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 _ other (2579 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (61 entries)
Binder 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 _ other (1543 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 _ other (25 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 _ other (15 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 _ other (340 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 _ other (179 entries)
Axiom Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (2 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 _ other (58 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 _ other (356 entries)

Global Index

A

add_comm3_take3 [lemma, in Logic]
add_comm3_take2 [lemma, in Logic]
add_comm3 [lemma, in Logic]
add_shuffle3 [lemma, in Induction]
add_assoc'' [lemma, in Induction]
add_assoc' [lemma, in Induction]
add_assoc [lemma, in Induction]
add_comm [lemma, in Induction]
add_0_r [lemma, in Induction]
add_0_r_secondtry [lemma, in Induction]
add_0_r_firsttry [lemma, in Induction]
add_comm'' [lemma, in IndPrinciples]
add_comm' [lemma, in IndPrinciples]
add_assoc' [lemma, in IndPrinciples]
add_le_cases [lemma, in IndProp]
add_assoc_from_induction [lemma, in AltAuto]
add_assoc' [lemma, in AltAuto]
add_assoc [lemma, in AltAuto]
add1 [definition, in ProofObjects]
admit [definition, in ProofObjects]
aeval [definition, in Imp]
_ ==> _ (type_scope) [notation, in Imp]
aevalR_extended.E_AMult [constructor, in Imp]
aevalR_extended.E_AMinus [constructor, in Imp]
aevalR_extended.E_APlus [constructor, in Imp]
aevalR_extended.E_ANum [constructor, in Imp]
aevalR_extended.E_Any [constructor, in Imp]
aevalR_extended.aevalR [inductive, in Imp]
aevalR_extended.AMult [constructor, in Imp]
aevalR_extended.AMinus [constructor, in Imp]
aevalR_extended.APlus [constructor, in Imp]
aevalR_extended.ANum [constructor, in Imp]
aevalR_extended.AAny [constructor, in Imp]
aevalR_extended.aexp [inductive, in Imp]
aevalR_extended [module, in Imp]
_ ==> _ (type_scope) [notation, in Imp]
aevalR_division.E_ADiv [constructor, in Imp]
aevalR_division.E_AMult [constructor, in Imp]
aevalR_division.E_AMinus [constructor, in Imp]
aevalR_division.E_APlus [constructor, in Imp]
aevalR_division.E_ANum [constructor, in Imp]
aevalR_division.aevalR [inductive, in Imp]
aevalR_division.ADiv [constructor, in Imp]
aevalR_division.AMult [constructor, in Imp]
aevalR_division.AMinus [constructor, in Imp]
aevalR_division.APlus [constructor, in Imp]
aevalR_division.ANum [constructor, in Imp]
aevalR_division.aexp [inductive, in Imp]
aevalR_division [module, in Imp]
aexp [inductive, in Imp]
AExp [module, in Imp]
AExp.add_assoc__lia [definition, in Imp]
AExp.add_comm__lia [definition, in Imp]
AExp.aeval [definition, in Imp]
AExp.aevalR [inductive, in Imp]
_ ==> _ (type_scope) [notation, in Imp]
AExp.aevalR_first_try.HypothesisNames.E_AMult [constructor, in Imp]
AExp.aevalR_first_try.HypothesisNames.E_AMinus [constructor, in Imp]
AExp.aevalR_first_try.HypothesisNames.E_APlus [constructor, in Imp]
AExp.aevalR_first_try.HypothesisNames.E_ANum [constructor, in Imp]
AExp.aevalR_first_try.HypothesisNames.aevalR [inductive, in Imp]
AExp.aevalR_first_try.HypothesisNames [module, in Imp]
AExp.aevalR_first_try.E_AMult [constructor, in Imp]
AExp.aevalR_first_try.E_AMinus [constructor, in Imp]
AExp.aevalR_first_try.E_APlus [constructor, in Imp]
AExp.aevalR_first_try.E_ANum [constructor, in Imp]
AExp.aevalR_first_try.aevalR [inductive, in Imp]
AExp.aevalR_first_try [module, in Imp]
AExp.aeval_iff_aevalR' [lemma, in Imp]
AExp.aeval_iff_aevalR [lemma, 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.BEAnd [constructor, in Imp]
AExp.BEEq [constructor, in Imp]
AExp.BEFalse [constructor, in Imp]
AExp.BEGt [constructor, in Imp]
AExp.BELe [constructor, in Imp]
AExp.BENeq [constructor, in Imp]
AExp.BENot [constructor, in Imp]
AExp.BEq [constructor, in Imp]
AExp.BETrue [constructor, in Imp]
AExp.beval [definition, in Imp]
AExp.bevalR [inductive, in Imp]
AExp.beval_iff_bevalR [lemma, in Imp]
AExp.bexp [inductive, in Imp]
AExp.BFalse [constructor, in Imp]
AExp.BGt [constructor, in Imp]
AExp.BLe [constructor, in Imp]
AExp.BNeq [constructor, in Imp]
AExp.BNot [constructor, in Imp]
AExp.BTrue [constructor, in Imp]
AExp.E_AMult [constructor, in Imp]
AExp.E_AMinus [constructor, in Imp]
AExp.E_APlus [constructor, in Imp]
AExp.E_ANum [constructor, in Imp]
AExp.foo [lemma, in Imp]
AExp.foo' [lemma, in Imp]
AExp.invert_example1 [lemma, in Imp]
AExp.In10 [lemma, in Imp]
AExp.In10' [lemma, in Imp]
AExp.optimize_0plus_b_sound [lemma, in Imp]
AExp.optimize_0plus_b [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 [definition, in Imp]
AExp.repeat_loop [lemma, in Imp]
AExp.silly_presburger_example [definition, in Imp]
AExp.silly1 [lemma, in Imp]
AExp.silly2 [lemma, in Imp]
AExp.test_optimize_0plus [definition, in Imp]
AExp.test_aeval1 [definition, in Imp]
_ ==>b _ (type_scope) [notation, in Imp]
_ ==> _ (type_scope) [notation, in Imp]
aexp1 [definition, in Imp]
aexp2 [definition, in Imp]
ae:33 [binder, in Imp]
AId [constructor, in Imp]
All [definition, in Logic]
All_In [lemma, in Logic]
AltAuto [library]
AMinus [constructor, in Imp]
AMult [constructor, in Imp]
andb [definition, in Basics]
andb_eq_orb [lemma, in Basics]
andb_commutative'' [lemma, in Basics]
andb_true_elim2 [lemma, in Basics]
andb_commutative' [lemma, in Basics]
andb_commutative [lemma, in Basics]
andb_true_iff [lemma, in Logic]
andb_eq_orb [lemma, in AltAuto]
andb' [definition, in Basics]
andb3 [definition, in Basics]
andb3_exchange [lemma, in Basics]
and_assoc [definition, in ProofObjects]
and_assoc [lemma, in Logic]
and_commut [lemma, in Logic]
and_example3 [lemma, in Logic]
and_example2'' [lemma, in Logic]
and_example2' [lemma, in Logic]
and_example2 [lemma, in Logic]
and_exercise [definition, in Logic]
and_example' [definition, in Logic]
and_intro [lemma, in Logic]
and_example [definition, in Logic]
ANum [constructor, in Imp]
APlus [constructor, in Imp]
app [definition, in Poly]
App [constructor, in IndProp]
apply_iff_example2 [lemma, in Logic]
apply_iff_example1 [lemma, in Logic]
apply_empty [lemma, in Maps]
app_length [lemma, in Poly]
app_assoc [lemma, in Poly]
app_nil_r [lemma, in Poly]
app_length' [lemma, in AltAuto]
app_length [lemma, in AltAuto]
auto_example_8 [definition, in AltAuto]
auto_example_7' [definition, in AltAuto]
auto_example_7 [definition, in AltAuto]
auto_example_6' [definition, in AltAuto]
auto_example_6 [definition, in AltAuto]
auto_example_5 [definition, in AltAuto]
auto_example_4 [definition, in AltAuto]
auto_example_3 [definition, in AltAuto]
auto_example_2 [definition, in AltAuto]
auto_example_1' [definition, in AltAuto]
auto_example_1 [definition, in AltAuto]
a1:113 [binder, in Imp]
a1:117 [binder, in Imp]
a1:12 [binder, in Imp]
a1:121 [binder, in Imp]
a1:125 [binder, in Imp]
a1:14 [binder, in Imp]
a1:140 [binder, in Imp]
a1:142 [binder, in Imp]
a1:144 [binder, in Imp]
a1:146 [binder, in Imp]
a1:151 [binder, in Imp]
a1:155 [binder, in Imp]
a1:159 [binder, in Imp]
a1:16 [binder, in Imp]
a1:163 [binder, in Imp]
a1:171 [binder, in Imp]
a1:173 [binder, in Imp]
a1:175 [binder, in Imp]
a1:18 [binder, in Imp]
a1:181 [binder, in Imp]
a1:185 [binder, in Imp]
a1:187 [binder, in Logic]
a1:189 [binder, in Imp]
a1:197 [binder, in Imp]
a1:199 [binder, in Imp]
a1:201 [binder, in Imp]
a1:205 [binder, in Imp]
a1:207 [binder, in Imp]
a1:209 [binder, in Imp]
a1:211 [binder, in Imp]
a1:4 [binder, in Imp]
a1:6 [binder, in Imp]
a1:8 [binder, in Imp]
a2:114 [binder, in Imp]
a2:118 [binder, in Imp]
a2:122 [binder, in Imp]
a2:126 [binder, in Imp]
a2:13 [binder, in Imp]
a2:141 [binder, in Imp]
a2:143 [binder, in Imp]
a2:145 [binder, in Imp]
a2:147 [binder, in Imp]
a2:15 [binder, in Imp]
a2:152 [binder, in Imp]
a2:156 [binder, in Imp]
a2:160 [binder, in Imp]
a2:164 [binder, in Imp]
a2:17 [binder, in Imp]
a2:172 [binder, in Imp]
a2:174 [binder, in Imp]
a2:176 [binder, in Imp]
a2:182 [binder, in Imp]
a2:186 [binder, in Imp]
a2:188 [binder, in Logic]
a2:19 [binder, in Imp]
a2:190 [binder, in Imp]
a2:198 [binder, in Imp]
a2:200 [binder, in Imp]
a2:202 [binder, in Imp]
a2:206 [binder, in Imp]
a2:208 [binder, in Imp]
a2:210 [binder, in Imp]
a2:212 [binder, in Imp]
a2:5 [binder, in Imp]
a2:7 [binder, in Imp]
a2:9 [binder, in Imp]
A:10 [binder, in Logic]
A:104 [binder, in Logic]
a:107 [binder, in Imp]
a:109 [binder, in Imp]
A:109 [binder, in Logic]
A:11 [binder, in Logic]
A:11 [binder, in Maps]
A:115 [binder, in Logic]
a:118 [binder, in Logic]
A:139 [binder, in Logic]
a:153 [binder, in AltAuto]
a:157 [binder, in AltAuto]
A:16 [binder, in Maps]
a:161 [binder, in AltAuto]
A:178 [binder, in Logic]
a:18 [binder, in Tactics]
A:185 [binder, in Logic]
A:19 [binder, in Maps]
a:217 [binder, in Imp]
a:227 [binder, in Imp]
a:23 [binder, in Imp]
A:23 [binder, in Maps]
a:244 [binder, in Imp]
a:28 [binder, in Tactics]
A:28 [binder, in Maps]
a:29 [binder, in Imp]
a:32 [binder, in Imp]
A:32 [binder, in Logic]
A:33 [binder, in Maps]
a:34 [binder, in Tactics]
A:36 [binder, in Maps]
a:37 [binder, in Imp]
a:38 [binder, in Imp]
A:42 [binder, in Maps]
A:43 [binder, in Maps]
a:44 [binder, in Imp]
A:44 [binder, in Maps]
A:48 [binder, in Maps]
A:5 [binder, in Logic]
A:50 [binder, in Maps]
A:54 [binder, in Maps]
A:55 [binder, in Poly]
A:59 [binder, in Maps]
A:61 [binder, in ProofObjects]
A:64 [binder, in Maps]
a:65 [binder, in IndProp]
A:67 [binder, in Tactics]
A:68 [binder, in AltAuto]
A:68 [binder, in Maps]
A:74 [binder, in Maps]
A:75 [binder, in AltAuto]
A:79 [binder, in Maps]
A:8 [binder, in Maps]
A:9 [binder, in Maps]
A:97 [binder, in Logic]


B

b [definition, in Basics]
BAnd [constructor, in Imp]
bar [definition, in Tactics]
base:71 [binder, in Basics]
Basics [library]
BEq [constructor, in Imp]
beval [definition, in Imp]
bexp [inductive, in Imp]
bexp1 [definition, in Imp]
BFalse [constructor, in Imp]
BGt [constructor, in Imp]
Bib [library]
bin1 [module, in IndProp]
bin1.bin [inductive, 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.B0 [constructor, in IndProp]
bin2.B1 [constructor, in IndProp]
bin2.Z [constructor, in IndProp]
bin3 [module, in IndProp]
bin3.bin [inductive, 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]
BNeq [constructor, in Imp]
BNot [constructor, in Imp]
bool [inductive, in Basics]
boollist [inductive, in Poly]
bool_fn_applied_thrice [lemma, in Tactics]
bool_cons [constructor, in Poly]
bool_nil [constructor, in Poly]
BTrue [constructor, in Imp]
build_proof [definition, in IndPrinciples]
bv:136 [binder, in Imp]
b0:38 [binder, in Basics]
b1:12 [binder, in Basics]
b1:131 [binder, in Imp]
b1:16 [binder, in Basics]
b1:172 [binder, in Logic]
b1:174 [binder, in Logic]
b1:18 [binder, in Basics]
b1:20 [binder, in Basics]
b1:21 [binder, in Imp]
b1:214 [binder, in Imp]
b1:22 [binder, in Basics]
b1:39 [binder, in Basics]
b1:9 [binder, in Basics]
b2:10 [binder, in Basics]
b2:13 [binder, in Basics]
b2:132 [binder, in Imp]
b2:17 [binder, in Basics]
b2:173 [binder, in Logic]
b2:175 [binder, in Logic]
b2:19 [binder, in Basics]
b2:21 [binder, in Basics]
b2:215 [binder, in Imp]
b2:22 [binder, in Imp]
b2:23 [binder, in Basics]
b2:40 [binder, in Basics]
b3:24 [binder, in Basics]
b3:41 [binder, in Basics]
b:105 [binder, in Basics]
B:105 [binder, in Logic]
b:106 [binder, in Basics]
b:108 [binder, in Basics]
b:110 [binder, in Basics]
B:110 [binder, in Logic]
b:113 [binder, in Basics]
b:116 [binder, in Basics]
B:12 [binder, in Logic]
b:121 [binder, in Basics]
b:122 [binder, in Basics]
b:124 [binder, in Tactics]
b:129 [binder, in Imp]
b:13 [binder, in AltAuto]
b:135 [binder, in Imp]
b:148 [binder, in Poly]
b:15 [binder, in Basics]
b:154 [binder, in AltAuto]
b:158 [binder, in AltAuto]
b:162 [binder, in AltAuto]
b:19 [binder, in Tactics]
b:20 [binder, in Imp]
b:201 [binder, in Logic]
b:213 [binder, in Imp]
b:221 [binder, in Imp]
b:230 [binder, in Imp]
b:233 [binder, in Imp]
b:241 [binder, in IndProp]
b:243 [binder, in IndProp]
b:254 [binder, in Imp]
b:259 [binder, in Imp]
b:26 [binder, in Imp]
b:262 [binder, in Imp]
b:268 [binder, in Imp]
b:29 [binder, in Tactics]
b:3 [binder, in Poly]
B:33 [binder, in Logic]
b:35 [binder, in Tactics]
b:41 [binder, in Imp]
b:43 [binder, in Imp]
b:45 [binder, in Imp]
b:51 [binder, in Logic]
b:52 [binder, in Logic]
B:6 [binder, in Logic]
b:60 [binder, in Logic]
b:66 [binder, in IndProp]
B:68 [binder, in Tactics]
B:69 [binder, in AltAuto]
b:7 [binder, in Basics]
B:76 [binder, in AltAuto]
b:78 [binder, in Tactics]


C

CAsgn [constructor, in Imp]
ceval [inductive, in Imp]
ceval_deterministic [lemma, in Imp]
ceval_example2 [definition, in Imp]
ceval_example1 [definition, in Imp]
ceval_fun_no_while [definition, in Imp]
Char [constructor, in IndProp]
CIf [constructor, in Imp]
clos_trans [inductive, in IndProp]
collatz [axiom, in IndProp]
color [inductive, in Basics]
com [inductive, in Imp]
combine [definition, in Poly]
combine_split [lemma, in Tactics]
cons [constructor, in Poly]
constfun [definition, in Poly]
constfun_example2 [definition, in Poly]
constfun_example1 [definition, in Poly]
constructor_example [definition, in AltAuto]
cons' [constructor, in Poly]
contradiction_implies_anything [definition, in ProofObjects]
contradiction_implies_anything [lemma, in Logic]
contrapositive [lemma, in Logic]
contras [lemma, in AltAuto]
contras' [lemma, in AltAuto]
contra:75 [binder, in ProofObjects]
count [definition, in IndProp]
countoddmembers' [definition, in Poly]
count:14 [binder, in Poly]
count:19 [binder, in Poly]
count:25 [binder, in Lists]
count:26 [binder, in Poly]
count:31 [binder, in Poly]
CSeq [constructor, in Imp]
CSkip [constructor, in Imp]
curry [definition, in ProofObjects]
CWhile [constructor, in Imp]
c1:228 [binder, in Imp]
c1:231 [binder, in Imp]
c1:247 [binder, in Imp]
c1:255 [binder, in Imp]
c1:260 [binder, in Imp]
c2:229 [binder, in Imp]
c2:232 [binder, in Imp]
c2:248 [binder, in Imp]
c2:256 [binder, in Imp]
c2:261 [binder, in Imp]
c:107 [binder, in Basics]
c:109 [binder, in Basics]
c:111 [binder, in Basics]
c:114 [binder, in Basics]
c:117 [binder, in Basics]
c:123 [binder, in Basics]
c:14 [binder, in AltAuto]
c:155 [binder, in AltAuto]
c:159 [binder, in AltAuto]
c:163 [binder, in AltAuto]
c:20 [binder, in Tactics]
c:234 [binder, in Imp]
c:236 [binder, in Imp]
c:264 [binder, in Imp]
c:269 [binder, in Imp]
c:270 [binder, in Imp]
c:30 [binder, in Tactics]
c:30 [binder, in Basics]
c:32 [binder, in Basics]
c:36 [binder, in Tactics]
c:46 [binder, in Imp]
C:70 [binder, in AltAuto]
C:77 [binder, in AltAuto]


D

day [inductive, in Basics]
day [constructor, in IndPrinciples]
default:107 [binder, in Lists]
default:35 [binder, in Lists]
de_morgan_not_or [definition, in ProofObjects]
de_morgan_not_or [lemma, in Logic]
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_neg [lemma, in Logic]
double_plus [lemma, in Induction]
d:102 [binder, in Lists]
d:112 [binder, in Basics]
d:121 [binder, in Lists]
d:125 [binder, in Lists]
d:128 [binder, in Lists]
d:131 [binder, in Lists]
d:156 [binder, in AltAuto]
d:160 [binder, in AltAuto]
d:164 [binder, in AltAuto]
d:21 [binder, in Tactics]
d:3 [binder, in Basics]
d:31 [binder, in Tactics]
d:37 [binder, in Tactics]


