Global Index

other

(1920 entries)

Notation Index

other

(87 entries)

Module Index

other

(33 entries)

Library Index

other

(20 entries)

Lemma Index

other

(498 entries)

Constructor Index

other

(262 entries)

Axiom Index

other

(2 entries)

Inductive Index

other

(99 entries)

Definition Index

other

(919 entries)

Global Index

A

B

BAnd [constructor, in Imp]
bar [definition, in Tactics]
base_case [definition, in IndPrinciples]
Basics [library]
BEq [constructor, in Imp]
better_t_tree_ind [definition, in IndPrinciples]
better_t_tree_ind_type [definition, in IndPrinciples]
beval [definition, in Imp]
bexp [inductive, in Imp]
bexp_sind [definition, in Imp]
bexp_rec [definition, in Imp]
bexp_ind [definition, in Imp]
bexp_rect [definition, in Imp]
bexp1 [definition, in Imp]
BFalse [constructor, in Imp]
BGt [constructor, in Imp]
Bib [library]
bignumber [definition, in ImpParser]
bin [inductive, in Basics]
bin [inductive, in Induction]
bin_to_nat [definition, in Basics]
bin_sind [definition, in Basics]
bin_rec [definition, in Basics]
bin_ind [definition, in Basics]
bin_rect [definition, in Basics]
bin_nat_bin [lemma, in Induction]
bin_nat_bin_fails [lemma, in Induction]
bin_nat_bin_fails [lemma, in Induction]
bin_to_nat_pres_incr [lemma, in Induction]
bin_to_nat [definition, in Induction]
bin_sind [definition, in Induction]
bin_rec [definition, in Induction]
bin_ind [definition, in Induction]
bin_rect [definition, in Induction]
bin1 [module, in IndProp]
bin1.bin [inductive, in IndProp]
bin1.bin_sind [definition, in IndProp]
bin1.bin_rec [definition, in IndProp]
bin1.bin_ind [definition, in IndProp]
bin1.bin_rect [definition, in IndProp]
bin1.B0 [constructor, in IndProp]
bin1.B1 [constructor, in IndProp]
bin1.Z [constructor, in IndProp]
bin2 [module, in IndProp]
bin2.bin [inductive, in IndProp]
bin2.bin_sind [definition, in IndProp]
bin2.bin_rec [definition, in IndProp]
bin2.bin_ind [definition, in IndProp]
bin2.bin_rect [definition, in IndProp]
bin2.B0 [constructor, in IndProp]
bin2.B1 [constructor, in IndProp]
bin2.Z [constructor, in IndProp]
bin3 [module, in IndProp]
bin3.bin [inductive, in IndProp]
bin3.bin_sind [definition, in IndProp]
bin3.bin_rec [definition, in IndProp]
bin3.bin_ind [definition, in IndProp]
bin3.bin_rect [definition, in IndProp]
bin3.B0 [constructor, in IndProp]
bin3.B1 [constructor, in IndProp]
bin3.Z [constructor, in IndProp]
black [constructor, in Basics]
BLe [constructor, in Imp]
blue [constructor, in Basics]
blue [constructor, in IndPrinciples]
BNeq [constructor, in Imp]
BNot [constructor, in Imp]
bool [inductive, in Basics]
boollist [inductive, in Poly]
boollist_sind [definition, in Poly]
boollist_rec [definition, in Poly]
boollist_ind [definition, in Poly]
boollist_rect [definition, in Poly]
booltree [inductive, in IndPrinciples]
booltree_ind_type_correct [lemma, in IndPrinciples]
booltree_ind_type [definition, in IndPrinciples]
booltree_property_type [definition, in IndPrinciples]
booltree_sind [definition, in IndPrinciples]
booltree_rec [definition, in IndPrinciples]
booltree_ind [definition, in IndPrinciples]
booltree_rect [definition, in IndPrinciples]
bool_fn_applied_thrice [lemma, in Tactics]
bool_sind [definition, in Basics]
bool_rec [definition, in Basics]
bool_ind [definition, in Basics]
bool_rect [definition, in Basics]
bool_cons [constructor, in Poly]
bool_nil [constructor, in Poly]
branch_case [definition, in IndPrinciples]
BreakImp [module, in Imp]
BreakImp.break_ignore [lemma, in Imp]
BreakImp.CAsgn [constructor, in Imp]
BreakImp.CBreak [constructor, in Imp]
BreakImp.ceval [inductive, in Imp]
BreakImp.ceval_deterministic [lemma, in Imp]
BreakImp.ceval_sind [definition, in Imp]
BreakImp.ceval_ind [definition, in Imp]
BreakImp.CIf [constructor, in Imp]
BreakImp.com [inductive, in Imp]
BreakImp.com_sind [definition, in Imp]
BreakImp.com_rec [definition, in Imp]
BreakImp.com_ind [definition, in Imp]
BreakImp.com_rect [definition, in Imp]
BreakImp.CSeq [constructor, in Imp]
BreakImp.CSkip [constructor, in Imp]
BreakImp.CWhile [constructor, in Imp]
BreakImp.E_Skip [constructor, in Imp]
BreakImp.result [inductive, in Imp]
BreakImp.result_sind [definition, in Imp]
BreakImp.result_rec [definition, in Imp]
BreakImp.result_ind [definition, in Imp]
BreakImp.result_rect [definition, in Imp]
BreakImp.SBreak [constructor, in Imp]
BreakImp.SContinue [constructor, in Imp]
BreakImp.seq_stops_on_break [lemma, in Imp]
BreakImp.seq_continue [lemma, in Imp]
BreakImp.while_break_true [lemma, in Imp]
BreakImp.while_stops_on_break [lemma, in Imp]
BreakImp.while_continue [lemma, in Imp]
com:while _ do _ end (com_scope) [notation, in Imp]
com:if _ then _ else _ end (com_scope) [notation, in Imp]
com:_ ; _ (com_scope) [notation, in Imp]
com:_ := _ (com_scope) [notation, in Imp]
com:skip (com_scope) [notation, in Imp]
com:break [notation, in Imp]
_ =[ _ ]=> _ / _ [notation, in Imp]
BTrue [constructor, in Imp]
bt_branch [constructor, in IndPrinciples]
bt_leaf [constructor, in IndPrinciples]
bt_empty [constructor, in IndPrinciples]
build_proof [definition, in IndPrinciples]
B₀ [constructor, in Basics]
B₀ [constructor, in Induction]
B₁ [constructor, in Basics]
B₁ [constructor, in Induction]

C

D

d [definition, in IndProp]
day [inductive, in Basics]
day [constructor, in IndPrinciples]
day_sind [definition, in Basics]
day_rec [definition, in Basics]
day_ind [definition, in Basics]
day_rect [definition, in Basics]
derive [definition, in IndProp]
derives [definition, in IndProp]
derive_corr [lemma, in IndProp]
de_morgan_not_or [definition, in ProofObjects]
de_morgan_not_and_not [definition, in Logic]
de_morgan_not_or [lemma, in Logic]
digit [constructor, in ImpParser]
discriminate_ex₃ [definition, in Tactics]
discriminate_ex₂ [lemma, in Tactics]
discriminate_ex₁ [lemma, in Tactics]
disc_example [lemma, in Logic]
disc_fn [definition, in Logic]
dist_exists_or [lemma, in Logic]
dist_not_exists [lemma, in Logic]
div2 [definition, in IndProp]
doit3times [definition, in Poly]
double [definition, in Induction]
double_neg [definition, in ProofObjects]
double_injective_take2 [lemma, in Tactics]
double_injective_take2_FAILED [lemma, in Tactics]
double_injective [lemma, in Tactics]
double_injective_FAILED [lemma, in Tactics]
double_negation_elimination [definition, in Logic]
double_neg [lemma, in Logic]
double_incr_bin [lemma, in Induction]
double_bin_zero [definition, in Induction]
double_bin [definition, in Induction]
double_incr [lemma, in Induction]
double_plus [lemma, in Induction]
dup_first_two_elts [definition, in AltAuto]

