Volume 1: Logical Foundations

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 | (3969 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 | (84 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 | (2400 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 | (33 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 | (20 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 | (498 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 | (255 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 | (97 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 | (580 entries)

# Global Index

## A

acc:17 [binder, in ImpParser]
acc:36 [binder, in ImpParser]
add_comm3_take3 [lemma, in Logic]
add_comm3_take2 [lemma, in Logic]
add_comm3 [lemma, in Logic]
add_shuffle3' [lemma, in Induction]
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''' [lemma, in AltAuto]
add_assoc'' [lemma, in AltAuto]
add_assoc_from_induction [lemma, in AltAuto]
add_assoc' [lemma, in AltAuto]
add_assoc [lemma, in AltAuto]
add1 [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.BEq [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.manual_grade_for_beval_rules [definition, 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]
all3_spec [lemma, in Induction]
alpha [constructor, in ImpParser]
AltAuto [library]
AltSolution [module, in Lists]
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_false_r [lemma, in Induction]
andb_true_elim2' [lemma, in AltAuto]
andb_true_elim2 [lemma, in AltAuto]
andb_commutative' [lemma, in AltAuto]
andb_commutative [lemma, in AltAuto]
andb_eq_orb [lemma, in AltAuto]
andb' [definition, in Basics]
andb3 [definition, in Basics]
andb3_exchange [lemma, in Basics]
andb3_exchange' [lemma, in AltAuto]
andb3_exchange [lemma, in AltAuto]
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]
antisymmetric [definition, in Rel]
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_ne [lemma, in IndProp]
app_exists [lemma, in IndProp]
app_nil_r'' [lemma, in AltAuto]
app_nil_r' [lemma, in AltAuto]
app_nil_r [lemma, in AltAuto]
app_length' [lemma, in AltAuto]
app_length [lemma, in AltAuto]
Auto [library]
auto_example_7' [definition, in Auto]
auto_example_7 [definition, in Auto]
auto_example_6' [definition, in Auto]
auto_example_6 [definition, in Auto]
auto_example_5' [definition, in Auto]
auto_example_5 [definition, in Auto]
auto_example_4 [definition, in Auto]
auto_example_3 [definition, in Auto]
auto_example_2 [definition, in Auto]
auto_example_1' [definition, in Auto]
auto_example_1 [definition, in Auto]
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]
a1:118 [binder, in Imp]
a1:12 [binder, in Imp]
a1:120 [binder, in Imp]
a1:122 [binder, in Imp]
a1:124 [binder, in Imp]
a1:129 [binder, in Imp]
a1:133 [binder, in Imp]
a1:137 [binder, in Imp]
a1:14 [binder, in Imp]
a1:141 [binder, in Imp]
a1:149 [binder, in Imp]
a1:151 [binder, in Imp]
a1:153 [binder, in Imp]
a1:159 [binder, in Imp]
a1:16 [binder, in Imp]
a1:163 [binder, in Imp]
a1:167 [binder, in Imp]
a1:175 [binder, in Imp]
a1:177 [binder, in Imp]
a1:179 [binder, in Imp]
a1:18 [binder, in Imp]
a1:183 [binder, in Imp]
a1:185 [binder, in Imp]
a1:187 [binder, in Imp]
a1:189 [binder, in Imp]
a1:211 [binder, in Logic]
a1:4 [binder, in Imp]
a1:6 [binder, in Imp]
a1:8 [binder, in Imp]
a1:83 [binder, in Auto]
a2:119 [binder, in Imp]
a2:121 [binder, in Imp]
a2:123 [binder, in Imp]
a2:125 [binder, in Imp]
a2:13 [binder, in Imp]
a2:130 [binder, in Imp]
a2:134 [binder, in Imp]
a2:138 [binder, in Imp]
a2:142 [binder, in Imp]
a2:15 [binder, in Imp]
a2:150 [binder, in Imp]
a2:152 [binder, in Imp]
a2:154 [binder, in Imp]
a2:160 [binder, in Imp]
a2:164 [binder, in Imp]
a2:168 [binder, in Imp]
a2:17 [binder, in Imp]
a2:176 [binder, in Imp]
a2:178 [binder, in Imp]
a2:180 [binder, in Imp]
a2:184 [binder, in Imp]
a2:186 [binder, in Imp]
a2:188 [binder, in Imp]
a2:19 [binder, in Imp]
a2:190 [binder, in Imp]
a2:212 [binder, in Logic]
a2:5 [binder, in Imp]
a2:7 [binder, in Imp]
a2:9 [binder, in Imp]
A:10 [binder, in Logic]
a:103 [binder, in IndProp]
A:105 [binder, in Logic]
a:107 [binder, in Imp]
a:109 [binder, in Imp]
A:11 [binder, in Logic]
A:11 [binder, in Maps]
A:112 [binder, in Logic]
A:114 [binder, in ProofObjects]
A:117 [binder, in Logic]
A:123 [binder, in Logic]
a:126 [binder, in Logic]
A:157 [binder, in Logic]
a:16 [binder, in Rel]
A:16 [binder, in Maps]
a:163 [binder, in AltAuto]
a:167 [binder, in AltAuto]
a:171 [binder, in AltAuto]
a:18 [binder, in Tactics]
a:19 [binder, in Rel]
A:19 [binder, in Maps]
a:195 [binder, in Imp]
A:204 [binder, in Logic]
a:205 [binder, in Imp]
A:209 [binder, in Logic]
a:222 [binder, in Imp]
a:23 [binder, in Imp]
A:23 [binder, in Maps]
a:28 [binder, in Tactics]
A:28 [binder, in Maps]
a:285 [binder, in Imp]
a:29 [binder, in Rel]
a:29 [binder, in Imp]
a:29 [binder, in IndProp]
a:32 [binder, in Imp]
a:32 [binder, in IndProp]
a:33 [binder, in Rel]
A:33 [binder, in Maps]
a:34 [binder, in Tactics]
A:34 [binder, in Logic]
a:354 [binder, in IndProp]
a:356 [binder, in IndProp]
a:359 [binder, in IndProp]
A:36 [binder, in Maps]
a:366 [binder, in IndProp]
a:37 [binder, in Imp]
a:375 [binder, in IndProp]
a:38 [binder, in Imp]
a:385 [binder, in IndProp]
a:389 [binder, in IndProp]
a:391 [binder, in IndProp]
A:42 [binder, in Maps]
A:43 [binder, in Maps]
A:44 [binder, in Rel]
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:59 [binder, in Rel]
A:59 [binder, in Maps]
A:60 [binder, in ProofObjects]
A:64 [binder, in Poly]
A:64 [binder, in Maps]
A:68 [binder, in AltAuto]
A:68 [binder, in Maps]
a:69 [binder, in Auto]
A:71 [binder, in Tactics]
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]

