreviation, in Subtyping]
Examples.A [abbreviation, in Records]
Examples.B [abbreviation, in Subtyping]
Examples.B [abbreviation, in Records]
Examples.C [abbreviation, in Subtyping]
Examples.C [abbreviation, in Records]
Examples.Employee [definition, in Subtyping]
Examples.FLOAT [abbreviation, in Subtyping]
Examples.i [abbreviation, in Records]
Examples.INTEGER [abbreviation, in Subtyping]
Examples.j [abbreviation, in Records]
Examples.k [abbreviation, in Records]
Examples.Person [definition, in Subtyping]
Examples.STRING [abbreviation, in Subtyping]
Examples.Student [definition, in Subtyping]
Examples.subtyping_example_0 [definition, in Records]
Examples.subtyping_example_0 [definition, in Subtyping]
Examples.subtyping_example_1 [definition, in Subtyping]
Examples.subtyping_example_1 [definition, in Records]
Examples.subtyping_example_2 [definition, in Subtyping]
Examples.subtyping_example_2 [definition, in Records]
Examples.subtyping_example_3 [definition, in Records]
Examples.subtyping_example_4 [definition, in Records]
Examples.sub_employee_person [definition, in Subtyping]
Examples.sub_student_person [definition, in Subtyping]
Examples.tm_rcd_kj [definition, in Records]
Examples.ty_rcd_j [definition, in Records]
Examples.ty_rcd_kj [definition, in Records]
Examples.x [abbreviation, in Subtyping]
Examples.x [abbreviation, in Records]
Examples.y [abbreviation, in Subtyping]
Examples.y [abbreviation, in Records]
Examples.z [abbreviation, in Subtyping]
Examples.z [abbreviation, in Records]
Examples2 [module, in Records]
Examples2 [module, in Subtyping]
Examples2.typing_example_0 [definition, in Records]
Examples2.typing_example_1 [definition, in Records]
Examples2.typing_example_2 [definition, in Records]
excluded_middle [definition, in Logic]
ExFirstTry [module, in Logic]
ExFirstTry.ex [inductive, in Logic]
ExFirstTry.ex_intro [constructor, in Logic]
ExFirstTry.snie [definition, in Logic]
ExFirstTry.some_nat_is_even [definition, in Logic]
exists_example_1 [definition, in Logic]
exists_example_1' [definition, in Logic]
exists_example_2 [lemma, in Logic]
exp [definition, in Basics]
expect [definition, in ImpParser]
extend [definition, in Records]
extend [definition, in Subtyping]
extract [definition, in MoreHoare]
ex_falso_quodlibet [lemma, in SfLib]
ex_falso_quodlibet [lemma, in Logic]
ex_intro [constructor, in Logic]
E_Ass [constructor, in MoreHoare]
E_Ass [constructor, in Imp]
E_Const [constructor, in Smallstep]
E_IfFalse [constructor, in Imp]
E_IfFalse [constructor, in MoreHoare]
E_IfTrue [constructor, in Imp]
E_IfTrue [constructor, in MoreHoare]
E_Plus [constructor, in Smallstep]
E_Seq [constructor, in MoreHoare]
E_Seq [constructor, in Imp]
E_Skip [constructor, in Imp]
E_Skip [constructor, in MoreHoare]
E_WhileEnd [constructor, in Imp]
E_WhileEnd [constructor, in MoreHoare]
E_WhileLoop [constructor, in MoreHoare]
E_WhileLoop [constructor, in Imp]


F

Factorial [module, in Hoare]
factorial [definition, in Basics]
Factorial.fact_body [definition, in Hoare]
Factorial.fact_com [definition, in Hoare]
Factorial.fact_com_correct [lemma, in Hoare]
Factorial.fact_loop [definition, in Hoare]
Factorial.real_fact [definition, in Hoare]
fact_body [definition, in Imp]
fact_body_preserves_invariant [lemma, in Equiv]
fact_com [definition, in Imp]
fact_com_correct [lemma, in Equiv]
fact_invariant [definition, in Equiv]
fact_loop [definition, in Imp]
fact_loop_preserves_invariant [lemma, in Equiv]
False [inductive, in Logic]
false [constructor, in Basics]
False_implies_nonsense [lemma, in Logic]
fdfs_any [constructor, in Ind]
fdfs_wed [lemma, in Ind]
fdfs_wed' [definition, in Ind]
filter [definition, in Poly]
filter_exercise [lemma, in Poly]
find_parity [definition, in Hoare]
find_parity_correct [lemma, in Hoare]
find_parity_invariant [definition, in Hoare]
find_parity_invariant' [definition, in Hoare]
fine_day_for_singing [inductive, in Ind]
firstExpect [definition, in ImpParser]
FirstTry [module, in Records]
five_not_even [lemma, in Logic]
flat_map [definition, in Poly]
fmostlytrue [definition, in Poly]
fold [definition, in Poly]
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_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]
fold_example1 [definition, in Poly]
fold_example2 [definition, in Poly]
fold_example3 [definition, in Poly]
fold_length [definition, in Poly]
fold_length_correct [lemma, in Poly]
fold_map [definition, in Poly]
foo' [inductive, in Ind]
forallb [definition, in Logic]
free_in_context [lemma, in Subtyping]
free_in_context [lemma, in Records]
friday [constructor, in Basics]
fst [definition, in Poly]
ftrue [definition, in Poly]
funny_prop1 [definition, in Logic]
funny_prop1' [definition, in Logic]
funny_prop1'' [definition, in Logic]


G

gds [lemma, in Ind]
gd_sat [constructor, in Ind]
gd_sun [constructor, in Ind]
good_day [inductive, in Ind]
green [constructor, in Ind]
guard_false_after_loop [lemma, in Equiv]


H

has_type [inductive, in Subtyping]
has_type [inductive, in Records]
has_type [inductive, in Stlc]
has_type_not [definition, in Stlc]
has_type_1 [definition, in Stlc]
has_type__wf [lemma, in Records]
hd_opt [definition, in Poly]
head [definition, in MoreHoare]
Hoare [library]
hoare_asgn [lemma, in MoreHoare]
hoare_asgn [lemma, in Hoare]
hoare_asgn_eq [lemma, in Hoare]
hoare_asgn_eq [lemma, in MoreHoare]
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_weakest [lemma, in Hoare]
hoare_consequence [lemma, in MoreHoare]
hoare_consequence [lemma, in Hoare]
hoare_consequence_post [lemma, in Hoare]
hoare_consequence_post [lemma, in MoreHoare]
hoare_consequence_pre [lemma, in Hoare]
hoare_consequence_pre [lemma, in MoreHoare]
hoare_if [lemma, in Hoare]
hoare_if [lemma, in MoreHoare]
hoare_post_true [lemma, in Hoare]
hoare_pre_false [lemma, in Hoare]
hoare_seq [lemma, in MoreHoare]
hoare_seq [lemma, in Hoare]
hoare_skip [lemma, in Hoare]
hoare_skip [lemma, in MoreHoare]
hoare_triple [definition, in MoreHoare]
hoare_triple [definition, in Hoare]
hoare_while [lemma, in Hoare]
hoare_while [lemma, in MoreHoare]


I

Id [constructor, in Imp]
id [inductive, in MoreHoare]
id [inductive, in Imp]
Id [constructor, in MoreHoare]
IFB_congruence [lemma, in Equiv]
IFB_false [lemma, in Equiv]
IFB_true [lemma, in Equiv]
IFB_true_simple [lemma, in Equiv]
iff [definition, in Logic]
iff_implies [lemma, in Logic]
iff_refl [lemma, in Logic]
iff_sym [lemma, in Logic]
iff_trans [lemma, in Equiv]
iff_trans [lemma, in Logic]
if_example [definition, in Hoare]
Imp [library]
implies_to_or [definition, in Logic]
ImpParser [library]
Ind [library]
index [definition, in Poly]
index_after_last [lemma, in Ind]
inequiv_exercise [lemma, in Equiv]
isAlpha [definition, in ImpParser]
isDigit [definition, in ImpParser]
isLowerAlpha [definition, in ImpParser]
isWhite [definition, in ImpParser]


L

le [inductive, in Logic]
leaf [constructor, in Ind]
LeFirstTry [module, in Logic]
LeFirstTry.le [inductive, in Logic]
LeFirstTry.le_n [constructor, in Logic]
LeFirstTry.le_S [constructor, in Logic]
length [definition, in Poly]
length' [definition, in Poly]
length'' [definition, in Poly]
length_is_1 [definition, in Poly]
length_snoc' [lemma, in Poly]
length_snoc''' [lemma, in Ind]
le_antisymmetric [lemma, in Rel]
le_n [constructor, in Logic]
le_not_a_partial_function [lemma, in Rel]
le_not_symmetric [lemma, in Rel]
le_order [lemma, in Rel]
le_plus_l [lemma, in Logic]
le_reflexive [lemma, in Rel]
le_S [constructor, in Logic]
le_Sn_le [lemma, in Rel]
le_Sn_n [lemma, in Rel]
le_step [lemma, in Rel]
le_S_n [lemma, in Rel]
le_trans [lemma, in Rel]
list [inductive, in Poly]
Lists [library]
list123 [definition, in Poly]
list123' [definition, in Poly]
list123'' [definition, in Poly]
list_member [definition, in MoreHoare]
list_member_correct [lemma, in MoreHoare]
list_member_correct' [lemma, in MoreHoare]
list_member_decorated [definition, in MoreHoare]
list_member_spec [definition, in MoreHoare]
list_of_string [definition, in ImpParser]
Logic [library]
lookup_field_in_value [lemma, in Records]
loop [definition, in Imp]
loop_never_stops [lemma, in Imp]
loop_unrolling [lemma, in Equiv]
lt [definition, in Logic]
lt_S [lemma, in Logic]
lt_trans [lemma, in Rel]
lt_trans' [lemma, in Rel]
lt_trans'' [lemma, in Rel]


M

many [definition, in ImpParser]
many_helper [definition, in ImpParser]
map [definition, in Poly]
map_option [definition, in Poly]
map_rev [lemma, in Poly]
minustwo [definition, in Basics]
minus_diag [lemma, in Basics]
minus_pred [lemma, in Hoare]
monday [constructor, in Basics]
MoreHoare [library]
MoreStlc [library]
mult_assoc [lemma, in Basics]
mult_comm [lemma, in Basics]
mult_plus_distr_r [lemma, in Basics]
mult_0_l [lemma, in Basics]
mult_0_plus [lemma, in Basics]
mult_0_plus' [lemma, in Basics]
mult_0_r [lemma, in Basics]
mult_0_r' [lemma, in Ind]
mult_0_r'' [lemma, in Ind]
mult_1_l [lemma, in Basics]
mult_1_plus [lemma, in Basics]
MumbleBaz [module, in Poly]
MumbleBaz.a [constructor, in Poly]
MumbleBaz.b [constructor, in Poly]
MumbleBaz.baz [inductive, in Poly]
MumbleBaz.c [constructor, in Poly]
MumbleBaz.d [constructor, in Poly]
MumbleBaz.e [constructor, in Poly]
MumbleBaz.grumble [inductive, in Poly]
MumbleBaz.mumble [inductive, in Poly]
MumbleBaz.x [constructor, in Poly]
MumbleBaz.y [constructor, in Poly]
MyEquality [module, in Logic]
MyEquality.eq [inductive, in Logic]
MyEquality.eq' [inductive, in Logic]
MyEquality.refl_equal [constructor, in Logic]
MyEquality.refl_equal' [constructor, in Logic]
MyEquality.two_defs_of_eq_coincide [lemma, in Logic]
mynil [definition, in Poly]
MyProp [inductive, in Ind]
MyProp1 [constructor, in Ind]
MyProp2 [constructor, in Ind]
MyProp3 [constructor, in Ind]
MyProp_ev [lemma, in Ind]
MyProp_iff_ev [definition, in Logic]
MyProp_plustwo [lemma, in Ind]
MyProp_ten [lemma, in Ind]
MyProp_0 [lemma, in Ind]