E

F

f [definition, in IndProp]
factorial [definition, in Basics]
factor_is_O [lemma, in Logic]
fact_in_coq [definition, in Imp]
false [constructor, in Basics]
false_assumed' [lemma, in AltAuto]
false_assumed [lemma, in AltAuto]
falso [definition, in ProofObjects]
filter [definition, in Poly]
filter_exercise [lemma, in Tactics]
filter_not_empty_In' [lemma, in IndProp]
filter_not_empty_In [lemma, in IndProp]
filter_even_gt₇ [definition, in Poly]
firstExpect [definition, in ImpParser]
flat_map [definition, in Poly]
fold [definition, in Poly]
fold_example3 [definition, in Poly]
fold_example2 [definition, in Poly]
fold_example1 [definition, in Poly]
foo [definition, in Tactics]
foo [definition, in Basics]
foo' [inductive, in IndPrinciples]
foo'_sind [definition, in IndPrinciples]
foo'_rec [definition, in IndPrinciples]
foo'_ind [definition, in IndPrinciples]
foo'_rect [definition, in IndPrinciples]
forallb [definition, in Tactics]
forallb [definition, in Logic]
forallb_true_iff [lemma, in Logic]
four_is_Even [lemma, in Logic]
friday [constructor, in Basics]
fst [definition, in Poly]
ftrue [definition, in Poly]
functional_extensionality [axiom, in Logic]
function_equality_ex₂ [definition, in Logic]
function_equality_ex₂ [definition, in Logic]
function_equality_ex₁ [definition, in Logic]
f_equal [lemma, in Tactics]

G

green [constructor, in Basics]
green [constructor, in IndPrinciples]

H

hd_error [definition, in Poly]
hyp_name [lemma, in AltAuto]

I

Id [constructor, in Lists]
id [inductive, in Lists]
identity_fn_applied_twice [lemma, in Basics]
id_sind [definition, in Lists]
id_rec [definition, in Lists]
id_ind [definition, in Lists]
id_rect [definition, in Lists]
IffPlayground [module, in Logic]
IffPlayground.iff [definition, in Logic]
_ <-> _ (type_scope) [notation, in Logic]
iff_trans [lemma, in Logic]
iff_refl [lemma, in Logic]
iff_sym [lemma, in Logic]
iff_reflect [lemma, in IndProp]
Imp [library]
ImpCEvalFun [library]
implies_to_or [definition, in Logic]
ImpParser [library]
imp1 [definition, in AltAuto]
imp2 [definition, in AltAuto]
imp3 [definition, in AltAuto]
In [definition, in Logic]
includedin [definition, in Maps]
includedin_update [lemma, in Maps]
incr [definition, in Basics]
incr [definition, in Induction]
IndPrinciples [library]
IndProp [library]
Induction [library]
infinite_loop [definition, in ProofObjects]
injection_ex₃ [definition, in Tactics]
injection_ex₁ [lemma, in Tactics]
injective [definition, in Logic]
intuition_simplify2' [lemma, in AltAuto]
intuition_simplify2 [lemma, in AltAuto]
intuition_simplify1 [lemma, in AltAuto]
intuition_succeed2 [lemma, in AltAuto]
intuition_succeed1 [lemma, in AltAuto]
inversion_ex₂ [lemma, in IndProp]
inversion_ex₁ [lemma, in IndProp]
in_not_nil_42_take5 [lemma, in Logic]
in_not_nil_42_take4 [lemma, in Logic]
in_not_nil_42_take3 [lemma, in Logic]
in_not_nil_42_take2 [lemma, in Logic]
in_not_nil_42 [lemma, in Logic]
in_not_nil [lemma, in Logic]
In_app_iff [lemma, in Logic]
In_map_iff [lemma, in Logic]
In_map [lemma, in Logic]
In_example_2 [definition, in Logic]
In_example_1 [definition, in Logic]
in_split [lemma, in IndProp]
in_re_match [lemma, in IndProp]
In₁₀ [lemma, in AltAuto]
In₁₀' [lemma, in AltAuto]
isAlpha [definition, in ImpParser]
isDigit [definition, in ImpParser]
isLowerAlpha [definition, in ImpParser]
isred [definition, in Basics]
isWhite [definition, in ImpParser]
is_even_prime [definition, in Logic]
is_even_prime [definition, in Logic]
is_three [definition, in Logic]
is_der [definition, in IndProp]
is_fortytwo [definition, in Auto]
is_fortytwo [definition, in AltAuto]

L

M

N

O

odd [definition, in Basics]
one_not_even' [lemma, in IndProp]
one_not_even [lemma, in IndProp]
optionE [inductive, in ImpParser]
optionE_sind [definition, in ImpParser]
optionE_rec [definition, in ImpParser]
optionE_ind [definition, in ImpParser]
optionE_rect [definition, in ImpParser]
OptionPlayground [module, in Poly]
OptionPlayground.None [constructor, in Poly]
OptionPlayground.option [inductive, in Poly]
OptionPlayground.option_sind [definition, in Poly]
OptionPlayground.option_rec [definition, in Poly]
OptionPlayground.option_ind [definition, in Poly]
OptionPlayground.option_rect [definition, in Poly]
OptionPlayground.Some [constructor, in Poly]
option_map [definition, in Poly]
orb [definition, in Basics]
orb_true_iff [lemma, in Logic]
orb' [definition, in Basics]
order [definition, in Rel]
or_distributes_over_and [definition, in ProofObjects]
or_bogus [definition, in ProofObjects]
or_assoc [lemma, in Logic]
or_distributes_over_and [lemma, in Logic]
or_commut [lemma, in Logic]
or_intro_l [lemma, in Logic]
or_distributes_over_and_from_logic [lemma, in AltAuto]
other [constructor, in ImpParser]
O_le_n [lemma, in IndProp]