E

empty [definition, in Maps]
EmptySet [constructor, in IndProp]
EmptyStr [constructor, in IndProp]
empty_st [definition, in Imp]
empty_is_empty [lemma, in IndProp]
eqb [definition, in Basics]
eqbP [lemma, in IndProp]
eqbP_practice [lemma, in IndProp]
eqb_id_refl [lemma, in Lists]
eqb_id [definition, in Lists]
eqb_trans [lemma, in Tactics]
eqb_sym [lemma, in Tactics]
eqb_true [lemma, in Tactics]
eqb_0_l [lemma, in Tactics]
eqb_list_true_iff [lemma, in Logic]
eqb_list [definition, in Logic]
eqb_neq [lemma, in Logic]
eqb_eq [lemma, in Logic]
eqb_refl [lemma, in Induction]
eqb:179 [binder, in Logic]
eqb:186 [binder, in Logic]
EqualityPlayground [module, in ProofObjects]
EqualityPlayground.eq [inductive, in ProofObjects]
EqualityPlayground.equality__leibniz_equality_term [definition, in ProofObjects]
EqualityPlayground.equality__leibniz_equality [lemma, in ProofObjects]
EqualityPlayground.eq_cons [definition, in ProofObjects]
EqualityPlayground.eq_add' [lemma, in ProofObjects]
EqualityPlayground.eq_add [definition, in ProofObjects]
EqualityPlayground.eq_refl [constructor, in ProofObjects]
EqualityPlayground.four [lemma, in ProofObjects]
EqualityPlayground.four' [definition, in ProofObjects]
EqualityPlayground.leibniz_equality__equality [lemma, in ProofObjects]
EqualityPlayground.singleton [definition, in ProofObjects]
_ == _ (type_scope) [notation, in ProofObjects]
eq_implies_succ_equal' [lemma, in Tactics]
eq_implies_succ_equal [lemma, in Tactics]
eq_example3 [lemma, in AltAuto]
eq_example2 [lemma, in AltAuto]
eq_example1' [lemma, in AltAuto]
eq_example1 [lemma, in AltAuto]
ev [inductive, in ProofObjects]
ev [inductive, in IndProp]
even [definition, in Basics]
Even [definition, in Logic]
even_1000'' [definition, in Logic]
even_1000' [definition, in Logic]
even_1000 [definition, in Logic]
even_bool_prop [lemma, in Logic]
even_double_conv [lemma, in Logic]
even_double [lemma, in Logic]
even_42_prop [definition, in Logic]
even_42_bool [definition, in Logic]
even_S [lemma, in Induction]
even_ev [lemma, in IndPrinciples]
even_ev [lemma, in IndPrinciples]
evPO:70 [binder, in IndPrinciples]
evPS:72 [binder, in IndPrinciples]
evSS_ev' [lemma, in IndProp]
evSS_ev [lemma, in IndProp]
ev_8_atmpt_5 [definition, in ProofObjects]
ev_8_atmpt_4 [definition, in ProofObjects]
ev_8_atmpt_3 [definition, in ProofObjects]
ev_8_atmpt_2 [definition, in ProofObjects]
ev_8_atmpt_1 [definition, in ProofObjects]
ev_plus2'' [definition, in ProofObjects]
ev_plus2' [definition, in ProofObjects]
ev_plus2 [definition, in ProofObjects]
ev_plus4'' [definition, in ProofObjects]
ev_plus4' [definition, in ProofObjects]
ev_plus4 [lemma, in ProofObjects]
ev_8' [definition, in ProofObjects]
ev_8 [lemma, in ProofObjects]
ev_4''' [definition, in ProofObjects]
ev_4'' [lemma, in ProofObjects]
ev_4' [lemma, in ProofObjects]
ev_4 [lemma, in ProofObjects]
ev_SS [constructor, in ProofObjects]
ev_0 [constructor, in ProofObjects]
ev_ev' [lemma, in IndPrinciples]
ev_ev__ev [lemma, in IndProp]
ev_sum [lemma, in IndProp]
ev_Even_iff [lemma, in IndProp]
ev_Even [lemma, in IndProp]
ev_Even_firsttry [lemma, in IndProp]
ev_inversion [lemma, in IndProp]
ev_double [lemma, in IndProp]
ev_plus4 [lemma, in IndProp]
ev_4' [lemma, in IndProp]
ev_4 [lemma, in IndProp]
ev_SS [constructor, in IndProp]
ev_0 [constructor, in IndProp]
ev' [inductive, in IndPrinciples]
ev'_sum [constructor, in IndPrinciples]
ev'_2 [constructor, in IndPrinciples]
ev'_0 [constructor, in IndPrinciples]
ev100 [lemma, in AltAuto]
ev5_nonsense [lemma, in IndProp]
examplemap [definition, in Maps]
examplemap' [definition, in Maps]
examplepmap [definition, in Maps]
example_bexp [definition, in Imp]
example_aexp [definition, in Imp]
example_empty [definition, in Maps]
excluded_middle_irrefutable [lemma, in Logic]
excluded_middle [definition, in Logic]
execute_app [lemma, in Imp]
Exercises [module, in Poly]
Exercises.fold_length_correct [lemma, in Poly]
Exercises.fold_length [definition, in Poly]
Exercises.test_fold_length1 [definition, in Poly]
exists_example_2 [lemma, in Logic]
exp [definition, in Basics]
exp_match [inductive, in IndProp]
ex_falso_quodlibet [lemma, in Logic]
E_WhileTrue [constructor, in Imp]
E_WhileFalse [constructor, in Imp]
E_IfFalse [constructor, in Imp]
E_IfTrue [constructor, in Imp]
E_Seq [constructor, in Imp]
E_Asgn [constructor, in Imp]
E_Skip [constructor, in Imp]
e1:103 [binder, in Imp]
e1:59 [binder, in Imp]
e1:63 [binder, in Imp]
e1:67 [binder, in Imp]
e1:74 [binder, in Imp]
e1:80 [binder, in Imp]
e1:86 [binder, in Imp]
e1:95 [binder, in Imp]
e1:99 [binder, in Imp]
e2:100 [binder, in Imp]
e2:104 [binder, in Imp]
e2:60 [binder, in Imp]
e2:64 [binder, in Imp]
e2:68 [binder, in Imp]
e2:75 [binder, in Imp]
e2:81 [binder, in Imp]
e2:87 [binder, in Imp]
e2:96 [binder, in Imp]
E:14 [binder, in ProofObjects]
e:22 [binder, in Tactics]
e:282 [binder, in Imp]
e:290 [binder, in Imp]
e:293 [binder, in Imp]
e:32 [binder, in Tactics]
e:38 [binder, in Tactics]


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]
filter [definition, in Poly]
filter_exercise [lemma, in Tactics]
filter_even_gt7 [definition, in Poly]
filter_not_empty_In' [lemma, in IndProp]
filter_not_empty_In [lemma, in IndProp]
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:49 [binder, in Basics]
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]
f:103 [binder, in Poly]
f:106 [binder, in Logic]
f:111 [binder, in Logic]
f:119 [binder, in Basics]
f:123 [binder, in Tactics]
f:123 [binder, in Poly]
f:131 [binder, in Poly]
f:135 [binder, in Poly]
f:141 [binder, in Poly]
f:146 [binder, in Poly]
f:156 [binder, in Logic]
f:23 [binder, in Tactics]
f:33 [binder, in Tactics]
f:39 [binder, in Tactics]
f:69 [binder, in Tactics]
f:7 [binder, in Logic]
f:71 [binder, in AltAuto]
f:78 [binder, in AltAuto]
f:83 [binder, in Lists]


G

green [constructor, in Basics]
g:157 [binder, in Logic]
g:72 [binder, in AltAuto]
g:79 [binder, in AltAuto]


H

Heq:90 [binder, in ProofObjects]
Hm:44 [binder, in IndPrinciples]
Hn:43 [binder, in IndPrinciples]
HPQ:52 [binder, in ProofObjects]
HPR:53 [binder, in ProofObjects]
HP:43 [binder, in ProofObjects]
HQR:54 [binder, in ProofObjects]
hyp_name [lemma, in AltAuto]
H1:142 [binder, in IndProp]
H1:147 [binder, in IndProp]
H1:156 [binder, in IndProp]
H1:78 [binder, in Imp]
H1:84 [binder, in Imp]
H1:90 [binder, in Imp]
h1:95 [binder, in ProofObjects]
H2:143 [binder, in IndProp]
H2:151 [binder, in IndProp]
H2:157 [binder, in IndProp]
H2:79 [binder, in Imp]
H2:85 [binder, in Imp]
H2:91 [binder, in Imp]
h2:96 [binder, in ProofObjects]
H:103 [binder, in IndProp]
H:107 [binder, in IndProp]
H:11 [binder, in ProofObjects]
H:238 [binder, in IndProp]
H:239 [binder, in IndProp]
H:28 [binder, in ProofObjects]
H:29 [binder, in IndProp]
H:4 [binder, in ProofObjects]
H:55 [binder, in IndPrinciples]
h:87 [binder, in AltAuto]
H:9 [binder, in ProofObjects]


I

Id [constructor, in Lists]
id [inductive, in Lists]
identity_fn_applied_twice [lemma, in Basics]
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]
In [definition, in Logic]
includedin [definition, in Maps]
includedin_update [lemma, in Maps]
IndPrinciples [library]
IndProp [library]
Induction [library]
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_re_match [lemma, in IndProp]
In10 [lemma, in AltAuto]
In10' [lemma, in AltAuto]
isred [definition, in Basics]
is_even_prime [definition, in Logic]
is_three [definition, in Logic]
is_fortytwo [definition, in AltAuto]
i:118 [binder, in Lists]


J

j:56 [binder, in Tactics]
j:65 [binder, in Tactics]


K

k':45 [binder, in IndProp]
k':47 [binder, in IndProp]
k:153 [binder, in Poly]
k:162 [binder, in Logic]
k:164 [binder, in Logic]


L

leb [definition, in Basics]
leb_refl [lemma, in Induction]
leb_true_trans [lemma, in IndProp]
leb_iff [lemma, in IndProp]
leb_correct [lemma, in IndProp]
leb_complete [lemma, in IndProp]
lemma_application_ex [definition, in Logic]
length [definition, in Poly]
length_is_1 [definition, in Poly]
LePlayground [module, in IndProp]
LePlayground.le [inductive, in IndProp]
LePlayground.le_S [constructor, in IndProp]
LePlayground.le_n [constructor, in IndProp]
le_plus_trans [lemma, in IndProp]
le_plus_l [lemma, in IndProp]
le_trans [lemma, in IndProp]
le_antisym [lemma, in AltAuto]
le1 [inductive, in IndPrinciples]
le1_S [constructor, in IndPrinciples]
le1_n [constructor, in IndPrinciples]
le2 [inductive, in IndPrinciples]
le2_S [constructor, in IndPrinciples]
le2_n [constructor, in IndPrinciples]
lf:134 [binder, in Tactics]
lia_fail2 [lemma, in AltAuto]
lia_fail1 [lemma, in AltAuto]
lia_succeed2 [lemma, in AltAuto]
lia_succeed1 [lemma, in AltAuto]
list [inductive, in Poly]
Lists [library]
list' [inductive, in Poly]
list123 [definition, in Poly]
list123' [definition, in Poly]
list123'' [definition, in Poly]
list123''' [definition, in Poly]
Logic [library]
loop [definition, in Imp]
lst1:21 [binder, in AltAuto]
lst1:27 [binder, in AltAuto]
lst1:30 [binder, in AltAuto]
lst2:22 [binder, in AltAuto]
lst2:28 [binder, in AltAuto]
lst2:31 [binder, in AltAuto]
lst:18 [binder, in AltAuto]
ltb [definition, in Basics]
lt_ge_cases [lemma, in IndProp]
lx:83 [binder, in Poly]
ly:84 [binder, in Poly]
l':117 [binder, in Logic]
l':17 [binder, in Tactics]
l1:101 [binder, in IndProp]
l1:105 [binder, in IndProp]
l1:109 [binder, in IndProp]
l1:112 [binder, in IndProp]
l1:118 [binder, in Tactics]
l1:180 [binder, in Logic]
l1:189 [binder, in Logic]
l1:31 [binder, in Lists]
l1:40 [binder, in Poly]
l1:45 [binder, in Lists]
l1:58 [binder, in Lists]
l1:60 [binder, in Poly]
l1:63 [binder, in Poly]
l1:65 [binder, in Lists]
l1:69 [binder, in Lists]
l1:72 [binder, in Lists]
l1:76 [binder, in Lists]
l1:78 [binder, in Lists]
l1:87 [binder, in Lists]
l2:102 [binder, in IndProp]
l2:106 [binder, in IndProp]
l2:110 [binder, in IndProp]
l2:113 [binder, in IndProp]
l2:119 [binder, in Tactics]
l2:181 [binder, in Logic]
l2:190 [binder, in Logic]
l2:32 [binder, in Lists]
l2:41 [binder, in Poly]
l2:46 [binder, in Lists]
l2:59 [binder, in Lists]
l2:61 [binder, in Poly]
l2:64 [binder, in Poly]
l2:66 [binder, in Lists]
l2:70 [binder, in Lists]
l2:73 [binder, in Lists]
l2:77 [binder, in Lists]
l2:79 [binder, in Lists]
l2:88 [binder, in Lists]
l3:111 [binder, in IndProp]
l3:114 [binder, in IndProp]
l3:60 [binder, in Lists]
l3:74 [binder, in Lists]
l4:75 [binder, in Lists]
l:105 [binder, in Lists]
l:106 [binder, in Lists]
l:107 [binder, in Logic]
l:108 [binder, in Poly]
l:108 [binder, in IndProp]
l:112 [binder, in Tactics]
l:112 [binder, in Logic]
l:112 [binder, in Poly]
l:113 [binder, in Poly]
l:115 [binder, in Poly]
l:116 [binder, in Logic]
l:116 [binder, in Poly]
l:117 [binder, in Tactics]
l:119 [binder, in Poly]
l:121 [binder, in Logic]
l:124 [binder, in Poly]
l:126 [binder, in Logic]
l:13 [binder, in IndPrinciples]
l:132 [binder, in Poly]
l:133 [binder, in Tactics]
l:136 [binder, in Poly]
l:141 [binder, in Logic]
l:142 [binder, in Logic]
l:143 [binder, in Logic]
l:144 [binder, in Logic]
l:145 [binder, in Logic]
l:146 [binder, in Logic]
l:147 [binder, in Poly]
l:155 [binder, in Poly]
l:158 [binder, in Poly]
l:159 [binder, in IndProp]
l:16 [binder, in Tactics]
l:16 [binder, in IndPrinciples]
l:17 [binder, in IndPrinciples]
l:193 [binder, in Logic]
l:197 [binder, in Logic]
l:20 [binder, in IndPrinciples]
l:213 [binder, in IndProp]
l:219 [binder, in IndProp]
l:23 [binder, in Lists]
l:23 [binder, in IndPrinciples]
l:233 [binder, in IndProp]
l:247 [binder, in IndProp]
l:250 [binder, in IndProp]
l:254 [binder, in IndProp]
l:28 [binder, in Lists]
l:36 [binder, in Lists]
l:38 [binder, in Lists]
l:38 [binder, in Poly]
l:4 [binder, in Poly]
l:40 [binder, in Lists]
l:42 [binder, in Lists]
l:44 [binder, in Lists]
l:45 [binder, in Poly]
l:49 [binder, in Poly]
l:54 [binder, in Poly]
l:55 [binder, in Tactics]
l:56 [binder, in Lists]
l:56 [binder, in Poly]
l:57 [binder, in Lists]
l:61 [binder, in Lists]
l:64 [binder, in Lists]
l:64 [binder, in Tactics]
l:66 [binder, in Poly]
l:67 [binder, in Lists]
l:68 [binder, in Lists]
l:71 [binder, in Lists]
l:81 [binder, in Lists]
l:89 [binder, in Lists]
l:9 [binder, in Poly]
l:90 [binder, in Poly]
l:97 [binder, in Lists]
l:97 [binder, in Tactics]
l:97 [binder, in Poly]
l:99 [binder, in Logic]
l:99 [binder, in IndProp]


M

many_eq' [lemma, in AltAuto]
many_eq [lemma, in AltAuto]
map [definition, in Poly]
MApp [constructor, in IndProp]
Maps [library]
map_rev [lemma, in Poly]
MChar [constructor, in IndProp]
MEmpty [constructor, in IndProp]
minustwo [definition, in Basics]
minus_n_n [lemma, in Induction]
monday [constructor, in Basics]
monochrome [definition, in Basics]
MStarApp [constructor, in IndProp]
MStar' [lemma, in IndProp]
MStar0 [constructor, in IndProp]
MStar1 [lemma, in IndProp]
mult_n_1 [lemma, in Basics]
mult_n_0_m_0 [lemma, in Basics]
mult_0_l [lemma, in Basics]
mult_is_O [lemma, in Logic]
mult_assoc [lemma, in Induction]
mult_plus_distr_r [lemma, in Induction]
mult_0_plus' [lemma, in Induction]
mult_comm [lemma, in AltAuto]
mul_eq_0_ternary [lemma, in Logic]
mul_eq_0 [lemma, in Logic]
mul_comm [lemma, in Induction]
mul_0_r [lemma, in Induction]
mul_0_r'' [lemma, in IndPrinciples]
mul_0_r' [lemma, in IndPrinciples]
MUnionL [constructor, in IndProp]
MUnionR [constructor, in IndProp]
MUnion' [lemma, in IndProp]
mynil [definition, in Poly]
mynil [definition, in Poly]
mynil' [definition, in Poly]
m':76 [binder, in Maps]
m':81 [binder, in Maps]
m:100 [binder, in Tactics]
m:102 [binder, in Tactics]
m:102 [binder, in AltAuto]
m:105 [binder, in Tactics]
m:105 [binder, in AltAuto]
m:106 [binder, in Tactics]
m:107 [binder, in Tactics]
m:108 [binder, in AltAuto]
m:11 [binder, in Induction]
m:12 [binder, in Maps]
m:120 [binder, in Lists]
m:126 [binder, in Tactics]
m:128 [binder, in Tactics]
m:129 [binder, in Logic]
m:134 [binder, in AltAuto]
m:136 [binder, in AltAuto]
m:139 [binder, in AltAuto]
m:14 [binder, in Logic]
m:145 [binder, in AltAuto]
m:149 [binder, in Logic]
m:15 [binder, in Tactics]
m:152 [binder, in AltAuto]
m:16 [binder, in Lists]
m:16 [binder, in Logic]
m:16 [binder, in IndProp]
m:16 [binder, in AltAuto]
m:170 [binder, in Logic]
m:18 [binder, in Logic]
m:19 [binder, in Induction]
m:2 [binder, in Tactics]
m:2 [binder, in Logic]
m:20 [binder, in Logic]
m:20 [binder, in Maps]
m:203 [binder, in Logic]
m:21 [binder, in Induction]
m:218 [binder, in IndProp]
m:22 [binder, in Logic]
m:221 [binder, in IndProp]
m:231 [binder, in IndProp]
m:24 [binder, in Induction]
m:24 [binder, in Maps]
m:245 [binder, in IndProp]
m:26 [binder, in Tactics]
m:27 [binder, in Induction]
m:29 [binder, in Induction]
m:29 [binder, in Maps]
m:3 [binder, in Maps]
m:30 [binder, in IndPrinciples]
m:31 [binder, in Logic]
m:32 [binder, in Induction]
m:33 [binder, in IndPrinciples]
m:33 [binder, in AltAuto]
m:34 [binder, in Maps]
m:35 [binder, in Induction]
m:35 [binder, in IndPrinciples]
m:36 [binder, in Logic]
m:37 [binder, in Maps]
m:39 [binder, in Imp]
m:4 [binder, in Tactics]
m:41 [binder, in Tactics]
m:41 [binder, in IndProp]
m:42 [binder, in IndPrinciples]
m:45 [binder, in Tactics]
m:45 [binder, in Maps]
m:47 [binder, in Tactics]
m:47 [binder, in Imp]
m:49 [binder, in Tactics]
m:5 [binder, in Maps]
m:50 [binder, in IndPrinciples]
m:51 [binder, in Imp]
m:51 [binder, in Maps]
m:52 [binder, in IndProp]
m:53 [binder, in Imp]
m:53 [binder, in AltAuto]
m:54 [binder, in IndPrinciples]
m:54 [binder, in IndProp]
m:55 [binder, in IndProp]
m:55 [binder, in Maps]
m:57 [binder, in Poly]
m:57 [binder, in AltAuto]
m:58 [binder, in Tactics]
m:59 [binder, in Basics]
m:59 [binder, in IndPrinciples]
m:60 [binder, in IndProp]
m:60 [binder, in Maps]
m:62 [binder, in IndProp]
m:63 [binder, in Basics]
m:64 [binder, in IndPrinciples]
m:64 [binder, in IndProp]
m:64 [binder, in AltAuto]
m:65 [binder, in Maps]
m:67 [binder, in Basics]
m:67 [binder, in AltAuto]
m:69 [binder, in IndProp]
m:69 [binder, in Maps]
m:7 [binder, in Induction]
m:71 [binder, in IndProp]
m:73 [binder, in Tactics]
m:75 [binder, in Tactics]
m:75 [binder, in Logic]
m:75 [binder, in IndProp]
m:75 [binder, in Maps]
m:77 [binder, in Tactics]
m:78 [binder, in Basics]
m:78 [binder, in IndProp]
m:8 [binder, in Tactics]
m:80 [binder, in Tactics]
m:80 [binder, in Logic]
m:80 [binder, in Maps]
m:81 [binder, in IndProp]
m:83 [binder, in AltAuto]
m:84 [binder, in Tactics]
m:84 [binder, in Basics]
m:84 [binder, in IndProp]
m:85 [binder, in Logic]
m:86 [binder, in Tactics]
m:87 [binder, in IndProp]
m:88 [binder, in Tactics]
m:89 [binder, in Basics]
m:89 [binder, in IndProp]
m:9 [binder, in Induction]
m:90 [binder, in Tactics]
m:91 [binder, in IndProp]
m:92 [binder, in Tactics]
m:93 [binder, in IndProp]
m:94 [binder, in Tactics]
m:95 [binder, in IndProp]
m:96 [binder, in Basics]
m:98 [binder, in Basics]