N

nandb [definition, in Basics]
natlist [inductive, in Ind]
NatList [module, in Lists]
NatList.add [definition, in Lists]
NatList.alternate [definition, in Lists]
NatList.app [definition, in Lists]
NatList.app_length [lemma, in Lists]
NatList.app_nil_end [lemma, in Lists]
NatList.ass_app [lemma, in Lists]
NatList.ass_app' [lemma, in Lists]
NatList.ass_app4 [lemma, in Lists]
NatList.bag [definition, in Lists]
NatList.beq_natlist [definition, in Lists]
NatList.beq_natlist_refl [lemma, in Lists]
NatList.beq_nat_sym [lemma, in Lists]
NatList.ble_n_Sn [lemma, in Lists]
NatList.cons [constructor, in Lists]
NatList.count [definition, in Lists]
NatList.countoddmembers [definition, in Lists]
NatList.count_member_nonzero [lemma, in Lists]
NatList.distr_rev [lemma, in Lists]
NatList.fst [definition, in Lists]
NatList.fst' [definition, in Lists]
NatList.fst_swap_is_snd [lemma, in Lists]
NatList.hd [definition, in Lists]
NatList.hd_opt [definition, in Lists]
NatList.index [definition, in Lists]
NatList.index' [definition, in Lists]
NatList.index_bad [definition, in Lists]
NatList.length [definition, in Lists]
NatList.length_snoc [lemma, in Lists]
NatList.l_123 [definition, in Lists]
NatList.l_123' [definition, in Lists]
NatList.l_123'' [definition, in Lists]
NatList.l_123''' [definition, in Lists]
NatList.member [definition, in Lists]
NatList.natlist [inductive, in Lists]
NatList.natoption [inductive, in Lists]
NatList.natprod [inductive, in Lists]
NatList.nil [constructor, in Lists]
NatList.nil_app [lemma, in Lists]
NatList.None [constructor, in Lists]
NatList.nonzeros [definition, in Lists]
NatList.nonzeros_length [lemma, in Lists]
NatList.oddmembers [definition, in Lists]
NatList.option_elim [definition, in Lists]
NatList.option_elim_hd [lemma, in Lists]
NatList.pair [constructor, in Lists]
NatList.remove_all [definition, in Lists]
NatList.remove_decreases_count [lemma, in Lists]
NatList.remove_one [definition, in Lists]
NatList.repeat [definition, in Lists]
NatList.rev [definition, in Lists]
NatList.rev_exercise1 [lemma, in Lists]
NatList.rev_involutive [lemma, in Lists]
NatList.rev_length [lemma, in Lists]
NatList.rev_length_firsttry [lemma, in Lists]
NatList.silly1 [lemma, in Lists]
NatList.silly2 [lemma, in Lists]
NatList.silly2a [lemma, in Lists]
NatList.silly3 [lemma, in Lists]
NatList.silly3_firsttry [lemma, in Lists]
NatList.silly_ex [lemma, in Lists]
NatList.snd [definition, in Lists]
NatList.snd' [definition, in Lists]
NatList.snd_fst_is_swap [lemma, in Lists]
NatList.snoc [definition, in Lists]
NatList.snoc_append [lemma, in Lists]
NatList.Some [constructor, in Lists]
NatList.subset [definition, in Lists]
NatList.surjective_pairing [lemma, in Lists]
NatList.surjective_pairing' [lemma, in Lists]
NatList.surjective_pairing_stuck [lemma, in Lists]
NatList.swap_pair [definition, in Lists]
NatList.test_add1 [definition, in Lists]
NatList.test_add2 [definition, in Lists]
NatList.test_alternate1 [definition, in Lists]
NatList.test_alternate2 [definition, in Lists]
NatList.test_alternate3 [definition, in Lists]
NatList.test_app1 [definition, in Lists]
NatList.test_app2 [definition, in Lists]
NatList.test_app3 [definition, in Lists]
NatList.test_beq_natlist1 [definition, in Lists]
NatList.test_beq_natlist2 [definition, in Lists]
NatList.test_beq_natlist3 [definition, in Lists]
NatList.test_countoddmembers1 [definition, in Lists]
NatList.test_countoddmembers2 [definition, in Lists]
NatList.test_countoddmembers3 [definition, in Lists]
NatList.test_count1 [definition, in Lists]
NatList.test_count2 [definition, in Lists]
NatList.test_hd [definition, in Lists]
NatList.test_hd_opt1 [definition, in Lists]
NatList.test_hd_opt2 [definition, in Lists]
NatList.test_hd_opt3 [definition, in Lists]
NatList.test_index1 [definition, in Lists]
NatList.test_index2 [definition, in Lists]
NatList.test_index3 [definition, in Lists]
NatList.test_member1 [definition, in Lists]
NatList.test_member2 [definition, in Lists]
NatList.test_nonzeros [definition, in Lists]
NatList.test_oddmembers [definition, in Lists]
NatList.test_remove_all1 [definition, in Lists]
NatList.test_remove_all2 [definition, in Lists]
NatList.test_remove_all3 [definition, in Lists]
NatList.test_remove_all4 [definition, in Lists]
NatList.test_remove_one1 [definition, in Lists]
NatList.test_remove_one2 [definition, in Lists]
NatList.test_remove_one3 [definition, in Lists]
NatList.test_remove_one4 [definition, in Lists]
NatList.test_rev1 [definition, in Lists]
NatList.test_rev2 [definition, in Lists]
NatList.test_subset1 [definition, in Lists]
NatList.test_subset2 [definition, in Lists]
NatList.test_tl [definition, in Lists]
NatList.test_union1 [definition, in Lists]
NatList.tl [definition, in Lists]
NatList.tl_length_pred [lemma, in Lists]
NatList.union [definition, in Lists]
natlist1 [inductive, in Ind]
ncons [constructor, in Ind]
negb [definition, in Basics]
negb_involutive [lemma, in Basics]
neq0_not_true__eq_0 [lemma, in Hoare]
neq0_true__eq_S [lemma, in Hoare]
next_even [inductive, in Logic]
next_nat [inductive, in Logic]
next_nat [inductive, in SfLib]
next_nat_closure_is_le [lemma, in Rel]
next_nat_partial_function [lemma, in Rel]
next_weekday [definition, in Basics]
ne_1 [constructor, in Logic]
ne_2 [constructor, in Logic]
nf_is_value [lemma, in Smallstep]
nil [constructor, in Poly]
nil_app [lemma, in Poly]
nn [constructor, in Logic]
nn [constructor, in SfLib]
nnil [constructor, in Ind]
nnil1 [constructor, in Ind]
no [constructor, in Ind]
node [constructor, in Ind]
None [constructor, in Poly]
NoneE [constructor, in ImpParser]
nonsense_implies_False [lemma, in Logic]
normalizing [definition, in Smallstep]
normal_form [definition, in Smallstep]
normal_forms_unique [lemma, in Smallstep]
normal_form_of [definition, in Smallstep]
not [definition, in Logic]
not_both_true_and_false [lemma, in Logic]
not_eq_beq_false [lemma, in SfLib]
not_eq_beq_false [lemma, in Logic]
not_eq_beq_id_false [lemma, in Imp]
not_eq_beq_id_false [lemma, in MoreHoare]
not_ev_ev_S [lemma, in Hoare]
not_ev_ev_S_gen [lemma, in Hoare]
not_exists_dist [lemma, in Logic]
not_False [lemma, in Logic]
not_false_then_true [lemma, in Logic]
no_Whiles [inductive, in Imp]
no_whiles [definition, in Imp]
no_whiles_eqv [lemma, in Imp]
nsnoc1 [constructor, in Ind]
nvalue [inductive, in Stlc]
nv_succ [constructor, in Stlc]
nv_zero [constructor, in Stlc]
n_le_m__Sn_le_Sm [lemma, in Logic]


O

oddb [definition, in Basics]
okdw [definition, in Ind]
okdw' [lemma, in Ind]
okd_before [constructor, in Ind]
okd_before2 [definition, in Ind]
okd_before2_valid [lemma, in Ind]
okd_before2_valid' [definition, in Ind]
okd_gd [constructor, in Ind]
ok_day [inductive, in Ind]
option [inductive, in Poly]
optionE [inductive, in ImpParser]
or [inductive, in Logic]
orb [definition, in Basics]
orb_false [lemma, in Logic]
orb_true [lemma, in Logic]
order [definition, in Rel]
or_commut [lemma, in Logic]
or_commut' [lemma, in Logic]
or_distributes_over_and [lemma, in Logic]
or_distributes_over_and_1 [lemma, in Logic]
or_distributes_over_and_2 [lemma, in Logic]
or_introl [constructor, in Logic]
or_intror [constructor, in Logic]
other [constructor, in ImpParser]
our_nat_induction [definition, in Ind]
override [definition, in Poly]
override_eq [lemma, in Poly]
override_example [lemma, in Poly]
override_example1 [definition, in Poly]
override_example2 [definition, in Poly]
override_example3 [definition, in Poly]
override_example4 [definition, in Poly]
override_neq [lemma, in Poly]
override_permute [lemma, in Poly]
override_same [lemma, in Poly]
override_shadow [lemma, in Poly]
O_le_n [lemma, in Logic]


P

P [module, in Ind]
p [definition, in Logic]
pair [constructor, in Poly]
parse [definition, in ImpParser]
parseAExp [definition, in ImpParser]
parseAtomicExp [definition, in ImpParser]
parseBExp [definition, in ImpParser]
parseConjunctionExp [definition, in ImpParser]
parseIdentifier [definition, in ImpParser]
parseNumber [definition, in ImpParser]
parsePrimaryExp [definition, in ImpParser]
parseProductExp [definition, in ImpParser]
parser [definition, in ImpParser]
parseSequencedCommand [definition, in ImpParser]
parseSimpleCommand [definition, in ImpParser]
parseSumExp [definition, in ImpParser]
partial_function [definition, in Rel]
partial_function [definition, in SfLib]
partition [definition, in Poly]
peirce [definition, in Logic]
Playground1 [module, in Basics]
Playground1.nat [inductive, in Basics]
Playground1.O [constructor, in Basics]
Playground1.pred [definition, in Basics]
Playground1.S [constructor, in Basics]
Playground2 [module, in Basics]
Playground2.minus [definition, in Basics]
Playground2.mult [definition, in Basics]
Playground2.plus [definition, in Basics]
plus2 [definition, in Imp]
plus2_spec [lemma, in Imp]
plus3 [definition, in Poly]
plus_assoc [lemma, in Basics]
plus_assoc' [lemma, in Basics]
plus_assoc' [lemma, in Ind]
plus_ble_compat_l [lemma, in Basics]
plus_comm [lemma, in Basics]
plus_comm' [lemma, in Ind]
plus_comm'' [lemma, in Ind]
plus_fact [definition, in Ind]
plus_fact_is_true [lemma, in Ind]
plus_id_example [lemma, in Basics]
plus_id_exercise [lemma, in Basics]
plus_lt [lemma, in Logic]
plus_n_n_injective [lemma, in Poly]
plus_n_n_injective_take2 [lemma, in Ind]
plus_n_Sm [lemma, in Basics]
plus_one_r' [lemma, in Ind]
plus_O_n [lemma, in Basics]
plus_O_n' [lemma, in Basics]
plus_O_n'' [lemma, in Basics]
plus_rearrange [lemma, in Basics]
plus_rearrange_firsttry [lemma, in Basics]
plus_swap [lemma, in Basics]
plus_swap' [lemma, in Basics]
plus_0_r [lemma, in Basics]
plus_0_r_firsttry [lemma, in Basics]
plus_0_r_secondtry [lemma, in Basics]
plus_1_l [lemma, in Basics]
plus_1_neq_0 [lemma, in Basics]
plus_1_neq_0_firsttry [lemma, in Basics]
plus_2_2_is_4 [lemma, in Ind]
Poly [library]
post [definition, in MoreHoare]
Preface [library]
preorder [definition, in Rel]
preservation [lemma, in Subtyping]
preservation [lemma, in Stlc]
preservation [lemma, in Records]
preservation' [lemma, in Stlc]
preserved_by_S [definition, in Ind]
prod [inductive, in Poly]
prod_curry [definition, in Poly]
prod_uncurry [definition, in Poly]
progress [lemma, in Stlc]
progress [lemma, in Subtyping]
progress [lemma, in Records]
progress [lemma, in Smallstep]
proj1 [lemma, in Logic]
proj2 [lemma, in Logic]
pup_to_n [definition, in Imp]
P.c1 [constructor, in Ind]
P.c2 [constructor, in Ind]
P.c3 [constructor, in Ind]
P.p [inductive, in Ind]
P_m0r [definition, in Ind]
P_m0r' [definition, in Ind]


R

R [module, in Logic]
random_fact_1 [lemma, in Hoare]
random_fact_2 [lemma, in Hoare]
rcd_types_match [lemma, in Records]
real_fact [definition, in Equiv]
Records [library]
record_tm [inductive, in Records]
record_ty [inductive, in Records]
red [constructor, in Ind]
reduce_to_zero [definition, in Hoare]
reduce_to_zero_correct [lemma, in Hoare]
References [library]
reflexive [definition, in Rel]
refl_aequiv [lemma, in Equiv]
refl_bequiv [lemma, in Equiv]
refl_cequiv [lemma, in Equiv]
refl_step_closure [inductive, in Rel]
refl_step_closure [inductive, in SfLib]
Rel [library]
relation [definition, in Rel]
relation [definition, in SfLib]
repeat [definition, in Poly]
RepeatExercise [module, in Hoare]
RepeatExercise.CAss [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.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_WhileEnd [constructor, in Hoare]
RepeatExercise.E_WhileLoop [constructor, in Hoare]
RepeatExercise.hoare_triple [definition, in Hoare]
rev [definition, in MoreHoare]
rev [definition, in Poly]
rev_equation [lemma, in MoreHoare]
rev_snoc [lemma, in Poly]
rgb [inductive, in Ind]
rsc_R [lemma, in Rel]
rsc_R [lemma, in SfLib]
rsc_refl [constructor, in SfLib]
rsc_refl [constructor, in Rel]
rsc_step [constructor, in SfLib]
rsc_step [constructor, in Rel]
rsc_trans [lemma, in SfLib]
rsc_trans [lemma, in Rel]
rtc_rsc_coincide [lemma, in Rel]
rtm_cons [constructor, in Records]
rtm_nil [constructor, in Records]
rty_cons [constructor, in Records]
rty_nil [constructor, in Records]
rt_refl [constructor, in Rel]
rt_step [constructor, in Rel]
rt_trans [constructor, in Rel]
R.c1 [constructor, in Logic]
R.c2 [constructor, in Logic]
R.c3 [constructor, in Logic]
R.c4 [constructor, in Logic]
R.c5 [constructor, in Logic]
R.R [inductive, in Logic]