P

R

R [module, in IndProp]
reaches_1_in [definition, in IndProp]
red [constructor, in Basics]
red [constructor, in IndPrinciples]
redundant_match [definition, in AltAuto]
reflect [definition, in IndPrinciples]
reflect [inductive, in IndProp]
ReflectF [constructor, in IndProp]
ReflectT [constructor, in IndProp]
reflect_involution [lemma, in IndPrinciples]
reflect_involution [lemma, in IndPrinciples]
reflect_iff [lemma, in IndProp]
reflect_sind [definition, in IndProp]
reflect_ind [definition, in IndProp]
reflexive [definition, in Rel]
refl_matches_eps [definition, in IndProp]
regex_match_correct [lemma, in IndProp]
regex_match [definition, in IndProp]
reg_exp_ex₄ [definition, in IndProp]
reg_exp_of_list [definition, in IndProp]
reg_exp_ex₃ [definition, in IndProp]
reg_exp_ex₂ [definition, in IndProp]
reg_exp_ex₁ [definition, in IndProp]
reg_exp_sind [definition, in IndProp]
reg_exp_rec [definition, in IndProp]
reg_exp_ind [definition, in IndProp]
reg_exp_rect [definition, in IndProp]
reg_exp [inductive, in IndProp]
Rel [library]
relation [definition, in Rel]
Repeat [module, in Auto]
repeat [definition, in Poly]
repeats [inductive, in IndProp]
repeats_sind [definition, in IndProp]
repeats_rec [definition, in IndProp]
repeats_ind [definition, in IndProp]
repeats_rect [definition, in IndProp]
repeat' [definition, in Poly]
repeat'' [definition, in Poly]
repeat''' [definition, in Poly]
Repeat.CAsgn [constructor, in Auto]
Repeat.ceval [inductive, in Auto]
Repeat.ceval_deterministic' [lemma, in Auto]
Repeat.ceval_deterministic [lemma, in Auto]
Repeat.ceval_sind [definition, in Auto]
Repeat.ceval_ind [definition, in Auto]
Repeat.CIf [constructor, in Auto]
Repeat.com [inductive, in Auto]
Repeat.com_sind [definition, in Auto]
Repeat.com_rec [definition, in Auto]
Repeat.com_ind [definition, in Auto]
Repeat.com_rect [definition, in Auto]
Repeat.CRepeat [constructor, in Auto]
Repeat.CSeq [constructor, in Auto]
Repeat.CSkip [constructor, in Auto]
Repeat.CWhile [constructor, in Auto]
Repeat.E_RepeatLoop [constructor, in Auto]
Repeat.E_RepeatEnd [constructor, in Auto]
Repeat.E_WhileTrue [constructor, in Auto]
Repeat.E_WhileFalse [constructor, in Auto]
Repeat.E_IfFalse [constructor, in Auto]
Repeat.E_IfTrue [constructor, in Auto]
Repeat.E_Seq [constructor, in Auto]
Repeat.E_Asgn [constructor, in Auto]
Repeat.E_Skip [constructor, in Auto]
com:_ ; _ [notation, in Auto]
com:_ := _ [notation, in Auto]
com:if _ then _ else _ end [notation, in Auto]
com:repeat _ until _ end [notation, in Auto]
com:skip [notation, in Auto]
com:while _ do _ end [notation, in Auto]
_ =[ _ ]=> _ [notation, in Auto]
restricted_excluded_middle_eq [lemma, in Logic]
restricted_excluded_middle [lemma, in Logic]
rev [definition, in Poly]
rev_exercise1 [lemma, in Tactics]
rev_append [definition, in Logic]
rev_involutive [lemma, in Poly]
rev_app_distr [lemma, in Poly]
re_not_empty_correct [lemma, in IndProp]
re_not_empty [definition, in IndProp]
re_chars [definition, in IndProp]
re_opt_match'' [lemma, in AltAuto]
re_opt_match' [lemma, in AltAuto]
re_opt_match [lemma, in AltAuto]
re_opt [definition, in AltAuto]
re_opt_e_match'' [lemma, in AltAuto]
re_opt_e_match' [lemma, in AltAuto]
re_opt_e_match [lemma, in AltAuto]
re_opt_e [definition, in AltAuto]
rgb [inductive, in Basics]
rgb [inductive, in IndPrinciples]
rgb_sind [definition, in Basics]
rgb_rec [definition, in Basics]
rgb_ind [definition, in Basics]
rgb_rect [definition, in Basics]
rgb_sind [definition, in IndPrinciples]
rgb_rec [definition, in IndPrinciples]
rgb_ind [definition, in IndPrinciples]
rgb_rect [definition, in IndPrinciples]
Ridley [constructor, in IndProp]
rsc_trans [lemma, in Rel]
rsc_R [lemma, in Rel]
rtc_rsc_coincide [lemma, in Rel]
rt_trans [constructor, in Rel]
rt_refl [constructor, in Rel]
rt_step [constructor, in Rel]
rt1n_trans [constructor, in Rel]
rt1n_refl [constructor, in Rel]
R.c1 [constructor, in IndProp]
R.c2 [constructor, in IndProp]
R.c3 [constructor, in IndProp]
R.c4 [constructor, in IndProp]
R.c5 [constructor, in IndProp]
R.fR [definition, in IndProp]
R.manual_grade_for_R_provability [definition, in IndProp]
R.R [inductive, in IndProp]
R.R_equiv_fR [lemma, in IndProp]
R.R_sind [definition, in IndProp]
R.R_ind [definition, in IndProp]

S

Sage [constructor, in IndProp]
saturday [constructor, in Basics]
sat_ex₂ [definition, in AltAuto]
sat_ex₁ [definition, in AltAuto]
sillyfun [definition, in Tactics]
sillyfun_false [lemma, in Tactics]
sillyfun1 [definition, in Tactics]
sillyfun1_odd [lemma, in Tactics]
sillyfun1_odd_FAILED [lemma, in Tactics]
silly_fact_2' [lemma, in Tactics]
silly_fact_2 [lemma, in Tactics]
silly_fact_2_FAILED [lemma, in Tactics]
silly_fact_1 [lemma, in Tactics]
silly_ex [lemma, in Tactics]
silly1 [lemma, in Tactics]
silly1 [lemma, in Auto]
silly1 [lemma, in AltAuto]
silly2 [lemma, in Tactics]
silly2 [lemma, in Auto]
silly2 [lemma, in AltAuto]
silly2a [lemma, in Tactics]
silly2_eauto [lemma, in Auto]
silly2_eassumption [lemma, in Auto]
silly2_fixed [lemma, in Auto]
silly3 [lemma, in Tactics]
silly4 [lemma, in Tactics]
simple_semi'' [lemma, in AltAuto]
simple_semi' [lemma, in AltAuto]
simple_semi [lemma, in AltAuto]
sinstr [inductive, in Imp]
sinstr_sind [definition, in Imp]
sinstr_rec [definition, in Imp]
sinstr_ind [definition, in Imp]
sinstr_rect [definition, in Imp]
SLoad [constructor, in Imp]
SMinus [constructor, in Imp]
SMult [constructor, in Imp]
snd [definition, in Poly]
Sn_le_Sm__n_le_m [lemma, in IndProp]
SomeE [constructor, in ImpParser]
specialize_example [lemma, in Tactics]
split [definition, in Tactics]
split [definition, in Poly]
split_combine [lemma, in Tactics]
split_combine_statement [definition, in Tactics]
SPlus [constructor, in Imp]
SPush [constructor, in Imp]
square [definition, in Tactics]
square_mult [lemma, in Tactics]
SSSSev__even [lemma, in IndProp]
Star [constructor, in IndProp]
star_ne [lemma, in IndProp]
star_app [lemma, in IndProp]
star_app [lemma, in IndProp]
star_app [lemma, in IndProp]
state [definition, in Imp]
string [definition, in IndProp]
string_of_list [definition, in ImpParser]
stroke [constructor, in AltAuto]
subseq [inductive, in IndProp]
subseq_trans [lemma, in IndProp]
subseq_app [lemma, in IndProp]
subseq_refl [lemma, in IndProp]
subseq_sind [definition, in IndProp]
subseq_rec [definition, in IndProp]
subseq_ind [definition, in IndProp]
subseq_rect [definition, in IndProp]
subtract_3_from_5_slowly [definition, in Imp]
subtract_slowly [definition, in Imp]
subtract_slowly_body [definition, in Imp]
succ_inj [lemma, in Logic]
sunday [constructor, in Basics]
symmetric [definition, in Rel]
S_inj [lemma, in Tactics]
S_injective' [lemma, in Tactics]
S_injective [lemma, in Tactics]
s_compile_correct [lemma, in Imp]
s_compile_correct_aux [lemma, in Imp]
s_compile1 [definition, in Imp]
s_compile [definition, in Imp]
s_execute2 [definition, in Imp]
s_execute1 [definition, in Imp]
s_execute [definition, in Imp]
S_neqb_0 [lemma, in Induction]
S_injective_from_tactics [lemma, in AltAuto]

T

U

uncurry [definition, in ProofObjects]
Union [constructor, in IndProp]
union_disj [lemma, in IndProp]
update [definition, in Maps]
update_permute [lemma, in Maps]
update_same [lemma, in Maps]
update_shadow [lemma, in Maps]
update_neq [lemma, in Maps]
update_eq [lemma, in Maps]
update_example4 [definition, in Maps]
update_example3 [definition, in Maps]
update_example2 [definition, in Maps]
update_example1 [definition, in Maps]