N

nandb [definition, in Basics]
NatList [module, in Lists]
natlist [inductive, in IndPrinciples]
natlist' [inductive, in IndPrinciples]
NatList.add [definition, in Lists]
NatList.alternate [definition, in Lists]
NatList.app [definition, in Lists]
NatList.app_assoc4 [lemma, in Lists]
NatList.app_nil_r [lemma, in Lists]
NatList.app_length [lemma, in Lists]
NatList.app_assoc [lemma, in Lists]
NatList.bag [definition, 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.eqblist [definition, in Lists]
NatList.eqblist_refl [lemma, in Lists]
NatList.fst [definition, in Lists]
NatList.fst' [definition, in Lists]
NatList.hd [definition, in Lists]
NatList.hd_error [definition, in Lists]
NatList.involution_injective [lemma, in Lists]
NatList.length [definition, in Lists]
NatList.member [definition, in Lists]
NatList.mylist [definition, in Lists]
NatList.mylist1 [definition, in Lists]
NatList.mylist2 [definition, in Lists]
NatList.mylist3 [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_app [lemma, in Lists]
NatList.nth_error [definition, in Lists]
NatList.nth_bad [definition, in Lists]
NatList.oddmembers [definition, in Lists]
NatList.option_elim_hd [lemma, in Lists]
NatList.option_elim [definition, in Lists]
NatList.pair [constructor, in Lists]
NatList.repeat [definition, in Lists]
NatList.rev [definition, in Lists]
NatList.rev_injective [lemma, in Lists]
NatList.rev_involutive [lemma, in Lists]
NatList.rev_app_distr [lemma, in Lists]
NatList.rev_length [lemma, in Lists]
NatList.rev_length_firsttry [lemma, in Lists]
NatList.snd [definition, in Lists]
NatList.snd_fst_is_swap [lemma, in Lists]
NatList.snd' [definition, in Lists]
NatList.Some [constructor, in Lists]
NatList.sum [definition, in Lists]
NatList.surjective_pairing [lemma, in Lists]
NatList.surjective_pairing_stuck [lemma, in Lists]
NatList.surjective_pairing' [lemma, in Lists]
NatList.swap_pair [definition, in Lists]
NatList.test_hd_error3 [definition, in Lists]
NatList.test_hd_error2 [definition, in Lists]
NatList.test_hd_error1 [definition, in Lists]
NatList.test_nth_error3 [definition, in Lists]
NatList.test_nth_error2 [definition, in Lists]
NatList.test_nth_error1 [definition, in Lists]
NatList.test_eqblist3 [definition, in Lists]
NatList.test_eqblist2 [definition, in Lists]
NatList.test_eqblist1 [definition, in Lists]
NatList.test_rev2 [definition, in Lists]
NatList.test_rev1 [definition, in Lists]
NatList.test_member2 [definition, in Lists]
NatList.test_member1 [definition, in Lists]
NatList.test_add2 [definition, in Lists]
NatList.test_add1 [definition, in Lists]
NatList.test_sum1 [definition, in Lists]
NatList.test_count2 [definition, in Lists]
NatList.test_count1 [definition, in Lists]
NatList.test_alternate4 [definition, in Lists]
NatList.test_alternate3 [definition, in Lists]
NatList.test_alternate2 [definition, in Lists]
NatList.test_alternate1 [definition, in Lists]
NatList.test_countoddmembers3 [definition, in Lists]
NatList.test_countoddmembers2 [definition, in Lists]
NatList.test_countoddmembers1 [definition, in Lists]
NatList.test_oddmembers [definition, in Lists]
NatList.test_nonzeros [definition, in Lists]
NatList.test_tl [definition, in Lists]
NatList.test_hd2 [definition, in Lists]
NatList.test_hd1 [definition, in Lists]
NatList.test_app3 [definition, in Lists]
NatList.test_app2 [definition, in Lists]
NatList.test_app1 [definition, in Lists]
NatList.tl [definition, in Lists]
NatList.tl_length_pred [lemma, in Lists]
_ ++ _ [notation, in Lists]
_ :: _ [notation, in Lists]
( _ , _ ) [notation, in Lists]
[ _ ; .. ; _ ] [notation, in Lists]
[ ] [notation, in Lists]
NatPlayground [module, in Basics]
NatPlayground.nat [inductive, in Basics]
NatPlayground.nat' [inductive, in Basics]
NatPlayground.O [constructor, in Basics]
NatPlayground.pred [definition, in Basics]
NatPlayground.S [constructor, in Basics]
NatPlayground.stop [constructor, in Basics]
NatPlayground.tick [constructor, in Basics]
NatPlayground2 [module, in Basics]
NatPlayground2.minus [definition, in Basics]
NatPlayground2.mult [definition, in Basics]
NatPlayground2.plus [definition, in Basics]
NatPlayground2.test_mult1 [definition, in Basics]
nat_ind2 [definition, in IndPrinciples]
nat_ind_tidy [definition, in IndPrinciples]
nb:42 [binder, in Basics]
ncons [constructor, in IndPrinciples]
negb [definition, in Basics]
negb_involutive [lemma, in Basics]
negb' [definition, in Basics]
next_weekday [definition, in Basics]
night [constructor, in IndPrinciples]
nil [constructor, in Poly]
nil' [constructor, in Poly]
nnil [constructor, in IndPrinciples]
nnil' [constructor, in IndPrinciples]
nonzeros [definition, in AltAuto]
nonzeros_app [lemma, in AltAuto]
NotPlayground [module, in Logic]
NotPlayground.not [definition, in Logic]
~ _ (type_scope) [notation, in Logic]
not_exists_dist [lemma, in Logic]
not_even_1001' [definition, in Logic]
not_even_1001 [definition, in Logic]
not_true_iff_false [lemma, in Logic]
not_true_is_false' [lemma, in Logic]
not_true_is_false [lemma, in Logic]
not_both_true_and_false [lemma, in Logic]
not_False [lemma, in Logic]
not_implies_our_not [lemma, in Logic]
no_hyp_name [lemma, in AltAuto]
nsnoc [constructor, in IndPrinciples]
ns:148 [binder, in Logic]
nth_error_after_last [lemma, in Tactics]
nth_error [definition, in Poly]
n_lt_m__n_le_m [lemma, in IndProp]
n_le_m__Sn_le_Sm [lemma, in IndProp]
n':103 [binder, in Logic]
n':36 [binder, in IndProp]
n0:46 [binder, in IndProp]
n0:48 [binder, in IndProp]
n0:61 [binder, in IndPrinciples]
n0:65 [binder, in IndPrinciples]
n1:101 [binder, in Imp]
n1:105 [binder, in Imp]
n1:115 [binder, in Imp]
n1:119 [binder, in Imp]
n1:123 [binder, in Imp]
n1:127 [binder, in Imp]
n1:153 [binder, in Imp]
n1:157 [binder, in Imp]
n1:161 [binder, in Imp]
n1:165 [binder, in Imp]
n1:166 [binder, in Logic]
n1:183 [binder, in Imp]
n1:187 [binder, in Imp]
n1:191 [binder, in Imp]
n1:3 [binder, in Lists]
n1:61 [binder, in Imp]
n1:65 [binder, in Imp]
n1:67 [binder, in IndProp]
n1:69 [binder, in Imp]
n1:76 [binder, in Imp]
n1:82 [binder, in Imp]
n1:85 [binder, in Lists]
n1:85 [binder, in IndProp]
n1:86 [binder, in ProofObjects]
n1:88 [binder, in ProofObjects]
n1:88 [binder, in Imp]
n1:92 [binder, in ProofObjects]
n1:97 [binder, in Imp]
n2:102 [binder, in Imp]
n2:106 [binder, in Imp]
n2:116 [binder, in Imp]
n2:120 [binder, in Imp]
n2:124 [binder, in Imp]
n2:128 [binder, in Imp]
n2:154 [binder, in Imp]
n2:158 [binder, in Imp]
n2:162 [binder, in Imp]
n2:166 [binder, in Imp]
n2:167 [binder, in Logic]
n2:184 [binder, in Imp]
n2:188 [binder, in Imp]
n2:192 [binder, in Imp]
n2:4 [binder, in Lists]
n2:62 [binder, in Imp]
n2:66 [binder, in Imp]
n2:68 [binder, in IndProp]
n2:70 [binder, in Imp]
n2:77 [binder, in Imp]
n2:83 [binder, in Imp]
n2:86 [binder, in Lists]
n2:86 [binder, in IndProp]
n2:87 [binder, in ProofObjects]
n2:89 [binder, in ProofObjects]
n2:89 [binder, in Imp]
n2:93 [binder, in ProofObjects]
n2:98 [binder, in Imp]
n3:167 [binder, in Imp]
n:1 [binder, in Tactics]
n:1 [binder, in Logic]
n:1 [binder, in Induction]
n:1 [binder, in IndProp]
n:10 [binder, in ProofObjects]
n:10 [binder, in Induction]
n:10 [binder, in IndProp]
n:10 [binder, in AltAuto]
n:101 [binder, in AltAuto]
n:102 [binder, in Logic]
n:103 [binder, in Basics]
n:104 [binder, in Basics]
n:104 [binder, in Poly]
n:104 [binder, in AltAuto]
n:107 [binder, in AltAuto]
n:108 [binder, in Tactics]
n:108 [binder, in Imp]
n:109 [binder, in Tactics]
n:11 [binder, in AltAuto]
n:110 [binder, in Lists]
n:110 [binder, in Imp]
n:114 [binder, in Poly]
n:115 [binder, in Basics]
n:117 [binder, in IndProp]
n:118 [binder, in Basics]
n:118 [binder, in IndProp]
n:12 [binder, in ProofObjects]
n:12 [binder, in Tactics]
n:12 [binder, in IndPrinciples]
n:12 [binder, in AltAuto]
n:120 [binder, in Tactics]
n:121 [binder, in Tactics]
n:121 [binder, in IndProp]
n:122 [binder, in Tactics]
n:122 [binder, in IndProp]
n:125 [binder, in Tactics]
n:127 [binder, in Tactics]
n:128 [binder, in Logic]
n:128 [binder, in Poly]
n:13 [binder, in ProofObjects]
n:13 [binder, in Tactics]
n:13 [binder, in Logic]
n:13 [binder, in Induction]
n:133 [binder, in AltAuto]
n:135 [binder, in AltAuto]
n:138 [binder, in Poly]
n:138 [binder, in AltAuto]
n:139 [binder, in Imp]
n:14 [binder, in Tactics]
n:14 [binder, in IndProp]
n:144 [binder, in AltAuto]
n:147 [binder, in Logic]
n:15 [binder, in ProofObjects]
n:15 [binder, in Lists]
n:15 [binder, in Logic]
n:15 [binder, in IndPrinciples]
n:15 [binder, in IndProp]
n:15 [binder, in AltAuto]
n:150 [binder, in Imp]
n:156 [binder, in Poly]
n:16 [binder, in ProofObjects]
n:16 [binder, in Induction]
n:163 [binder, in Logic]
n:165 [binder, in Logic]
n:168 [binder, in Logic]
n:169 [binder, in Logic]
n:17 [binder, in Logic]
n:17 [binder, in Induction]
n:170 [binder, in Imp]
n:179 [binder, in Imp]
n:18 [binder, in Induction]
n:180 [binder, in Imp]
n:19 [binder, in Logic]
n:195 [binder, in Imp]
n:2 [binder, in Induction]
n:2 [binder, in IndPrinciples]
n:2 [binder, in Maps]
n:20 [binder, in Induction]
n:202 [binder, in Logic]
n:21 [binder, in Logic]
n:21 [binder, in IndPrinciples]
n:212 [binder, in IndProp]
n:217 [binder, in IndProp]
n:22 [binder, in Lists]
n:23 [binder, in Induction]
n:232 [binder, in IndProp]
n:24 [binder, in Lists]
n:24 [binder, in IndPrinciples]
n:244 [binder, in IndProp]
n:245 [binder, in Imp]
n:246 [binder, in IndProp]
n:249 [binder, in IndProp]
n:25 [binder, in Tactics]
n:25 [binder, in IndPrinciples]
n:253 [binder, in IndProp]
n:26 [binder, in Induction]
n:26 [binder, in IndPrinciples]
n:27 [binder, in IndPrinciples]
n:276 [binder, in Imp]
n:28 [binder, in IndPrinciples]
n:28 [binder, in IndProp]
n:29 [binder, in IndPrinciples]
n:3 [binder, in ProofObjects]
n:3 [binder, in Tactics]
n:3 [binder, in Imp]
n:3 [binder, in Logic]
n:3 [binder, in Induction]
n:3 [binder, in IndPrinciples]
n:30 [binder, in Logic]
n:30 [binder, in Induction]
n:30 [binder, in IndProp]
n:31 [binder, in Induction]
n:32 [binder, in IndPrinciples]
n:32 [binder, in AltAuto]
n:33 [binder, in IndProp]
n:34 [binder, in Logic]
n:34 [binder, in Induction]
n:34 [binder, in IndPrinciples]
n:34 [binder, in IndProp]
n:35 [binder, in Imp]
n:35 [binder, in Logic]
n:35 [binder, in IndProp]
n:36 [binder, in Imp]
n:37 [binder, in Induction]
n:37 [binder, in IndPrinciples]
n:37 [binder, in IndProp]
n:38 [binder, in Induction]
n:38 [binder, in IndPrinciples]
n:38 [binder, in IndProp]
n:39 [binder, in IndProp]
n:4 [binder, in Logic]
n:4 [binder, in Induction]
n:4 [binder, in IndPrinciples]
n:4 [binder, in IndProp]
n:4 [binder, in Maps]
n:40 [binder, in Tactics]
n:40 [binder, in Imp]
n:40 [binder, in IndProp]
n:41 [binder, in IndPrinciples]
n:43 [binder, in IndProp]
n:44 [binder, in Tactics]
n:44 [binder, in IndProp]
n:45 [binder, in IndPrinciples]
n:46 [binder, in Tactics]
n:46 [binder, in Basics]
n:48 [binder, in Tactics]
n:48 [binder, in Imp]
n:48 [binder, in IndPrinciples]
n:49 [binder, in IndPrinciples]
n:49 [binder, in IndProp]
n:5 [binder, in ProofObjects]
n:5 [binder, in Induction]
n:5 [binder, in IndPrinciples]
n:5 [binder, in IndProp]
n:50 [binder, in Basics]
n:50 [binder, in IndProp]
n:51 [binder, in IndPrinciples]
n:51 [binder, in IndProp]
n:52 [binder, in Imp]
n:52 [binder, in Basics]
n:52 [binder, in AltAuto]
n:53 [binder, in Logic]
n:53 [binder, in IndProp]
n:54 [binder, in Imp]
n:54 [binder, in Basics]
n:55 [binder, in Logic]
n:56 [binder, in IndProp]
n:56 [binder, in AltAuto]
n:57 [binder, in Tactics]
n:57 [binder, in Basics]
n:57 [binder, in IndPrinciples]
n:58 [binder, in Imp]
n:58 [binder, in Basics]
n:58 [binder, in Poly]
n:58 [binder, in IndPrinciples]
n:58 [binder, in IndProp]
n:59 [binder, in Tactics]
n:59 [binder, in IndProp]
n:6 [binder, in ProofObjects]
n:6 [binder, in Induction]
n:60 [binder, in IndPrinciples]
n:60 [binder, in AltAuto]
n:61 [binder, in IndProp]
n:61 [binder, in AltAuto]
n:62 [binder, in Basics]
n:62 [binder, in IndPrinciples]
n:62 [binder, in AltAuto]
n:63 [binder, in IndProp]
n:63 [binder, in AltAuto]
n:65 [binder, in AltAuto]
n:66 [binder, in Tactics]
n:66 [binder, in Basics]
n:66 [binder, in AltAuto]
n:67 [binder, in ProofObjects]
n:67 [binder, in IndPrinciples]
n:68 [binder, in ProofObjects]
n:68 [binder, in IndPrinciples]
n:69 [binder, in ProofObjects]
n:7 [binder, in ProofObjects]
n:7 [binder, in Tactics]
n:70 [binder, in IndProp]
n:71 [binder, in IndPrinciples]
n:72 [binder, in Tactics]
n:73 [binder, in Imp]
n:73 [binder, in IndPrinciples]
n:74 [binder, in Tactics]
n:74 [binder, in Logic]
n:74 [binder, in IndProp]
n:75 [binder, in Basics]
n:76 [binder, in Tactics]
n:76 [binder, in IndPrinciples]
n:77 [binder, in Basics]
n:77 [binder, in IndProp]
n:78 [binder, in IndPrinciples]
n:79 [binder, in Tactics]
n:79 [binder, in Logic]
n:79 [binder, in IndPrinciples]
n:8 [binder, in ProofObjects]
n:8 [binder, in Induction]
n:8 [binder, in AltAuto]
n:80 [binder, in IndProp]
n:82 [binder, in AltAuto]
n:83 [binder, in Tactics]
n:83 [binder, in Basics]
n:83 [binder, in Logic]
n:83 [binder, in IndProp]
n:84 [binder, in Lists]
n:84 [binder, in Logic]
n:84 [binder, in IndPrinciples]
n:85 [binder, in Tactics]
n:87 [binder, in Tactics]
n:87 [binder, in IndPrinciples]
n:88 [binder, in Basics]
n:88 [binder, in IndProp]
n:89 [binder, in Tactics]
n:9 [binder, in IndProp]
n:90 [binder, in Lists]
n:90 [binder, in Basics]
n:90 [binder, in IndProp]
n:91 [binder, in Tactics]
n:91 [binder, in Basics]
n:92 [binder, in Basics]
n:92 [binder, in IndProp]
n:93 [binder, in Tactics]
n:93 [binder, in Basics]
n:94 [binder, in Imp]
n:94 [binder, in Basics]
n:94 [binder, in IndProp]
n:95 [binder, in Tactics]
n:95 [binder, in Basics]
n:96 [binder, in Lists]
n:97 [binder, in Basics]
n:98 [binder, in Lists]
n:98 [binder, in Tactics]
n:98 [binder, in Poly]
n:99 [binder, in Tactics]


O

odd [definition, in Basics]
one_not_even' [lemma, in IndProp]
one_not_even [lemma, in IndProp]
OptionPlayground [module, in Poly]
OptionPlayground.None [constructor, in Poly]
OptionPlayground.option [inductive, 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]
or_distributes_over_and [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]
O_le_n [lemma, in IndProp]
o:103 [binder, in Lists]
o:103 [binder, in AltAuto]
o:134 [binder, in Lists]
o:27 [binder, in Tactics]
o:42 [binder, in Tactics]
o:42 [binder, in IndProp]
o:49 [binder, in Imp]
o:5 [binder, in Tactics]
o:50 [binder, in Tactics]
o:54 [binder, in AltAuto]
o:57 [binder, in IndProp]
o:58 [binder, in AltAuto]
o:84 [binder, in AltAuto]
o:86 [binder, in Logic]
o:96 [binder, in IndProp]
o:99 [binder, in Basics]