## B

BAnd [constructor, in Imp]
bar [definition, in Tactics]
base_case [definition, in IndPrinciples]
base:71 [binder, in Basics]
Basics [library]
baz [inductive, in Lists]
Baz1 [constructor, in Lists]
Baz2 [constructor, in Lists]
BEq [constructor, in Imp]
better_t_tree_ind [definition, in IndPrinciples]
better_t_tree_ind_type [definition, in IndPrinciples]
beval [definition, in Imp]
bexp [inductive, in Imp]
bexp1 [definition, in Imp]
BFalse [constructor, in Imp]
BGt [constructor, in Imp]
Bib [library]
bignumber [definition, in ImpParser]
bin [inductive, in Basics]
bin [inductive, in Induction]
bin_to_nat [definition, in Basics]
bin_nat_bin [lemma, in Induction]
bin_nat_bin_fails [lemma, in Induction]
bin_nat_bin_fails [lemma, in Induction]
bin_to_nat_pres_incr [lemma, in Induction]
bin_to_nat [definition, in Induction]
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]
blue [constructor, in IndPrinciples]
BNeq [constructor, in Imp]
BNot [constructor, in Imp]
bool [inductive, in Basics]
boollist [inductive, in Poly]
booltree [inductive, in IndPrinciples]
booltree_ind_type_correct [lemma, in IndPrinciples]
booltree_ind_type [definition, in IndPrinciples]
booltree_property_type [definition, in IndPrinciples]
bool_fn_applied_thrice [lemma, in Tactics]
bool_cons [constructor, in Poly]
bool_nil [constructor, in Poly]
branch_case [definition, in IndPrinciples]
BreakImp [module, in Imp]
BreakImp.break_ignore [lemma, in Imp]
BreakImp.CAsgn [constructor, in Imp]
BreakImp.CBreak [constructor, in Imp]
BreakImp.ceval [inductive, in Imp]
BreakImp.ceval_deterministic [lemma, in Imp]
BreakImp.CIf [constructor, in Imp]
BreakImp.com [inductive, in Imp]
BreakImp.CSeq [constructor, in Imp]
BreakImp.CSkip [constructor, in Imp]
BreakImp.CWhile [constructor, in Imp]
BreakImp.E_Skip [constructor, in Imp]
BreakImp.result [inductive, in Imp]
BreakImp.SBreak [constructor, in Imp]
BreakImp.SContinue [constructor, in Imp]
BreakImp.seq_stops_on_break [lemma, in Imp]
BreakImp.seq_continue [lemma, in Imp]
BreakImp.while_break_true [lemma, in Imp]
BreakImp.while_stops_on_break [lemma, in Imp]
BreakImp.while_continue [lemma, in Imp]
com:while _ do _ end (com_scope) [notation, in Imp]
com:if _ then _ else _ end (com_scope) [notation, in Imp]
com:_ ; _ (com_scope) [notation, in Imp]
com:_ := _ (com_scope) [notation, in Imp]
com:skip (com_scope) [notation, in Imp]
com:break [notation, in Imp]
_ =[ _ ]=> _ / _ [notation, in Imp]
BTrue [constructor, in Imp]
bt_branch [constructor, in IndPrinciples]
bt_leaf [constructor, in IndPrinciples]
bt_empty [constructor, in IndPrinciples]
build_proof [definition, in IndPrinciples]
bv:114 [binder, in Imp]
B0 [constructor, in Basics]
B0 [constructor, in Induction]
b0:38 [binder, in Basics]
B1 [constructor, in Basics]
B1 [constructor, in Induction]