S

saturday [constructor, in Basics]
seq_assoc [lemma, in Equiv]
SfLib [library]
sillyex1 [definition, in Poly]
sillyex2 [definition, in Poly]
sillyfun [definition, in Poly]
sillyfun1 [definition, in Poly]
sillyfun1_odd [lemma, in Poly]
sillyfun1_odd_FAILED [lemma, in Poly]
sillyfun_false [lemma, in Poly]
silly3' [lemma, in Poly]
silly4 [lemma, in Poly]
silly5 [lemma, in Poly]
silly6 [lemma, in Poly]
silly7 [lemma, in Poly]
silly_presburger_formula [definition, in Imp]
SimpleArith0 [module, in Smallstep]
SimpleArith0.eval [definition, in Smallstep]
SimpleArith1 [module, in Smallstep]
SimpleArith1.eval [inductive, in Smallstep]
SimpleArith1.E_Const [constructor, in Smallstep]
SimpleArith1.E_Plus [constructor, in Smallstep]
SimpleArith2 [module, in Smallstep]
SimpleArith2.step [inductive, in Smallstep]
SimpleArith2.step_deterministic [lemma, in Smallstep]
SimpleArith2.ST_PlusConstConst [constructor, in Smallstep]
SimpleArith2.ST_Plus1 [constructor, in Smallstep]
SimpleArith2.ST_Plus2 [constructor, in Smallstep]
SimpleArith2.test_step_1 [definition, in Smallstep]
SimpleArith2.test_step_2 [definition, in Smallstep]
sinstr [inductive, in Imp]
skip_left [lemma, in Equiv]
skip_right [lemma, in Equiv]
SLoad [constructor, in Imp]
Smallstep [library]
SMinus [constructor, in Imp]
SMult [constructor, in Imp]
snd [definition, in Poly]
snoc [definition, in Poly]
snoc [definition, in MoreHoare]
snoc_equation [lemma, in MoreHoare]
snoc_with_append [lemma, in Poly]
Some [constructor, in Poly]
SomeE [constructor, in ImpParser]
some_tm_is_stuck [definition, in Stlc]
soundness [lemma, in Stlc]
SPlus [constructor, in Imp]
SPush [constructor, in Imp]
sq [constructor, in Logic]
sqrt_com [definition, in Hoare]
sqrt_com_correct [lemma, in Hoare]
sqrt_inv [definition, in Hoare]
sqrt_loop [definition, in Hoare]
sqrt_spec [definition, in Hoare]
square_of [inductive, in Logic]
SSev_even [lemma, in Ind]
SSev_ev_firsttry [lemma, in Ind]
SSSSev_even [lemma, in Ind]
ss_invariant [definition, in Equiv]
state [definition, in Imp]
state [definition, in MoreHoare]
step [inductive, in Smallstep]
step [inductive, in Records]
step [inductive, in Stlc]
step [inductive, in Subtyping]
stepmany [definition, in Stlc]
stepmany [definition, in Smallstep]
stepmany_congr_1 [lemma, in Smallstep]
stepmany_congr_2 [lemma, in Smallstep]
stepmany_iff_eval [lemma, in Smallstep]
stepmany__eval [lemma, in Smallstep]
step_deterministic [lemma, in Stlc]
step_deterministic [lemma, in Smallstep]
step_normalizing [lemma, in Smallstep]
step_normal_form [definition, in Smallstep]
step_normal_form [abbreviation, in Stlc]
step_preserves_record_tm [lemma, in Records]
step__eval [lemma, in Smallstep]
STLC [module, in Stlc]
Stlc [library]
STLCArith [module, in Stlc]
STLCArith.tm [inductive, in Stlc]
STLCArith.tm_abs [constructor, in Stlc]
STLCArith.tm_app [constructor, in Stlc]
STLCArith.tm_if0 [constructor, in Stlc]
STLCArith.tm_mult [constructor, in Stlc]
STLCArith.tm_nat [constructor, in Stlc]
STLCArith.tm_pred [constructor, in Stlc]
STLCArith.tm_succ [constructor, in Stlc]
STLCArith.tm_var [constructor, in Stlc]
STLCArith.ty [inductive, in Stlc]
STLCArith.ty_arrow [constructor, in Stlc]
STLCArith.ty_nat [constructor, in Stlc]
STLCChecker [module, in MoreStlc]
STLCChecker.beq_ty [definition, in MoreStlc]
STLCChecker.beq_ty_refl [lemma, in MoreStlc]
STLCChecker.beq_ty__eq [lemma, in MoreStlc]
STLCChecker.type_check [definition, in MoreStlc]
STLCChecker.type_checking_complete [lemma, in MoreStlc]
STLCChecker.type_checking_sound [lemma, in MoreStlc]
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.empty [definition, in Records]
STLCExtendedRecords.extend [definition, in Records]
STLCExtendedRecords.f [abbreviation, in Records]
STLCExtendedRecords.fact [definition, in Records]
STLCExtendedRecords.fact_example [definition, in Records]
STLCExtendedRecords.fact_typechecks [definition, in Records]
STLCExtendedRecords.FirstTry.alist [definition, in Records]
STLCExtendedRecords.FirstTry.ty [inductive, in Records]
STLCExtendedRecords.FirstTry.ty_arrow [constructor, in Records]
STLCExtendedRecords.FirstTry.ty_base [constructor, in Records]
STLCExtendedRecords.FirstTry.ty_rcd [constructor, 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.map [definition, in Records]
STLCExtendedRecords.map_example [definition, in Records]
STLCExtendedRecords.map_typechecks [definition, 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.rtm_cons [constructor, in Records]
STLCExtendedRecords.rtm_nil [constructor, in Records]
STLCExtendedRecords.rty_cons [constructor, in Records]
STLCExtendedRecords.rty_nil [constructor, in Records]
STLCExtendedRecords.step [inductive, in Records]
STLCExtendedRecords.stepmany [abbreviation, 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.tm [inductive, in Records]
STLCExtendedRecords.tm_abs [constructor, in Records]
STLCExtendedRecords.tm_app [constructor, in Records]
STLCExtendedRecords.tm_case [constructor, in Records]
STLCExtendedRecords.tm_cons [constructor, in Records]
STLCExtendedRecords.tm_fix [constructor, in Records]
STLCExtendedRecords.tm_fst [constructor, in Records]
STLCExtendedRecords.tm_if0 [constructor, in Records]
STLCExtendedRecords.tm_let [constructor, in Records]
STLCExtendedRecords.tm_lookup [definition, in Records]
STLCExtendedRecords.tm_mult [constructor, in Records]
STLCExtendedRecords.tm_nat [constructor, in Records]
STLCExtendedRecords.tm_nil [constructor, in Records]
STLCExtendedRecords.tm_pair [constructor, in Records]
STLCExtendedRecords.tm_pred [constructor, in Records]
STLCExtendedRecords.tm_proj [constructor, in Records]
STLCExtendedRecords.tm_rcons [constructor, in Records]
STLCExtendedRecords.tm_rnil [constructor, in Records]
STLCExtendedRecords.tm_snd [constructor, in Records]
STLCExtendedRecords.tm_succ [constructor, in Records]
STLCExtendedRecords.tm_var [constructor, in Records]
STLCExtendedRecords.ty [inductive, in Records]
STLCExtendedRecords.typing_example [definition, in Records]
STLCExtendedRecords.typing_example_2 [lemma, in Records]
STLCExtendedRecords.typing_nonexample [definition, in Records]
STLCExtendedRecords.typing_nonexample_2 [definition, in Records]
STLCExtendedRecords.ty_arrow [constructor, in Records]
STLCExtendedRecords.ty_base [constructor, in Records]
STLCExtendedRecords.ty_list [constructor, in Records]
STLCExtendedRecords.ty_lookup [definition, in Records]
STLCExtendedRecords.ty_nat [constructor, in Records]
STLCExtendedRecords.ty_pair [constructor, in Records]
STLCExtendedRecords.ty_rcons [constructor, in Records]
STLCExtendedRecords.ty_rnil [constructor, 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.wfty_arrow [constructor, in Records]
STLCExtendedRecords.wfty_base [constructor, in Records]
STLCExtendedRecords.wfty_list [constructor, in Records]
STLCExtendedRecords.wfty_nat [constructor, in Records]
STLCExtendedRecords.wfty_pair [constructor, in Records]
STLCExtendedRecords.wfty_rcons [constructor, in Records]
STLCExtendedRecords.wfty_rnil [constructor, in Records]
STLCExtendedRecords.wf_rcd_lookup [lemma, in Records]
STLCExtended.A [abbreviation, in MoreStlc]
STLCExtended.a [abbreviation, in MoreStlc]
STLCExtended.afi_abs [constructor, in MoreStlc]
STLCExtended.afi_app1 [constructor, in MoreStlc]
STLCExtended.afi_app2 [constructor, in MoreStlc]
STLCExtended.afi_var [constructor, in MoreStlc]
STLCExtended.appears_free_in [inductive, in MoreStlc]
STLCExtended.B [abbreviation, in MoreStlc]
STLCExtended.context [definition, in MoreStlc]
STLCExtended.context_invariance [lemma, in MoreStlc]
STLCExtended.empty [definition, in MoreStlc]
STLCExtended.extend [definition, in MoreStlc]
STLCExtended.f [abbreviation, in MoreStlc]
STLCExtended.fact [definition, in MoreStlc]
STLCExtended.fact_example [definition, in MoreStlc]
STLCExtended.fact_typechecks [definition, in MoreStlc]
STLCExtended.free_in_context [lemma, in MoreStlc]
STLCExtended.g [abbreviation, in MoreStlc]
STLCExtended.has_type [inductive, in MoreStlc]
STLCExtended.i1 [abbreviation, in MoreStlc]
STLCExtended.i2 [abbreviation, in MoreStlc]
STLCExtended.k [abbreviation, in MoreStlc]
STLCExtended.l [abbreviation, in MoreStlc]
STLCExtended.map [definition, in MoreStlc]
STLCExtended.map_example [definition, in MoreStlc]
STLCExtended.map_typechecks [definition, in MoreStlc]
STLCExtended.preservation [lemma, in MoreStlc]
STLCExtended.progress [lemma, in MoreStlc]
STLCExtended.step [inductive, in MoreStlc]
STLCExtended.stepmany [abbreviation, in MoreStlc]
STLCExtended.ST_AppAbs [constructor, in MoreStlc]
STLCExtended.ST_App1 [constructor, in MoreStlc]
STLCExtended.ST_App2 [constructor, in MoreStlc]
STLCExtended.subst [definition, in MoreStlc]
STLCExtended.substitution_preserves_typing [lemma, in MoreStlc]
STLCExtended.tm [inductive, in MoreStlc]
STLCExtended.tm_abs [constructor, in MoreStlc]
STLCExtended.tm_app [constructor, in MoreStlc]
STLCExtended.tm_case [constructor, in MoreStlc]
STLCExtended.tm_cons [constructor, in MoreStlc]
STLCExtended.tm_fix [constructor, in MoreStlc]
STLCExtended.tm_fst [constructor, in MoreStlc]
STLCExtended.tm_if0 [constructor, in MoreStlc]
STLCExtended.tm_let [constructor, in MoreStlc]
STLCExtended.tm_mult [constructor, in MoreStlc]
STLCExtended.tm_nat [constructor, in MoreStlc]
STLCExtended.tm_nil [constructor, in MoreStlc]
STLCExtended.tm_pair [constructor, in MoreStlc]
STLCExtended.tm_pred [constructor, in MoreStlc]
STLCExtended.tm_snd [constructor, in MoreStlc]
STLCExtended.tm_succ [constructor, in MoreStlc]
STLCExtended.tm_unit [constructor, in MoreStlc]
STLCExtended.tm_var [constructor, in MoreStlc]
STLCExtended.ty [inductive, in MoreStlc]
STLCExtended.ty_arrow [constructor, in MoreStlc]
STLCExtended.ty_base [constructor, in MoreStlc]
STLCExtended.ty_list [constructor, in MoreStlc]
STLCExtended.ty_nat [constructor, in MoreStlc]
STLCExtended.ty_pair [constructor, in MoreStlc]
STLCExtended.ty_unit [constructor, in MoreStlc]
STLCExtended.T_Abs [constructor, in MoreStlc]
STLCExtended.T_App [constructor, in MoreStlc]
STLCExtended.T_Var [constructor, in MoreStlc]
STLCExtended.value [inductive, in MoreStlc]
STLCExtended.v_abs [constructor, in MoreStlc]
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.empty [definition, in References]
STLCRef.extend [definition, in References]
STLCRef.extends [inductive, 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.extends_snoc [lemma, in References]
STLCRef.extend_eq [lemma, in References]
STLCRef.extend_neq [lemma, in References]
STLCRef.extend_shadow [lemma, in References]
STLCRef.factorial [definition, in References]
STLCRef.factorial_type [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.length_snoc [lemma, in References]
STLCRef.lookup_replace_eq [lemma, in References]
STLCRef.lookup_replace_neq [lemma, in References]
STLCRef.loop [definition, in References]
STLCRef.loop_fun [definition, in References]
STLCRef.loop_fun_step_self [lemma, in References]
STLCRef.loop_steps_to_loop_fun [lemma, in References]
STLCRef.loop_typeable [lemma, in References]
STLCRef.nth_eq_snoc [lemma, in References]
STLCRef.nth_lt_snoc [lemma, in References]
STLCRef.partial_map [definition, in References]
STLCRef.preservation [lemma, in References]
STLCRef.preservation_wrong1 [lemma, in References]
STLCRef.preservation_wrong2 [lemma, in References]
STLCRef.progress [lemma, in References]
STLCRef.replace [definition, in References]
STLCRef.replace_nil [lemma, in References]
STLCRef.sc_one [constructor, in References]
STLCRef.sc_step [constructor, in References]
STLCRef.snoc [definition, in References]
STLCRef.step [inductive, in References]
STLCRef.stepmany [definition, in References]
STLCRef.stepmany1 [definition, in References]
STLCRef.step_closure [inductive, in References]
STLCRef.store [definition, in References]
STLCRef.store_lookup [definition, in References]
STLCRef.store_ty [definition, in References]
STLCRef.store_ty_lookup [definition, in References]
STLCRef.store_weakening [lemma, in References]
STLCRef.store_well_typed [definition, in References]
STLCRef.store_well_typed_snoc [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.tm [inductive, in References]
STLCRef.tm_abs [constructor, in References]
STLCRef.tm_app [constructor, in References]
STLCRef.tm_assign [constructor, in References]
STLCRef.tm_deref [constructor, in References]
STLCRef.tm_if0 [constructor, in References]
STLCRef.tm_loc [constructor, in References]
STLCRef.tm_mult [constructor, in References]
STLCRef.tm_nat [constructor, in References]
STLCRef.tm_pred [constructor, in References]
STLCRef.tm_ref [constructor, in References]
STLCRef.tm_seq [definition, in References]
STLCRef.tm_succ [constructor, in References]
STLCRef.tm_unit [constructor, in References]
STLCRef.tm_var [constructor, in References]
STLCRef.ty [inductive, in References]
STLCRef.ty_arrow [constructor, in References]
STLCRef.ty_nat [constructor, in References]
STLCRef.ty_ref [constructor, in References]
STLCRef.ty_unit [constructor, 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._r [definition, in References]
STLCRef._s [definition, in References]
STLCRef._x [definition, in References]
STLCRef._y [definition, in References]
STLC.A [abbreviation, in Stlc]
STLC.a [abbreviation, in Stlc]
STLC.afi_abs [constructor, in Stlc]
STLC.afi_app1 [constructor, in Stlc]
STLC.afi_app2 [constructor, in Stlc]
STLC.afi_var [constructor, in Stlc]
STLC.appears_free_in [inductive, in Stlc]
STLC.b [abbreviation, in Stlc]
STLC.B [abbreviation, in Stlc]
STLC.c [abbreviation, in Stlc]
STLC.C [abbreviation, in Stlc]
STLC.closed [definition, in Stlc]
STLC.context [definition, in Stlc]
STLC.context_invariance [lemma, in Stlc]
STLC.empty [definition, in Stlc]
STLC.extend [definition, in Stlc]
STLC.extend_eq [lemma, in Stlc]
STLC.extend_neq [lemma, in Stlc]
STLC.free_in_context [lemma, in Stlc]
STLC.has_type [inductive, in Stlc]
STLC.id_A [abbreviation, in Stlc]
STLC.id_AarrowA [abbreviation, in Stlc]
STLC.id_AarrowA_arrow_AarrowA [abbreviation, in Stlc]
STLC.k [abbreviation, in Stlc]
STLC.partial_map [definition, in Stlc]
STLC.preservation [lemma, in Stlc]
STLC.progress [lemma, in Stlc]
STLC.progress' [lemma, in Stlc]
STLC.step [inductive, in Stlc]
STLC.stepmany [abbreviation, 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.ST_AppAbs [constructor, in Stlc]
STLC.ST_App1 [constructor, in Stlc]
STLC.ST_App2 [constructor, in Stlc]
STLC.subst [definition, in Stlc]
STLC.substitution_preserves_typing [lemma, in Stlc]
STLC.tm [inductive, in Stlc]
STLC.tm_abs [constructor, in Stlc]
STLC.tm_app [constructor, in Stlc]
STLC.tm_var [constructor, in Stlc]
STLC.ty [inductive, in Stlc]
STLC.typable_empty__closed [lemma, 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_2 [definition, in Stlc]
STLC.typing_nonexample_3 [definition, in Stlc]
STLC.ty_arrow [constructor, in Stlc]
STLC.ty_base [constructor, in Stlc]
STLC.T_Abs [constructor, in Stlc]
STLC.T_App [constructor, in Stlc]
STLC.T_Var [constructor, in Stlc]
STLC.value [inductive, in Stlc]
STLC.v_abs [constructor, in Stlc]
strange_prop1 [definition, in Ind]
strange_prop2 [definition, in Ind]
string_of_list [definition, in ImpParser]
stuck [definition, in Stlc]
ST_AppAbs [constructor, in Subtyping]
ST_AppAbs [constructor, in Records]
ST_App1 [constructor, in Records]
ST_App1 [constructor, in Subtyping]
ST_App2 [constructor, in Subtyping]
ST_App2 [constructor, in Records]
ST_If [constructor, in Stlc]
ST_IfFalse [constructor, in Stlc]
ST_IfTrue [constructor, in Stlc]
ST_Iszero [constructor, in Stlc]
ST_IszeroSucc [constructor, in Stlc]
ST_IszeroZero [constructor, in Stlc]
ST_PlusConstConst [constructor, in Smallstep]
ST_Plus1 [constructor, in Smallstep]
ST_Plus2 [constructor, in Smallstep]
ST_Pred [constructor, in Stlc]
ST_PredSucc [constructor, in Stlc]
ST_PredZero [constructor, in Stlc]
ST_ProjRcd [constructor, in Records]
ST_Proj1 [constructor, in Records]
ST_Rcd_Head [constructor, in Records]
ST_Rcd_Tail [constructor, in Records]
ST_Succ [constructor, in Stlc]
subst [definition, in Records]
subst [definition, in Subtyping]
substitution_preserves_typing [lemma, in Subtyping]
substitution_preserves_typing [lemma, in Records]
subst_aexp [definition, in Equiv]
subst_aexp_ex [definition, in Equiv]
subst_equiv_property [definition, in Equiv]
subst_inequiv [lemma, in Equiv]
subtract_slowly [definition, in Hoare]
subtract_slowly [definition, in Imp]
subtract_slowly_body [definition, in Imp]
subtract_slowly_correct [lemma, in Hoare]
subtract_slowly_dec [definition, in MoreHoare]
subtract_slowly_dec_correct [lemma, in MoreHoare]
subtract_slowly_invariant [definition, in Hoare]
subtract_3_from_5_slowly [definition, in Imp]
subtype [inductive, in Records]
subtype [inductive, in Subtyping]
subtype__wf [lemma, in Records]
Subtyping [library]
sub_inversion_arrow [lemma, in Subtyping]
sub_inversion_arrow [lemma, in Records]
succ_hastype_nat__hastype_nat [definition, in Stlc]
sum [definition, in MoreHoare]
sum_program [definition, in MoreHoare]
sum_program_spec [definition, in MoreHoare]
sunday [constructor, in Basics]
swap_if_branches [lemma, in Equiv]
symmetric [definition, in Rel]
sym_aequiv [lemma, in Equiv]
sym_bequiv [lemma, in Equiv]
sym_cequiv [lemma, in Equiv]
S_Arrow [constructor, in Records]
S_Arrow [constructor, in Subtyping]
s_compile [definition, in Imp]
s_compile_correct [lemma, in Imp]
s_execute [definition, in Imp]
s_execute1 [definition, in Imp]
s_execute2 [definition, in Imp]
S_inj [lemma, in Poly]
S_le__S [lemma, in Hoare]
S_nbeq_0 [lemma, in Basics]
S_RcdDepth [constructor, in Records]
S_RcdPerm [constructor, in Records]
S_RcdWidth [constructor, in Records]
S_Refl [constructor, in Subtyping]
S_Refl [constructor, in Records]
S_Top [constructor, in Subtyping]
S_Top [constructor, in Records]
S_Trans [constructor, in Subtyping]
S_Trans [constructor, in Records]