P

pair [constructor, in Poly]
PartialMap [module, in Lists]
PartialMap.empty [constructor, in Lists]
PartialMap.find [definition, in Lists]
PartialMap.partial_map [inductive, in Lists]
PartialMap.record [constructor, in Lists]
PartialMap.update [definition, in Lists]
PartialMap.update_neq [lemma, in Lists]
PartialMap.update_eq [lemma, in Lists]
partial_map [definition, in Maps]
partition [definition, in Poly]
pe_implies_pi [lemma, in ProofObjects]
pe_implies_true_eq [lemma, in ProofObjects]
pe_implies_or_eq [lemma, in ProofObjects]
pf1:134 [binder, in ProofObjects]
pf2:135 [binder, in ProofObjects]
Playground [module, in Basics]
Playground.b [definition, in Basics]
plus_n_n_injective [lemma, in Tactics]
plus_1_neq_0' [lemma, in Basics]
plus_1_neq_0 [lemma, in Basics]
plus_1_neq_0_firsttry [lemma, in Basics]
plus_id_exercise [lemma, in Basics]
plus_id_example [lemma, in Basics]
plus_1_l [lemma, in Basics]
plus_O_n'' [lemma, in Basics]
plus_O_n' [lemma, in Basics]
plus_O_n [lemma, in Basics]
plus_eqb_example [lemma, in Logic]
plus_claim_is_true [lemma, in Logic]
plus_claim [definition, in Logic]
plus_2_2_is_4 [lemma, in Logic]
plus_n_Sm [lemma, in Induction]
plus_one_r' [lemma, in IndPrinciples]
plus_lt [lemma, in IndProp]
plus_le_compat_r [lemma, in IndProp]
plus_le_compat_l [lemma, in IndProp]
plus_le [lemma, in IndProp]
plus_id_exercise_from_basics [lemma, in AltAuto]
plus2 [definition, in Imp]
plus3 [definition, in Poly]
Poly [library]
Postscript [library]
power:72 [binder, in Basics]
Preface [library]
primary [constructor, in Basics]
prod [inductive, in Poly]
prog:280 [binder, in Imp]
proj1 [lemma, in Logic]
ProofObjects [library]
proof_irrelevance [definition, in ProofObjects]
propositional_extensionality [definition, in ProofObjects]
Props [module, in ProofObjects]
Props.And [module, in ProofObjects]
Props.and_comm' [definition, in ProofObjects]
Props.and_comm'_aux [definition, in ProofObjects]
Props.And.and [inductive, in ProofObjects]
Props.And.and_comm [lemma, in ProofObjects]
Props.And.conj [constructor, in ProofObjects]
Props.And.proj1' [lemma, in ProofObjects]
_ /\ _ (type_scope) [notation, in ProofObjects]
Props.conj_fact [definition, in ProofObjects]
Props.contra [definition, in ProofObjects]
Props.Ex [module, in ProofObjects]
Props.ex_falso_quodlibet' [definition, in ProofObjects]
Props.ex_ev_Sn [definition, in ProofObjects]
Props.Ex.ex [inductive, in ProofObjects]
Props.Ex.ex_intro [constructor, in ProofObjects]
exists _ , _ (type_scope) [notation, in ProofObjects]
Props.False [inductive, in ProofObjects]
Props.false_implies_zero_eq_one [definition, in ProofObjects]
Props.I [constructor, in ProofObjects]
Props.Or [module, in ProofObjects]
Props.or_commut' [definition, in ProofObjects]
Props.Or.inj_l' [lemma, in ProofObjects]
Props.Or.inj_l [definition, in ProofObjects]
Props.Or.or [inductive, in ProofObjects]
Props.Or.or_elim' [lemma, in ProofObjects]
Props.Or.or_elim [definition, in ProofObjects]
Props.Or.or_intror [constructor, in ProofObjects]
Props.Or.or_introl [constructor, in ProofObjects]
_ \/ _ (type_scope) [notation, in ProofObjects]
Props.p_implies_true [definition, in ProofObjects]
Props.some_nat_is_even [definition, in ProofObjects]
Props.True [inductive, in ProofObjects]
PSS:83 [binder, in IndPrinciples]
Pumping [module, in IndProp]
Pumping.napp [definition, in IndProp]
Pumping.napp_star [lemma, in IndProp]
Pumping.napp_plus [lemma, in IndProp]
Pumping.pumping_constant_0_false [lemma, in IndProp]
Pumping.pumping_constant_ge_1 [lemma, in IndProp]
Pumping.pumping_constant [definition, in IndProp]
Pumping.weak_pumping [lemma, in IndProp]
P_m0r' [definition, in IndPrinciples]
P_m0r [definition, in IndPrinciples]
P0:81 [binder, in IndPrinciples]
p1:286 [binder, in Imp]
P1:82 [binder, in IndPrinciples]
p2:287 [binder, in Imp]
P:1 [binder, in IndPrinciples]
p:100 [binder, in Basics]
P:102 [binder, in ProofObjects]
p:102 [binder, in Basics]
P:106 [binder, in ProofObjects]
p:106 [binder, in AltAuto]
P:109 [binder, in AltAuto]
p:11 [binder, in Lists]
p:11 [binder, in Tactics]
P:110 [binder, in ProofObjects]
P:111 [binder, in ProofObjects]
P:112 [binder, in AltAuto]
P:114 [binder, in ProofObjects]
P:115 [binder, in AltAuto]
P:117 [binder, in ProofObjects]
P:118 [binder, in ProofObjects]
P:118 [binder, in AltAuto]
p:12 [binder, in Induction]
P:120 [binder, in ProofObjects]
P:120 [binder, in Logic]
P:122 [binder, in ProofObjects]
P:124 [binder, in AltAuto]
P:125 [binder, in ProofObjects]
P:125 [binder, in Logic]
P:128 [binder, in ProofObjects]
p:129 [binder, in Tactics]
p:13 [binder, in Lists]
P:130 [binder, in ProofObjects]
P:130 [binder, in AltAuto]
P:132 [binder, in ProofObjects]
P:133 [binder, in ProofObjects]
p:137 [binder, in AltAuto]
P:14 [binder, in IndPrinciples]
p:140 [binder, in AltAuto]
p:17 [binder, in Lists]
p:17 [binder, in AltAuto]
p:171 [binder, in Logic]
P:18 [binder, in ProofObjects]
p:18 [binder, in Lists]
p:19 [binder, in Lists]
P:199 [binder, in Logic]
P:200 [binder, in Logic]
P:204 [binder, in Logic]
P:206 [binder, in Logic]
P:22 [binder, in ProofObjects]
p:22 [binder, in Induction]
P:22 [binder, in IndPrinciples]
P:23 [binder, in Logic]
P:235 [binder, in IndProp]
P:24 [binder, in ProofObjects]
P:240 [binder, in IndProp]
P:242 [binder, in IndProp]
P:25 [binder, in Logic]
p:25 [binder, in Induction]
P:26 [binder, in ProofObjects]
P:27 [binder, in Logic]
p:28 [binder, in Induction]
p:29 [binder, in Basics]
P:30 [binder, in ProofObjects]
p:31 [binder, in IndPrinciples]
P:32 [binder, in ProofObjects]
p:33 [binder, in Induction]
P:34 [binder, in Imp]
p:34 [binder, in AltAuto]
P:35 [binder, in ProofObjects]
p:36 [binder, in Induction]
P:36 [binder, in IndPrinciples]
P:37 [binder, in Logic]
P:39 [binder, in ProofObjects]
P:39 [binder, in Logic]
P:40 [binder, in Logic]
P:41 [binder, in ProofObjects]
P:41 [binder, in Logic]
p:43 [binder, in Tactics]
P:43 [binder, in Logic]
P:44 [binder, in ProofObjects]
P:45 [binder, in Logic]
P:46 [binder, in ProofObjects]
P:46 [binder, in Logic]
P:48 [binder, in Logic]
P:48 [binder, in AltAuto]
P:49 [binder, in ProofObjects]
P:49 [binder, in Logic]
P:49 [binder, in AltAuto]
p:5 [binder, in Lists]
p:50 [binder, in Imp]
P:50 [binder, in AltAuto]
P:51 [binder, in AltAuto]
p:55 [binder, in Imp]
p:55 [binder, in AltAuto]
P:56 [binder, in ProofObjects]
P:56 [binder, in Logic]
P:56 [binder, in IndPrinciples]
P:58 [binder, in Logic]
P:59 [binder, in ProofObjects]
p:59 [binder, in AltAuto]
p:6 [binder, in Tactics]
P:61 [binder, in Logic]
P:62 [binder, in ProofObjects]
P:63 [binder, in IndPrinciples]
P:64 [binder, in Logic]
P:66 [binder, in IndPrinciples]
P:67 [binder, in Logic]
P:68 [binder, in Logic]
P:69 [binder, in IndPrinciples]
p:7 [binder, in Lists]
P:71 [binder, in Logic]
P:72 [binder, in ProofObjects]
p:72 [binder, in IndProp]
p:75 [binder, in Poly]
P:76 [binder, in Logic]
p:76 [binder, in IndProp]
P:77 [binder, in ProofObjects]
P:77 [binder, in IndPrinciples]
p:79 [binder, in Poly]
p:79 [binder, in IndProp]
P:8 [binder, in IndPrinciples]
P:80 [binder, in IndPrinciples]
p:81 [binder, in Tactics]
p:81 [binder, in Logic]
p:82 [binder, in IndProp]
p:85 [binder, in AltAuto]
P:88 [binder, in Logic]
P:89 [binder, in AltAuto]
p:9 [binder, in Lists]
P:9 [binder, in AltAuto]
P:90 [binder, in AltAuto]
P:92 [binder, in Logic]
P:92 [binder, in AltAuto]
P:95 [binder, in AltAuto]
P:99 [binder, in AltAuto]


Q

Q:100 [binder, in AltAuto]
q:101 [binder, in Basics]
Q:110 [binder, in AltAuto]
Q:112 [binder, in ProofObjects]
Q:113 [binder, in AltAuto]
Q:115 [binder, in ProofObjects]
Q:116 [binder, in AltAuto]
Q:119 [binder, in ProofObjects]
Q:119 [binder, in AltAuto]
Q:121 [binder, in ProofObjects]
Q:123 [binder, in ProofObjects]
Q:125 [binder, in AltAuto]
Q:126 [binder, in ProofObjects]
Q:129 [binder, in ProofObjects]
Q:131 [binder, in ProofObjects]
Q:131 [binder, in AltAuto]
Q:19 [binder, in ProofObjects]
Q:23 [binder, in ProofObjects]
Q:24 [binder, in Logic]
Q:25 [binder, in ProofObjects]
Q:26 [binder, in Logic]
Q:27 [binder, in ProofObjects]
Q:28 [binder, in Logic]
Q:31 [binder, in ProofObjects]
Q:33 [binder, in ProofObjects]
Q:36 [binder, in ProofObjects]
Q:38 [binder, in Logic]
Q:40 [binder, in ProofObjects]
Q:42 [binder, in ProofObjects]
Q:42 [binder, in Logic]
Q:44 [binder, in Logic]
Q:45 [binder, in ProofObjects]
Q:47 [binder, in ProofObjects]
Q:47 [binder, in Logic]
Q:50 [binder, in ProofObjects]
Q:50 [binder, in Logic]
Q:57 [binder, in ProofObjects]
Q:57 [binder, in Logic]
Q:59 [binder, in Logic]
Q:60 [binder, in ProofObjects]
Q:62 [binder, in Logic]
Q:65 [binder, in Logic]
Q:69 [binder, in Logic]
Q:72 [binder, in Logic]
q:73 [binder, in IndProp]
Q:77 [binder, in Logic]
q:82 [binder, in Tactics]
q:9 [binder, in Tactics]
Q:91 [binder, in AltAuto]
Q:93 [binder, in Logic]
Q:96 [binder, in AltAuto]


R

reaches_1 [inductive, in IndProp]
reaches_1_in [definition, in IndProp]
red [constructor, in Basics]
reflect [inductive, in IndProp]
ReflectF [constructor, in IndProp]
ReflectT [constructor, in IndProp]
reflect_iff [lemma, 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 [inductive, in IndProp]
repeat [definition, in Poly]
repeat' [definition, in Poly]
repeat'' [definition, in Poly]
repeat''' [definition, in Poly]
restricted_excluded_middle_eq [lemma, in Logic]
restricted_excluded_middle [lemma, in Logic]
rev [definition, in Poly]
rev_exercise1 [lemma, in Tactics]
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 [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]
re':198 [binder, in IndProp]
re1:139 [binder, in IndProp]
re1:145 [binder, in IndProp]
re1:148 [binder, in IndProp]
re1:169 [binder, in IndProp]
re2:141 [binder, in IndProp]
re2:146 [binder, in IndProp]
re2:150 [binder, in IndProp]
re2:170 [binder, in IndProp]
re:147 [binder, in AltAuto]
re:152 [binder, in IndProp]
re:155 [binder, in IndProp]
re:164 [binder, in IndProp]
re:173 [binder, in IndProp]
re:176 [binder, in IndProp]
re:181 [binder, in IndProp]
re:184 [binder, in IndProp]
re:188 [binder, in IndProp]
re:193 [binder, in IndProp]
re:197 [binder, in IndProp]
re:2 [binder, in AltAuto]
re:202 [binder, in IndProp]
re:204 [binder, in IndProp]
re:208 [binder, in IndProp]
re:210 [binder, in IndProp]
re:224 [binder, in IndProp]
re:226 [binder, in IndProp]
re:24 [binder, in AltAuto]
re:36 [binder, in AltAuto]
re:39 [binder, in AltAuto]
re:43 [binder, in AltAuto]
re:46 [binder, in AltAuto]
re:6 [binder, in AltAuto]
rgb [inductive, in Basics]
r1:129 [binder, in IndProp]
r1:131 [binder, in IndProp]
r2:130 [binder, in IndProp]
r2:132 [binder, in IndProp]
r:10 [binder, in Tactics]
R:111 [binder, in AltAuto]
R:113 [binder, in ProofObjects]
R:114 [binder, in AltAuto]
R:116 [binder, in ProofObjects]
R:117 [binder, in AltAuto]
R:120 [binder, in AltAuto]
R:124 [binder, in ProofObjects]
R:126 [binder, in AltAuto]
R:127 [binder, in ProofObjects]
R:132 [binder, in AltAuto]
r:133 [binder, in IndProp]
R:18 [binder, in IndProp]
R:29 [binder, in Logic]
R:34 [binder, in ProofObjects]
R:48 [binder, in ProofObjects]
R:51 [binder, in ProofObjects]
R:58 [binder, in ProofObjects]
R:63 [binder, in Logic]
R:66 [binder, in Logic]
R:70 [binder, in Logic]
R:73 [binder, in Logic]
R:78 [binder, in Logic]


S

saturday [constructor, in Basics]
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 AltAuto]
silly2 [lemma, in Tactics]
silly2 [lemma, in AltAuto]
silly2a [lemma, in Tactics]
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]
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]
split [definition, in Tactics]
split [definition, in Poly]
SPlus [constructor, in Imp]
SPush [constructor, in Imp]
square [definition, in Tactics]
square_mult [lemma, in Tactics]
SSSSev__even [lemma, in IndProp]
ss:172 [binder, in IndProp]
stack:279 [binder, in Imp]
stack:288 [binder, in Imp]
stack:291 [binder, in Imp]
Star [constructor, in IndProp]
star_app [lemma, in IndProp]
star_app [lemma, in IndProp]
star_app [lemma, in IndProp]
state [definition, in Imp]
st'':251 [binder, in Imp]
st'':267 [binder, in Imp]
st':239 [binder, in Imp]
st':250 [binder, in Imp]
st':253 [binder, in Imp]
st':258 [binder, in Imp]
st':266 [binder, in Imp]
st1:272 [binder, in Imp]
st2:273 [binder, in Imp]
st:216 [binder, in Imp]
st:220 [binder, in Imp]
st:235 [binder, in Imp]
st:242 [binder, in Imp]
st:243 [binder, in Imp]
st:249 [binder, in Imp]
st:252 [binder, in Imp]
st:257 [binder, in Imp]
st:263 [binder, in Imp]
st:265 [binder, in Imp]
st:271 [binder, in Imp]
st:278 [binder, in Imp]
st:285 [binder, in Imp]
st:289 [binder, in Imp]
st:292 [binder, in Imp]
subseq [inductive, in IndProp]
subseq_trans [lemma, in IndProp]
subseq_app [lemma, in IndProp]
subseq_refl [lemma, in IndProp]
subtract_3_from_5_slowly [definition, in Imp]
subtract_slowly [definition, in Imp]
subtract_slowly_body [definition, in Imp]
sub_skip [constructor, in IndProp]
sub_take [constructor, in IndProp]
sub_nil [constructor, in IndProp]
succ_inj [lemma, in Logic]
sunday [constructor, in Basics]
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_injective_from_tactics [lemma, in AltAuto]
s1:138 [binder, in IndProp]
s1:144 [binder, in IndProp]
s1:149 [binder, in AltAuto]
s1:153 [binder, in IndProp]
s1:191 [binder, in IndProp]
s1:195 [binder, in IndProp]
s1:200 [binder, in IndProp]
s1:222 [binder, in IndProp]
s1:228 [binder, in IndProp]
s2:140 [binder, in IndProp]
s2:149 [binder, in IndProp]
s2:150 [binder, in AltAuto]
s2:154 [binder, in IndProp]
s2:192 [binder, in IndProp]
s2:196 [binder, in IndProp]
s2:201 [binder, in IndProp]
s2:223 [binder, in IndProp]
s2:229 [binder, in IndProp]
s3:151 [binder, in AltAuto]
s3:230 [binder, in IndProp]
S:121 [binder, in AltAuto]
S:127 [binder, in AltAuto]
s:148 [binder, in AltAuto]
s:163 [binder, in IndProp]
s:166 [binder, in IndProp]
s:168 [binder, in IndProp]
s:174 [binder, in IndProp]
s:180 [binder, in IndProp]
s:189 [binder, in IndProp]
s:227 [binder, in IndProp]
s:25 [binder, in AltAuto]
s:37 [binder, in AltAuto]
s:44 [binder, in AltAuto]
s:47 [binder, in AltAuto]
s:49 [binder, in Lists]
s:52 [binder, in Lists]
s:54 [binder, in Lists]
s:7 [binder, in AltAuto]
s:82 [binder, in Lists]


T

Tactics [library]
term_more [constructor, in IndProp]
term_done [constructor, in IndProp]
test_ltb3 [definition, in Basics]
test_ltb2 [definition, in Basics]
test_ltb1 [definition, in Basics]
test_leb3' [definition, in Basics]
test_leb3 [definition, in Basics]
test_leb2 [definition, in Basics]
test_leb1 [definition, in Basics]
test_factorial2 [definition, in Basics]
test_factorial1 [definition, in Basics]
test_odd2 [definition, in Basics]
test_odd1 [definition, in Basics]
test_andb34 [definition, in Basics]
test_andb33 [definition, in Basics]
test_andb32 [definition, in Basics]
test_andb31 [definition, in Basics]
test_nandb4 [definition, in Basics]
test_nandb3 [definition, in Basics]
test_nandb2 [definition, in Basics]
test_nandb1 [definition, in Basics]
test_orb5 [definition, in Basics]
test_orb4 [definition, in Basics]
test_orb3 [definition, in Basics]
test_orb2 [definition, in Basics]
test_orb1 [definition, in Basics]
test_next_weekday [definition, in Basics]
test_plus3'' [definition, in Poly]
test_plus3' [definition, in Poly]
test_plus3 [definition, in Poly]
test_flat_map1 [definition, in Poly]
test_map3 [definition, in Poly]
test_map2 [definition, in Poly]
test_map1 [definition, in Poly]
test_partition2 [definition, in Poly]
test_partition1 [definition, in Poly]
test_filter_even_gt7_2 [definition, in Poly]
test_filter_even_gt7_1 [definition, in Poly]
test_filter2' [definition, in Poly]
test_anon_fun' [definition, in Poly]
test_countoddmembers'3 [definition, in Poly]
test_countoddmembers'2 [definition, in Poly]
test_countoddmembers'1 [definition, in Poly]
test_filter2 [definition, in Poly]
test_filter1 [definition, in Poly]
test_doit3times' [definition, in Poly]
test_doit3times [definition, in Poly]
test_nth_error3 [definition, in Poly]
test_nth_error2 [definition, in Poly]
test_nth_error1 [definition, in Poly]
test_split [definition, in Poly]
test_length1 [definition, in Poly]
test_rev2 [definition, in Poly]
test_rev1 [definition, in Poly]
test_repeat2 [definition, in Poly]
test_repeat1 [definition, in Poly]
test:107 [binder, in Poly]
test:118 [binder, in Poly]
test:131 [binder, in Tactics]
test:192 [binder, in Logic]
test:196 [binder, in Logic]
thursday [constructor, in Basics]
time [inductive, in IndPrinciples]
total_map [definition, in Maps]
trans_eq_exercise [definition, in Tactics]
trans_eq_example'' [definition, in Tactics]
trans_eq_example' [definition, in Tactics]
trans_eq [lemma, in Tactics]
trans_eq_example [definition, in Tactics]
trans_example2 [definition, in AltAuto]
trans_example1' [definition, in AltAuto]
trans_example1 [definition, in AltAuto]
true [constructor, in Basics]
True_is_true [lemma, in Logic]
tuesday [constructor, in Basics]
TuplePlayground [module, in Basics]
TuplePlayground.all_zero [definition, in Basics]
TuplePlayground.bit [inductive, in Basics]
TuplePlayground.bits [constructor, in Basics]
TuplePlayground.B0 [constructor, in Basics]
TuplePlayground.B1 [constructor, in Basics]
TuplePlayground.nybble [inductive, in Basics]
tv1:133 [binder, in Imp]
tv2:134 [binder, in Imp]
tv:130 [binder, in Imp]
t_trans [constructor, in IndProp]
t_step [constructor, in IndProp]
t_update_permute [lemma, in Maps]
t_update_same [lemma, in Maps]
t_update_shadow [lemma, in Maps]
t_update_neq [lemma, in Maps]
t_update_eq [lemma, in Maps]
t_apply_empty [lemma, in Maps]
t_update [definition, in Maps]
t_empty [definition, in Maps]
t1:97 [binder, in ProofObjects]
t2:98 [binder, in ProofObjects]
T:1 [binder, in AltAuto]
T:119 [binder, in Logic]
T:122 [binder, in AltAuto]
T:124 [binder, in Logic]
T:125 [binder, in IndProp]
t:128 [binder, in IndProp]
T:128 [binder, in AltAuto]
T:134 [binder, in IndProp]
T:146 [binder, in AltAuto]
T:158 [binder, in IndProp]
T:162 [binder, in IndProp]
T:165 [binder, in IndProp]
T:167 [binder, in IndProp]
T:17 [binder, in ProofObjects]
T:171 [binder, in IndProp]
T:175 [binder, in IndProp]
T:179 [binder, in IndProp]
T:183 [binder, in IndProp]
T:187 [binder, in IndProp]
T:190 [binder, in IndProp]
T:194 [binder, in IndProp]
T:199 [binder, in IndProp]
T:203 [binder, in IndProp]
T:207 [binder, in IndProp]
T:209 [binder, in IndProp]
T:211 [binder, in IndProp]
T:216 [binder, in IndProp]
T:220 [binder, in IndProp]
T:225 [binder, in IndProp]
T:23 [binder, in AltAuto]
T:35 [binder, in AltAuto]
T:38 [binder, in AltAuto]
T:42 [binder, in AltAuto]
T:45 [binder, in AltAuto]
T:5 [binder, in AltAuto]
t:88 [binder, in AltAuto]
t:9 [binder, in IndPrinciples]