b1:12 [binder, in Basics]
b1:16 [binder, in Basics]
b1:18 [binder, in Basics]
b1:192 [binder, in Imp]
b1:198 [binder, in Logic]
b1:20 [binder, in Basics]
b1:200 [binder, in Logic]
b1:21 [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]
b2:17 [binder, in Basics]
b2:19 [binder, in Basics]
b2:193 [binder, in Imp]
b2:199 [binder, in Logic]
b2:201 [binder, in Logic]
b2:21 [binder, in Basics]
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:101 [binder, in Auto]
b:104 [binder, in IndProp]
b:105 [binder, in Basics]
b:106 [binder, in Basics]
b:107 [binder, in Auto]
b:108 [binder, in Basics]
b:110 [binder, in Basics]
b:111 [binder, in Auto]
b:113 [binder, in Imp]
b:113 [binder, in Basics]
B:113 [binder, in Logic]
b:116 [binder, in Auto]
b:116 [binder, in Basics]
B:118 [binder, in Logic]
B:12 [binder, in Logic]
b:125 [binder, in Basics]
b:126 [binder, in Basics]
b:128 [binder, in Tactics]
b:13 [binder, in AltAuto]
b:15 [binder, in Basics]
b:151 [binder, in Lists]
b:160 [binder, in Poly]
b:164 [binder, in AltAuto]
b:168 [binder, in AltAuto]
b:172 [binder, in AltAuto]
b:177 [binder, in AltAuto]
b:178 [binder, in AltAuto]
b:181 [binder, in AltAuto]
b:182 [binder, in AltAuto]
b:184 [binder, in AltAuto]
b:187 [binder, in AltAuto]
b:189 [binder, in AltAuto]
b:19 [binder, in Tactics]
b:191 [binder, in Imp]
b:191 [binder, in AltAuto]
b:199 [binder, in Imp]
b:20 [binder, in Rel]
b:20 [binder, in Imp]
b:208 [binder, in Imp]
b:211 [binder, in Imp]
b:225 [binder, in Logic]
b:232 [binder, in Imp]
b:237 [binder, in Imp]
b:240 [binder, in Imp]
b:246 [binder, in Imp]
b:26 [binder, in Imp]
b:288 [binder, in Imp]
b:29 [binder, in Tactics]
b:291 [binder, in Imp]
b:3 [binder, in Poly]
b:30 [binder, in Rel]
b:30 [binder, in IndPrinciples]
b:30 [binder, in IndProp]
b:302 [binder, in Imp]
b:302 [binder, in IndProp]
b:304 [binder, in IndProp]
b:307 [binder, in Imp]
b:31 [binder, in IndPrinciples]
b:320 [binder, in Imp]
b:33 [binder, in IndProp]
b:34 [binder, in Rel]
b:35 [binder, in Tactics]
B:35 [binder, in Logic]
b:357 [binder, in IndProp]
b:38 [binder, in IndPrinciples]
b:41 [binder, in Imp]
b:43 [binder, in Imp]
b:44 [binder, in IndPrinciples]
b:45 [binder, in Imp]
b:45 [binder, in Induction]
b:48 [binder, in Induction]
b:53 [binder, in Logic]
b:54 [binder, in Logic]
B:6 [binder, in Logic]
b:62 [binder, in Logic]
b:67 [binder, in Induction]
B:69 [binder, in AltAuto]
b:7 [binder, in Basics]
b:71 [binder, in Induction]
B:72 [binder, in Tactics]
b:72 [binder, in Auto]
b:73 [binder, in Induction]
b:74 [binder, in Induction]
b:75 [binder, in Auto]
b:75 [binder, in Induction]
b:76 [binder, in Induction]
B:76 [binder, in AltAuto]
b:78 [binder, in Auto]
b:78 [binder, in Induction]
b:82 [binder, in Tactics]
b:93 [binder, in Auto]
b:98 [binder, in Auto]