T

tail [definition, in MoreHoare]
teen [definition, in Ind]
Template [library]
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]
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]
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]
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.progress [lemma, in Smallstep]
Temp4.step [inductive, in Smallstep]
Temp4.step_deterministic [lemma, in Smallstep]
Temp4.ST_If [constructor, in Smallstep]
Temp4.ST_IfFalse [constructor, in Smallstep]
Temp4.ST_IfTrue [constructor, 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.tm [inductive, in Smallstep]
Temp4.tm_false [constructor, in Smallstep]
Temp4.tm_if [constructor, in Smallstep]
Temp4.tm_true [constructor, in Smallstep]
Temp4.value [inductive, in Smallstep]
Temp4.v_false [constructor, in Smallstep]
Temp4.v_true [constructor, in Smallstep]
Temp5 [module, in Smallstep]
test_andb31 [definition, in Basics]
test_andb32 [definition, in Basics]
test_andb33 [definition, in Basics]
test_andb34 [definition, in Basics]
test_anon_fun [definition, in Poly]
test_anon_fun' [definition, in Poly]
test_ble_nat1 [definition, in Basics]
test_ble_nat2 [definition, in Basics]
test_ble_nat3 [definition, in Basics]
test_blt_nat1 [definition, in Basics]
test_blt_nat2 [definition, in Basics]
test_blt_nat3 [definition, in Basics]
test_ceval [definition, in Imp]
test_countoddmembers'1 [definition, in Poly]
test_countoddmembers'2 [definition, in Poly]
test_countoddmembers'3 [definition, in Poly]
test_doit3times [definition, in Poly]
test_doit3times' [definition, in Poly]
test_factorial1 [definition, in Basics]
test_factorial2 [definition, in Basics]
test_filter1 [definition, in Poly]
test_filter2 [definition, in Poly]
test_filter2' [definition, in Poly]
test_flat_map1 [definition, in Poly]
test_fold_length1 [definition, in Poly]
test_hd_opt1 [definition, in Poly]
test_hd_opt2 [definition, in Poly]
test_index1 [definition, in Poly]
test_index2 [definition, in Poly]
test_index3 [definition, in Poly]
test_length1 [definition, in Poly]
test_length2 [definition, in Poly]
test_le1 [lemma, in Logic]
test_le2 [lemma, in Logic]
test_le3 [lemma, in Logic]
test_map1 [definition, in Poly]
test_map2 [definition, in Poly]
test_map3 [definition, in Poly]
test_mult1 [definition, in Basics]
test_nandb1 [definition, in Basics]
test_nandb2 [definition, in Basics]
test_nandb3 [definition, in Basics]
test_nandb4 [definition, in Basics]
test_next_weekday [definition, in Basics]
test_oddb1 [definition, in Basics]
test_oddb2 [definition, in Basics]
test_orb1 [definition, in Basics]
test_orb2 [definition, in Basics]
test_orb3 [definition, in Basics]
test_orb4 [definition, in Basics]
test_partition1 [definition, in Poly]
test_partition2 [definition, in Poly]
test_plus3 [definition, in Poly]
test_plus3' [definition, in Poly]
test_plus3'' [definition, in Poly]
test_repeat1 [definition, in Poly]
test_rev1 [definition, in Poly]
test_rev2 [definition, in Poly]
test_stepmany_1 [lemma, in Smallstep]
test_stepmany_1' [lemma, in Smallstep]
test_stepmany_2 [lemma, in Smallstep]
test_stepmany_3 [lemma, in Smallstep]
test_stepmany_4 [lemma, in Smallstep]
thursday [constructor, in Basics]
tm [inductive, in Subtyping]
tm [inductive, in Stlc]
tm [inductive, in Smallstep]
tm [inductive, in Records]
tm_abs [constructor, in Subtyping]
tm_abs [constructor, in Records]
tm_app [constructor, in Records]
tm_app [constructor, in Subtyping]
tm_const [constructor, in Smallstep]
tm_false [constructor, in Stlc]
tm_if [constructor, in Stlc]
tm_iszero [constructor, in Stlc]
tm_lookup [definition, in Records]
tm_plus [constructor, in Smallstep]
tm_pred [constructor, in Stlc]
tm_proj [constructor, in Records]
tm_rcons [constructor, in Records]
tm_rnil [constructor, in Records]
tm_succ [constructor, in Stlc]
tm_true [constructor, in Stlc]
tm_unit [constructor, in Subtyping]
tm_var [constructor, in Records]
tm_var [constructor, in Subtyping]
tm_zero [constructor, in Stlc]
token [definition, in ImpParser]
tokenize [definition, in ImpParser]
tokenize_ex1 [definition, in ImpParser]
tokenize_helper [definition, in ImpParser]
tot [constructor, in SfLib]
total_relation [inductive, in SfLib]
transitive [definition, in Rel]
trans_aequiv [lemma, in Equiv]
trans_bequiv [lemma, in Equiv]
trans_cequiv [lemma, in Equiv]
trans_eq [lemma, in Poly]
trans_eq_example [definition, in Poly]
trans_eq_example' [definition, in Poly]
trans_eq_exercise [definition, in Poly]
tree [inductive, in Ind]
true [constructor, in Basics]
true_for_all_numbers [definition, in Ind]
true_for_n__true_for_Sn [definition, in Ind]
true_for_zero [definition, in Ind]
tuesday [constructor, in Basics]
ty [inductive, in Records]
ty [inductive, in Stlc]
ty [inductive, in Subtyping]
typing_inversion_abs [lemma, in Records]
typing_inversion_abs [lemma, in Subtyping]
typing_inversion_app [lemma, in Subtyping]
typing_inversion_app [lemma, in Records]
typing_inversion_proj [lemma, in Records]
typing_inversion_rcons [lemma, in Records]
typing_inversion_unit [lemma, in Subtyping]
typing_inversion_var [lemma, in Records]
typing_inversion_var [lemma, in Subtyping]
ty_arrow [constructor, in Records]
ty_arrow [constructor, in Subtyping]
ty_base [constructor, in Subtyping]
ty_base [constructor, in Records]
ty_bool [constructor, in Stlc]
ty_lookup [definition, in Records]
ty_nat [constructor, in Stlc]
ty_rcons [constructor, in Records]
ty_rnil [constructor, in Records]
ty_top [constructor, in Subtyping]
ty_top [constructor, in Records]
ty_unit [constructor, in Subtyping]
T_Abs [constructor, in Subtyping]
T_Abs [constructor, in Records]
T_App [constructor, in Records]
T_App [constructor, in Subtyping]
T_False [constructor, in Stlc]
T_If [constructor, in Stlc]
T_Iszero [constructor, in Stlc]
T_Pred [constructor, in Stlc]
T_Proj [constructor, in Records]
T_RCons [constructor, in Records]
T_RNil [constructor, in Records]
T_Sub [constructor, in Records]
T_Sub [constructor, in Subtyping]
T_Succ [constructor, in Stlc]
T_True [constructor, in Stlc]
T_Unit [constructor, in Subtyping]
T_Var [constructor, in Subtyping]
T_Var [constructor, in Records]
T_Zero [constructor, in Stlc]


U

uncurry_curry [lemma, in Poly]
unfold_example [lemma, in Poly]
unfold_example_bad [lemma, in Poly]
update [definition, in Imp]
update [definition, in MoreHoare]
update_eq [lemma, in Imp]
update_eq [lemma, in MoreHoare]
update_example [lemma, in Imp]
update_neq [lemma, in Imp]
update_neq [lemma, in MoreHoare]
update_permute [lemma, in MoreHoare]
update_permute [lemma, in Imp]
update_same [lemma, in Imp]
update_same [lemma, in MoreHoare]
update_shadow [lemma, in MoreHoare]
update_shadow [lemma, in Imp]


V

val [inductive, in MoreHoare]
value [inductive, in Smallstep]
value [definition, in Stlc]
value [inductive, in Subtyping]
value [inductive, in Records]
value_is_nf [lemma, in Smallstep]
value_is_nf [lemma, in Stlc]
verification_conditions [definition, in MoreHoare]
verification_correct [lemma, in MoreHoare]
VList [constructor, in MoreHoare]
VNat [constructor, in MoreHoare]
v_abs [constructor, in Subtyping]
v_abs [constructor, in Records]
v_const [constructor, in Smallstep]
v_rcons [constructor, in Records]
v_rnil [constructor, in Records]
v_unit [constructor, in Subtyping]


W

wednesday [constructor, in Basics]
well_formed_ty [inductive, in Records]
wfty_arrow [constructor, in Records]
wfty_base [constructor, in Records]
wfty_rcons [constructor, in Records]
wfty_rnil [constructor, in Records]
wfty_top [constructor, in Records]
wf_rcd_lookup [lemma, in Records]
WHILE_congruence [lemma, in Equiv]
WHILE_false [lemma, in Equiv]
WHILE_true [lemma, in Equiv]
WHILE_true_nonterm [lemma, in Equiv]
white [constructor, in ImpParser]


X

X [definition, in MoreHoare]
X [definition, in Imp]
XtimesYinZ [definition, in Imp]


Y

Y [definition, in MoreHoare]
Y [definition, in Imp]
yes [constructor, in Ind]
yesno [inductive, in Ind]


Z

Z [definition, in Imp]
Z [definition, in MoreHoare]
zero_nbeq_plus_1 [lemma, in Basics]
zero_nbeq_S [lemma, in Basics]