U

uncurry [definition, in ProofObjects]
Union [constructor, 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]
U:123 [binder, in AltAuto]
U:129 [binder, in AltAuto]


V

value:123 [binder, in Lists]
vx:83 [binder, in Maps]
v1:31 [binder, in Maps]
v1:38 [binder, in Maps]
v1:62 [binder, in Maps]
v1:72 [binder, in Maps]
v2:32 [binder, in Maps]
v2:39 [binder, in Maps]
v2:63 [binder, in Maps]
v2:73 [binder, in Maps]
v:10 [binder, in Maps]
v:119 [binder, in Lists]
v:130 [binder, in Lists]
v:14 [binder, in Maps]
v:18 [binder, in Maps]
v:22 [binder, in Maps]
v:27 [binder, in Maps]
v:47 [binder, in Maps]
v:48 [binder, in Lists]
v:51 [binder, in Lists]
v:53 [binder, in Lists]
v:53 [binder, in Maps]
v:58 [binder, in Maps]
v:67 [binder, in Maps]
v:78 [binder, in Maps]


W

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


X

X [definition, in Imp]
xo:142 [binder, in Poly]
XtimesYinZ [definition, in Imp]
x':15 [binder, in Maps]
x1:111 [binder, in Lists]
x1:25 [binder, in Maps]
x1:40 [binder, in Maps]
x1:56 [binder, in Maps]
x1:70 [binder, in Maps]
x2:112 [binder, in Lists]
x2:26 [binder, in Maps]
x2:41 [binder, in Maps]
x2:57 [binder, in Maps]
x2:71 [binder, in Maps]
x:1 [binder, in Maps]
X:10 [binder, in Poly]
x:100 [binder, in ProofObjects]
x:100 [binder, in IndProp]
x:101 [binder, in Tactics]
X:102 [binder, in Poly]
X:103 [binder, in ProofObjects]
x:103 [binder, in Tactics]
x:104 [binder, in ProofObjects]
x:104 [binder, in IndProp]
X:105 [binder, in Poly]
X:106 [binder, in Poly]
X:107 [binder, in ProofObjects]
x:108 [binder, in ProofObjects]
x:108 [binder, in Logic]
X:11 [binder, in Poly]
X:110 [binder, in Tactics]
X:111 [binder, in Poly]
x:114 [binder, in Logic]
x:115 [binder, in Lists]
X:115 [binder, in Tactics]
X:117 [binder, in Poly]
X:12 [binder, in Poly]
x:120 [binder, in Basics]
x:120 [binder, in Poly]
X:121 [binder, in Poly]
x:122 [binder, in Lists]
x:124 [binder, in Lists]
x:127 [binder, in Logic]
x:127 [binder, in Poly]
x:129 [binder, in Lists]
X:129 [binder, in Poly]
x:13 [binder, in Poly]
x:13 [binder, in Maps]
X:130 [binder, in Tactics]
x:130 [binder, in Logic]
x:132 [binder, in Lists]
x:132 [binder, in Tactics]
x:133 [binder, in Logic]
X:133 [binder, in Poly]
x:136 [binder, in Logic]
x:137 [binder, in IndProp]
X:139 [binder, in Poly]
x:140 [binder, in Logic]
x:141 [binder, in AltAuto]
x:142 [binder, in AltAuto]
x:143 [binder, in AltAuto]
X:144 [binder, in Poly]
x:150 [binder, in Logic]
x:151 [binder, in Logic]
X:151 [binder, in Poly]
x:152 [binder, in Logic]
x:152 [binder, in Poly]
x:153 [binder, in Logic]
X:154 [binder, in Logic]
X:154 [binder, in Poly]
X:157 [binder, in Poly]
x:158 [binder, in Logic]
x:160 [binder, in Logic]
x:161 [binder, in Logic]
X:17 [binder, in Poly]
X:17 [binder, in IndProp]
x:17 [binder, in Maps]
x:176 [binder, in Logic]
x:18 [binder, in Poly]
x:182 [binder, in IndProp]
X:191 [binder, in Logic]
X:195 [binder, in Logic]
x:196 [binder, in Imp]
x:198 [binder, in Logic]
X:205 [binder, in Logic]
x:207 [binder, in Logic]
x:208 [binder, in Logic]
x:21 [binder, in IndProp]
x:21 [binder, in Maps]
X:22 [binder, in Poly]
x:226 [binder, in Imp]
X:23 [binder, in Poly]
x:23 [binder, in IndProp]
x:234 [binder, in IndProp]
X:24 [binder, in Tactics]
X:24 [binder, in Poly]
x:246 [binder, in Imp]
x:248 [binder, in IndProp]
x:25 [binder, in Poly]
X:26 [binder, in AltAuto]
x:277 [binder, in Imp]
X:29 [binder, in Poly]
X:29 [binder, in AltAuto]
x:30 [binder, in Poly]
x:30 [binder, in Maps]
X:34 [binder, in Poly]
x:35 [binder, in Maps]
x:37 [binder, in Poly]
X:39 [binder, in Poly]
X:44 [binder, in Poly]
x:46 [binder, in Maps]
X:48 [binder, in Poly]
x:49 [binder, in Maps]
X:5 [binder, in Poly]
X:51 [binder, in Tactics]
x:52 [binder, in Tactics]
X:52 [binder, in Poly]
x:52 [binder, in Maps]
X:53 [binder, in Poly]
X:59 [binder, in Poly]
x:6 [binder, in Maps]
X:60 [binder, in Tactics]
x:61 [binder, in Tactics]
x:61 [binder, in Maps]
X:62 [binder, in Poly]
x:65 [binder, in ProofObjects]
X:65 [binder, in Poly]
x:66 [binder, in ProofObjects]
x:66 [binder, in Maps]
X:67 [binder, in Poly]
x:70 [binder, in Tactics]
x:71 [binder, in Poly]
X:73 [binder, in Poly]
x:73 [binder, in AltAuto]
X:77 [binder, in Poly]
x:77 [binder, in Maps]
X:78 [binder, in ProofObjects]
x:8 [binder, in Logic]
x:8 [binder, in Poly]
x:80 [binder, in AltAuto]
x:81 [binder, in ProofObjects]
X:81 [binder, in Poly]
X:82 [binder, in ProofObjects]
x:82 [binder, in Logic]
x:82 [binder, in Maps]
x:83 [binder, in ProofObjects]
X:84 [binder, in ProofObjects]
x:85 [binder, in ProofObjects]
X:86 [binder, in AltAuto]
X:87 [binder, in Logic]
X:88 [binder, in Poly]
x:89 [binder, in Logic]
x:90 [binder, in Logic]
X:91 [binder, in Logic]
X:92 [binder, in Poly]
x:93 [binder, in AltAuto]
X:94 [binder, in ProofObjects]
x:94 [binder, in Logic]
x:95 [binder, in Logic]
x:95 [binder, in Poly]
X:96 [binder, in Tactics]
x:96 [binder, in Logic]
X:96 [binder, in Poly]
x:97 [binder, in AltAuto]
x:98 [binder, in Logic]
X:99 [binder, in ProofObjects]


Y

Y [definition, in Imp]
y:101 [binder, in ProofObjects]
y:105 [binder, in ProofObjects]
y:109 [binder, in ProofObjects]
Y:111 [binder, in Tactics]
y:113 [binder, in Logic]
Y:116 [binder, in Tactics]
Y:122 [binder, in Poly]
Y:130 [binder, in Poly]
y:131 [binder, in Logic]
y:133 [binder, in Lists]
y:134 [binder, in Logic]
Y:134 [binder, in Poly]
y:137 [binder, in Logic]
Y:140 [binder, in Poly]
Y:145 [binder, in Poly]
Y:155 [binder, in Logic]
y:177 [binder, in Logic]
y:22 [binder, in IndProp]
y:24 [binder, in IndProp]
y:53 [binder, in Tactics]
y:62 [binder, in Tactics]
Y:68 [binder, in Poly]
y:7 [binder, in Maps]
y:71 [binder, in Tactics]
y:72 [binder, in Poly]
Y:74 [binder, in Poly]
y:74 [binder, in AltAuto]
Y:78 [binder, in Poly]
y:81 [binder, in AltAuto]
Y:82 [binder, in Poly]
Y:89 [binder, in Poly]
y:9 [binder, in Logic]
y:94 [binder, in AltAuto]
y:98 [binder, in AltAuto]


Z

Z [definition, in Imp]
zero_nbeq_plus_1 [lemma, in Basics]
zero_not_one [lemma, in Logic]
zero_or_succ [lemma, in Logic]
z:132 [binder, in Logic]
z:135 [binder, in Logic]
z:138 [binder, in Logic]
z:25 [binder, in IndProp]
z:54 [binder, in Tactics]
z:63 [binder, in Tactics]


other

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:_ _ .. _ (com_scope) [notation, in Imp]
com:_ (com_scope) [notation, in Imp]
com:( _ ) (com_scope) [notation, in Imp]
com:_ && _ [notation, in Imp]
com:_ <> _ [notation, in Imp]
com:_ = _ [notation, in Imp]
com:_ > _ [notation, in Imp]
com:_ <= _ [notation, in Imp]
com:_ * _ [notation, in Imp]
com:_ - _ [notation, in Imp]
com:_ + _ [notation, in Imp]
com:false [notation, in Imp]
com:true [notation, in Imp]
com:~ _ [notation, in Imp]
<{ _ }> (com_scope) [notation, in Imp]
_ <? _ (nat_scope) [notation, in Basics]
_ <=? _ (nat_scope) [notation, in Basics]
_ =? _ (nat_scope) [notation, in Basics]
_ * _ (nat_scope) [notation, in Basics]
_ - _ (nat_scope) [notation, in Basics]
_ + _ (nat_scope) [notation, in Basics]
_ * _ (type_scope) [notation, in Poly]
_ =[ _ ]=> _ [notation, in Imp]
_ !-> _ [notation, in Imp]
_ || _ [notation, in Basics]
_ && _ [notation, in Basics]
_ ++ _ [notation, in Poly]
_ :: _ [notation, in Poly]
_ <=2 _ [notation, in IndPrinciples]
_ <=1 _ [notation, in IndPrinciples]
_ =~ _ [notation, in IndProp]
_ > _ [notation, in Maps]
_ > _ ; _ [notation, in Maps]
_ !-> _ ; _ [notation, in Maps]
false [notation, in Imp]
true [notation, in Imp]
'_' !-> _ [notation, in Maps]
( _ , _ ) [notation, in Poly]
[ _ ; .. ; _ ] [notation, in Poly]
[ ] [notation, in Poly]



Notation Index

A

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


E

_ == _ (type_scope) [in ProofObjects]


I

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


N

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


P

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


other

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:_ _ .. _ (com_scope) [in Imp]
com:_ (com_scope) [in Imp]
com:( _ ) (com_scope) [in Imp]
com:_ && _ [in Imp]
com:_ <> _ [in Imp]
com:_ = _ [in Imp]
com:_ > _ [in Imp]
com:_ <= _ [in Imp]
com:_ * _ [in Imp]
com:_ - _ [in Imp]
com:_ + _ [in Imp]
com:false [in Imp]
com:true [in Imp]
com:~ _ [in Imp]
<{ _ }> (com_scope) [in Imp]
_ <? _ (nat_scope) [in Basics]
_ <=? _ (nat_scope) [in Basics]
_ =? _ (nat_scope) [in Basics]
_ * _ (nat_scope) [in Basics]
_ - _ (nat_scope) [in Basics]
_ + _ (nat_scope) [in Basics]
_ * _ (type_scope) [in Poly]
_ =[ _ ]=> _ [in Imp]
_ !-> _ [in Imp]
_ || _ [in Basics]
_ && _ [in Basics]
_ ++ _ [in Poly]
_ :: _ [in Poly]
_ <=2 _ [in IndPrinciples]
_ <=1 _ [in IndPrinciples]
_ =~ _ [in IndProp]
_ > _ [in Maps]
_ > _ ; _ [in Maps]
_ !-> _ ; _ [in Maps]
false [in Imp]
true [in Imp]
'_' !-> _ [in Maps]
( _ , _ ) [in Poly]
[ _ ; .. ; _ ] [in Poly]
[ ] [in Poly]



Binder Index

A

ae:33 [in Imp]
a1:113 [in Imp]
a1:117 [in Imp]
a1:12 [in Imp]
a1:121 [in Imp]
a1:125 [in Imp]
a1:14 [in Imp]
a1:140 [in Imp]
a1:142 [in Imp]
a1:144 [in Imp]
a1:146 [in Imp]
a1:151 [in Imp]
a1:155 [in Imp]
a1:159 [in Imp]
a1:16 [in Imp]
a1:163 [in Imp]
a1:171 [in Imp]
a1:173 [in Imp]
a1:175 [in Imp]
a1:18 [in Imp]
a1:181 [in Imp]
a1:185 [in Imp]
a1:187 [in Logic]
a1:189 [in Imp]
a1:197 [in Imp]
a1:199 [in Imp]
a1:201 [in Imp]
a1:205 [in Imp]
a1:207 [in Imp]
a1:209 [in Imp]
a1:211 [in Imp]
a1:4 [in Imp]
a1:6 [in Imp]
a1:8 [in Imp]
a2:114 [in Imp]
a2:118 [in Imp]
a2:122 [in Imp]
a2:126 [in Imp]
a2:13 [in Imp]
a2:141 [in Imp]
a2:143 [in Imp]
a2:145 [in Imp]
a2:147 [in Imp]
a2:15 [in Imp]
a2:152 [in Imp]
a2:156 [in Imp]
a2:160 [in Imp]
a2:164 [in Imp]
a2:17 [in Imp]
a2:172 [in Imp]
a2:174 [in Imp]
a2:176 [in Imp]
a2:182 [in Imp]
a2:186 [in Imp]
a2:188 [in Logic]
a2:19 [in Imp]
a2:190 [in Imp]
a2:198 [in Imp]
a2:200 [in Imp]
a2:202 [in Imp]
a2:206 [in Imp]
a2:208 [in Imp]
a2:210 [in Imp]
a2:212 [in Imp]
a2:5 [in Imp]
a2:7 [in Imp]
a2:9 [in Imp]
A:10 [in Logic]
A:104 [in Logic]
a:107 [in Imp]
a:109 [in Imp]
A:109 [in Logic]
A:11 [in Logic]
A:11 [in Maps]
A:115 [in Logic]
a:118 [in Logic]
A:139 [in Logic]
a:153 [in AltAuto]
a:157 [in AltAuto]
A:16 [in Maps]
a:161 [in AltAuto]
A:178 [in Logic]
a:18 [in Tactics]
A:185 [in Logic]
A:19 [in Maps]
a:217 [in Imp]
a:227 [in Imp]
a:23 [in Imp]
A:23 [in Maps]
a:244 [in Imp]
a:28 [in Tactics]
A:28 [in Maps]
a:29 [in Imp]
a:32 [in Imp]
A:32 [in Logic]
A:33 [in Maps]
a:34 [in Tactics]
A:36 [in Maps]
a:37 [in Imp]
a:38 [in Imp]
A:42 [in Maps]
A:43 [in Maps]
a:44 [in Imp]
A:44 [in Maps]
A:48 [in Maps]
A:5 [in Logic]
A:50 [in Maps]
A:54 [in Maps]
A:55 [in Poly]
A:59 [in Maps]
A:61 [in ProofObjects]
A:64 [in Maps]
a:65 [in IndProp]
A:67 [in Tactics]
A:68 [in AltAuto]
A:68 [in Maps]
A:74 [in Maps]
A:75 [in AltAuto]
A:79 [in Maps]
A:8 [in Maps]
A:9 [in Maps]
A:97 [in Logic]


B

base:71 [in Basics]
bv:136 [in Imp]
b0:38 [in Basics]
b1:12 [in Basics]
b1:131 [in Imp]
b1:16 [in Basics]
b1:172 [in Logic]
b1:174 [in Logic]
b1:18 [in Basics]
b1:20 [in Basics]
b1:21 [in Imp]
b1:214 [in Imp]
b1:22 [in Basics]
b1:39 [in Basics]
b1:9 [in Basics]
b2:10 [in Basics]
b2:13 [in Basics]
b2:132 [in Imp]
b2:17 [in Basics]
b2:173 [in Logic]
b2:175 [in Logic]
b2:19 [in Basics]
b2:21 [in Basics]
b2:215 [in Imp]
b2:22 [in Imp]
b2:23 [in Basics]
b2:40 [in Basics]
b3:24 [in Basics]
b3:41 [in Basics]
b:105 [in Basics]
B:105 [in Logic]
b:106 [in Basics]
b:108 [in Basics]
b:110 [in Basics]
B:110 [in Logic]
b:113 [in Basics]
b:116 [in Basics]
B:12 [in Logic]
b:121 [in Basics]
b:122 [in Basics]
b:124 [in Tactics]
b:129 [in Imp]
b:13 [in AltAuto]
b:135 [in Imp]
b:148 [in Poly]
b:15 [in Basics]
b:154 [in AltAuto]
b:158 [in AltAuto]
b:162 [in AltAuto]
b:19 [in Tactics]
b:20 [in Imp]
b:201 [in Logic]
b:213 [in Imp]
b:221 [in Imp]
b:230 [in Imp]
b:233 [in Imp]
b:241 [in IndProp]
b:243 [in IndProp]
b:254 [in Imp]
b:259 [in Imp]
b:26 [in Imp]
b:262 [in Imp]
b:268 [in Imp]
b:29 [in Tactics]
b:3 [in Poly]
B:33 [in Logic]
b:35 [in Tactics]
b:41 [in Imp]
b:43 [in Imp]
b:45 [in Imp]
b:51 [in Logic]
b:52 [in Logic]
B:6 [in Logic]
b:60 [in Logic]
b:66 [in IndProp]
B:68 [in Tactics]
B:69 [in AltAuto]
b:7 [in Basics]
B:76 [in AltAuto]
b:78 [in Tactics]