## C

c [definition, in IndProp]
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]
ceval_example1 [definition, in Auto]
ceval_deterministic'''' [lemma, in Auto]
ceval_deterministic''' [lemma, in Auto]
ceval_deterministic'' [lemma, in Auto]
ceval_deterministic'_alt [lemma, in Auto]
ceval_deterministic' [lemma, in Auto]
ceval_deterministic [lemma, in Auto]
ceval_deterministic' [lemma, in ImpCEvalFun]
ceval_and_ceval_step_coincide [lemma, in ImpCEvalFun]
ceval__ceval_step [lemma, in ImpCEvalFun]
ceval_step_more [lemma, in ImpCEvalFun]
ceval_step__ceval [lemma, in ImpCEvalFun]
ceval_step [definition, in ImpCEvalFun]
ceval_step3 [definition, in ImpCEvalFun]
ceval_step2 [definition, in ImpCEvalFun]
ceval_step1 [definition, in ImpCEvalFun]
ceval'_example1 [definition, in Auto]
Char [constructor, in IndProp]
chartype [inductive, in ImpParser]
char_eps_suffix [lemma, in IndProp]
char_nomatch_char [lemma, in IndProp]
CIf [constructor, in Imp]
classifyChar [definition, in ImpParser]
clos_refl_trans_1n [inductive, in Rel]
clos_refl_trans [inductive, in Rel]
clos_trans [inductive, in IndProp]
cls:16 [binder, in ImpParser]
collatz [axiom, in IndProp]
color [inductive, in Basics]
com [inductive, in Imp]
combine [definition, in Poly]
combine_split [lemma, in Tactics]
combine_odd_even_elim_even [lemma, in Logic]
combine_odd_even_elim_odd [lemma, in Logic]
combine_odd_even_intro [lemma, in Logic]
combine_odd_even [definition, in Logic]
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:74 [binder, in ProofObjects]
count [definition, in IndProp]
countoddmembers' [definition, in Poly]
count:14 [binder, in Poly]
count:26 [binder, in Lists]
count:28 [binder, in Poly]
count:35 [binder, in Poly]
count:40 [binder, in Poly]
CSeq [constructor, in Imp]
CSkip [constructor, in Imp]
curry [definition, in ProofObjects]
CWhile [constructor, in Imp]
c':174 [binder, in ImpParser]
c':186 [binder, in ImpParser]
C1 [constructor, in IndPrinciples]
c1:206 [binder, in Imp]
c1:209 [binder, in Imp]
c1:225 [binder, in Imp]
c1:233 [binder, in Imp]
c1:238 [binder, in Imp]
c1:286 [binder, in Imp]
c1:289 [binder, in Imp]
c1:311 [binder, in Imp]
c1:316 [binder, in Imp]
c1:70 [binder, in Auto]
c1:73 [binder, in Auto]
c1:86 [binder, in Auto]
c1:94 [binder, in Auto]
c1:99 [binder, in Auto]
C2 [constructor, in IndPrinciples]
c2:100 [binder, in Auto]
c2:207 [binder, in Imp]
c2:210 [binder, in Imp]
c2:226 [binder, in Imp]
c2:234 [binder, in Imp]
c2:239 [binder, in Imp]
c2:287 [binder, in Imp]
c2:290 [binder, in Imp]
c2:312 [binder, in Imp]
c2:317 [binder, in Imp]
c2:71 [binder, in Auto]
c2:74 [binder, in Auto]
c2:87 [binder, in Auto]
c2:95 [binder, in Auto]
c:1 [binder, in Auto]
c:1 [binder, in ImpParser]
c:103 [binder, in Auto]
c:107 [binder, in Basics]
c:108 [binder, in Auto]
c:109 [binder, in Basics]
c:11 [binder, in ImpParser]
c:111 [binder, in Basics]
c:112 [binder, in Auto]
c:114 [binder, in Basics]
c:117 [binder, in Auto]
c:117 [binder, in Basics]
c:118 [binder, in Auto]
c:122 [binder, in Auto]
c:127 [binder, in Basics]
c:14 [binder, in AltAuto]
c:15 [binder, in ImpCEvalFun]
c:162 [binder, in ImpParser]
c:165 [binder, in AltAuto]
c:169 [binder, in AltAuto]
c:171 [binder, in ImpParser]
c:173 [binder, in AltAuto]
c:179 [binder, in AltAuto]
c:183 [binder, in ImpParser]
c:183 [binder, in AltAuto]
c:185 [binder, in AltAuto]
c:188 [binder, in AltAuto]
c:190 [binder, in AltAuto]
c:192 [binder, in AltAuto]
c:2 [binder, in ImpCEvalFun]
c:20 [binder, in Tactics]
c:21 [binder, in Rel]
c:21 [binder, in ImpCEvalFun]
c:212 [binder, in Imp]
c:214 [binder, in Imp]
c:242 [binder, in Imp]
c:247 [binder, in Imp]
c:248 [binder, in Imp]
c:257 [binder, in Imp]
c:262 [binder, in Imp]
c:29 [binder, in ImpCEvalFun]
c:292 [binder, in Imp]
c:298 [binder, in Imp]
c:3 [binder, in ImpParser]
c:30 [binder, in Tactics]
c:30 [binder, in Basics]
c:30 [binder, in ImpCEvalFun]
c:303 [binder, in Imp]
c:308 [binder, in Imp]
c:31 [binder, in IndProp]
c:32 [binder, in Basics]
c:321 [binder, in Imp]
c:325 [binder, in Imp]
c:34 [binder, in IndProp]
c:36 [binder, in Tactics]
c:38 [binder, in ImpCEvalFun]
c:39 [binder, in ImpCEvalFun]
c:43 [binder, in ImpCEvalFun]
c:44 [binder, in Auto]
c:46 [binder, in Imp]
c:47 [binder, in ImpCEvalFun]
c:48 [binder, in Auto]
c:49 [binder, in Induction]
c:5 [binder, in ImpParser]
c:52 [binder, in Auto]
c:56 [binder, in Auto]
c:62 [binder, in Auto]
c:7 [binder, in ImpParser]
c:7 [binder, in ImpCEvalFun]
C:70 [binder, in AltAuto]
c:76 [binder, in Auto]
c:77 [binder, in Auto]
C:77 [binder, in AltAuto]