W

W [definition, in Imp]
weak_pumping [lemma, in AltAuto]
wednesday [constructor, in Basics]
white [constructor, in Basics]
white [constructor, in ImpParser]
wrong_ev_SS [constructor, in IndProp]
wrong_ev_0 [constructor, in IndProp]
wrong_ev [inductive, in IndProp]

X

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

Y

Y [definition, in Imp]

Z

Z [constructor, in Basics]
Z [definition, in Imp]
Z [constructor, in Induction]
zero_nbeq_plus_1 [lemma, in Basics]
zero_not_one [lemma, in Logic]
zero_or_succ [lemma, in Logic]
zero_neqb_S [lemma, in Induction]

other

Notation Index

A

_ ==> _ (type_scope) [in Imp]
_ ==> _ (type_scope) [in Imp]
_ ==> _ (type_scope) [in Imp]
_ ==>b _ (type_scope) [in Imp]
_ ==> _ (type_scope) [in Imp]

B

com:while _ do _ end (com_scope) [in Imp]
com:if _ then _ else _ end (com_scope) [in Imp]
com:_ ; _ (com_scope) [in Imp]
com:_ := _ (com_scope) [in Imp]
com:skip (com_scope) [in Imp]
com:break [in Imp]
_ =[ _ ]=> _ / _ [in Imp]

E

_ == _ (type_scope) [in ProofObjects]

I

_ <-> _ (type_scope) [in Logic]

L

_ <= _ [in IndProp]
_ <= _ [in IndProp]

N

_ ++ _ [in Lists]
_ :: _ [in Lists]
( _ , _ ) [in Lists]
[ _ ; .. ; _ ] [in Lists]
[ ] [in Lists]
~ _ (type_scope) [in Logic]

P

_ < _ [in IndProp]
_ <= _ [in IndProp]
_ /\ _ (type_scope) [in ProofObjects]
exists _ , _ (type_scope) [in ProofObjects]
_ \/ _ (type_scope) [in ProofObjects]

R

com:_ ; _ [in Auto]
com:_ := _ [in Auto]
com:if _ then _ else _ end [in Auto]
com:repeat _ until _ end [in Auto]
com:skip [in Auto]
com:while _ do _ end [in Auto]
_ =[ _ ]=> _ [in Auto]

other

Module Index

A

aevalR_extended [in Imp]
aevalR_division [in Imp]
AExp [in Imp]
AExp.aevalR_first_try.HypothesisNames [in Imp]
AExp.aevalR_first_try [in Imp]

B

bin1 [in IndProp]
bin2 [in IndProp]
bin3 [in IndProp]
BreakImp [in Imp]

E

EqualityPlayground [in ProofObjects]
Exercises [in Poly]
Exercises.Church [in Poly]

I

IffPlayground [in Logic]

L

LateDays [in Basics]
LePlayground [in IndProp]
LePlayground1 [in IndProp]

M

MumbleGrumble [in Poly]

N

NatList [in Lists]
NatPlayground [in Basics]
NatPlayground2 [in Basics]
NotPlayground [in Logic]

O

OptionPlayground [in Poly]

P

PartialMap [in Lists]
Playground [in Basics]
Playground [in IndProp]
Props [in ProofObjects]
Props.And [in ProofObjects]
Props.Ex [in ProofObjects]
Props.Or [in ProofObjects]
Pumping [in IndProp]

R

R [in IndProp]
Repeat [in Auto]

T

TuplePlayground [in Basics]

Library Index

A

AltAuto
Auto

B

Basics
Bib

E

Extraction

I

Imp
ImpCEvalFun
ImpParser
IndPrinciples
IndProp
Induction

L

Lists
Logic

M

Maps

P

Poly
Postscript
Preface
ProofObjects

R

Rel

T

Tactics

Lemma Index

A

add_comm3_take3 [in Logic]
add_comm3_take2 [in Logic]
add_comm3 [in Logic]
add_comm'' [in IndPrinciples]
add_comm' [in IndPrinciples]
add_assoc' [in IndPrinciples]
add_le_cases [in IndProp]
add_shuffle3' [in Induction]
add_shuffle3 [in Induction]
add_assoc'' [in Induction]
add_assoc' [in Induction]
add_assoc [in Induction]
add_comm [in Induction]
add_0_r [in Induction]
add_0_r_secondtry [in Induction]
add_0_r_firsttry [in Induction]
add_assoc''' [in AltAuto]
add_assoc'' [in AltAuto]
add_assoc_from_induction [in AltAuto]
add_assoc' [in AltAuto]
add_assoc [in AltAuto]
AExp.aeval_iff_aevalR' [in Imp]
AExp.aeval_iff_aevalR [in Imp]
AExp.beval_iff_bevalR [in Imp]
AExp.foo [in Imp]
AExp.foo' [in Imp]
AExp.invert_example1 [in Imp]
AExp.In10 [in Imp]
AExp.In10' [in Imp]
AExp.optimize_0plus_b_sound [in Imp]
AExp.optimize_0plus_sound'' [in Imp]
AExp.optimize_0plus_sound' [in Imp]
AExp.optimize_0plus_sound [in Imp]
AExp.repeat_loop [in Imp]
AExp.silly1 [in Imp]
AExp.silly2 [in Imp]
All_In [in Logic]
all3_spec [in Induction]
andb_eq_orb [in Basics]
andb_commutative'' [in Basics]
andb_true_elim2 [in Basics]
andb_commutative' [in Basics]
andb_commutative [in Basics]
andb_true_iff [in Logic]
andb_false_r [in Induction]
andb_true_elim2' [in AltAuto]
andb_true_elim2 [in AltAuto]
andb_commutative' [in AltAuto]
andb_commutative [in AltAuto]
andb_eq_orb [in AltAuto]
andb3_exchange [in Basics]
andb3_exchange' [in AltAuto]
andb3_exchange [in AltAuto]
and_assoc [in Logic]
and_commut [in Logic]
and_example3 [in Logic]
and_example2'' [in Logic]
and_example2' [in Logic]
and_example2 [in Logic]
apply_iff_example2 [in Logic]
apply_iff_example1 [in Logic]
apply_empty [in Maps]
app_ne [in IndProp]
app_exists [in IndProp]
app_length [in Poly]
app_assoc [in Poly]
app_nil_r [in Poly]
app_nil_r'' [in AltAuto]
app_nil_r' [in AltAuto]
app_nil_r [in AltAuto]
app_length' [in AltAuto]
app_length [in AltAuto]

B

bin_nat_bin [in Induction]
bin_nat_bin_fails [in Induction]
bin_nat_bin_fails [in Induction]
bin_to_nat_pres_incr [in Induction]
booltree_ind_type_correct [in IndPrinciples]
bool_fn_applied_thrice [in Tactics]
BreakImp.break_ignore [in Imp]
BreakImp.ceval_deterministic [in Imp]
BreakImp.seq_stops_on_break [in Imp]
BreakImp.seq_continue [in Imp]
BreakImp.while_break_true [in Imp]
BreakImp.while_stops_on_break [in Imp]
BreakImp.while_continue [in Imp]

C

ceval_deterministic [in Imp]
ceval_deterministic'''' [in Auto]
ceval_deterministic''' [in Auto]
ceval_deterministic'' [in Auto]
ceval_deterministic'_alt [in Auto]
ceval_deterministic' [in Auto]
ceval_deterministic [in Auto]
ceval_deterministic' [in ImpCEvalFun]
ceval_and_ceval_step_coincide [in ImpCEvalFun]
ceval__ceval_step [in ImpCEvalFun]
ceval_step_more [in ImpCEvalFun]
ceval_step__ceval [in ImpCEvalFun]
char_eps_suffix [in IndProp]
char_nomatch_char [in IndProp]
combine_split [in Tactics]
combine_odd_even_elim_even [in Logic]
combine_odd_even_elim_odd [in Logic]
combine_odd_even_intro [in Logic]
contradiction_implies_anything [in Logic]
contrapositive [in Logic]
contras [in AltAuto]
contras' [in AltAuto]