C

contra:75 [in ProofObjects]
count:14 [in Poly]
count:19 [in Poly]
count:25 [in Lists]
count:26 [in Poly]
count:31 [in Poly]
c1:228 [in Imp]
c1:231 [in Imp]
c1:247 [in Imp]
c1:255 [in Imp]
c1:260 [in Imp]
c2:229 [in Imp]
c2:232 [in Imp]
c2:248 [in Imp]
c2:256 [in Imp]
c2:261 [in Imp]
c:107 [in Basics]
c:109 [in Basics]
c:111 [in Basics]
c:114 [in Basics]
c:117 [in Basics]
c:123 [in Basics]
c:14 [in AltAuto]
c:155 [in AltAuto]
c:159 [in AltAuto]
c:163 [in AltAuto]
c:20 [in Tactics]
c:234 [in Imp]
c:236 [in Imp]
c:264 [in Imp]
c:269 [in Imp]
c:270 [in Imp]
c:30 [in Tactics]
c:30 [in Basics]
c:32 [in Basics]
c:36 [in Tactics]
c:46 [in Imp]
C:70 [in AltAuto]
C:77 [in AltAuto]


D

default:107 [in Lists]
default:35 [in Lists]
d:102 [in Lists]
d:112 [in Basics]
d:121 [in Lists]
d:125 [in Lists]
d:128 [in Lists]
d:131 [in Lists]
d:156 [in AltAuto]
d:160 [in AltAuto]
d:164 [in AltAuto]
d:21 [in Tactics]
d:3 [in Basics]
d:31 [in Tactics]
d:37 [in Tactics]


E

eqb:179 [in Logic]
eqb:186 [in Logic]
evPO:70 [in IndPrinciples]
evPS:72 [in IndPrinciples]
e1:103 [in Imp]
e1:59 [in Imp]
e1:63 [in Imp]
e1:67 [in Imp]
e1:74 [in Imp]
e1:80 [in Imp]
e1:86 [in Imp]
e1:95 [in Imp]
e1:99 [in Imp]
e2:100 [in Imp]
e2:104 [in Imp]
e2:60 [in Imp]
e2:64 [in Imp]
e2:68 [in Imp]
e2:75 [in Imp]
e2:81 [in Imp]
e2:87 [in Imp]
e2:96 [in Imp]
E:14 [in ProofObjects]
e:22 [in Tactics]
e:282 [in Imp]
e:290 [in Imp]
e:293 [in Imp]
e:32 [in Tactics]
e:38 [in Tactics]


F

foo:49 [in Basics]
f:103 [in Poly]
f:106 [in Logic]
f:111 [in Logic]
f:119 [in Basics]
f:123 [in Tactics]
f:123 [in Poly]
f:131 [in Poly]
f:135 [in Poly]
f:141 [in Poly]
f:146 [in Poly]
f:156 [in Logic]
f:23 [in Tactics]
f:33 [in Tactics]
f:39 [in Tactics]
f:69 [in Tactics]
f:7 [in Logic]
f:71 [in AltAuto]
f:78 [in AltAuto]
f:83 [in Lists]


G

g:157 [in Logic]
g:72 [in AltAuto]
g:79 [in AltAuto]


H

Heq:90 [in ProofObjects]
Hm:44 [in IndPrinciples]
Hn:43 [in IndPrinciples]
HPQ:52 [in ProofObjects]
HPR:53 [in ProofObjects]
HP:43 [in ProofObjects]
HQR:54 [in ProofObjects]
H1:142 [in IndProp]
H1:147 [in IndProp]
H1:156 [in IndProp]
H1:78 [in Imp]
H1:84 [in Imp]
H1:90 [in Imp]
h1:95 [in ProofObjects]
H2:143 [in IndProp]
H2:151 [in IndProp]
H2:157 [in IndProp]
H2:79 [in Imp]
H2:85 [in Imp]
H2:91 [in Imp]
h2:96 [in ProofObjects]
H:103 [in IndProp]
H:107 [in IndProp]
H:11 [in ProofObjects]
H:238 [in IndProp]
H:239 [in IndProp]
H:28 [in ProofObjects]
H:29 [in IndProp]
H:4 [in ProofObjects]
H:55 [in IndPrinciples]
h:87 [in AltAuto]
H:9 [in ProofObjects]


I

i:118 [in Lists]


J

j:56 [in Tactics]
j:65 [in Tactics]


K

k':45 [in IndProp]
k':47 [in IndProp]
k:153 [in Poly]
k:162 [in Logic]
k:164 [in Logic]


L

lf:134 [in Tactics]
lst1:21 [in AltAuto]
lst1:27 [in AltAuto]
lst1:30 [in AltAuto]
lst2:22 [in AltAuto]
lst2:28 [in AltAuto]
lst2:31 [in AltAuto]
lst:18 [in AltAuto]
lx:83 [in Poly]
ly:84 [in Poly]
l':117 [in Logic]
l':17 [in Tactics]
l1:101 [in IndProp]
l1:105 [in IndProp]
l1:109 [in IndProp]
l1:112 [in IndProp]
l1:118 [in Tactics]
l1:180 [in Logic]
l1:189 [in Logic]
l1:31 [in Lists]
l1:40 [in Poly]
l1:45 [in Lists]
l1:58 [in Lists]
l1:60 [in Poly]
l1:63 [in Poly]
l1:65 [in Lists]
l1:69 [in Lists]
l1:72 [in Lists]
l1:76 [in Lists]
l1:78 [in Lists]
l1:87 [in Lists]
l2:102 [in IndProp]
l2:106 [in IndProp]
l2:110 [in IndProp]
l2:113 [in IndProp]
l2:119 [in Tactics]
l2:181 [in Logic]
l2:190 [in Logic]
l2:32 [in Lists]
l2:41 [in Poly]
l2:46 [in Lists]
l2:59 [in Lists]
l2:61 [in Poly]
l2:64 [in Poly]
l2:66 [in Lists]
l2:70 [in Lists]
l2:73 [in Lists]
l2:77 [in Lists]
l2:79 [in Lists]
l2:88 [in Lists]
l3:111 [in IndProp]
l3:114 [in IndProp]
l3:60 [in Lists]
l3:74 [in Lists]
l4:75 [in Lists]
l:105 [in Lists]
l:106 [in Lists]
l:107 [in Logic]
l:108 [in Poly]
l:108 [in IndProp]
l:112 [in Tactics]
l:112 [in Logic]
l:112 [in Poly]
l:113 [in Poly]
l:115 [in Poly]
l:116 [in Logic]
l:116 [in Poly]
l:117 [in Tactics]
l:119 [in Poly]
l:121 [in Logic]
l:124 [in Poly]
l:126 [in Logic]
l:13 [in IndPrinciples]
l:132 [in Poly]
l:133 [in Tactics]
l:136 [in Poly]
l:141 [in Logic]
l:142 [in Logic]
l:143 [in Logic]
l:144 [in Logic]
l:145 [in Logic]
l:146 [in Logic]
l:147 [in Poly]
l:155 [in Poly]
l:158 [in Poly]
l:159 [in IndProp]
l:16 [in Tactics]
l:16 [in IndPrinciples]
l:17 [in IndPrinciples]
l:193 [in Logic]
l:197 [in Logic]
l:20 [in IndPrinciples]
l:213 [in IndProp]
l:219 [in IndProp]
l:23 [in Lists]
l:23 [in IndPrinciples]
l:233 [in IndProp]
l:247 [in IndProp]
l:250 [in IndProp]
l:254 [in IndProp]
l:28 [in Lists]
l:36 [in Lists]
l:38 [in Lists]
l:38 [in Poly]
l:4 [in Poly]
l:40 [in Lists]
l:42 [in Lists]
l:44 [in Lists]
l:45 [in Poly]
l:49 [in Poly]
l:54 [in Poly]
l:55 [in Tactics]
l:56 [in Lists]
l:56 [in Poly]
l:57 [in Lists]
l:61 [in Lists]
l:64 [in Lists]
l:64 [in Tactics]
l:66 [in Poly]
l:67 [in Lists]
l:68 [in Lists]
l:71 [in Lists]
l:81 [in Lists]
l:89 [in Lists]
l:9 [in Poly]
l:90 [in Poly]
l:97 [in Lists]
l:97 [in Tactics]
l:97 [in Poly]
l:99 [in Logic]
l:99 [in IndProp]


M

m':76 [in Maps]
m':81 [in Maps]
m:100 [in Tactics]
m:102 [in Tactics]
m:102 [in AltAuto]
m:105 [in Tactics]
m:105 [in AltAuto]
m:106 [in Tactics]
m:107 [in Tactics]
m:108 [in AltAuto]
m:11 [in Induction]
m:12 [in Maps]
m:120 [in Lists]
m:126 [in Tactics]
m:128 [in Tactics]
m:129 [in Logic]
m:134 [in AltAuto]
m:136 [in AltAuto]
m:139 [in AltAuto]
m:14 [in Logic]
m:145 [in AltAuto]
m:149 [in Logic]
m:15 [in Tactics]
m:152 [in AltAuto]
m:16 [in Lists]
m:16 [in Logic]
m:16 [in IndProp]
m:16 [in AltAuto]
m:170 [in Logic]
m:18 [in Logic]
m:19 [in Induction]
m:2 [in Tactics]
m:2 [in Logic]
m:20 [in Logic]
m:20 [in Maps]
m:203 [in Logic]
m:21 [in Induction]
m:218 [in IndProp]
m:22 [in Logic]
m:221 [in IndProp]
m:231 [in IndProp]
m:24 [in Induction]
m:24 [in Maps]
m:245 [in IndProp]
m:26 [in Tactics]
m:27 [in Induction]
m:29 [in Induction]
m:29 [in Maps]
m:3 [in Maps]
m:30 [in IndPrinciples]
m:31 [in Logic]
m:32 [in Induction]
m:33 [in IndPrinciples]
m:33 [in AltAuto]
m:34 [in Maps]
m:35 [in Induction]
m:35 [in IndPrinciples]
m:36 [in Logic]
m:37 [in Maps]
m:39 [in Imp]
m:4 [in Tactics]
m:41 [in Tactics]
m:41 [in IndProp]
m:42 [in IndPrinciples]
m:45 [in Tactics]
m:45 [in Maps]
m:47 [in Tactics]
m:47 [in Imp]
m:49 [in Tactics]
m:5 [in Maps]
m:50 [in IndPrinciples]
m:51 [in Imp]
m:51 [in Maps]
m:52 [in IndProp]
m:53 [in Imp]
m:53 [in AltAuto]
m:54 [in IndPrinciples]
m:54 [in IndProp]
m:55 [in IndProp]
m:55 [in Maps]
m:57 [in Poly]
m:57 [in AltAuto]
m:58 [in Tactics]
m:59 [in Basics]
m:59 [in IndPrinciples]
m:60 [in IndProp]
m:60 [in Maps]
m:62 [in IndProp]
m:63 [in Basics]
m:64 [in IndPrinciples]
m:64 [in IndProp]
m:64 [in AltAuto]
m:65 [in Maps]
m:67 [in Basics]
m:67 [in AltAuto]
m:69 [in IndProp]
m:69 [in Maps]
m:7 [in Induction]
m:71 [in IndProp]
m:73 [in Tactics]
m:75 [in Tactics]
m:75 [in Logic]
m:75 [in IndProp]
m:75 [in Maps]
m:77 [in Tactics]
m:78 [in Basics]
m:78 [in IndProp]
m:8 [in Tactics]
m:80 [in Tactics]
m:80 [in Logic]
m:80 [in Maps]
m:81 [in IndProp]
m:83 [in AltAuto]
m:84 [in Tactics]
m:84 [in Basics]
m:84 [in IndProp]
m:85 [in Logic]
m:86 [in Tactics]
m:87 [in IndProp]
m:88 [in Tactics]
m:89 [in Basics]
m:89 [in IndProp]
m:9 [in Induction]
m:90 [in Tactics]
m:91 [in IndProp]
m:92 [in Tactics]
m:93 [in IndProp]
m:94 [in Tactics]
m:95 [in IndProp]
m:96 [in Basics]
m:98 [in Basics]


N

nb:42 [in Basics]
ns:148 [in Logic]
n':103 [in Logic]
n':36 [in IndProp]
n0:46 [in IndProp]
n0:48 [in IndProp]
n0:61 [in IndPrinciples]
n0:65 [in IndPrinciples]
n1:101 [in Imp]
n1:105 [in Imp]
n1:115 [in Imp]
n1:119 [in Imp]
n1:123 [in Imp]
n1:127 [in Imp]
n1:153 [in Imp]
n1:157 [in Imp]
n1:161 [in Imp]
n1:165 [in Imp]
n1:166 [in Logic]
n1:183 [in Imp]
n1:187 [in Imp]
n1:191 [in Imp]
n1:3 [in Lists]
n1:61 [in Imp]
n1:65 [in Imp]
n1:67 [in IndProp]
n1:69 [in Imp]
n1:76 [in Imp]
n1:82 [in Imp]
n1:85 [in Lists]
n1:85 [in IndProp]
n1:86 [in ProofObjects]
n1:88 [in ProofObjects]
n1:88 [in Imp]
n1:92 [in ProofObjects]
n1:97 [in Imp]
n2:102 [in Imp]
n2:106 [in Imp]
n2:116 [in Imp]
n2:120 [in Imp]
n2:124 [in Imp]
n2:128 [in Imp]
n2:154 [in Imp]
n2:158 [in Imp]
n2:162 [in Imp]
n2:166 [in Imp]
n2:167 [in Logic]
n2:184 [in Imp]
n2:188 [in Imp]
n2:192 [in Imp]
n2:4 [in Lists]
n2:62 [in Imp]
n2:66 [in Imp]
n2:68 [in IndProp]
n2:70 [in Imp]
n2:77 [in Imp]
n2:83 [in Imp]
n2:86 [in Lists]
n2:86 [in IndProp]
n2:87 [in ProofObjects]
n2:89 [in ProofObjects]
n2:89 [in Imp]
n2:93 [in ProofObjects]
n2:98 [in Imp]
n3:167 [in Imp]
n:1 [in Tactics]
n:1 [in Logic]
n:1 [in Induction]
n:1 [in IndProp]
n:10 [in ProofObjects]
n:10 [in Induction]
n:10 [in IndProp]
n:10 [in AltAuto]
n:101 [in AltAuto]
n:102 [in Logic]
n:103 [in Basics]
n:104 [in Basics]
n:104 [in Poly]
n:104 [in AltAuto]
n:107 [in AltAuto]
n:108 [in Tactics]
n:108 [in Imp]
n:109 [in Tactics]
n:11 [in AltAuto]
n:110 [in Lists]
n:110 [in Imp]
n:114 [in Poly]
n:115 [in Basics]
n:117 [in IndProp]
n:118 [in Basics]
n:118 [in IndProp]
n:12 [in ProofObjects]
n:12 [in Tactics]
n:12 [in IndPrinciples]
n:12 [in AltAuto]
n:120 [in Tactics]
n:121 [in Tactics]
n:121 [in IndProp]
n:122 [in Tactics]
n:122 [in IndProp]
n:125 [in Tactics]
n:127 [in Tactics]
n:128 [in Logic]
n:128 [in Poly]
n:13 [in ProofObjects]
n:13 [in Tactics]
n:13 [in Logic]
n:13 [in Induction]
n:133 [in AltAuto]
n:135 [in AltAuto]
n:138 [in Poly]
n:138 [in AltAuto]
n:139 [in Imp]
n:14 [in Tactics]
n:14 [in IndProp]
n:144 [in AltAuto]
n:147 [in Logic]
n:15 [in ProofObjects]
n:15 [in Lists]
n:15 [in Logic]
n:15 [in IndPrinciples]
n:15 [in IndProp]
n:15 [in AltAuto]
n:150 [in Imp]
n:156 [in Poly]
n:16 [in ProofObjects]
n:16 [in Induction]
n:163 [in Logic]
n:165 [in Logic]
n:168 [in Logic]
n:169 [in Logic]
n:17 [in Logic]
n:17 [in Induction]
n:170 [in Imp]
n:179 [in Imp]
n:18 [in Induction]
n:180 [in Imp]
n:19 [in Logic]
n:195 [in Imp]
n:2 [in Induction]
n:2 [in IndPrinciples]
n:2 [in Maps]
n:20 [in Induction]
n:202 [in Logic]
n:21 [in Logic]
n:21 [in IndPrinciples]
n:212 [in IndProp]
n:217 [in IndProp]
n:22 [in Lists]
n:23 [in Induction]
n:232 [in IndProp]
n:24 [in Lists]
n:24 [in IndPrinciples]
n:244 [in IndProp]
n:245 [in Imp]
n:246 [in IndProp]
n:249 [in IndProp]
n:25 [in Tactics]
n:25 [in IndPrinciples]
n:253 [in IndProp]
n:26 [in Induction]
n:26 [in IndPrinciples]
n:27 [in IndPrinciples]
n:276 [in Imp]
n:28 [in IndPrinciples]
n:28 [in IndProp]
n:29 [in IndPrinciples]
n:3 [in ProofObjects]
n:3 [in Tactics]
n:3 [in Imp]
n:3 [in Logic]
n:3 [in Induction]
n:3 [in IndPrinciples]
n:30 [in Logic]
n:30 [in Induction]
n:30 [in IndProp]
n:31 [in Induction]
n:32 [in IndPrinciples]
n:32 [in AltAuto]
n:33 [in IndProp]
n:34 [in Logic]
n:34 [in Induction]
n:34 [in IndPrinciples]
n:34 [in IndProp]
n:35 [in Imp]
n:35 [in Logic]
n:35 [in IndProp]
n:36 [in Imp]
n:37 [in Induction]
n:37 [in IndPrinciples]
n:37 [in IndProp]
n:38 [in Induction]
n:38 [in IndPrinciples]
n:38 [in IndProp]
n:39 [in IndProp]
n:4 [in Logic]
n:4 [in Induction]
n:4 [in IndPrinciples]
n:4 [in IndProp]
n:4 [in Maps]
n:40 [in Tactics]
n:40 [in Imp]
n:40 [in IndProp]
n:41 [in IndPrinciples]
n:43 [in IndProp]
n:44 [in Tactics]
n:44 [in IndProp]
n:45 [in IndPrinciples]
n:46 [in Tactics]
n:46 [in Basics]
n:48 [in Tactics]
n:48 [in Imp]
n:48 [in IndPrinciples]
n:49 [in IndPrinciples]
n:49 [in IndProp]
n:5 [in ProofObjects]
n:5 [in Induction]
n:5 [in IndPrinciples]
n:5 [in IndProp]
n:50 [in Basics]
n:50 [in IndProp]
n:51 [in IndPrinciples]
n:51 [in IndProp]
n:52 [in Imp]
n:52 [in Basics]
n:52 [in AltAuto]
n:53 [in Logic]
n:53 [in IndProp]
n:54 [in Imp]
n:54 [in Basics]
n:55 [in Logic]
n:56 [in IndProp]
n:56 [in AltAuto]
n:57 [in Tactics]
n:57 [in Basics]
n:57 [in IndPrinciples]
n:58 [in Imp]
n:58 [in Basics]
n:58 [in Poly]
n:58 [in IndPrinciples]
n:58 [in IndProp]
n:59 [in Tactics]
n:59 [in IndProp]
n:6 [in ProofObjects]
n:6 [in Induction]
n:60 [in IndPrinciples]
n:60 [in AltAuto]
n:61 [in IndProp]
n:61 [in AltAuto]
n:62 [in Basics]
n:62 [in IndPrinciples]
n:62 [in AltAuto]
n:63 [in IndProp]
n:63 [in AltAuto]
n:65 [in AltAuto]
n:66 [in Tactics]
n:66 [in Basics]
n:66 [in AltAuto]
n:67 [in ProofObjects]
n:67 [in IndPrinciples]
n:68 [in ProofObjects]
n:68 [in IndPrinciples]
n:69 [in ProofObjects]
n:7 [in ProofObjects]
n:7 [in Tactics]
n:70 [in IndProp]
n:71 [in IndPrinciples]
n:72 [in Tactics]
n:73 [in Imp]
n:73 [in IndPrinciples]
n:74 [in Tactics]
n:74 [in Logic]
n:74 [in IndProp]
n:75 [in Basics]
n:76 [in Tactics]
n:76 [in IndPrinciples]
n:77 [in Basics]
n:77 [in IndProp]
n:78 [in IndPrinciples]
n:79 [in Tactics]
n:79 [in Logic]
n:79 [in IndPrinciples]
n:8 [in ProofObjects]
n:8 [in Induction]
n:8 [in AltAuto]
n:80 [in IndProp]
n:82 [in AltAuto]
n:83 [in Tactics]
n:83 [in Basics]
n:83 [in Logic]
n:83 [in IndProp]
n:84 [in Lists]
n:84 [in Logic]
n:84 [in IndPrinciples]
n:85 [in Tactics]
n:87 [in Tactics]
n:87 [in IndPrinciples]
n:88 [in Basics]
n:88 [in IndProp]
n:89 [in Tactics]
n:9 [in IndProp]
n:90 [in Lists]
n:90 [in Basics]
n:90 [in IndProp]
n:91 [in Tactics]
n:91 [in Basics]
n:92 [in Basics]
n:92 [in IndProp]
n:93 [in Tactics]
n:93 [in Basics]
n:94 [in Imp]
n:94 [in Basics]
n:94 [in IndProp]
n:95 [in Tactics]
n:95 [in Basics]
n:96 [in Lists]
n:97 [in Basics]
n:98 [in Lists]
n:98 [in Tactics]
n:98 [in Poly]
n:99 [in Tactics]