## D

d [definition, in IndProp]
day [inductive, in Basics]
day [constructor, in IndPrinciples]
default:119 [binder, in Lists]
default:36 [binder, in Lists]
derive [definition, in IndProp]
derives [definition, in IndProp]
derive_corr [lemma, in IndProp]
de_morgan_not_or [definition, in ProofObjects]
de_morgan_not_and_not [definition, in Logic]
de_morgan_not_or [lemma, in Logic]
digit [constructor, in ImpParser]
discriminate_ex3 [definition, in Tactics]
discriminate_ex2 [lemma, in Tactics]
discriminate_ex1 [lemma, in Tactics]
disc_example [lemma, in Logic]
disc_fn [definition, in Logic]
dist_exists_or [lemma, in Logic]
dist_not_exists [lemma, in Logic]
div2 [definition, in IndProp]
doit3times [definition, in Poly]
double [definition, in Induction]
double_neg [definition, in ProofObjects]
double_injective_take2 [lemma, in Tactics]
double_injective_take2_FAILED [lemma, in Tactics]
double_injective [lemma, in Tactics]
double_injective_FAILED [lemma, in Tactics]
double_negation_elimination [definition, in Logic]
double_neg [lemma, in Logic]
double_incr_bin [lemma, in Induction]
double_bin_zero [definition, in Induction]
double_bin [definition, in Induction]
double_incr [lemma, in Induction]
double_plus [lemma, in Induction]
dup_first_two_elts [definition, in AltAuto]
d:112 [binder, in Basics]
d:114 [binder, in Lists]
d:133 [binder, in Lists]
d:137 [binder, in Lists]
d:140 [binder, in Lists]
d:143 [binder, in Lists]
d:166 [binder, in AltAuto]
d:170 [binder, in AltAuto]
d:174 [binder, in AltAuto]
d:186 [binder, in AltAuto]
d:193 [binder, in AltAuto]
d:21 [binder, in Tactics]
d:3 [binder, in Basics]
d:31 [binder, in Tactics]
d:37 [binder, in Tactics]
d:388 [binder, in IndProp]
d:56 [binder, in ImpParser]

## E

eauto_example [definition, in Auto]
eg1 [definition, in ImpParser]
eg2 [definition, in ImpParser]
empty [definition, in Maps]
EmptySet [constructor, in IndProp]
EmptyStr [constructor, in IndProp]
empty_relation_partial_function [lemma, in Rel]
empty_relation [inductive, in Rel]
empty_st [definition, in Imp]
empty_nomatch_ne [lemma, in IndProp]
empty_matches_eps [lemma, in IndProp]
empty_is_empty [lemma, in IndProp]
empty_relation_is_empty [lemma, in IndProp]
empty_relation [inductive, 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:205 [binder, in Logic]
eqb:210 [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]
equivalence [definition, in Rel]
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]
es:139 [binder, in ImpParser]
es:84 [binder, in ImpParser]
es:98 [binder, in ImpParser]
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:103 [binder, in IndPrinciples]
evPS:105 [binder, in IndPrinciples]
evSS_ev' [lemma, in IndProp]
evSS_ev [lemma, in IndProp]
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_plus_plus [lemma, in IndProp]
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' [inductive, in IndProp]
ev'_sum [constructor, in IndPrinciples]
ev'_2 [constructor, in IndPrinciples]
ev'_0 [constructor, in IndPrinciples]
ev'_ev [lemma, in IndProp]