Lemma Index

A

abs_arrow [in Subtyping]
abs_arrow [in Records]
aequiv_example [in Equiv]
AExp.foo [in Imp]
AExp.foo' [in Imp]
AExp.optimize_0plus_sound [in Imp]
AExp.optimize_0plus_sound' [in Imp]
AExp.optimize_0plus_sound'' [in Imp]
AExp.optimize_0plus_sound''' [in Imp]
all3_spec [in Basics]
andb_false [in Logic]
andb_false_r [in Basics]
andb_true [in SfLib]
andb_true_elim1 [in SfLib]
andb_true_elim1 [in Basics]
andb_true_elim2 [in Basics]
andb_true_elim2 [in SfLib]
andb_true__and [in Logic]
and_assoc [in Logic]
and_commut [in Logic]
and_example [in Logic]
and_example' [in Logic]
and__andb_true [in Logic]
appears_in_snoc1 [in MoreHoare]
appears_in_snoc2 [in MoreHoare]
appears_in_snoc3 [in MoreHoare]
append_nil [in MoreHoare]
append_singleton_equation [in MoreHoare]
app_length_cons [in Ind]
app_length_twice [in Ind]
auto_example_1 [in Stlc]
auto_example_2 [in Stlc]
auto_example_3 [in Stlc]


B

bequiv_example [in Equiv]
beq_false_not_eq [in Logic]
beq_id_eq [in MoreHoare]
beq_id_eq [in Imp]
beq_id_false_not_eq [in MoreHoare]
beq_id_false_not_eq [in Imp]
beq_id_refl [in Imp]
beq_id_refl [in MoreHoare]
beq_nat_eq [in Poly]
beq_nat_eq' [in Poly]
beq_nat_refl [in Basics]
beq_nat_refl [in MoreHoare]
beq_nat_trans [in Poly]
beq_nat_0_l [in Poly]
beq_nat_0_r [in Poly]
beq_true__eq [in MoreHoare]
bexp_eval_false [in Hoare]
bexp_eval_false [in MoreHoare]
bexp_eval_true [in MoreHoare]
bexp_eval_true [in Hoare]
ble_nat_false [in Logic]
ble_nat_false [in SfLib]
ble_nat_n_Sn_false [in Logic]
ble_nat_refl [in Basics]
ble_nat_true [in Logic]
ble_nat_true [in SfLib]


C

canonical_forms_of_arrow_types [in Subtyping]
canonical_forms_of_arrow_types [in Records]
CAss_congruence [in Equiv]
cequiv_state [in Equiv]
ceval_and_ceval_step_coincide [in Imp]
ceval_deterministic [in Imp]
ceval_deterministic' [in Imp]
ceval_step_more [in Imp]
ceval_step__ceval [in Imp]
ceval__ceval_step [in Imp]
context_invariance [in Records]
context_invariance [in Subtyping]
contradiction_implies_anything [in Logic]
contrapositive [in Logic]
CSeq_congruence [in Equiv]
curry_uncurry [in Poly]


D

dec_while_correct [in MoreHoare]
dist_exists_or [in Logic]
dist_not_exists [in Logic]
double_even [in Ind]
double_injective [in Poly]
double_injective' [in Ind]
double_injective_FAILED [in Ind]
double_injective_take2 [in Ind]
double_injective_take2_FAILED [in Ind]
double_neg [in Logic]


E

eqnat_false_S [in Ind]
eq_add_S [in Poly]
eval__stepmany [in Smallstep]
eval__value [in Smallstep]
evenb_n__oddb_Sn [in Basics]
even5_nonsense [in Ind]
even_ev [in Logic]
ev_even [in Ind]
ev_even' [in Ind]
ev_ev_even [in Ind]
ev_minus2 [in Ind]
ev_minus2' [in Ind]
ev_MyProp [in Ind]
ev_MyProp' [in Ind]
ev_not_ev_S [in Logic]
ev_not_ev_S [in SfLib]
ev_sum [in Ind]
exists_example_2 [in Logic]
ex_falso_quodlibet [in SfLib]
ex_falso_quodlibet [in Logic]


F

Factorial.fact_com_correct [in Hoare]
fact_body_preserves_invariant [in Equiv]
fact_com_correct [in Equiv]
fact_loop_preserves_invariant [in Equiv]
False_implies_nonsense [in Logic]
fdfs_wed [in Ind]
filter_exercise [in Poly]
find_parity_correct [in Hoare]
five_not_even [in Logic]
fold_constants_aexp_sound [in Equiv]
fold_constants_aexp_sound' [in Equiv]
fold_constants_bexp_sound [in Equiv]
fold_constants_com_sound [in Equiv]
fold_length_correct [in Poly]
free_in_context [in Subtyping]
free_in_context [in Records]


G

gds [in Ind]
guard_false_after_loop [in Equiv]


H

has_type__wf [in Records]
hoare_asgn [in MoreHoare]
hoare_asgn [in Hoare]
hoare_asgn_eq [in Hoare]
hoare_asgn_eq [in MoreHoare]
hoare_asgn_weakest [in Hoare]
hoare_consequence [in MoreHoare]
hoare_consequence [in Hoare]
hoare_consequence_post [in Hoare]
hoare_consequence_post [in MoreHoare]
hoare_consequence_pre [in Hoare]
hoare_consequence_pre [in MoreHoare]
hoare_if [in Hoare]
hoare_if [in MoreHoare]
hoare_post_true [in Hoare]
hoare_pre_false [in Hoare]
hoare_seq [in MoreHoare]
hoare_seq [in Hoare]
hoare_skip [in Hoare]
hoare_skip [in MoreHoare]
hoare_while [in Hoare]
hoare_while [in MoreHoare]


I

IFB_congruence [in Equiv]
IFB_false [in Equiv]
IFB_true [in Equiv]
IFB_true_simple [in Equiv]
iff_implies [in Logic]
iff_refl [in Logic]
iff_sym [in Logic]
iff_trans [in Equiv]
iff_trans [in Logic]
index_after_last [in Ind]
inequiv_exercise [in Equiv]


L

length_snoc' [in Poly]
length_snoc''' [in Ind]
le_antisymmetric [in Rel]
le_not_a_partial_function [in Rel]
le_not_symmetric [in Rel]
le_order [in Rel]
le_plus_l [in Logic]
le_reflexive [in Rel]
le_Sn_le [in Rel]
le_Sn_n [in Rel]
le_step [in Rel]
le_S_n [in Rel]
le_trans [in Rel]
list_member_correct [in MoreHoare]
list_member_correct' [in MoreHoare]
lookup_field_in_value [in Records]
loop_never_stops [in Imp]
loop_unrolling [in Equiv]
lt_S [in Logic]
lt_trans [in Rel]
lt_trans' [in Rel]
lt_trans'' [in Rel]


M

map_rev [in Poly]
minus_diag [in Basics]
minus_pred [in Hoare]
mult_assoc [in Basics]
mult_comm [in Basics]
mult_plus_distr_r [in Basics]
mult_0_l [in Basics]
mult_0_plus [in Basics]
mult_0_plus' [in Basics]
mult_0_r [in Basics]
mult_0_r' [in Ind]
mult_0_r'' [in Ind]
mult_1_l [in Basics]
mult_1_plus [in Basics]
MyEquality.two_defs_of_eq_coincide [in Logic]
MyProp_ev [in Ind]
MyProp_plustwo [in Ind]
MyProp_ten [in Ind]
MyProp_0 [in Ind]


N

NatList.app_length [in Lists]
NatList.app_nil_end [in Lists]
NatList.ass_app [in Lists]
NatList.ass_app' [in Lists]
NatList.ass_app4 [in Lists]
NatList.beq_natlist_refl [in Lists]
NatList.beq_nat_sym [in Lists]
NatList.ble_n_Sn [in Lists]
NatList.count_member_nonzero [in Lists]
NatList.distr_rev [in Lists]
NatList.fst_swap_is_snd [in Lists]
NatList.length_snoc [in Lists]
NatList.nil_app [in Lists]
NatList.nonzeros_length [in Lists]
NatList.option_elim_hd [in Lists]
NatList.remove_decreases_count [in Lists]
NatList.rev_exercise1 [in Lists]
NatList.rev_involutive [in Lists]
NatList.rev_length [in Lists]
NatList.rev_length_firsttry [in Lists]
NatList.silly1 [in Lists]
NatList.silly2 [in Lists]
NatList.silly2a [in Lists]
NatList.silly3 [in Lists]
NatList.silly3_firsttry [in Lists]
NatList.silly_ex [in Lists]
NatList.snd_fst_is_swap [in Lists]
NatList.snoc_append [in Lists]
NatList.surjective_pairing [in Lists]
NatList.surjective_pairing' [in Lists]
NatList.surjective_pairing_stuck [in Lists]
NatList.tl_length_pred [in Lists]
negb_involutive [in Basics]
neq0_not_true__eq_0 [in Hoare]
neq0_true__eq_S [in Hoare]
next_nat_closure_is_le [in Rel]
next_nat_partial_function [in Rel]
nf_is_value [in Smallstep]
nil_app [in Poly]
nonsense_implies_False [in Logic]
normal_forms_unique [in Smallstep]
not_both_true_and_false [in Logic]
not_eq_beq_false [in SfLib]
not_eq_beq_false [in Logic]
not_eq_beq_id_false [in Imp]
not_eq_beq_id_false [in MoreHoare]
not_ev_ev_S [in Hoare]
not_ev_ev_S_gen [in Hoare]
not_exists_dist [in Logic]
not_False [in Logic]
not_false_then_true [in Logic]
no_whiles_eqv [in Imp]
n_le_m__Sn_le_Sm [in Logic]


O

okdw' [in Ind]
okd_before2_valid [in Ind]
orb_false [in Logic]
orb_true [in Logic]
or_commut [in Logic]
or_commut' [in Logic]
or_distributes_over_and [in Logic]
or_distributes_over_and_1 [in Logic]
or_distributes_over_and_2 [in Logic]
override_eq [in Poly]
override_example [in Poly]
override_neq [in Poly]
override_permute [in Poly]
override_same [in Poly]
override_shadow [in Poly]
O_le_n [in Logic]


P

plus2_spec [in Imp]
plus_assoc [in Basics]
plus_assoc' [in Basics]
plus_assoc' [in Ind]
plus_ble_compat_l [in Basics]
plus_comm [in Basics]
plus_comm' [in Ind]
plus_comm'' [in Ind]
plus_fact_is_true [in Ind]
plus_id_example [in Basics]
plus_id_exercise [in Basics]
plus_lt [in Logic]
plus_n_n_injective [in Poly]
plus_n_n_injective_take2 [in Ind]
plus_n_Sm [in Basics]
plus_one_r' [in Ind]
plus_O_n [in Basics]
plus_O_n' [in Basics]
plus_O_n'' [in Basics]
plus_rearrange [in Basics]
plus_rearrange_firsttry [in Basics]
plus_swap [in Basics]
plus_swap' [in Basics]
plus_0_r [in Basics]
plus_0_r_firsttry [in Basics]
plus_0_r_secondtry [in Basics]
plus_1_l [in Basics]
plus_1_neq_0 [in Basics]
plus_1_neq_0_firsttry [in Basics]
plus_2_2_is_4 [in Ind]
preservation [in Subtyping]
preservation [in Stlc]
preservation [in Records]
preservation' [in Stlc]
progress [in Stlc]
progress [in Subtyping]
progress [in Records]
progress [in Smallstep]
proj1 [in Logic]
proj2 [in Logic]


R

random_fact_1 [in Hoare]
random_fact_2 [in Hoare]
rcd_types_match [in Records]
reduce_to_zero_correct [in Hoare]
refl_aequiv [in Equiv]
refl_bequiv [in Equiv]
refl_cequiv [in Equiv]
rev_equation [in MoreHoare]
rev_snoc [in Poly]
rsc_R [in Rel]
rsc_R [in SfLib]
rsc_trans [in SfLib]
rsc_trans [in Rel]
rtc_rsc_coincide [in Rel]


S

seq_assoc [in Equiv]
sillyfun1_odd [in Poly]
sillyfun1_odd_FAILED [in Poly]
sillyfun_false [in Poly]
silly3' [in Poly]
silly4 [in Poly]
silly5 [in Poly]
silly6 [in Poly]
silly7 [in Poly]
SimpleArith2.step_deterministic [in Smallstep]
skip_left [in Equiv]
skip_right [in Equiv]
snoc_equation [in MoreHoare]
snoc_with_append [in Poly]
soundness [in Stlc]
sqrt_com_correct [in Hoare]
SSev_even [in Ind]
SSev_ev_firsttry [in Ind]
SSSSev_even [in Ind]
stepmany_congr_1 [in Smallstep]
stepmany_congr_2 [in Smallstep]
stepmany_iff_eval [in Smallstep]
stepmany__eval [in Smallstep]
step_deterministic [in Stlc]
step_deterministic [in Smallstep]
step_normalizing [in Smallstep]
step_preserves_record_tm [in Records]
step__eval [in Smallstep]
STLCChecker.beq_ty_refl [in MoreStlc]
STLCChecker.beq_ty__eq [in MoreStlc]
STLCChecker.type_checking_complete [in MoreStlc]
STLCChecker.type_checking_sound [in MoreStlc]
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]
STLCRef.assign_pres_store_typing [in References]
STLCRef.context_invariance [in References]
STLCRef.extends_lookup [in References]
STLCRef.extends_refl [in References]
STLCRef.extends_snoc [in References]
STLCRef.extend_eq [in References]
STLCRef.extend_neq [in References]
STLCRef.extend_shadow [in References]
STLCRef.factorial_type [in References]
STLCRef.free_in_context [in References]
STLCRef.length_extends [in References]
STLCRef.length_replace [in References]
STLCRef.length_snoc [in References]
STLCRef.lookup_replace_eq [in References]
STLCRef.lookup_replace_neq [in References]
STLCRef.loop_fun_step_self [in References]
STLCRef.loop_steps_to_loop_fun [in References]
STLCRef.loop_typeable [in References]
STLCRef.nth_eq_snoc [in References]
STLCRef.nth_lt_snoc [in References]
STLCRef.preservation [in References]
STLCRef.preservation_wrong1 [in References]
STLCRef.preservation_wrong2 [in References]
STLCRef.progress [in References]
STLCRef.replace_nil [in References]
STLCRef.store_weakening [in References]
STLCRef.store_well_typed_snoc [in References]
STLCRef.substitution_preserves_typing [in References]
STLC.context_invariance [in Stlc]
STLC.extend_eq [in Stlc]
STLC.extend_neq [in Stlc]
STLC.free_in_context [in Stlc]
STLC.preservation [in Stlc]
STLC.progress [in Stlc]
STLC.progress' [in Stlc]
STLC.step_example1 [in Stlc]
STLC.step_example2 [in Stlc]
STLC.step_example2' [in Stlc]
STLC.step_example3 [in Stlc]
STLC.substitution_preserves_typing [in Stlc]
STLC.typable_empty__closed [in Stlc]
substitution_preserves_typing [in Subtyping]
substitution_preserves_typing [in Records]
subst_inequiv [in Equiv]
subtract_slowly_correct [in Hoare]
subtract_slowly_dec_correct [in MoreHoare]
subtype__wf [in Records]
sub_inversion_arrow [in Subtyping]
sub_inversion_arrow [in Records]
swap_if_branches [in Equiv]
sym_aequiv [in Equiv]
sym_bequiv [in Equiv]
sym_cequiv [in Equiv]
s_compile_correct [in Imp]
S_inj [in Poly]
S_le__S [in Hoare]
S_nbeq_0 [in Basics]