O

o:103 [in Lists]
o:103 [in AltAuto]
o:134 [in Lists]
o:27 [in Tactics]
o:42 [in Tactics]
o:42 [in IndProp]
o:49 [in Imp]
o:5 [in Tactics]
o:50 [in Tactics]
o:54 [in AltAuto]
o:57 [in IndProp]
o:58 [in AltAuto]
o:84 [in AltAuto]
o:86 [in Logic]
o:96 [in IndProp]
o:99 [in Basics]


P

pf1:134 [in ProofObjects]
pf2:135 [in ProofObjects]
power:72 [in Basics]
prog:280 [in Imp]
PSS:83 [in IndPrinciples]
P0:81 [in IndPrinciples]
p1:286 [in Imp]
P1:82 [in IndPrinciples]
p2:287 [in Imp]
P:1 [in IndPrinciples]
p:100 [in Basics]
P:102 [in ProofObjects]
p:102 [in Basics]
P:106 [in ProofObjects]
p:106 [in AltAuto]
P:109 [in AltAuto]
p:11 [in Lists]
p:11 [in Tactics]
P:110 [in ProofObjects]
P:111 [in ProofObjects]
P:112 [in AltAuto]
P:114 [in ProofObjects]
P:115 [in AltAuto]
P:117 [in ProofObjects]
P:118 [in ProofObjects]
P:118 [in AltAuto]
p:12 [in Induction]
P:120 [in ProofObjects]
P:120 [in Logic]
P:122 [in ProofObjects]
P:124 [in AltAuto]
P:125 [in ProofObjects]
P:125 [in Logic]
P:128 [in ProofObjects]
p:129 [in Tactics]
p:13 [in Lists]
P:130 [in ProofObjects]
P:130 [in AltAuto]
P:132 [in ProofObjects]
P:133 [in ProofObjects]
p:137 [in AltAuto]
P:14 [in IndPrinciples]
p:140 [in AltAuto]
p:17 [in Lists]
p:17 [in AltAuto]
p:171 [in Logic]
P:18 [in ProofObjects]
p:18 [in Lists]
p:19 [in Lists]
P:199 [in Logic]
P:200 [in Logic]
P:204 [in Logic]
P:206 [in Logic]
P:22 [in ProofObjects]
p:22 [in Induction]
P:22 [in IndPrinciples]
P:23 [in Logic]
P:235 [in IndProp]
P:24 [in ProofObjects]
P:240 [in IndProp]
P:242 [in IndProp]
P:25 [in Logic]
p:25 [in Induction]
P:26 [in ProofObjects]
P:27 [in Logic]
p:28 [in Induction]
p:29 [in Basics]
P:30 [in ProofObjects]
p:31 [in IndPrinciples]
P:32 [in ProofObjects]
p:33 [in Induction]
P:34 [in Imp]
p:34 [in AltAuto]
P:35 [in ProofObjects]
p:36 [in Induction]
P:36 [in IndPrinciples]
P:37 [in Logic]
P:39 [in ProofObjects]
P:39 [in Logic]
P:40 [in Logic]
P:41 [in ProofObjects]
P:41 [in Logic]
p:43 [in Tactics]
P:43 [in Logic]
P:44 [in ProofObjects]
P:45 [in Logic]
P:46 [in ProofObjects]
P:46 [in Logic]
P:48 [in Logic]
P:48 [in AltAuto]
P:49 [in ProofObjects]
P:49 [in Logic]
P:49 [in AltAuto]
p:5 [in Lists]
p:50 [in Imp]
P:50 [in AltAuto]
P:51 [in AltAuto]
p:55 [in Imp]
p:55 [in AltAuto]
P:56 [in ProofObjects]
P:56 [in Logic]
P:56 [in IndPrinciples]
P:58 [in Logic]
P:59 [in ProofObjects]
p:59 [in AltAuto]
p:6 [in Tactics]
P:61 [in Logic]
P:62 [in ProofObjects]
P:63 [in IndPrinciples]
P:64 [in Logic]
P:66 [in IndPrinciples]
P:67 [in Logic]
P:68 [in Logic]
P:69 [in IndPrinciples]
p:7 [in Lists]
P:71 [in Logic]
P:72 [in ProofObjects]
p:72 [in IndProp]
p:75 [in Poly]
P:76 [in Logic]
p:76 [in IndProp]
P:77 [in ProofObjects]
P:77 [in IndPrinciples]
p:79 [in Poly]
p:79 [in IndProp]
P:8 [in IndPrinciples]
P:80 [in IndPrinciples]
p:81 [in Tactics]
p:81 [in Logic]
p:82 [in IndProp]
p:85 [in AltAuto]
P:88 [in Logic]
P:89 [in AltAuto]
p:9 [in Lists]
P:9 [in AltAuto]
P:90 [in AltAuto]
P:92 [in Logic]
P:92 [in AltAuto]
P:95 [in AltAuto]
P:99 [in AltAuto]


Q

Q:100 [in AltAuto]
q:101 [in Basics]
Q:110 [in AltAuto]
Q:112 [in ProofObjects]
Q:113 [in AltAuto]
Q:115 [in ProofObjects]
Q:116 [in AltAuto]
Q:119 [in ProofObjects]
Q:119 [in AltAuto]
Q:121 [in ProofObjects]
Q:123 [in ProofObjects]
Q:125 [in AltAuto]
Q:126 [in ProofObjects]
Q:129 [in ProofObjects]
Q:131 [in ProofObjects]
Q:131 [in AltAuto]
Q:19 [in ProofObjects]
Q:23 [in ProofObjects]
Q:24 [in Logic]
Q:25 [in ProofObjects]
Q:26 [in Logic]
Q:27 [in ProofObjects]
Q:28 [in Logic]
Q:31 [in ProofObjects]
Q:33 [in ProofObjects]
Q:36 [in ProofObjects]
Q:38 [in Logic]
Q:40 [in ProofObjects]
Q:42 [in ProofObjects]
Q:42 [in Logic]
Q:44 [in Logic]
Q:45 [in ProofObjects]
Q:47 [in ProofObjects]
Q:47 [in Logic]
Q:50 [in ProofObjects]
Q:50 [in Logic]
Q:57 [in ProofObjects]
Q:57 [in Logic]
Q:59 [in Logic]
Q:60 [in ProofObjects]
Q:62 [in Logic]
Q:65 [in Logic]
Q:69 [in Logic]
Q:72 [in Logic]
q:73 [in IndProp]
Q:77 [in Logic]
q:82 [in Tactics]
q:9 [in Tactics]
Q:91 [in AltAuto]
Q:93 [in Logic]
Q:96 [in AltAuto]


R

re':198 [in IndProp]
re1:139 [in IndProp]
re1:145 [in IndProp]
re1:148 [in IndProp]
re1:169 [in IndProp]
re2:141 [in IndProp]
re2:146 [in IndProp]
re2:150 [in IndProp]
re2:170 [in IndProp]
re:147 [in AltAuto]
re:152 [in IndProp]
re:155 [in IndProp]
re:164 [in IndProp]
re:173 [in IndProp]
re:176 [in IndProp]
re:181 [in IndProp]
re:184 [in IndProp]
re:188 [in IndProp]
re:193 [in IndProp]
re:197 [in IndProp]
re:2 [in AltAuto]
re:202 [in IndProp]
re:204 [in IndProp]
re:208 [in IndProp]
re:210 [in IndProp]
re:224 [in IndProp]
re:226 [in IndProp]
re:24 [in AltAuto]
re:36 [in AltAuto]
re:39 [in AltAuto]
re:43 [in AltAuto]
re:46 [in AltAuto]
re:6 [in AltAuto]
r1:129 [in IndProp]
r1:131 [in IndProp]
r2:130 [in IndProp]
r2:132 [in IndProp]
r:10 [in Tactics]
R:111 [in AltAuto]
R:113 [in ProofObjects]
R:114 [in AltAuto]
R:116 [in ProofObjects]
R:117 [in AltAuto]
R:120 [in AltAuto]
R:124 [in ProofObjects]
R:126 [in AltAuto]
R:127 [in ProofObjects]
R:132 [in AltAuto]
r:133 [in IndProp]
R:18 [in IndProp]
R:29 [in Logic]
R:34 [in ProofObjects]
R:48 [in ProofObjects]
R:51 [in ProofObjects]
R:58 [in ProofObjects]
R:63 [in Logic]
R:66 [in Logic]
R:70 [in Logic]
R:73 [in Logic]
R:78 [in Logic]


S

ss:172 [in IndProp]
stack:279 [in Imp]
stack:288 [in Imp]
stack:291 [in Imp]
st'':251 [in Imp]
st'':267 [in Imp]
st':239 [in Imp]
st':250 [in Imp]
st':253 [in Imp]
st':258 [in Imp]
st':266 [in Imp]
st1:272 [in Imp]
st2:273 [in Imp]
st:216 [in Imp]
st:220 [in Imp]
st:235 [in Imp]
st:242 [in Imp]
st:243 [in Imp]
st:249 [in Imp]
st:252 [in Imp]
st:257 [in Imp]
st:263 [in Imp]
st:265 [in Imp]
st:271 [in Imp]
st:278 [in Imp]
st:285 [in Imp]
st:289 [in Imp]
st:292 [in Imp]
s1:138 [in IndProp]
s1:144 [in IndProp]
s1:149 [in AltAuto]
s1:153 [in IndProp]
s1:191 [in IndProp]
s1:195 [in IndProp]
s1:200 [in IndProp]
s1:222 [in IndProp]
s1:228 [in IndProp]
s2:140 [in IndProp]
s2:149 [in IndProp]
s2:150 [in AltAuto]
s2:154 [in IndProp]
s2:192 [in IndProp]
s2:196 [in IndProp]
s2:201 [in IndProp]
s2:223 [in IndProp]
s2:229 [in IndProp]
s3:151 [in AltAuto]
s3:230 [in IndProp]
S:121 [in AltAuto]
S:127 [in AltAuto]
s:148 [in AltAuto]
s:163 [in IndProp]
s:166 [in IndProp]
s:168 [in IndProp]
s:174 [in IndProp]
s:180 [in IndProp]
s:189 [in IndProp]
s:227 [in IndProp]
s:25 [in AltAuto]
s:37 [in AltAuto]
s:44 [in AltAuto]
s:47 [in AltAuto]
s:49 [in Lists]
s:52 [in Lists]
s:54 [in Lists]
s:7 [in AltAuto]
s:82 [in Lists]


T

test:107 [in Poly]
test:118 [in Poly]
test:131 [in Tactics]
test:192 [in Logic]
test:196 [in Logic]
tv1:133 [in Imp]
tv2:134 [in Imp]
tv:130 [in Imp]
t1:97 [in ProofObjects]
t2:98 [in ProofObjects]
T:1 [in AltAuto]
T:119 [in Logic]
T:122 [in AltAuto]
T:124 [in Logic]
T:125 [in IndProp]
t:128 [in IndProp]
T:128 [in AltAuto]
T:134 [in IndProp]
T:146 [in AltAuto]
T:158 [in IndProp]
T:162 [in IndProp]
T:165 [in IndProp]
T:167 [in IndProp]
T:17 [in ProofObjects]
T:171 [in IndProp]
T:175 [in IndProp]
T:179 [in IndProp]
T:183 [in IndProp]
T:187 [in IndProp]
T:190 [in IndProp]
T:194 [in IndProp]
T:199 [in IndProp]
T:203 [in IndProp]
T:207 [in IndProp]
T:209 [in IndProp]
T:211 [in IndProp]
T:216 [in IndProp]
T:220 [in IndProp]
T:225 [in IndProp]
T:23 [in AltAuto]
T:35 [in AltAuto]
T:38 [in AltAuto]
T:42 [in AltAuto]
T:45 [in AltAuto]
T:5 [in AltAuto]
t:88 [in AltAuto]
t:9 [in IndPrinciples]


U

U:123 [in AltAuto]
U:129 [in AltAuto]


V

value:123 [in Lists]
vx:83 [in Maps]
v1:31 [in Maps]
v1:38 [in Maps]
v1:62 [in Maps]
v1:72 [in Maps]
v2:32 [in Maps]
v2:39 [in Maps]
v2:63 [in Maps]
v2:73 [in Maps]
v:10 [in Maps]
v:119 [in Lists]
v:130 [in Lists]
v:14 [in Maps]
v:18 [in Maps]
v:22 [in Maps]
v:27 [in Maps]
v:47 [in Maps]
v:48 [in Lists]
v:51 [in Lists]
v:53 [in Lists]
v:53 [in Maps]
v:58 [in Maps]
v:67 [in Maps]
v:78 [in Maps]


X

xo:142 [in Poly]
x':15 [in Maps]
x1:111 [in Lists]
x1:25 [in Maps]
x1:40 [in Maps]
x1:56 [in Maps]
x1:70 [in Maps]
x2:112 [in Lists]
x2:26 [in Maps]
x2:41 [in Maps]
x2:57 [in Maps]
x2:71 [in Maps]
x:1 [in Maps]
X:10 [in Poly]
x:100 [in ProofObjects]
x:100 [in IndProp]
x:101 [in Tactics]
X:102 [in Poly]
X:103 [in ProofObjects]
x:103 [in Tactics]
x:104 [in ProofObjects]
x:104 [in IndProp]
X:105 [in Poly]
X:106 [in Poly]
X:107 [in ProofObjects]
x:108 [in ProofObjects]
x:108 [in Logic]
X:11 [in Poly]
X:110 [in Tactics]
X:111 [in Poly]
x:114 [in Logic]
x:115 [in Lists]
X:115 [in Tactics]
X:117 [in Poly]
X:12 [in Poly]
x:120 [in Basics]
x:120 [in Poly]
X:121 [in Poly]
x:122 [in Lists]
x:124 [in Lists]
x:127 [in Logic]
x:127 [in Poly]
x:129 [in Lists]
X:129 [in Poly]
x:13 [in Poly]
x:13 [in Maps]
X:130 [in Tactics]
x:130 [in Logic]
x:132 [in Lists]
x:132 [in Tactics]
x:133 [in Logic]
X:133 [in Poly]
x:136 [in Logic]
x:137 [in IndProp]
X:139 [in Poly]
x:140 [in Logic]
x:141 [in AltAuto]
x:142 [in AltAuto]
x:143 [in AltAuto]
X:144 [in Poly]
x:150 [in Logic]
x:151 [in Logic]
X:151 [in Poly]
x:152 [in Logic]
x:152 [in Poly]
x:153 [in Logic]
X:154 [in Logic]
X:154 [in Poly]
X:157 [in Poly]
x:158 [in Logic]
x:160 [in Logic]
x:161 [in Logic]
X:17 [in Poly]
X:17 [in IndProp]
x:17 [in Maps]
x:176 [in Logic]
x:18 [in Poly]
x:182 [in IndProp]
X:191 [in Logic]
X:195 [in Logic]
x:196 [in Imp]
x:198 [in Logic]
X:205 [in Logic]
x:207 [in Logic]
x:208 [in Logic]
x:21 [in IndProp]
x:21 [in Maps]
X:22 [in Poly]
x:226 [in Imp]
X:23 [in Poly]
x:23 [in IndProp]
x:234 [in IndProp]
X:24 [in Tactics]
X:24 [in Poly]
x:246 [in Imp]
x:248 [in IndProp]
x:25 [in Poly]
X:26 [in AltAuto]
x:277 [in Imp]
X:29 [in Poly]
X:29 [in AltAuto]
x:30 [in Poly]
x:30 [in Maps]
X:34 [in Poly]
x:35 [in Maps]
x:37 [in Poly]
X:39 [in Poly]
X:44 [in Poly]
x:46 [in Maps]
X:48 [in Poly]
x:49 [in Maps]
X:5 [in Poly]
X:51 [in Tactics]
x:52 [in Tactics]
X:52 [in Poly]
x:52 [in Maps]
X:53 [in Poly]
X:59 [in Poly]
x:6 [in Maps]
X:60 [in Tactics]
x:61 [in Tactics]
x:61 [in Maps]
X:62 [in Poly]
x:65 [in ProofObjects]
X:65 [in Poly]
x:66 [in ProofObjects]
x:66 [in Maps]
X:67 [in Poly]
x:70 [in Tactics]
x:71 [in Poly]
X:73 [in Poly]
x:73 [in AltAuto]
X:77 [in Poly]
x:77 [in Maps]
X:78 [in ProofObjects]
x:8 [in Logic]
x:8 [in Poly]
x:80 [in AltAuto]
x:81 [in ProofObjects]
X:81 [in Poly]
X:82 [in ProofObjects]
x:82 [in Logic]
x:82 [in Maps]
x:83 [in ProofObjects]
X:84 [in ProofObjects]
x:85 [in ProofObjects]
X:86 [in AltAuto]
X:87 [in Logic]
X:88 [in Poly]
x:89 [in Logic]
x:90 [in Logic]
X:91 [in Logic]
X:92 [in Poly]
x:93 [in AltAuto]
X:94 [in ProofObjects]
x:94 [in Logic]
x:95 [in Logic]
x:95 [in Poly]
X:96 [in Tactics]
x:96 [in Logic]
X:96 [in Poly]
x:97 [in AltAuto]
x:98 [in Logic]
X:99 [in ProofObjects]


Y

y:101 [in ProofObjects]
y:105 [in ProofObjects]
y:109 [in ProofObjects]
Y:111 [in Tactics]
y:113 [in Logic]
Y:116 [in Tactics]
Y:122 [in Poly]
Y:130 [in Poly]
y:131 [in Logic]
y:133 [in Lists]
y:134 [in Logic]
Y:134 [in Poly]
y:137 [in Logic]
Y:140 [in Poly]
Y:145 [in Poly]
Y:155 [in Logic]
y:177 [in Logic]
y:22 [in IndProp]
y:24 [in IndProp]
y:53 [in Tactics]
y:62 [in Tactics]
Y:68 [in Poly]
y:7 [in Maps]
y:71 [in Tactics]
y:72 [in Poly]
Y:74 [in Poly]
y:74 [in AltAuto]
Y:78 [in Poly]
y:81 [in AltAuto]
Y:82 [in Poly]
Y:89 [in Poly]
y:9 [in Logic]
y:94 [in AltAuto]
y:98 [in AltAuto]


Z

z:132 [in Logic]
z:135 [in Logic]
z:138 [in Logic]
z:25 [in IndProp]
z:54 [in Tactics]
z:63 [in Tactics]



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]


E

EqualityPlayground [in ProofObjects]
Exercises [in Poly]


I

IffPlayground [in Logic]


L

LePlayground [in IndProp]


N

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


O

OptionPlayground [in Poly]


P

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


T

TuplePlayground [in Basics]



Library Index

A

AltAuto


B

Basics
Bib


I

Imp
IndPrinciples
IndProp
Induction


L

Lists
Logic


M

Maps


P

Poly
Postscript
Preface
ProofObjects


T

Tactics



Lemma Index

A

add_comm3_take3 [in Logic]
add_comm3_take2 [in Logic]
add_comm3 [in Logic]
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_comm'' [in IndPrinciples]
add_comm' [in IndPrinciples]
add_assoc' [in IndPrinciples]
add_le_cases [in IndProp]
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]
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_eq_orb [in AltAuto]
andb3_exchange [in Basics]
and_assoc [in Logic]
and_commut [in Logic]
and_example3 [in Logic]
and_example2'' [in Logic]
and_example2' [in Logic]
and_example2 [in Logic]
and_intro [in Logic]
apply_iff_example2 [in Logic]
apply_iff_example1 [in Logic]
apply_empty [in Maps]
app_length [in Poly]
app_assoc [in Poly]
app_nil_r [in Poly]
app_length' [in AltAuto]
app_length [in AltAuto]