ev'_sum [constructor, in IndProp]
ev'_2 [constructor, in IndProp]
ev'_0 [constructor, in IndProp]
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_test_ceval [definition, in ImpCEvalFun]
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.Church [module, in Poly]
Exercises.Church.cnat [definition, in Poly]
Exercises.Church.exp [definition, in Poly]
Exercises.Church.exp_3 [definition, in Poly]
Exercises.Church.exp_2 [definition, in Poly]
Exercises.Church.exp_1 [definition, in Poly]
Exercises.Church.mult [definition, in Poly]
Exercises.Church.mult_3 [definition, in Poly]
Exercises.Church.mult_2 [definition, in Poly]
Exercises.Church.mult_1 [definition, in Poly]
Exercises.Church.one [definition, in Poly]
Exercises.Church.one_church_peano [definition, in Poly]
Exercises.Church.one' [definition, in Poly]
Exercises.Church.plus [definition, in Poly]
Exercises.Church.plus_3 [definition, in Poly]
Exercises.Church.plus_2 [definition, in Poly]
Exercises.Church.plus_1 [definition, in Poly]
Exercises.Church.scc [definition, in Poly]
Exercises.Church.scc_3 [definition, in Poly]
Exercises.Church.scc_2 [definition, in Poly]
Exercises.Church.scc_1 [definition, in Poly]
Exercises.Church.three [definition, in Poly]
Exercises.Church.two [definition, in Poly]
Exercises.Church.two_church_peano [definition, in Poly]
Exercises.Church.two' [definition, in Poly]
Exercises.Church.zero [definition, in Poly]
Exercises.Church.zero_church_peano [definition, in Poly]
Exercises.Church.zero' [definition, in Poly]
Exercises.curry_uncurry [lemma, in Poly]
Exercises.fold_map [definition, in Poly]
Exercises.fold_length_correct [lemma, in Poly]
Exercises.fold_length [definition, in Poly]
Exercises.manual_grade_for_informal_proof [definition, in Poly]
Exercises.manual_grade_for_fold_map [definition, in Poly]
Exercises.prod_uncurry [definition, in Poly]
Exercises.prod_curry [definition, in Poly]
Exercises.test_map1' [definition, in Poly]
Exercises.test_fold_length1 [definition, in Poly]
Exercises.uncurry_curry [lemma, in Poly]
existsb [definition, in Tactics]
existsb_existsb' [lemma, in Tactics]
existsb' [definition, in Tactics]
exists_example_2 [lemma, in Logic]
exp [definition, in Basics]
expect [definition, in ImpParser]
exp_match [inductive, in IndProp]
Extraction [library]
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]
e':114 [binder, in ImpParser]
e':117 [binder, in ImpParser]
e0:100 [binder, in ImpParser]
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:111 [binder, in ImpParser]
e:120 [binder, in ImpParser]
e:126 [binder, in ImpParser]
e:136 [binder, in ImpParser]
E:14 [binder, in ProofObjects]
e:156 [binder, in ImpParser]
e:159 [binder, in ImpParser]
e:168 [binder, in ImpParser]
e:22 [binder, in Tactics]
e:271 [binder, in Imp]
e:278 [binder, in Imp]
e:281 [binder, in Imp]
e:32 [binder, in Tactics]
e:38 [binder, in Tactics]
e:68 [binder, in ImpParser]
e:81 [binder, in ImpParser]
e:88 [binder, in ImpParser]
e:92 [binder, in ImpParser]
e:95 [binder, in ImpParser]