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.progress [in Smallstep]
Temp4.step_deterministic [in Smallstep]
test_le1 [in Logic]
test_le2 [in Logic]
test_le3 [in Logic]
test_stepmany_1 [in Smallstep]
test_stepmany_1' [in Smallstep]
test_stepmany_2 [in Smallstep]
test_stepmany_3 [in Smallstep]
test_stepmany_4 [in Smallstep]
trans_aequiv [in Equiv]
trans_bequiv [in Equiv]
trans_cequiv [in Equiv]
trans_eq [in Poly]
typing_inversion_abs [in Records]
typing_inversion_abs [in Subtyping]
typing_inversion_app [in Subtyping]
typing_inversion_app [in Records]
typing_inversion_proj [in Records]
typing_inversion_rcons [in Records]
typing_inversion_unit [in Subtyping]
typing_inversion_var [in Records]
typing_inversion_var [in Subtyping]


U

uncurry_curry [in Poly]
unfold_example [in Poly]
unfold_example_bad [in Poly]
update_eq [in Imp]
update_eq [in MoreHoare]
update_example [in Imp]
update_neq [in Imp]
update_neq [in MoreHoare]
update_permute [in MoreHoare]
update_permute [in Imp]
update_same [in Imp]
update_same [in MoreHoare]
update_shadow [in MoreHoare]
update_shadow [in Imp]


V

value_is_nf [in Smallstep]
value_is_nf [in Stlc]
verification_correct [in MoreHoare]


W

wf_rcd_lookup [in Records]
WHILE_congruence [in Equiv]
WHILE_false [in Equiv]
WHILE_true [in Equiv]
WHILE_true_nonterm [in Equiv]


Z

zero_nbeq_plus_1 [in Basics]
zero_nbeq_S [in Basics]



Constructor Index

A

ACons [in MoreHoare]
AExp.AMinus [in Imp]
AExp.AMult [in Imp]
AExp.ANum [in Imp]
AExp.APlus [in Imp]
AExp.BAnd [in Imp]
AExp.BEq [in Imp]
AExp.BFalse [in Imp]
AExp.BLe [in Imp]
AExp.BNot [in Imp]
AExp.BTrue [in Imp]
afi_abs [in Subtyping]
afi_abs [in Records]
afi_app1 [in Records]
afi_app1 [in Subtyping]
afi_app2 [in Records]
afi_app2 [in Subtyping]
afi_proj [in Records]
afi_rhead [in Records]
afi_rtail [in Records]
afi_var [in Subtyping]
afi_var [in Records]
AHead [in MoreHoare]
AId [in MoreHoare]
AId [in Imp]
ai_here [in MoreHoare]
ai_here [in Logic]
ai_later [in MoreHoare]
ai_later [in Logic]
alpha [in ImpParser]
AMinus [in Imp]
AMinus [in MoreHoare]
AMult [in MoreHoare]
AMult [in Imp]
ANil [in MoreHoare]
ANum [in MoreHoare]
ANum [in Imp]
APlus [in MoreHoare]
APlus [in Imp]
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]
ATail [in MoreHoare]
av_num [in Smallstep]


B

BAnd [in Imp]
BAnd [in MoreHoare]
BEq [in MoreHoare]
BEq [in Imp]
BFalse [in MoreHoare]
BFalse [in Imp]
BIsCons [in MoreHoare]
BLe [in MoreHoare]
BLe [in Imp]
blue [in Ind]
BNot [in MoreHoare]
BNot [in Imp]
bool_cons [in Poly]
bool_nil [in Poly]
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]
BTrue [in Imp]
BTrue [in MoreHoare]
bv_false [in Stlc]
bv_true [in Stlc]


C

CAss [in MoreHoare]
CAss [in Imp]
CEvalFirstTry.E_Ass [in Imp]
CEvalFirstTry.E_IfFalse [in Imp]
CEvalFirstTry.E_IfTrue [in Imp]
CEvalFirstTry.E_Seq [in Imp]
CEvalFirstTry.E_Skip [in Imp]
CEvalFirstTry.E_WhileEnd [in Imp]
CEvalFirstTry.E_WhileLoop [in Imp]
CIf [in Imp]
CIf [in MoreHoare]
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]
CImp.rsc4_refl [in Smallstep]
CImp.rsc4_step [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.tm_const [in Smallstep]
Combined.tm_false [in Smallstep]
Combined.tm_if [in Smallstep]
Combined.tm_plus [in Smallstep]
Combined.tm_true [in Smallstep]
Combined.v_const [in Smallstep]
Combined.v_false [in Smallstep]
Combined.v_true [in Smallstep]
conj [in Logic]
cons [in Poly]
CSeq [in Imp]
CSeq [in MoreHoare]
CSkip [in Imp]
CSkip [in MoreHoare]
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]
CWhile [in MoreHoare]
CWhile [in Imp]
C1 [in Ind]
C2 [in Ind]


D

db_fri [in Ind]
db_mon [in Ind]
db_sat [in Ind]
db_sun [in Ind]
db_thu [in Ind]
db_tue [in Ind]
db_wed [in Ind]
DCAsgn [in MoreHoare]
DCIf [in MoreHoare]
DCPost [in MoreHoare]
DCPre [in MoreHoare]
DCSeq [in MoreHoare]
DCSkip [in MoreHoare]
DCWhile [in MoreHoare]
digit [in ImpParser]


E

ev_SS [in Ind]
ev_SS [in SfLib]
ev_0 [in Ind]
ev_0 [in SfLib]
ExFirstTry.ex_intro [in Logic]
ex_intro [in Logic]
E_Ass [in MoreHoare]
E_Ass [in Imp]
E_Const [in Smallstep]
E_IfFalse [in Imp]
E_IfFalse [in MoreHoare]
E_IfTrue [in Imp]
E_IfTrue [in MoreHoare]
E_Plus [in Smallstep]
E_Seq [in MoreHoare]
E_Seq [in Imp]
E_Skip [in Imp]
E_Skip [in MoreHoare]
E_WhileEnd [in Imp]
E_WhileEnd [in MoreHoare]
E_WhileLoop [in MoreHoare]
E_WhileLoop [in Imp]


F

false [in Basics]
fdfs_any [in Ind]
friday [in Basics]


G

gd_sat [in Ind]
gd_sun [in Ind]
green [in Ind]


I

Id [in Imp]
Id [in MoreHoare]


L

leaf [in Ind]
LeFirstTry.le_n [in Logic]
LeFirstTry.le_S [in Logic]
le_n [in Logic]
le_S [in Logic]


M

monday [in Basics]
MumbleBaz.a [in Poly]
MumbleBaz.b [in Poly]
MumbleBaz.c [in Poly]
MumbleBaz.d [in Poly]
MumbleBaz.e [in Poly]
MumbleBaz.x [in Poly]
MumbleBaz.y [in Poly]
MyEquality.refl_equal [in Logic]
MyEquality.refl_equal' [in Logic]
MyProp1 [in Ind]
MyProp2 [in Ind]
MyProp3 [in Ind]


N

NatList.cons [in Lists]
NatList.nil [in Lists]
NatList.None [in Lists]
NatList.pair [in Lists]
NatList.Some [in Lists]
ncons [in Ind]
ne_1 [in Logic]
ne_2 [in Logic]
nil [in Poly]
nn [in Logic]
nn [in SfLib]
nnil [in Ind]
nnil1 [in Ind]
no [in Ind]
node [in Ind]
None [in Poly]
NoneE [in ImpParser]
nsnoc1 [in Ind]
nv_succ [in Stlc]
nv_zero [in Stlc]


O

okd_before [in Ind]
okd_gd [in Ind]
or_introl [in Logic]
or_intror [in Logic]
other [in ImpParser]


P

pair [in Poly]
Playground1.O [in Basics]
Playground1.S [in Basics]
P.c1 [in Ind]
P.c2 [in Ind]
P.c3 [in Ind]


R

red [in Ind]
RepeatExercise.CAss [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_WhileEnd [in Hoare]
RepeatExercise.E_WhileLoop [in Hoare]
rsc_refl [in SfLib]
rsc_refl [in Rel]
rsc_step [in SfLib]
rsc_step [in Rel]
rtm_cons [in Records]
rtm_nil [in Records]
rty_cons [in Records]
rty_nil [in Records]
rt_refl [in Rel]
rt_step [in Rel]
rt_trans [in Rel]
R.c1 [in Logic]
R.c2 [in Logic]
R.c3 [in Logic]
R.c4 [in Logic]
R.c5 [in Logic]


S

saturday [in Basics]
SimpleArith1.E_Const [in Smallstep]
SimpleArith1.E_Plus [in Smallstep]
SimpleArith2.ST_PlusConstConst [in Smallstep]
SimpleArith2.ST_Plus1 [in Smallstep]
SimpleArith2.ST_Plus2 [in Smallstep]
SLoad [in Imp]
SMinus [in Imp]
SMult [in Imp]
Some [in Poly]
SomeE [in ImpParser]
SPlus [in Imp]
SPush [in Imp]
sq [in Logic]
STLCArith.tm_abs [in Stlc]
STLCArith.tm_app [in Stlc]
STLCArith.tm_if0 [in Stlc]
STLCArith.tm_mult [in Stlc]
STLCArith.tm_nat [in Stlc]
STLCArith.tm_pred [in Stlc]
STLCArith.tm_succ [in Stlc]
STLCArith.tm_var [in Stlc]
STLCArith.ty_arrow [in Stlc]
STLCArith.ty_nat [in Stlc]
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.ty_arrow [in Records]
STLCExtendedRecords.FirstTry.ty_base [in Records]
STLCExtendedRecords.FirstTry.ty_rcd [in Records]
STLCExtendedRecords.rtm_cons [in Records]
STLCExtendedRecords.rtm_nil [in Records]
STLCExtendedRecords.rty_cons [in Records]
STLCExtendedRecords.rty_nil [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.tm_abs [in Records]
STLCExtendedRecords.tm_app [in Records]
STLCExtendedRecords.tm_case [in Records]
STLCExtendedRecords.tm_cons [in Records]
STLCExtendedRecords.tm_fix [in Records]
STLCExtendedRecords.tm_fst [in Records]
STLCExtendedRecords.tm_if0 [in Records]
STLCExtendedRecords.tm_let [in Records]
STLCExtendedRecords.tm_mult [in Records]
STLCExtendedRecords.tm_nat [in Records]
STLCExtendedRecords.tm_nil [in Records]
STLCExtendedRecords.tm_pair [in Records]
STLCExtendedRecords.tm_pred [in Records]
STLCExtendedRecords.tm_proj [in Records]
STLCExtendedRecords.tm_rcons [in Records]
STLCExtendedRecords.tm_rnil [in Records]
STLCExtendedRecords.tm_snd [in Records]
STLCExtendedRecords.tm_succ [in Records]
STLCExtendedRecords.tm_var [in Records]
STLCExtendedRecords.ty_arrow [in Records]
STLCExtendedRecords.ty_base [in Records]
STLCExtendedRecords.ty_list [in Records]
STLCExtendedRecords.ty_nat [in Records]
STLCExtendedRecords.ty_pair [in Records]
STLCExtendedRecords.ty_rcons [in Records]
STLCExtendedRecords.ty_rnil [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.wfty_arrow [in Records]
STLCExtendedRecords.wfty_base [in Records]
STLCExtendedRecords.wfty_list [in Records]
STLCExtendedRecords.wfty_nat [in Records]
STLCExtendedRecords.wfty_pair [in Records]
STLCExtendedRecords.wfty_rcons [in Records]
STLCExtendedRecords.wfty_rnil [in Records]
STLCExtended.afi_abs [in MoreStlc]
STLCExtended.afi_app1 [in MoreStlc]
STLCExtended.afi_app2 [in MoreStlc]
STLCExtended.afi_var [in MoreStlc]
STLCExtended.ST_AppAbs [in MoreStlc]
STLCExtended.ST_App1 [in MoreStlc]
STLCExtended.ST_App2 [in MoreStlc]
STLCExtended.tm_abs [in MoreStlc]
STLCExtended.tm_app [in MoreStlc]
STLCExtended.tm_case [in MoreStlc]
STLCExtended.tm_cons [in MoreStlc]
STLCExtended.tm_fix [in MoreStlc]
STLCExtended.tm_fst [in MoreStlc]
STLCExtended.tm_if0 [in MoreStlc]
STLCExtended.tm_let [in MoreStlc]
STLCExtended.tm_mult [in MoreStlc]
STLCExtended.tm_nat [in MoreStlc]
STLCExtended.tm_nil [in MoreStlc]
STLCExtended.tm_pair [in MoreStlc]
STLCExtended.tm_pred [in MoreStlc]
STLCExtended.tm_snd [in MoreStlc]
STLCExtended.tm_succ [in MoreStlc]
STLCExtended.tm_unit [in MoreStlc]
STLCExtended.tm_var [in MoreStlc]
STLCExtended.ty_arrow [in MoreStlc]
STLCExtended.ty_base [in MoreStlc]
STLCExtended.ty_list [in MoreStlc]
STLCExtended.ty_nat [in MoreStlc]
STLCExtended.ty_pair [in MoreStlc]
STLCExtended.ty_unit [in MoreStlc]
STLCExtended.T_Abs [in MoreStlc]
STLCExtended.T_App [in MoreStlc]
STLCExtended.T_Var [in MoreStlc]
STLCExtended.v_abs [in MoreStlc]
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.sc_one [in References]
STLCRef.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.tm_abs [in References]
STLCRef.tm_app [in References]
STLCRef.tm_assign [in References]
STLCRef.tm_deref [in References]
STLCRef.tm_if0 [in References]
STLCRef.tm_loc [in References]
STLCRef.tm_mult [in References]
STLCRef.tm_nat [in References]
STLCRef.tm_pred [in References]
STLCRef.tm_ref [in References]
STLCRef.tm_succ [in References]
STLCRef.tm_unit [in References]
STLCRef.tm_var [in References]
STLCRef.ty_arrow [in References]
STLCRef.ty_nat [in References]
STLCRef.ty_ref [in References]
STLCRef.ty_unit [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.afi_abs [in Stlc]
STLC.afi_app1 [in Stlc]
STLC.afi_app2 [in Stlc]
STLC.afi_var [in Stlc]
STLC.ST_AppAbs [in Stlc]
STLC.ST_App1 [in Stlc]
STLC.ST_App2 [in Stlc]
STLC.tm_abs [in Stlc]
STLC.tm_app [in Stlc]
STLC.tm_var [in Stlc]
STLC.ty_arrow [in Stlc]
STLC.ty_base [in Stlc]
STLC.T_Abs [in Stlc]
STLC.T_App [in Stlc]
STLC.T_Var [in Stlc]
STLC.v_abs [in Stlc]
ST_AppAbs [in Subtyping]
ST_AppAbs [in Records]
ST_App1 [in Records]
ST_App1 [in Subtyping]
ST_App2 [in Subtyping]
ST_App2 [in Records]
ST_If [in Stlc]
ST_IfFalse [in Stlc]
ST_IfTrue [in Stlc]
ST_Iszero [in Stlc]
ST_IszeroSucc [in Stlc]
ST_IszeroZero [in Stlc]
ST_PlusConstConst [in Smallstep]
ST_Plus1 [in Smallstep]
ST_Plus2 [in Smallstep]
ST_Pred [in Stlc]
ST_PredSucc [in Stlc]
ST_PredZero [in Stlc]
ST_ProjRcd [in Records]
ST_Proj1 [in Records]
ST_Rcd_Head [in Records]
ST_Rcd_Tail [in Records]
ST_Succ [in Stlc]
sunday [in Basics]
S_Arrow [in Records]
S_Arrow [in Subtyping]
S_RcdDepth [in Records]
S_RcdPerm [in Records]
S_RcdWidth [in Records]
S_Refl [in Subtyping]
S_Refl [in Records]
S_Top [in Subtyping]
S_Top [in Records]
S_Trans [in Subtyping]
S_Trans [in Records]