D

derive_corr [in IndProp]
de_morgan_not_or [in Logic]
discriminate_ex₂ [in Tactics]
discriminate_ex₁ [in Tactics]
disc_example [in Logic]
dist_exists_or [in Logic]
dist_not_exists [in Logic]
double_injective_take2 [in Tactics]
double_injective_take2_FAILED [in Tactics]
double_injective [in Tactics]
double_injective_FAILED [in Tactics]
double_neg [in Logic]
double_incr_bin [in Induction]
double_incr [in Induction]
double_plus [in Induction]

E

empty_nomatch_ne [in IndProp]
empty_matches_eps [in IndProp]
empty_is_empty [in IndProp]
empty_relation_is_empty [in IndProp]
empty_relation_partial_function [in Rel]
eqbP [in IndProp]
eqbP_practice [in IndProp]
eqb_trans [in Tactics]
eqb_sym [in Tactics]
eqb_true [in Tactics]
eqb_0_l [in Tactics]
eqb_list_true_iff [in Logic]
eqb_neq [in Logic]
eqb_eq [in Logic]
eqb_id_refl [in Lists]
eqb_refl [in Induction]
EqualityPlayground.equality__leibniz_equality [in ProofObjects]
EqualityPlayground.eq_add' [in ProofObjects]
EqualityPlayground.four [in ProofObjects]
EqualityPlayground.leibniz_equality__equality [in ProofObjects]
eq_implies_succ_equal' [in Tactics]
eq_implies_succ_equal [in Tactics]
eq_example3 [in AltAuto]
eq_example2 [in AltAuto]
eq_example1' [in AltAuto]
eq_example1 [in AltAuto]
even_bool_prop [in Logic]
even_double_conv [in Logic]
even_double [in Logic]
even_ev [in IndPrinciples]
even_ev [in IndPrinciples]
even_S [in Induction]
evSS_ev' [in IndProp]
evSS_ev [in IndProp]
ev_plus4 [in ProofObjects]
ev_8 [in ProofObjects]
ev_4'' [in ProofObjects]
ev_4' [in ProofObjects]
ev_4 [in ProofObjects]
ev_ev' [in IndPrinciples]
ev_plus_plus [in IndProp]
ev_ev__ev [in IndProp]
ev_sum [in IndProp]
ev_Even_iff [in IndProp]
ev_Even [in IndProp]
ev_Even_firsttry [in IndProp]
ev_inversion [in IndProp]
ev_double [in IndProp]
ev_plus4 [in IndProp]
ev_4' [in IndProp]
ev_4 [in IndProp]
ev'_ev [in IndProp]
ev100 [in AltAuto]
ev5_nonsense [in IndProp]
excluded_middle_irrefutable [in Logic]
execute_app [in Imp]
Exercises.curry_uncurry [in Poly]
Exercises.fold_length_correct [in Poly]
Exercises.uncurry_curry [in Poly]
existsb_existsb' [in Tactics]
exists_example_2 [in Logic]
ex_falso_quodlibet [in Logic]

F

factor_is_O [in Logic]
false_assumed' [in AltAuto]
false_assumed [in AltAuto]
filter_exercise [in Tactics]
filter_not_empty_In' [in IndProp]
filter_not_empty_In [in IndProp]
forallb_true_iff [in Logic]
four_is_Even [in Logic]
f_equal [in Tactics]

H

hyp_name [in AltAuto]

I

identity_fn_applied_twice [in Basics]
iff_trans [in Logic]
iff_refl [in Logic]
iff_sym [in Logic]
iff_reflect [in IndProp]
includedin_update [in Maps]
injection_ex₁ [in Tactics]
intuition_simplify2' [in AltAuto]
intuition_simplify2 [in AltAuto]
intuition_simplify1 [in AltAuto]
intuition_succeed2 [in AltAuto]
intuition_succeed1 [in AltAuto]
inversion_ex₂ [in IndProp]
inversion_ex₁ [in IndProp]
in_not_nil_42_take5 [in Logic]
in_not_nil_42_take4 [in Logic]
in_not_nil_42_take3 [in Logic]
in_not_nil_42_take2 [in Logic]
in_not_nil_42 [in Logic]
in_not_nil [in Logic]
In_app_iff [in Logic]
In_map_iff [in Logic]
In_map [in Logic]
in_split [in IndProp]
in_re_match [in IndProp]
In₁₀ [in AltAuto]
In₁₀' [in AltAuto]

L

M

N

NatList.app_assoc4 [in Lists]
NatList.app_nil_r [in Lists]
NatList.app_length [in Lists]
NatList.app_assoc [in Lists]
NatList.count_member_nonzero [in Lists]
NatList.eqblist_refl [in Lists]
NatList.fst_swap_is_snd [in Lists]
NatList.involution_injective [in Lists]
NatList.leb_n_Sn [in Lists]
NatList.nil_app [in Lists]
NatList.nonzeros_app [in Lists]
NatList.option_elim_hd [in Lists]
NatList.remove_does_not_increase_count [in Lists]
NatList.rev_injective [in Lists]
NatList.rev_involutive [in Lists]
NatList.rev_app_distr [in Lists]
NatList.rev_length [in Lists]
NatList.rev_length_firsttry [in Lists]
NatList.snd_fst_is_swap [in Lists]
NatList.surjective_pairing [in Lists]
NatList.surjective_pairing_stuck [in Lists]
NatList.surjective_pairing' [in Lists]
NatList.tl_length_pred [in Lists]
nat_bin_nat [in Induction]
negb_involutive [in Basics]
negb_involutive' [in AltAuto]
negb_involutive [in AltAuto]
next_nat_closure_is_le [in Rel]
next_nat_partial_function [in Rel]
nonzeros_app [in AltAuto]
nor_not_and' [in AltAuto]
nor_not' [in AltAuto]
nor_comm' [in AltAuto]
nor_not [in AltAuto]
nor_comm [in AltAuto]
nor_not_or [in AltAuto]
not_exists_dist [in Logic]
not_true_iff_false [in Logic]
not_true_is_false' [in Logic]
not_true_is_false [in Logic]
not_both_true_and_false [in Logic]
not_False [in Logic]
not_implies_our_not [in Logic]
not_equiv_false [in IndProp]
no_whiles_eqv [in Imp]
no_hyp_name [in AltAuto]
nth_error_after_last [in Tactics]
null_matches_none [in IndProp]
n_lt_m__n_le_m [in IndProp]
n_le_m__Sn_le_Sm [in IndProp]

O

one_not_even' [in IndProp]
one_not_even [in IndProp]
orb_true_iff [in Logic]
or_assoc [in Logic]
or_distributes_over_and [in Logic]
or_commut [in Logic]
or_intro_l [in Logic]
or_distributes_over_and_from_logic [in AltAuto]
O_le_n [in IndProp]