B

bool_fn_applied_thrice [in Tactics]


C

ceval_deterministic [in Imp]
combine_split [in Tactics]
contradiction_implies_anything [in Logic]
contrapositive [in Logic]
contras [in AltAuto]
contras' [in AltAuto]


D

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_plus [in Induction]


E

empty_is_empty [in IndProp]
eqbP [in IndProp]
eqbP_practice [in IndProp]
eqb_id_refl [in Lists]
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_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_S [in Induction]
even_ev [in IndPrinciples]
even_ev [in IndPrinciples]
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_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]
ev100 [in AltAuto]
ev5_nonsense [in IndProp]
excluded_middle_irrefutable [in Logic]
execute_app [in Imp]
Exercises.fold_length_correct [in Poly]
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_re_match [in IndProp]
In10 [in AltAuto]
In10' [in AltAuto]


L

leb_refl [in Induction]
leb_true_trans [in IndProp]
leb_iff [in IndProp]
leb_correct [in IndProp]
leb_complete [in IndProp]
le_plus_trans [in IndProp]
le_plus_l [in IndProp]
le_trans [in IndProp]
le_antisym [in AltAuto]
lia_fail2 [in AltAuto]
lia_fail1 [in AltAuto]
lia_succeed2 [in AltAuto]
lia_succeed1 [in AltAuto]
lt_ge_cases [in IndProp]


M

many_eq' [in AltAuto]
many_eq [in AltAuto]
map_rev [in Poly]
minus_n_n [in Induction]
MStar' [in IndProp]
MStar1 [in IndProp]
mult_n_1 [in Basics]
mult_n_0_m_0 [in Basics]
mult_0_l [in Basics]
mult_is_O [in Logic]
mult_assoc [in Induction]
mult_plus_distr_r [in Induction]
mult_0_plus' [in Induction]
mult_comm [in AltAuto]
mul_eq_0_ternary [in Logic]
mul_eq_0 [in Logic]
mul_comm [in Induction]
mul_0_r [in Induction]
mul_0_r'' [in IndPrinciples]
mul_0_r' [in IndPrinciples]
MUnion' [in IndProp]


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.involution_injective [in Lists]
NatList.nil_app [in Lists]
NatList.nonzeros_app [in Lists]
NatList.option_elim_hd [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]
negb_involutive [in Basics]
nonzeros_app [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]
no_hyp_name [in AltAuto]
nth_error_after_last [in Tactics]
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

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]
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_claim_is_true [in Logic]
plus_2_2_is_4 [in Logic]
plus_n_Sm [in Induction]
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_id_exercise_from_basics [in AltAuto]
proj1 [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]
Pumping.napp_star [in IndProp]
Pumping.napp_plus [in IndProp]
Pumping.pumping_constant_0_false [in IndProp]
Pumping.pumping_constant_ge_1 [in IndProp]
Pumping.weak_pumping [in IndProp]


R

reflect_iff [in IndProp]
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_e_match'' [in AltAuto]
re_opt_e_match' [in AltAuto]
re_opt_e_match [in AltAuto]


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 AltAuto]
silly2 [in Tactics]
silly2 [in AltAuto]
silly2a [in Tactics]
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]
square_mult [in Tactics]
SSSSev__even [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_injective_from_tactics [in AltAuto]


T

trans_eq [in Tactics]
True_is_true [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

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]



Constructor Index

A

aevalR_extended.E_AMult [in Imp]
aevalR_extended.E_AMinus [in Imp]
aevalR_extended.E_APlus [in Imp]
aevalR_extended.E_ANum [in Imp]
aevalR_extended.E_Any [in Imp]
aevalR_extended.AMult [in Imp]
aevalR_extended.AMinus [in Imp]
aevalR_extended.APlus [in Imp]
aevalR_extended.ANum [in Imp]
aevalR_extended.AAny [in Imp]
aevalR_division.E_ADiv [in Imp]
aevalR_division.E_AMult [in Imp]
aevalR_division.E_AMinus [in Imp]
aevalR_division.E_APlus [in Imp]
aevalR_division.E_ANum [in Imp]
aevalR_division.ADiv [in Imp]
aevalR_division.AMult [in Imp]
aevalR_division.AMinus [in Imp]
aevalR_division.APlus [in Imp]
aevalR_division.ANum [in Imp]
AExp.aevalR_first_try.HypothesisNames.E_AMult [in Imp]
AExp.aevalR_first_try.HypothesisNames.E_AMinus [in Imp]
AExp.aevalR_first_try.HypothesisNames.E_APlus [in Imp]
AExp.aevalR_first_try.HypothesisNames.E_ANum [in Imp]
AExp.aevalR_first_try.E_AMult [in Imp]
AExp.aevalR_first_try.E_AMinus [in Imp]
AExp.aevalR_first_try.E_APlus [in Imp]
AExp.aevalR_first_try.E_ANum [in Imp]
AExp.AMinus [in Imp]
AExp.AMult [in Imp]
AExp.ANum [in Imp]
AExp.APlus [in Imp]
AExp.BAnd [in Imp]
AExp.BEAnd [in Imp]
AExp.BEEq [in Imp]
AExp.BEFalse [in Imp]
AExp.BEGt [in Imp]
AExp.BELe [in Imp]
AExp.BENeq [in Imp]
AExp.BENot [in Imp]
AExp.BEq [in Imp]
AExp.BETrue [in Imp]
AExp.BFalse [in Imp]
AExp.BGt [in Imp]
AExp.BLe [in Imp]
AExp.BNeq [in Imp]
AExp.BNot [in Imp]
AExp.BTrue [in Imp]
AExp.E_AMult [in Imp]
AExp.E_AMinus [in Imp]
AExp.E_APlus [in Imp]
AExp.E_ANum [in Imp]
AId [in Imp]
AMinus [in Imp]
AMult [in Imp]
ANum [in Imp]
APlus [in Imp]
App [in IndProp]


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]
BNeq [in Imp]
BNot [in Imp]
bool_cons [in Poly]
bool_nil [in Poly]
BTrue [in Imp]


C

CAsgn [in Imp]
Char [in IndProp]
CIf [in Imp]
cons [in Poly]
cons' [in Poly]
CSeq [in Imp]
CSkip [in Imp]
CWhile [in Imp]


D

day [in IndPrinciples]


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]
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]


I

Id [in Lists]


L

LePlayground.le_S [in IndProp]
LePlayground.le_n [in IndProp]
le1_S [in IndPrinciples]
le1_n [in IndPrinciples]
le2_S [in IndPrinciples]
le2_n [in IndPrinciples]


M

MApp [in IndProp]
MChar [in IndProp]
MEmpty [in IndProp]
monday [in Basics]
MStarApp [in IndProp]
MStar0 [in IndProp]
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]
nnil [in IndPrinciples]
nnil' [in IndPrinciples]
nsnoc [in IndPrinciples]


O

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


P

pair [in Poly]
PartialMap.empty [in Lists]
PartialMap.record [in Lists]
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

red [in Basics]
ReflectF [in IndProp]
ReflectT [in IndProp]


S

saturday [in Basics]
SLoad [in Imp]
SMinus [in Imp]
SMult [in Imp]
SPlus [in Imp]
SPush [in Imp]
Star [in IndProp]
sub_skip [in IndProp]
sub_take [in IndProp]
sub_nil [in IndProp]
sunday [in Basics]


T

term_more [in IndProp]
term_done [in IndProp]
thursday [in Basics]
true [in Basics]
tuesday [in Basics]
TuplePlayground.bits [in Basics]
TuplePlayground.B0 [in Basics]
TuplePlayground.B1 [in Basics]
t_trans [in IndProp]
t_step [in IndProp]


U

Union [in IndProp]


W

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



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]
bin1.bin [in IndProp]
bin2.bin [in IndProp]
bin3.bin [in IndProp]
bool [in Basics]
boollist [in Poly]


C

ceval [in Imp]
clos_trans [in IndProp]
color [in Basics]
com [in Imp]


D

day [in Basics]


E

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


I

id [in Lists]


L

LePlayground.le [in IndProp]
le1 [in IndPrinciples]
le2 [in IndPrinciples]
list [in Poly]
list' [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.nat' [in Basics]


O

OptionPlayground.option [in Poly]


P

PartialMap.partial_map [in Lists]
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

reaches_1 [in IndProp]
reflect [in IndProp]
reg_exp [in IndProp]
rgb [in Basics]


S

sinstr [in Imp]
subseq [in IndProp]


T

time [in IndPrinciples]
TuplePlayground.bit [in Basics]
TuplePlayground.nybble [in Basics]


W

wrong_ev [in IndProp]



Definition Index

A

add1 [in ProofObjects]
admit [in ProofObjects]
aeval [in Imp]
AExp.add_assoc__lia [in Imp]
AExp.add_comm__lia [in Imp]
AExp.aeval [in Imp]
AExp.beval [in Imp]
AExp.optimize_0plus_b [in Imp]
AExp.optimize_0plus [in Imp]
AExp.silly_presburger_example [in Imp]
AExp.test_optimize_0plus [in Imp]
AExp.test_aeval1 [in Imp]
aexp1 [in Imp]
aexp2 [in Imp]
All [in Logic]
andb [in Basics]
andb' [in Basics]
andb3 [in Basics]
and_assoc [in ProofObjects]
and_exercise [in Logic]
and_example' [in Logic]
and_example [in Logic]
app [in Poly]
auto_example_8 [in AltAuto]
auto_example_7' [in AltAuto]
auto_example_7 [in AltAuto]
auto_example_6' [in AltAuto]
auto_example_6 [in AltAuto]
auto_example_5 [in AltAuto]
auto_example_4 [in AltAuto]
auto_example_3 [in AltAuto]
auto_example_2 [in AltAuto]
auto_example_1' [in AltAuto]
auto_example_1 [in AltAuto]


B

b [in Basics]
bar [in Tactics]
beval [in Imp]
bexp1 [in Imp]
build_proof [in IndPrinciples]


C

ceval_example2 [in Imp]
ceval_example1 [in Imp]
ceval_fun_no_while [in Imp]
combine [in Poly]
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

de_morgan_not_or [in ProofObjects]
discriminate_ex3 [in Tactics]
disc_fn [in Logic]
div2 [in IndProp]
doit3times [in Poly]
double [in Induction]
double_neg [in ProofObjects]


E

empty [in Maps]
empty_st [in Imp]
eqb [in Basics]
eqb_id [in Lists]
eqb_list [in Logic]
EqualityPlayground.equality__leibniz_equality_term [in ProofObjects]
EqualityPlayground.eq_cons [in ProofObjects]
EqualityPlayground.eq_add [in ProofObjects]
EqualityPlayground.four' [in ProofObjects]
EqualityPlayground.singleton [in ProofObjects]
even [in Basics]
Even [in Logic]
even_1000'' [in Logic]
even_1000' [in Logic]
even_1000 [in Logic]
even_42_prop [in Logic]
even_42_bool [in Logic]
ev_8_atmpt_5 [in ProofObjects]
ev_8_atmpt_4 [in ProofObjects]
ev_8_atmpt_3 [in ProofObjects]
ev_8_atmpt_2 [in ProofObjects]
ev_8_atmpt_1 [in ProofObjects]
ev_plus2'' [in ProofObjects]
ev_plus2' [in ProofObjects]
ev_plus2 [in ProofObjects]
ev_plus4'' [in ProofObjects]
ev_plus4' [in ProofObjects]
ev_8' [in ProofObjects]
ev_4''' [in ProofObjects]
examplemap [in Maps]
examplemap' [in Maps]
examplepmap [in Maps]
example_bexp [in Imp]
example_aexp [in Imp]
example_empty [in Maps]
excluded_middle [in Logic]
Exercises.fold_length [in Poly]
Exercises.test_fold_length1 [in Poly]
exp [in Basics]


F

f [in IndProp]
factorial [in Basics]
fact_in_coq [in Imp]
filter [in Poly]
filter_even_gt7 [in Poly]
flat_map [in Poly]
fold [in Poly]
fold_example3 [in Poly]
fold_example2 [in Poly]
fold_example1 [in Poly]
foo [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]


I

IffPlayground.iff [in Logic]
In [in Logic]
includedin [in Maps]
injection_ex3 [in Tactics]
injective [in Logic]
In_example_2 [in Logic]
In_example_1 [in Logic]
isred [in Basics]
is_even_prime [in Logic]
is_three [in Logic]
is_fortytwo [in AltAuto]


L

leb [in Basics]
lemma_application_ex [in Logic]
length [in Poly]
length_is_1 [in Poly]
list123 [in Poly]
list123' [in Poly]
list123'' [in Poly]
list123''' [in Poly]
loop [in Imp]
ltb [in Basics]


M

map [in Poly]
minustwo [in Basics]
monochrome [in Basics]
mynil [in Poly]
mynil [in Poly]
mynil' [in Poly]


N

nandb [in Basics]
NatList.add [in Lists]
NatList.alternate [in Lists]
NatList.app [in Lists]
NatList.bag [in Lists]
NatList.count [in Lists]
NatList.countoddmembers [in Lists]
NatList.eqblist [in Lists]
NatList.fst [in Lists]
NatList.fst' [in Lists]
NatList.hd [in Lists]
NatList.hd_error [in Lists]
NatList.length [in Lists]
NatList.member [in Lists]
NatList.mylist [in Lists]
NatList.mylist1 [in Lists]
NatList.mylist2 [in Lists]
NatList.mylist3 [in Lists]
NatList.nonzeros [in Lists]
NatList.nth_error [in Lists]
NatList.nth_bad [in Lists]
NatList.oddmembers [in Lists]
NatList.option_elim [in Lists]
NatList.repeat [in Lists]
NatList.rev [in Lists]
NatList.snd [in Lists]
NatList.snd' [in Lists]
NatList.sum [in Lists]
NatList.swap_pair [in Lists]
NatList.test_hd_error3 [in Lists]
NatList.test_hd_error2 [in Lists]
NatList.test_hd_error1 [in Lists]
NatList.test_nth_error3 [in Lists]
NatList.test_nth_error2 [in Lists]
NatList.test_nth_error1 [in Lists]
NatList.test_eqblist3 [in Lists]
NatList.test_eqblist2 [in Lists]
NatList.test_eqblist1 [in Lists]
NatList.test_rev2 [in Lists]
NatList.test_rev1 [in Lists]
NatList.test_member2 [in Lists]
NatList.test_member1 [in Lists]
NatList.test_add2 [in Lists]
NatList.test_add1 [in Lists]
NatList.test_sum1 [in Lists]
NatList.test_count2 [in Lists]
NatList.test_count1 [in Lists]
NatList.test_alternate4 [in Lists]
NatList.test_alternate3 [in Lists]
NatList.test_alternate2 [in Lists]
NatList.test_alternate1 [in Lists]
NatList.test_countoddmembers3 [in Lists]
NatList.test_countoddmembers2 [in Lists]
NatList.test_countoddmembers1 [in Lists]
NatList.test_oddmembers [in Lists]
NatList.test_nonzeros [in Lists]
NatList.test_tl [in Lists]
NatList.test_hd2 [in Lists]
NatList.test_hd1 [in Lists]
NatList.test_app3 [in Lists]
NatList.test_app2 [in Lists]
NatList.test_app1 [in Lists]
NatList.tl [in Lists]
NatPlayground.pred [in Basics]
NatPlayground2.minus [in Basics]
NatPlayground2.mult [in Basics]
NatPlayground2.plus [in Basics]
NatPlayground2.test_mult1 [in Basics]
nat_ind2 [in IndPrinciples]
nat_ind_tidy [in IndPrinciples]
negb [in Basics]
negb' [in Basics]
next_weekday [in Basics]
nonzeros [in AltAuto]
NotPlayground.not [in Logic]
not_even_1001' [in Logic]
not_even_1001 [in Logic]
nth_error [in Poly]


O

odd [in Basics]
option_map [in Poly]
orb [in Basics]
orb' [in Basics]
or_distributes_over_and [in ProofObjects]


P

PartialMap.find [in Lists]
PartialMap.update [in Lists]
partial_map [in Maps]
partition [in Poly]
Playground.b [in Basics]
plus_claim [in Logic]
plus2 [in Imp]
plus3 [in Poly]
proof_irrelevance [in ProofObjects]
propositional_extensionality [in ProofObjects]
Props.and_comm' [in ProofObjects]
Props.and_comm'_aux [in ProofObjects]
Props.conj_fact [in ProofObjects]
Props.contra [in ProofObjects]
Props.ex_falso_quodlibet' [in ProofObjects]
Props.ex_ev_Sn [in ProofObjects]
Props.false_implies_zero_eq_one [in ProofObjects]
Props.or_commut' [in ProofObjects]
Props.Or.inj_l [in ProofObjects]
Props.Or.or_elim [in ProofObjects]
Props.p_implies_true [in ProofObjects]
Props.some_nat_is_even [in ProofObjects]
Pumping.napp [in IndProp]
Pumping.pumping_constant [in IndProp]
P_m0r' [in IndPrinciples]
P_m0r [in IndPrinciples]


R

reaches_1_in [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]
repeat [in Poly]
repeat' [in Poly]
repeat'' [in Poly]
repeat''' [in Poly]
rev [in Poly]
re_not_empty [in IndProp]
re_chars [in IndProp]
re_opt [in AltAuto]
re_opt_e [in AltAuto]


S

sillyfun [in Tactics]
sillyfun1 [in Tactics]
snd [in Poly]
split [in Tactics]
split [in Poly]
square [in Tactics]
state [in Imp]
subtract_3_from_5_slowly [in Imp]
subtract_slowly [in Imp]
subtract_slowly_body [in Imp]
s_compile1 [in Imp]
s_compile [in Imp]
s_execute2 [in Imp]
s_execute1 [in Imp]
s_execute [in Imp]


T

test_ltb3 [in Basics]
test_ltb2 [in Basics]
test_ltb1 [in Basics]
test_leb3' [in Basics]
test_leb3 [in Basics]
test_leb2 [in Basics]
test_leb1 [in Basics]
test_factorial2 [in Basics]
test_factorial1 [in Basics]
test_odd2 [in Basics]
test_odd1 [in Basics]
test_andb34 [in Basics]
test_andb33 [in Basics]
test_andb32 [in Basics]
test_andb31 [in Basics]
test_nandb4 [in Basics]
test_nandb3 [in Basics]
test_nandb2 [in Basics]
test_nandb1 [in Basics]
test_orb5 [in Basics]
test_orb4 [in Basics]
test_orb3 [in Basics]
test_orb2 [in Basics]
test_orb1 [in Basics]
test_next_weekday [in Basics]
test_plus3'' [in Poly]
test_plus3' [in Poly]
test_plus3 [in Poly]
test_flat_map1 [in Poly]
test_map3 [in Poly]
test_map2 [in Poly]
test_map1 [in Poly]
test_partition2 [in Poly]
test_partition1 [in Poly]
test_filter_even_gt7_2 [in Poly]
test_filter_even_gt7_1 [in Poly]
test_filter2' [in Poly]
test_anon_fun' [in Poly]
test_countoddmembers'3 [in Poly]
test_countoddmembers'2 [in Poly]
test_countoddmembers'1 [in Poly]
test_filter2 [in Poly]
test_filter1 [in Poly]
test_doit3times' [in Poly]
test_doit3times [in Poly]
test_nth_error3 [in Poly]
test_nth_error2 [in Poly]
test_nth_error1 [in Poly]
test_split [in Poly]
test_length1 [in Poly]
test_rev2 [in Poly]
test_rev1 [in Poly]
test_repeat2 [in Poly]
test_repeat1 [in Poly]
total_map [in Maps]
trans_eq_exercise [in Tactics]
trans_eq_example'' [in Tactics]
trans_eq_example' [in Tactics]
trans_eq_example [in Tactics]
trans_example2 [in AltAuto]
trans_example1' [in AltAuto]
trans_example1 [in AltAuto]
TuplePlayground.all_zero [in Basics]
t_update [in Maps]
t_empty [in Maps]


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 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 _ other (2579 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (61 entries)
Binder 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 _ other (1543 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 _ other (25 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 _ other (15 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 _ other (340 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 _ other (179 entries)
Axiom Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (2 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 _ other (58 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 _ other (356 entries)

This page has been generated by coqdoc