T

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.tm_false [in Smallstep]
Temp4.tm_if [in Smallstep]
Temp4.tm_true [in Smallstep]
Temp4.v_false [in Smallstep]
Temp4.v_true [in Smallstep]
thursday [in Basics]
tm_abs [in Subtyping]
tm_abs [in Records]
tm_app [in Records]
tm_app [in Subtyping]
tm_const [in Smallstep]
tm_false [in Stlc]
tm_if [in Stlc]
tm_iszero [in Stlc]
tm_plus [in Smallstep]
tm_pred [in Stlc]
tm_proj [in Records]
tm_rcons [in Records]
tm_rnil [in Records]
tm_succ [in Stlc]
tm_true [in Stlc]
tm_unit [in Subtyping]
tm_var [in Records]
tm_var [in Subtyping]
tm_zero [in Stlc]
tot [in SfLib]
true [in Basics]
tuesday [in Basics]
ty_arrow [in Records]
ty_arrow [in Subtyping]
ty_base [in Subtyping]
ty_base [in Records]
ty_bool [in Stlc]
ty_nat [in Stlc]
ty_rcons [in Records]
ty_rnil [in Records]
ty_top [in Subtyping]
ty_top [in Records]
ty_unit [in Subtyping]
T_Abs [in Subtyping]
T_Abs [in Records]
T_App [in Records]
T_App [in Subtyping]
T_False [in Stlc]
T_If [in Stlc]
T_Iszero [in Stlc]
T_Pred [in Stlc]
T_Proj [in Records]
T_RCons [in Records]
T_RNil [in Records]
T_Sub [in Records]
T_Sub [in Subtyping]
T_Succ [in Stlc]
T_True [in Stlc]
T_Unit [in Subtyping]
T_Var [in Subtyping]
T_Var [in Records]
T_Zero [in Stlc]


V

VList [in MoreHoare]
VNat [in MoreHoare]
v_abs [in Subtyping]
v_abs [in Records]
v_const [in Smallstep]
v_rcons [in Records]
v_rnil [in Records]
v_unit [in Subtyping]


W

wednesday [in Basics]
wfty_arrow [in Records]
wfty_base [in Records]
wfty_rcons [in Records]
wfty_rnil [in Records]
wfty_top [in Records]
white [in ImpParser]


Y

yes [in Ind]



Inductive Index

A

aexp [in MoreHoare]
aexp [in Imp]
AExp.aexp [in Imp]
AExp.bexp [in Imp]
all [in Logic]
and [in Logic]
appears_free_in [in Records]
appears_free_in [in Subtyping]
appears_in [in MoreHoare]
appears_in [in Logic]
astep [in Smallstep]
aval [in Smallstep]


B

bexp [in Imp]
bexp [in MoreHoare]
bool [in Basics]
boollist [in Poly]
bstep [in Smallstep]
bvalue [in Stlc]


C

ceval [in MoreHoare]
ceval [in Imp]
CEvalFirstTry.ceval [in Imp]
chartype [in ImpParser]
CImp.com [in Smallstep]
CImp.cstep [in Smallstep]
CImp.refl_step_closure4 [in Smallstep]
clos_refl_trans [in Rel]
com [in Imp]
com [in MoreHoare]
Combined.step [in Smallstep]
Combined.tm [in Smallstep]
Combined.value [in Smallstep]
cstep [in Smallstep]


D

day [in Basics]
day_before [in Ind]
dcom [in MoreHoare]


E

empty_relation [in SfLib]
ev [in SfLib]
ev [in Ind]
eval [in Smallstep]
ex [in Logic]
ExFirstTry.ex [in Logic]


F

False [in Logic]
fine_day_for_singing [in Ind]
foo' [in Ind]


G

good_day [in Ind]


H

has_type [in Subtyping]
has_type [in Records]
has_type [in Stlc]


I

id [in MoreHoare]
id [in Imp]


L

le [in Logic]
LeFirstTry.le [in Logic]
list [in Poly]


M

MumbleBaz.baz [in Poly]
MumbleBaz.grumble [in Poly]
MumbleBaz.mumble [in Poly]
MyEquality.eq [in Logic]
MyEquality.eq' [in Logic]
MyProp [in Ind]


N

natlist [in Ind]
NatList.natlist [in Lists]
NatList.natoption [in Lists]
NatList.natprod [in Lists]
natlist1 [in Ind]
next_even [in Logic]
next_nat [in Logic]
next_nat [in SfLib]
no_Whiles [in Imp]
nvalue [in Stlc]


O

ok_day [in Ind]
option [in Poly]
optionE [in ImpParser]
or [in Logic]


P

Playground1.nat [in Basics]
prod [in Poly]
P.p [in Ind]


R

record_tm [in Records]
record_ty [in Records]
refl_step_closure [in Rel]
refl_step_closure [in SfLib]
RepeatExercise.ceval [in Hoare]
RepeatExercise.com [in Hoare]
rgb [in Ind]
R.R [in Logic]


S

SimpleArith1.eval [in Smallstep]
SimpleArith2.step [in Smallstep]
sinstr [in Imp]
square_of [in Logic]
step [in Smallstep]
step [in Records]
step [in Stlc]
step [in Subtyping]
STLCArith.tm [in Stlc]
STLCArith.ty [in Stlc]
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]
STLCRef.appears_free_in [in References]
STLCRef.extends [in References]
STLCRef.has_type [in References]
STLCRef.step [in References]
STLCRef.step_closure [in References]
STLCRef.tm [in References]
STLCRef.ty [in References]
STLCRef.value [in References]
STLC.appears_free_in [in Stlc]
STLC.has_type [in Stlc]
STLC.step [in Stlc]
STLC.tm [in Stlc]
STLC.ty [in Stlc]
STLC.value [in Stlc]
subtype [in Records]
subtype [in Subtyping]


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 Subtyping]
tm [in Stlc]
tm [in Smallstep]
tm [in Records]
total_relation [in SfLib]
tree [in Ind]
ty [in Records]
ty [in Stlc]
ty [in Subtyping]


V

val [in MoreHoare]
value [in Smallstep]
value [in Subtyping]
value [in Records]


W

well_formed_ty [in Records]


Y

yesno [in Ind]



Abbreviation Index

E

Examples.A [in Subtyping]
Examples.A [in Records]
Examples.B [in Subtyping]
Examples.B [in Records]
Examples.C [in Subtyping]
Examples.C [in Records]
Examples.FLOAT [in Subtyping]
Examples.i [in Records]
Examples.INTEGER [in Subtyping]
Examples.j [in Records]
Examples.k [in Records]
Examples.STRING [in Subtyping]
Examples.x [in Subtyping]
Examples.x [in Records]
Examples.y [in Subtyping]
Examples.y [in Records]
Examples.z [in Subtyping]
Examples.z [in Records]


S

step_normal_form [in Stlc]
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.stepmany [in Records]
STLCExtended.A [in MoreStlc]
STLCExtended.a [in MoreStlc]
STLCExtended.B [in MoreStlc]
STLCExtended.f [in MoreStlc]
STLCExtended.g [in MoreStlc]
STLCExtended.i1 [in MoreStlc]
STLCExtended.i2 [in MoreStlc]
STLCExtended.k [in MoreStlc]
STLCExtended.l [in MoreStlc]
STLCExtended.stepmany [in MoreStlc]
STLC.A [in Stlc]
STLC.a [in Stlc]
STLC.b [in Stlc]
STLC.B [in Stlc]
STLC.c [in Stlc]
STLC.C [in Stlc]
STLC.id_A [in Stlc]
STLC.id_AarrowA [in Stlc]
STLC.id_AarrowA_arrow_AarrowA [in Stlc]
STLC.k [in Stlc]
STLC.stepmany [in Stlc]



Definition Index

A

add_slowly [in Hoare]
admit [in SfLib]
admit [in Basics]
aequiv [in Equiv]
aeval [in MoreHoare]
aeval [in Imp]
AExp.aeval [in Imp]
AExp.beval [in Imp]
AExp.optimize_0plus [in Imp]
AExp.test_aeval1 [in Imp]
AExp.test_optimize_0plus [in Imp]
aexp1 [in Imp]
andb [in Basics]
andb3 [in Basics]
antisymmetric [in Rel]
app [in Poly]
aslist [in MoreHoare]
asnat [in MoreHoare]
Assertion [in MoreHoare]
Assertion [in Hoare]
assert_implies [in MoreHoare]
assn_sub [in MoreHoare]
assn_sub [in Hoare]
assn_sub_ex [in MoreHoare]
assn_sub_example [in Hoare]
assn_sub_example' [in Hoare]
astep_example1 [in Stlc]
astep_example1' [in Stlc]
astep_example1'' [in Stlc]
astep_example1''' [in Stlc]
astep_many [in Stlc]
atrans_sound [in Equiv]


B

bassn [in MoreHoare]
bassn [in Hoare]
bequiv [in Equiv]
beq_id [in MoreHoare]
beq_id [in Imp]
beq_nat [in Basics]
beq_nat_sym [in Lists]
between [in Ind]
beval [in Imp]
beval [in MoreHoare]
bexp1 [in Imp]
bind_option [in Imp]
ble_nat [in SfLib]
ble_nat [in Basics]
blt_nat [in Basics]
btrans_sound [in Equiv]
build_symtable [in ImpParser]


C

cequiv [in Equiv]
ceval_example1 [in Imp]
ceval_example2 [in Imp]
ceval_step [in Imp]
ceval_step1 [in Imp]
ceval_step2 [in Imp]
ceval_step3 [in Imp]
CImp.cstepmany [in Smallstep]
CImp.par_loop [in Smallstep]
CImp.par_loop_body [in Smallstep]
CImp.par_loop_example_0 [in Smallstep]
CImp.par_loop_example_2 [in Smallstep]
CImp.par_loop_init [in Smallstep]
classic [in Logic]
classifyChar [in ImpParser]
combine [in Poly]
constfun [in Poly]
constfun_example1 [in Poly]
constfun_example2 [in Poly]
context [in Records]
context [in Subtyping]
countoddmembers' [in Poly]
ctrans_sound [in Equiv]


D

dec_correct [in MoreHoare]
dec_while [in MoreHoare]
de_morgan_not_and_not [in Logic]
doit3times [in Poly]
double [in Poly]


E

empty [in Records]
empty [in Subtyping]
empty_state [in Imp]
empty_state [in MoreHoare]
equivalence [in Rel]
even [in Ind]
evenb [in Basics]
even_n__even_SSn [in Ind]
Examples.Employee [in Subtyping]
Examples.Person [in Subtyping]
Examples.Student [in Subtyping]
Examples.subtyping_example_0 [in Records]
Examples.subtyping_example_0 [in Subtyping]
Examples.subtyping_example_1 [in Subtyping]
Examples.subtyping_example_1 [in Records]
Examples.subtyping_example_2 [in Subtyping]
Examples.subtyping_example_2 [in Records]
Examples.subtyping_example_3 [in Records]
Examples.subtyping_example_4 [in Records]
Examples.sub_employee_person [in Subtyping]
Examples.sub_student_person [in Subtyping]
Examples.tm_rcd_kj [in Records]
Examples.ty_rcd_j [in Records]
Examples.ty_rcd_kj [in Records]
Examples2.typing_example_0 [in Records]
Examples2.typing_example_1 [in Records]
Examples2.typing_example_2 [in Records]
excluded_middle [in Logic]
ExFirstTry.snie [in Logic]
ExFirstTry.some_nat_is_even [in Logic]
exists_example_1 [in Logic]
exists_example_1' [in Logic]
exp [in Basics]
expect [in ImpParser]
extend [in Records]
extend [in Subtyping]
extract [in MoreHoare]


F

factorial [in Basics]
Factorial.fact_body [in Hoare]
Factorial.fact_com [in Hoare]
Factorial.fact_loop [in Hoare]
Factorial.real_fact [in Hoare]
fact_body [in Imp]
fact_com [in Imp]
fact_invariant [in Equiv]
fact_loop [in Imp]
fdfs_wed' [in Ind]
filter [in Poly]
find_parity [in Hoare]
find_parity_invariant [in Hoare]
find_parity_invariant' [in Hoare]
firstExpect [in ImpParser]
flat_map [in Poly]
fmostlytrue [in Poly]
fold [in Poly]
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]
fold_example1 [in Poly]
fold_example2 [in Poly]
fold_example3 [in Poly]
fold_length [in Poly]
fold_map [in Poly]
forallb [in Logic]
fst [in Poly]
ftrue [in Poly]
funny_prop1 [in Logic]
funny_prop1' [in Logic]
funny_prop1'' [in Logic]