P

palindrome_converse [in IndProp]
pal_rev [in IndProp]
pal_app_rev [in IndProp]
PartialMap.update_neq [in Lists]
PartialMap.update_eq [in Lists]
pe_implies_pi [in ProofObjects]
pe_implies_true_eq [in ProofObjects]
pe_implies_or_eq [in ProofObjects]
pigeonhole_principle [in IndProp]
Playground.test_le₃ [in IndProp]
Playground.test_le₂ [in IndProp]
Playground.test_le₁ [in IndProp]
plus_n_n_injective [in Tactics]
plus_1_neq_0' [in Basics]
plus_1_neq_0 [in Basics]
plus_1_neq_0_firsttry [in Basics]
plus_id_exercise [in Basics]
plus_id_example [in Basics]
plus_1_l [in Basics]
plus_O_n'' [in Basics]
plus_O_n' [in Basics]
plus_O_n [in Basics]
plus_eqb_example [in Logic]
plus_exists_leb [in Logic]
plus_claim_is_true [in Logic]
plus_2_2_is_4 [in Logic]
plus_one_r' [in IndPrinciples]
plus_lt [in IndProp]
plus_le_compat_r [in IndProp]
plus_le_compat_l [in IndProp]
plus_le [in IndProp]
plus_leb_compat_l [in Induction]
plus_rearrange [in Induction]
plus_rearrange_firsttry [in Induction]
plus_n_Sm [in Induction]
plus_n_Sm' [in AltAuto]
plus_n_Sm [in AltAuto]
plus_1_neq_0' [in AltAuto]
plus_1_neq_0 [in AltAuto]
plus_id_exercise_from_basics [in AltAuto]
plus2_spec [in Imp]
proj1 [in Logic]
proj2 [in Logic]
Props.And.and_comm [in ProofObjects]
Props.And.proj1' [in ProofObjects]
Props.Or.inj_l' [in ProofObjects]
Props.Or.or_elim' [in ProofObjects]
provable_equiv_true [in IndProp]
pumping [in AltAuto]
Pumping.napp_star [in IndProp]
Pumping.napp_plus [in IndProp]
Pumping.pumping [in IndProp]
Pumping.pumping_constant_0_false [in IndProp]
Pumping.pumping_constant_ge_1 [in IndProp]
Pumping.weak_pumping [in IndProp]
pup_to_2_ceval [in Imp]

R

reflect_involution [in IndPrinciples]
reflect_involution [in IndPrinciples]
reflect_iff [in IndProp]
regex_match_correct [in IndProp]
Repeat.ceval_deterministic' [in Auto]
Repeat.ceval_deterministic [in Auto]
restricted_excluded_middle_eq [in Logic]
restricted_excluded_middle [in Logic]
rev_exercise1 [in Tactics]
rev_involutive [in Poly]
rev_app_distr [in Poly]
re_not_empty_correct [in IndProp]
re_opt_match'' [in AltAuto]
re_opt_match' [in AltAuto]
re_opt_match [in AltAuto]
re_opt_e_match'' [in AltAuto]
re_opt_e_match' [in AltAuto]
re_opt_e_match [in AltAuto]
rsc_trans [in Rel]
rsc_R [in Rel]
rtc_rsc_coincide [in Rel]
R.R_equiv_fR [in IndProp]

S

sillyfun_false [in Tactics]
sillyfun1_odd [in Tactics]
sillyfun1_odd_FAILED [in Tactics]
silly_fact_2' [in Tactics]
silly_fact_2 [in Tactics]
silly_fact_2_FAILED [in Tactics]
silly_fact_1 [in Tactics]
silly_ex [in Tactics]
silly1 [in Tactics]
silly1 [in Auto]
silly1 [in AltAuto]
silly2 [in Tactics]
silly2 [in Auto]
silly2 [in AltAuto]
silly2a [in Tactics]
silly2_eauto [in Auto]
silly2_eassumption [in Auto]
silly2_fixed [in Auto]
silly3 [in Tactics]
silly4 [in Tactics]
simple_semi'' [in AltAuto]
simple_semi' [in AltAuto]
simple_semi [in AltAuto]
Sn_le_Sm__n_le_m [in IndProp]
specialize_example [in Tactics]
split_combine [in Tactics]
square_mult [in Tactics]
SSSSev__even [in IndProp]
star_ne [in IndProp]
star_app [in IndProp]
star_app [in IndProp]
star_app [in IndProp]
subseq_trans [in IndProp]
subseq_app [in IndProp]
subseq_refl [in IndProp]
succ_inj [in Logic]
S_inj [in Tactics]
S_injective' [in Tactics]
S_injective [in Tactics]
s_compile_correct [in Imp]
s_compile_correct_aux [in Imp]
S_neqb_0 [in Induction]
S_injective_from_tactics [in AltAuto]

T

total_relation_is_total [in IndProp]
total_relation_not_partial_function [in Rel]
Toy_correct [in IndPrinciples]
trans_eq [in Tactics]
True_is_true [in Logic]
tr_rev_correct [in Logic]
t_update_permute [in Maps]
t_update_same [in Maps]
t_update_shadow [in Maps]
t_update_neq [in Maps]
t_update_eq [in Maps]
t_apply_empty [in Maps]

U

union_disj [in IndProp]
update_permute [in Maps]
update_same [in Maps]
update_shadow [in Maps]
update_neq [in Maps]
update_eq [in Maps]

W

weak_pumping [in AltAuto]

Z

zero_nbeq_plus_1 [in Basics]
zero_not_one [in Logic]
zero_or_succ [in Logic]
zero_neqb_S [in Induction]

Constructor Index

A

B

BAnd [in Imp]
BEq [in Imp]
BFalse [in Imp]
BGt [in Imp]
bin1.B0 [in IndProp]
bin1.B1 [in IndProp]
bin1.Z [in IndProp]
bin2.B0 [in IndProp]
bin2.B1 [in IndProp]
bin2.Z [in IndProp]
bin3.B0 [in IndProp]
bin3.B1 [in IndProp]
bin3.Z [in IndProp]
black [in Basics]
BLe [in Imp]
blue [in Basics]
blue [in IndPrinciples]
BNeq [in Imp]
BNot [in Imp]
bool_cons [in Poly]
bool_nil [in Poly]
BreakImp.CAsgn [in Imp]
BreakImp.CBreak [in Imp]
BreakImp.CIf [in Imp]
BreakImp.CSeq [in Imp]
BreakImp.CSkip [in Imp]
BreakImp.CWhile [in Imp]
BreakImp.E_Skip [in Imp]
BreakImp.SBreak [in Imp]
BreakImp.SContinue [in Imp]
BTrue [in Imp]
bt_branch [in IndPrinciples]
bt_leaf [in IndPrinciples]
bt_empty [in IndPrinciples]
B₀ [in Basics]
B₀ [in Induction]
B₁ [in Basics]
B₁ [in Induction]

C

CAsgn [in Imp]
Char [in IndProp]
Chf_more [in IndProp]
Chf_done [in IndProp]
CIf [in Imp]
Cleo [in IndProp]
cons [in Poly]
cons' [in Poly]
CSeq [in Imp]
CSkip [in Imp]
CWhile [in Imp]
C₁ [in IndPrinciples]
C₂ [in IndPrinciples]

D

day [in IndPrinciples]
digit [in ImpParser]

E

EmptySet [in IndProp]
EmptyStr [in IndProp]
EqualityPlayground.eq_refl [in ProofObjects]
ev_SS [in ProofObjects]
ev_0 [in ProofObjects]
ev_SS [in IndProp]
ev_0 [in IndProp]
ev'_sum [in IndPrinciples]
ev'_2 [in IndPrinciples]
ev'_0 [in IndPrinciples]
ev'_sum [in IndProp]
ev'_2 [in IndProp]
ev'_0 [in IndProp]
E_WhileTrue [in Imp]
E_WhileFalse [in Imp]
E_IfFalse [in Imp]
E_IfTrue [in Imp]
E_Seq [in Imp]
E_Asgn [in Imp]
E_Skip [in Imp]

F

false [in Basics]
friday [in Basics]

G

green [in Basics]
green [in IndPrinciples]

I

Id [in Lists]

L

M

MApp [in IndProp]
MChar [in IndProp]
MEmpty [in IndProp]
monday [in Basics]
Moss [in IndProp]
MStarApp [in IndProp]
MStar0 [in IndProp]
MumbleGrumble.a [in Poly]
MumbleGrumble.b [in Poly]
MumbleGrumble.c [in Poly]
MumbleGrumble.d [in Poly]
MumbleGrumble.e [in Poly]
MUnionL [in IndProp]
MUnionR [in IndProp]