## F

f [definition, in IndProp]
factorial [definition, in Basics]
factor_is_O [lemma, in Logic]
fact_in_coq [definition, in Imp]
false [constructor, in Basics]
false_assumed' [lemma, in AltAuto]
false_assumed [lemma, in AltAuto]
falso [definition, in ProofObjects]
filter [definition, in Poly]
filter_exercise [lemma, in Tactics]
filter_even_gt7 [definition, in Poly]
filter_not_empty_In' [lemma, in IndProp]
filter_not_empty_In [lemma, in IndProp]
firstExpect [definition, in ImpParser]
flat_map [definition, in Poly]
fold [definition, in Poly]
fold_example3 [definition, in Poly]
fold_example2 [definition, in Poly]
fold_example1 [definition, in Poly]
foo [definition, in Tactics]
foo' [inductive, in IndPrinciples]
foo:49 [binder, in Basics]
forallb [definition, in Tactics]
forallb [definition, in Logic]
forallb_true_iff [lemma, in Logic]
four_is_Even [lemma, in Logic]
friday [constructor, in Basics]
fst [definition, in Poly]
ftrue [definition, in Poly]
functional_extensionality [axiom, in Logic]
function_equality_ex2 [definition, in Logic]
function_equality_ex2 [definition, in Logic]
function_equality_ex1 [definition, in Logic]
f_equal [lemma, in Tactics]
f:114 [binder, in Logic]
f:115 [binder, in Poly]
f:119 [binder, in Logic]
f:123 [binder, in Basics]
f:127 [binder, in Tactics]
f:135 [binder, in Poly]
f:143 [binder, in Poly]
f:147 [binder, in Poly]
f:153 [binder, in Poly]
f:158 [binder, in Poly]
f:173 [binder, in Poly]
f:174 [binder, in Logic]
f:178 [binder, in Poly]
f:184 [binder, in Poly]
f:189 [binder, in Poly]
f:195 [binder, in Poly]
f:199 [binder, in Poly]
f:202 [binder, in Poly]
f:205 [binder, in Poly]
f:23 [binder, in Tactics]
f:33 [binder, in Tactics]
f:39 [binder, in Tactics]
f:41 [binder, in IndPrinciples]
f:58 [binder, in IndPrinciples]
f:7 [binder, in Logic]
f:71 [binder, in AltAuto]
f:73 [binder, in Tactics]
f:78 [binder, in AltAuto]
f:95 [binder, in Lists]