H

has_type_not [in Stlc]
has_type_1 [in Stlc]
hd_opt [in Poly]
head [in MoreHoare]
hoare_asgn_example1 [in Hoare]
hoare_asgn_example1' [in Hoare]
hoare_asgn_example3 [in Hoare]
hoare_asgn_example4 [in Hoare]
hoare_triple [in MoreHoare]
hoare_triple [in Hoare]


I

iff [in Logic]
if_example [in Hoare]
implies_to_or [in Logic]
index [in Poly]
isAlpha [in ImpParser]
isDigit [in ImpParser]
isLowerAlpha [in ImpParser]
isWhite [in ImpParser]


L

length [in Poly]
length' [in Poly]
length'' [in Poly]
length_is_1 [in Poly]
list123 [in Poly]
list123' [in Poly]
list123'' [in Poly]
list_member [in MoreHoare]
list_member_decorated [in MoreHoare]
list_member_spec [in MoreHoare]
list_of_string [in ImpParser]
loop [in Imp]
lt [in Logic]


M

many [in ImpParser]
many_helper [in ImpParser]
map [in Poly]
map_option [in Poly]
minustwo [in Basics]
mynil [in Poly]
MyProp_iff_ev [in Logic]


N

nandb [in Basics]
NatList.add [in Lists]
NatList.alternate [in Lists]
NatList.app [in Lists]
NatList.bag [in Lists]
NatList.beq_natlist [in Lists]
NatList.count [in Lists]
NatList.countoddmembers [in Lists]
NatList.fst [in Lists]
NatList.fst' [in Lists]
NatList.hd [in Lists]
NatList.hd_opt [in Lists]
NatList.index [in Lists]
NatList.index' [in Lists]
NatList.index_bad [in Lists]
NatList.length [in Lists]
NatList.l_123 [in Lists]
NatList.l_123' [in Lists]
NatList.l_123'' [in Lists]
NatList.l_123''' [in Lists]
NatList.member [in Lists]
NatList.nonzeros [in Lists]
NatList.oddmembers [in Lists]
NatList.option_elim [in Lists]
NatList.remove_all [in Lists]
NatList.remove_one [in Lists]
NatList.repeat [in Lists]
NatList.rev [in Lists]
NatList.snd [in Lists]
NatList.snd' [in Lists]
NatList.snoc [in Lists]
NatList.subset [in Lists]
NatList.swap_pair [in Lists]
NatList.test_add1 [in Lists]
NatList.test_add2 [in Lists]
NatList.test_alternate1 [in Lists]
NatList.test_alternate2 [in Lists]
NatList.test_alternate3 [in Lists]
NatList.test_app1 [in Lists]
NatList.test_app2 [in Lists]
NatList.test_app3 [in Lists]
NatList.test_beq_natlist1 [in Lists]
NatList.test_beq_natlist2 [in Lists]
NatList.test_beq_natlist3 [in Lists]
NatList.test_countoddmembers1 [in Lists]
NatList.test_countoddmembers2 [in Lists]
NatList.test_countoddmembers3 [in Lists]
NatList.test_count1 [in Lists]
NatList.test_count2 [in Lists]
NatList.test_hd [in Lists]
NatList.test_hd_opt1 [in Lists]
NatList.test_hd_opt2 [in Lists]
NatList.test_hd_opt3 [in Lists]
NatList.test_index1 [in Lists]
NatList.test_index2 [in Lists]
NatList.test_index3 [in Lists]
NatList.test_member1 [in Lists]
NatList.test_member2 [in Lists]
NatList.test_nonzeros [in Lists]
NatList.test_oddmembers [in Lists]
NatList.test_remove_all1 [in Lists]
NatList.test_remove_all2 [in Lists]
NatList.test_remove_all3 [in Lists]
NatList.test_remove_all4 [in Lists]
NatList.test_remove_one1 [in Lists]
NatList.test_remove_one2 [in Lists]
NatList.test_remove_one3 [in Lists]
NatList.test_remove_one4 [in Lists]
NatList.test_rev1 [in Lists]
NatList.test_rev2 [in Lists]
NatList.test_subset1 [in Lists]
NatList.test_subset2 [in Lists]
NatList.test_tl [in Lists]
NatList.test_union1 [in Lists]
NatList.tl [in Lists]
NatList.union [in Lists]
negb [in Basics]
next_weekday [in Basics]
normalizing [in Smallstep]
normal_form [in Smallstep]
normal_form_of [in Smallstep]
not [in Logic]
no_whiles [in Imp]


O

oddb [in Basics]
okdw [in Ind]
okd_before2 [in Ind]
okd_before2_valid' [in Ind]
orb [in Basics]
order [in Rel]
our_nat_induction [in Ind]
override [in Poly]
override_example1 [in Poly]
override_example2 [in Poly]
override_example3 [in Poly]
override_example4 [in Poly]


P

p [in Logic]
parse [in ImpParser]
parseAExp [in ImpParser]
parseAtomicExp [in ImpParser]
parseBExp [in ImpParser]
parseConjunctionExp [in ImpParser]
parseIdentifier [in ImpParser]
parseNumber [in ImpParser]
parsePrimaryExp [in ImpParser]
parseProductExp [in ImpParser]
parser [in ImpParser]
parseSequencedCommand [in ImpParser]
parseSimpleCommand [in ImpParser]
parseSumExp [in ImpParser]
partial_function [in Rel]
partial_function [in SfLib]
partition [in Poly]
peirce [in Logic]
Playground1.pred [in Basics]
Playground2.minus [in Basics]
Playground2.mult [in Basics]
Playground2.plus [in Basics]
plus2 [in Imp]
plus3 [in Poly]
plus_fact [in Ind]
post [in MoreHoare]
preorder [in Rel]
preserved_by_S [in Ind]
prod_curry [in Poly]
prod_uncurry [in Poly]
pup_to_n [in Imp]
P_m0r [in Ind]
P_m0r' [in Ind]


R

real_fact [in Equiv]
reduce_to_zero [in Hoare]
reflexive [in Rel]
relation [in Rel]
relation [in SfLib]
repeat [in Poly]
RepeatExercise.hoare_triple [in Hoare]
rev [in MoreHoare]
rev [in Poly]


S

sillyex1 [in Poly]
sillyex2 [in Poly]
sillyfun [in Poly]
sillyfun1 [in Poly]
silly_presburger_formula [in Imp]
SimpleArith0.eval [in Smallstep]
SimpleArith2.test_step_1 [in Smallstep]
SimpleArith2.test_step_2 [in Smallstep]
snd [in Poly]
snoc [in Poly]
snoc [in MoreHoare]
some_tm_is_stuck [in Stlc]
sqrt_com [in Hoare]
sqrt_inv [in Hoare]
sqrt_loop [in Hoare]
sqrt_spec [in Hoare]
ss_invariant [in Equiv]
state [in Imp]
state [in MoreHoare]
stepmany [in Stlc]
stepmany [in Smallstep]
step_normal_form [in Smallstep]
STLCChecker.beq_ty [in MoreStlc]
STLCChecker.type_check [in MoreStlc]
STLCExtendedRecords.context [in Records]
STLCExtendedRecords.empty [in Records]
STLCExtendedRecords.extend [in Records]
STLCExtendedRecords.fact [in Records]
STLCExtendedRecords.fact_example [in Records]
STLCExtendedRecords.fact_typechecks [in Records]
STLCExtendedRecords.FirstTry.alist [in Records]
STLCExtendedRecords.map [in Records]
STLCExtendedRecords.map_example [in Records]
STLCExtendedRecords.map_typechecks [in Records]
STLCExtendedRecords.subst [in Records]
STLCExtendedRecords.tm_lookup [in Records]
STLCExtendedRecords.typing_example [in Records]
STLCExtendedRecords.typing_nonexample [in Records]
STLCExtendedRecords.typing_nonexample_2 [in Records]
STLCExtendedRecords.ty_lookup [in Records]
STLCExtendedRecords.weird_type [in Records]
STLCExtended.context [in MoreStlc]
STLCExtended.empty [in MoreStlc]
STLCExtended.extend [in MoreStlc]
STLCExtended.fact [in MoreStlc]
STLCExtended.fact_example [in MoreStlc]
STLCExtended.fact_typechecks [in MoreStlc]
STLCExtended.map [in MoreStlc]
STLCExtended.map_example [in MoreStlc]
STLCExtended.map_typechecks [in MoreStlc]
STLCExtended.subst [in MoreStlc]
STLCRef.context [in References]
STLCRef.empty [in References]
STLCRef.extend [in References]
STLCRef.factorial [in References]
STLCRef.loop [in References]
STLCRef.loop_fun [in References]
STLCRef.partial_map [in References]
STLCRef.replace [in References]
STLCRef.snoc [in References]
STLCRef.stepmany [in References]
STLCRef.stepmany1 [in References]
STLCRef.store [in References]
STLCRef.store_lookup [in References]
STLCRef.store_ty [in References]
STLCRef.store_ty_lookup [in References]
STLCRef.store_well_typed [in References]
STLCRef.subst [in References]
STLCRef.tm_seq [in References]
STLCRef._r [in References]
STLCRef._s [in References]
STLCRef._x [in References]
STLCRef._y [in References]
STLC.closed [in Stlc]
STLC.context [in Stlc]
STLC.empty [in Stlc]
STLC.extend [in Stlc]
STLC.partial_map [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_2 [in Stlc]
STLC.typing_nonexample_3 [in Stlc]
strange_prop1 [in Ind]
strange_prop2 [in Ind]
string_of_list [in ImpParser]
stuck [in Stlc]
subst [in Records]
subst [in Subtyping]
subst_aexp [in Equiv]
subst_aexp_ex [in Equiv]
subst_equiv_property [in Equiv]
subtract_slowly [in Hoare]
subtract_slowly [in Imp]
subtract_slowly_body [in Imp]
subtract_slowly_dec [in MoreHoare]
subtract_slowly_invariant [in Hoare]
subtract_3_from_5_slowly [in Imp]
succ_hastype_nat__hastype_nat [in Stlc]
sum [in MoreHoare]
sum_program [in MoreHoare]
sum_program_spec [in MoreHoare]
symmetric [in Rel]
s_compile [in Imp]
s_execute [in Imp]
s_execute1 [in Imp]
s_execute2 [in Imp]


T

tail [in MoreHoare]
teen [in Ind]
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_andb31 [in Basics]
test_andb32 [in Basics]
test_andb33 [in Basics]
test_andb34 [in Basics]
test_anon_fun [in Poly]
test_anon_fun' [in Poly]
test_ble_nat1 [in Basics]
test_ble_nat2 [in Basics]
test_ble_nat3 [in Basics]
test_blt_nat1 [in Basics]
test_blt_nat2 [in Basics]
test_blt_nat3 [in Basics]
test_ceval [in Imp]
test_countoddmembers'1 [in Poly]
test_countoddmembers'2 [in Poly]
test_countoddmembers'3 [in Poly]
test_doit3times [in Poly]
test_doit3times' [in Poly]
test_factorial1 [in Basics]
test_factorial2 [in Basics]
test_filter1 [in Poly]
test_filter2 [in Poly]
test_filter2' [in Poly]
test_flat_map1 [in Poly]
test_fold_length1 [in Poly]
test_hd_opt1 [in Poly]
test_hd_opt2 [in Poly]
test_index1 [in Poly]
test_index2 [in Poly]
test_index3 [in Poly]
test_length1 [in Poly]
test_length2 [in Poly]
test_map1 [in Poly]
test_map2 [in Poly]
test_map3 [in Poly]
test_mult1 [in Basics]
test_nandb1 [in Basics]
test_nandb2 [in Basics]
test_nandb3 [in Basics]
test_nandb4 [in Basics]
test_next_weekday [in Basics]
test_oddb1 [in Basics]
test_oddb2 [in Basics]
test_orb1 [in Basics]
test_orb2 [in Basics]
test_orb3 [in Basics]
test_orb4 [in Basics]
test_partition1 [in Poly]
test_partition2 [in Poly]
test_plus3 [in Poly]
test_plus3' [in Poly]
test_plus3'' [in Poly]
test_repeat1 [in Poly]
test_rev1 [in Poly]
test_rev2 [in Poly]
tm_lookup [in Records]
token [in ImpParser]
tokenize [in ImpParser]
tokenize_ex1 [in ImpParser]
tokenize_helper [in ImpParser]
transitive [in Rel]
trans_eq_example [in Poly]
trans_eq_example' [in Poly]
trans_eq_exercise [in Poly]
true_for_all_numbers [in Ind]
true_for_n__true_for_Sn [in Ind]
true_for_zero [in Ind]
ty_lookup [in Records]


U

update [in Imp]
update [in MoreHoare]


V

value [in Stlc]
verification_conditions [in MoreHoare]


X

X [in MoreHoare]
X [in Imp]
XtimesYinZ [in Imp]


Y

Y [in MoreHoare]
Y [in Imp]


Z

Z [in Imp]
Z [in MoreHoare]



Module Index

A

AExp [in Imp]


C

CEvalFirstTry [in Imp]
CImp [in Smallstep]
Combined [in Smallstep]


E

Examples [in Records]
Examples [in Subtyping]
Examples2 [in Records]
Examples2 [in Subtyping]
ExFirstTry [in Logic]


F

Factorial [in Hoare]
FirstTry [in Records]


L

LeFirstTry [in Logic]


M

MumbleBaz [in Poly]
MyEquality [in Logic]


N

NatList [in Lists]


P

P [in Ind]
Playground1 [in Basics]
Playground2 [in Basics]


R

R [in Logic]
RepeatExercise [in Hoare]


S

SimpleArith0 [in Smallstep]
SimpleArith1 [in Smallstep]
SimpleArith2 [in Smallstep]
STLC [in Stlc]
STLCArith [in Stlc]
STLCChecker [in MoreStlc]
STLCExtended [in MoreStlc]
STLCExtendedRecords [in Records]
STLCRef [in References]


T

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



Library Index

B

Basics


E

Equiv


H

Hoare


I

Imp
ImpParser
Ind


L

Lists
Logic


M

MoreHoare
MoreStlc


P

Poly
Preface


R

Records
References
Rel


S

SfLib
Smallstep
Stlc
Subtyping


T

Template



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 _ (1859 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 _ (474 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 _ (607 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 _ (151 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 _ (50 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 _ (523 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 _ (34 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 _ (20 entries)

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