N

NatList.cons [in Lists]
NatList.nil [in Lists]
NatList.None [in Lists]
NatList.pair [in Lists]
NatList.Some [in Lists]
NatPlayground.O [in Basics]
NatPlayground.S [in Basics]
NatPlayground.stop [in Basics]
NatPlayground.tick [in Basics]
ncons [in IndPrinciples]
night [in IndPrinciples]
nil [in Poly]
nil' [in Poly]
nn [in Rel]
nnil [in IndPrinciples]
nnil' [in IndPrinciples]
node [in IndPrinciples]
NoneE [in ImpParser]
nsnoc [in IndPrinciples]

O

OptionPlayground.None [in Poly]
OptionPlayground.Some [in Poly]
other [in ImpParser]

P

pair [in Poly]
PartialMap.empty [in Lists]
PartialMap.record [in Lists]
perm3_trans [in IndProp]
perm3_swap23 [in IndProp]
perm3_swap12 [in IndProp]
Playground.le_S [in IndProp]
Playground.le_n [in IndProp]
po_CM [in IndProp]
po_SR [in IndProp]
po_SC [in IndProp]
primary [in Basics]
Props.And.conj [in ProofObjects]
Props.Ex.ex_intro [in ProofObjects]
Props.I [in ProofObjects]
Props.Or.or_intror [in ProofObjects]
Props.Or.or_introl [in ProofObjects]

R

S

Sage [in IndProp]
saturday [in Basics]
SLoad [in Imp]
SMinus [in Imp]
SMult [in Imp]
SomeE [in ImpParser]
SPlus [in Imp]
SPush [in Imp]
Star [in IndProp]
stroke [in AltAuto]
sunday [in Basics]

T

thursday [in Basics]
true [in Basics]
tuesday [in Basics]
TuplePlayground.bits [in Basics]
TuplePlayground.B0 [in Basics]
TuplePlayground.B1 [in Basics]
t_branch [in IndPrinciples]
t_leaf [in IndPrinciples]
t_trans [in IndProp]
t_step [in IndProp]

U

Union [in IndProp]

W

wednesday [in Basics]
white [in Basics]
white [in ImpParser]
wrong_ev_SS [in IndProp]
wrong_ev_0 [in IndProp]

Z

Z [in Basics]
Z [in Induction]

Axiom Index

C

collatz [in IndProp]

F

functional_extensionality [in Logic]

Inductive Index

A

aevalR_extended.aevalR [in Imp]
aevalR_extended.aexp [in Imp]
aevalR_division.aevalR [in Imp]
aevalR_division.aexp [in Imp]
aexp [in Imp]
AExp.aevalR [in Imp]
AExp.aevalR_first_try.HypothesisNames.aevalR [in Imp]
AExp.aevalR_first_try.aevalR [in Imp]
AExp.aexp [in Imp]
AExp.bevalR [in Imp]
AExp.bexp [in Imp]

B

bexp [in Imp]
bin [in Basics]
bin [in Induction]
bin1.bin [in IndProp]
bin2.bin [in IndProp]
bin3.bin [in IndProp]
bool [in Basics]
boollist [in Poly]
booltree [in IndPrinciples]
BreakImp.ceval [in Imp]
BreakImp.com [in Imp]
BreakImp.result [in Imp]

C

ceval [in Imp]
chartype [in ImpParser]
clos_trans [in IndProp]
clos_refl_trans_1n [in Rel]
clos_refl_trans [in Rel]
Collatz_holds_for [in IndProp]
color [in Basics]
com [in Imp]

D

day [in Basics]

E

empty_relation [in IndProp]
empty_relation [in Rel]
EqualityPlayground.eq [in ProofObjects]
ev [in ProofObjects]
ev [in IndProp]
ev' [in IndPrinciples]
ev' [in IndProp]
exp_match [in IndProp]

F

foo' [in IndPrinciples]

I

id [in Lists]

L

LateDays.comparison [in Basics]
LateDays.grade [in Basics]
LateDays.letter [in Basics]
LateDays.modifier [in Basics]
LePlayground.le [in IndProp]
LePlayground1.le [in IndProp]
le₁ [in IndPrinciples]
le₂ [in IndPrinciples]
list [in Poly]
list' [in Poly]

M

merge [in IndProp]
MumbleGrumble.grumble [in Poly]
MumbleGrumble.mumble [in Poly]

N

natlist [in IndPrinciples]
natlist' [in IndPrinciples]
NatList.natlist [in Lists]
NatList.natoption [in Lists]
NatList.natprod [in Lists]
NatPlayground.nat [in Basics]
NatPlayground.otherNat [in Basics]
next_nat [in Rel]
nor [in AltAuto]
nostutter [in IndProp]
no_whilesR [in Imp]

O

optionE [in ImpParser]
OptionPlayground.option [in Poly]

P

pal [in IndProp]
parent_of [in IndProp]
PartialMap.partial_map [in Lists]
Perm3 [in IndProp]
Person [in IndProp]
Playground.le [in IndProp]
prod [in Poly]
Props.And.and [in ProofObjects]
Props.Ex.ex [in ProofObjects]
Props.False [in ProofObjects]
Props.Or.or [in ProofObjects]
Props.True [in ProofObjects]

R

reflect [in IndProp]
reg_exp [in IndProp]
repeats [in IndProp]
Repeat.ceval [in Auto]
Repeat.com [in Auto]
rgb [in Basics]
rgb [in IndPrinciples]
R.R [in IndProp]

S

sinstr [in Imp]
subseq [in IndProp]

T

time [in IndPrinciples]
total_relation [in IndProp]
total_relation [in Rel]
Toy [in IndPrinciples]
tree [in IndPrinciples]
TuplePlayground.bit [in Basics]
TuplePlayground.nybble [in Basics]
t_tree [in IndPrinciples]

W

wrong_ev [in IndProp]

Definition Index

A

B

C

c [in IndProp]
ceval_example2 [in Imp]
ceval_example1 [in Imp]
ceval_sind [in Imp]
ceval_ind [in Imp]
ceval_fun_no_while [in Imp]
ceval_example1 [in Auto]
ceval_step [in ImpCEvalFun]
ceval_step3 [in ImpCEvalFun]
ceval_step2 [in ImpCEvalFun]
ceval_step1 [in ImpCEvalFun]
ceval'_example1 [in Auto]
chartype_sind [in ImpParser]
chartype_rec [in ImpParser]
chartype_ind [in ImpParser]
chartype_rect [in ImpParser]
classifyChar [in ImpParser]
clos_trans_sind [in IndProp]
clos_trans_ind [in IndProp]
clos_refl_trans_1n_sind [in Rel]
clos_refl_trans_1n_ind [in Rel]
clos_refl_trans_sind [in Rel]
clos_refl_trans_ind [in Rel]
Collatz_holds_for_12 [in IndProp]
Collatz_holds_for_sind [in IndProp]
Collatz_holds_for_ind [in IndProp]
color_sind [in Basics]
color_rec [in Basics]
color_ind [in Basics]
color_rect [in Basics]
combine [in Poly]
combine_odd_even [in Logic]
com_sind [in Imp]
com_rec [in Imp]
com_ind [in Imp]
com_rect [in Imp]
consequentia_mirabilis [in Logic]
constfun [in Poly]
constfun_example2 [in Poly]
constfun_example1 [in Poly]
constructor_example [in AltAuto]
contradiction_implies_anything [in ProofObjects]
count [in IndProp]
countoddmembers' [in Poly]
curry [in ProofObjects]

D

d [in IndProp]
day_sind [in Basics]
day_rec [in Basics]
day_ind [in Basics]
day_rect [in Basics]
derive [in IndProp]
derives [in IndProp]
de_morgan_not_or [in ProofObjects]
de_morgan_not_and_not [in Logic]
discriminate_ex₃ [in Tactics]
disc_fn [in Logic]
div2 [in IndProp]
doit3times [in Poly]
double [in Induction]
double_neg [in ProofObjects]
double_negation_elimination [in Logic]
double_bin_zero [in Induction]
double_bin [in Induction]
dup_first_two_elts [in AltAuto]

E

F

f [in IndProp]
factorial [in Basics]
fact_in_coq [in Imp]
falso [in ProofObjects]
filter [in Poly]
filter_even_gt₇ [in Poly]
firstExpect [in ImpParser]
flat_map [in Poly]
fold [in Poly]
fold_example3 [in Poly]
fold_example2 [in Poly]
fold_example1 [in Poly]
foo [in Tactics]
foo [in Basics]
foo'_sind [in IndPrinciples]
foo'_rec [in IndPrinciples]
foo'_ind [in IndPrinciples]
foo'_rect [in IndPrinciples]
forallb [in Tactics]
forallb [in Logic]
fst [in Poly]
ftrue [in Poly]
function_equality_ex₂ [in Logic]
function_equality_ex₂ [in Logic]
function_equality_ex₁ [in Logic]

H

hd_error [in Poly]

I

id_sind [in Lists]
id_rec [in Lists]
id_ind [in Lists]
id_rect [in Lists]
IffPlayground.iff [in Logic]
implies_to_or [in Logic]
imp1 [in AltAuto]
imp2 [in AltAuto]
imp3 [in AltAuto]
In [in Logic]
includedin [in Maps]
incr [in Basics]
incr [in Induction]
infinite_loop [in ProofObjects]
injection_ex₃ [in Tactics]
injective [in Logic]
In_example_2 [in Logic]
In_example_1 [in Logic]
isAlpha [in ImpParser]
isDigit [in ImpParser]
isLowerAlpha [in ImpParser]
isred [in Basics]
isWhite [in ImpParser]
is_even_prime [in Logic]
is_even_prime [in Logic]
is_three [in Logic]
is_der [in IndProp]
is_fortytwo [in Auto]
is_fortytwo [in AltAuto]

L

M

manual_grade_for_split_combine [in Tactics]
manual_grade_for_informal_proof [in Tactics]
manual_grade_for_negation_fn_applied_twice [in Basics]
manual_grade_for_informal_not_PNP [in Logic]
manual_grade_for_double_neg_inf [in Logic]
manual_grade_for_check_repeats [in IndProp]
manual_grade_for_NoDup_disjoint_etc [in IndProp]
manual_grade_for_nostutter [in IndProp]
manual_grade_for_no_whiles_terminating [in Imp]
manual_grade_for_XtimesYinZ_spec [in Imp]
manual_grade_for_eqb_refl_informal [in Induction]
manual_grade_for_add_comm_informal [in Induction]
manual_grade_for_ceval_step__ceval_inf [in ImpCEvalFun]
manual_grade_for_nor_intuition [in AltAuto]
manual_grade_for_pumping_redux_strong [in AltAuto]
manual_grade_for_pumping_redux [in AltAuto]
manual_grade_for_re_opt_match'' [in AltAuto]
manual_grade_for_re_opt [in AltAuto]
many [in ImpParser]
many_helper [in ImpParser]
map [in Poly]
matches_regex [in IndProp]
match_eps [in IndProp]
merge_sind [in IndProp]
merge_rec [in IndProp]
merge_ind [in IndProp]
merge_rect [in IndProp]
minustwo [in Basics]
monochrome [in Basics]
MumbleGrumble.grumble_sind [in Poly]
MumbleGrumble.grumble_rec [in Poly]
MumbleGrumble.grumble_ind [in Poly]
MumbleGrumble.grumble_rect [in Poly]
MumbleGrumble.mumble_sind [in Poly]
MumbleGrumble.mumble_rec [in Poly]
MumbleGrumble.mumble_ind [in Poly]
MumbleGrumble.mumble_rect [in Poly]
mynil [in Poly]
mynil [in Poly]
mynil' [in Poly]

N

O

odd [in Basics]
optionE_sind [in ImpParser]
optionE_rec [in ImpParser]
optionE_ind [in ImpParser]
optionE_rect [in ImpParser]
OptionPlayground.option_sind [in Poly]
OptionPlayground.option_rec [in Poly]
OptionPlayground.option_ind [in Poly]
OptionPlayground.option_rect [in Poly]
option_map [in Poly]
orb [in Basics]
orb' [in Basics]
order [in Rel]
or_distributes_over_and [in ProofObjects]
or_bogus [in ProofObjects]

P

R

reaches_1_in [in IndProp]
redundant_match [in AltAuto]
reflect [in IndPrinciples]
reflect_sind [in IndProp]
reflect_ind [in IndProp]
reflexive [in Rel]
refl_matches_eps [in IndProp]
regex_match [in IndProp]
reg_exp_ex₄ [in IndProp]
reg_exp_of_list [in IndProp]
reg_exp_ex₃ [in IndProp]
reg_exp_ex₂ [in IndProp]
reg_exp_ex₁ [in IndProp]
reg_exp_sind [in IndProp]
reg_exp_rec [in IndProp]
reg_exp_ind [in IndProp]
reg_exp_rect [in IndProp]
relation [in Rel]
repeat [in Poly]
repeats_sind [in IndProp]
repeats_rec [in IndProp]
repeats_ind [in IndProp]
repeats_rect [in IndProp]
repeat' [in Poly]
repeat'' [in Poly]
repeat''' [in Poly]
Repeat.ceval_sind [in Auto]
Repeat.ceval_ind [in Auto]
Repeat.com_sind [in Auto]
Repeat.com_rec [in Auto]
Repeat.com_ind [in Auto]
Repeat.com_rect [in Auto]
rev [in Poly]
rev_append [in Logic]
re_not_empty [in IndProp]
re_chars [in IndProp]
re_opt [in AltAuto]
re_opt_e [in AltAuto]
rgb_sind [in Basics]
rgb_rec [in Basics]
rgb_ind [in Basics]
rgb_rect [in Basics]
rgb_sind [in IndPrinciples]
rgb_rec [in IndPrinciples]
rgb_ind [in IndPrinciples]
rgb_rect [in IndPrinciples]
R.fR [in IndProp]
R.manual_grade_for_R_provability [in IndProp]
R.R_sind [in IndProp]
R.R_ind [in IndProp]

S

sat_ex₂ [in AltAuto]
sat_ex₁ [in AltAuto]
sillyfun [in Tactics]
sillyfun1 [in Tactics]
sinstr_sind [in Imp]
sinstr_rec [in Imp]
sinstr_ind [in Imp]
sinstr_rect [in Imp]
snd [in Poly]
split [in Tactics]
split [in Poly]
split_combine_statement [in Tactics]
square [in Tactics]
state [in Imp]
string [in IndProp]
string_of_list [in ImpParser]
subseq_sind [in IndProp]
subseq_rec [in IndProp]
subseq_ind [in IndProp]
subseq_rect [in IndProp]
subtract_3_from_5_slowly [in Imp]
subtract_slowly [in Imp]
subtract_slowly_body [in Imp]
symmetric [in Rel]
s_compile1 [in Imp]
s_compile [in Imp]
s_execute2 [in Imp]
s_execute1 [in Imp]
s_execute [in Imp]

T

U

uncurry [in ProofObjects]
update [in Maps]
update_example4 [in Maps]
update_example3 [in Maps]
update_example2 [in Maps]
update_example1 [in Maps]

W

W [in Imp]

X

X [in Imp]
XtimesYinZ [in Imp]

Y

Y [in Imp]

Z

Z [in Imp]

Global Index

other

(1920 entries)

Notation Index

other

(87 entries)

Module Index

other

(33 entries)

Library Index

other

(20 entries)

Lemma Index

other

(498 entries)

Constructor Index

other

(262 entries)

Axiom Index

other

(2 entries)

Inductive Index

other

(99 entries)

Definition Index

other

(919 entries)

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