## G

green [constructor, in Basics]
green [constructor, in IndPrinciples]
g1:147 [binder, in Basics]
g2:148 [binder, in Basics]
g:153 [binder, in Basics]
g:154 [binder, in Basics]
g:156 [binder, in Basics]
g:158 [binder, in Basics]
g:160 [binder, in Basics]
g:162 [binder, in Basics]
g:175 [binder, in Logic]
g:42 [binder, in IndPrinciples]
g:72 [binder, in AltAuto]
g:79 [binder, in AltAuto]

## H

hd_error [definition, in Poly]
Heq:89 [binder, in ProofObjects]
Hm:70 [binder, in IndProp]
Hm:77 [binder, in IndPrinciples]
Hn:69 [binder, in IndProp]
Hn:76 [binder, in IndPrinciples]
HPQ:51 [binder, in ProofObjects]
HPR:52 [binder, in ProofObjects]
HP:42 [binder, in ProofObjects]
HQR:53 [binder, in ProofObjects]
Hrest:67 [binder, in Rel]
Hxy:55 [binder, in Rel]
Hxy:66 [binder, in Rel]
hyp_name [lemma, in AltAuto]
Hyz:56 [binder, in Rel]
H1:192 [binder, in IndProp]
H1:197 [binder, in IndProp]
H1:206 [binder, in IndProp]
H1:78 [binder, in Imp]
H1:84 [binder, in Imp]
H1:90 [binder, in Imp]
h1:94 [binder, in ProofObjects]
H2:193 [binder, in IndProp]
H2:201 [binder, in IndProp]
H2:207 [binder, in IndProp]
H2:79 [binder, in Imp]
H2:85 [binder, in Imp]
H2:91 [binder, in Imp]
h2:95 [binder, in ProofObjects]
H:11 [binder, in ProofObjects]
H:140 [binder, in IndProp]
H:144 [binder, in IndProp]
H:148 [binder, in IndProp]
H:152 [binder, in IndProp]
H:27 [binder, in ProofObjects]
H:299 [binder, in IndProp]
H:300 [binder, in IndProp]
H:4 [binder, in ProofObjects]
H:41 [binder, in IndProp]
H:50 [binder, in Rel]
H:82 [binder, in IndProp]
h:87 [binder, in AltAuto]
H:88 [binder, in IndPrinciples]
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]
ImpCEvalFun [library]
implies_to_or [definition, in Logic]
ImpParser [library]
imp1 [definition, in AltAuto]
imp2 [definition, in AltAuto]
imp3 [definition, in AltAuto]
In [definition, in Logic]
includedin [definition, in Maps]
includedin_update [lemma, in Maps]
incr [definition, in Basics]
incr [definition, in Induction]
IndPrinciples [library]
IndProp [library]
Induction [library]
infinite_loop [definition, in ProofObjects]
injection_ex3 [definition, in Tactics]
injection_ex1 [lemma, in Tactics]
injective [definition, in Logic]
intuition_simplify2' [lemma, in AltAuto]
intuition_simplify2 [lemma, in AltAuto]
intuition_simplify1 [lemma, in AltAuto]
intuition_succeed2 [lemma, in AltAuto]
intuition_succeed1 [lemma, in AltAuto]
inversion_ex2 [lemma, in IndProp]
inversion_ex1 [lemma, in IndProp]
in_not_nil_42_take5 [lemma, in Logic]
in_not_nil_42_take4 [lemma, in Logic]
in_not_nil_42_take3 [lemma, in Logic]
in_not_nil_42_take2 [lemma, in Logic]
in_not_nil_42 [lemma, in Logic]
in_not_nil [lemma, in Logic]
In_app_iff [lemma, in Logic]
In_map_iff [lemma, in Logic]
In_map [lemma, in Logic]
In_example_2 [definition, in Logic]
In_example_1 [definition, in Logic]
in_split [lemma, in IndProp]
in_re_match [lemma, in IndProp]
In10 [lemma, in AltAuto]
In10' [lemma, in AltAuto]
isAlpha [definition, in ImpParser]
isDigit [definition, in ImpParser]
isLowerAlpha [definition, in ImpParser]
isred [definition, in Basics]
isWhite [definition, in ImpParser]
is_fortytwo [definition, in Auto]
is_even_prime [definition, in Logic]
is_three [definition, in Logic]
is_der [definition, in IndProp]
is_fortytwo [definition, in AltAuto]
i1:34 [binder, in ImpCEvalFun]
i2:35 [binder, in ImpCEvalFun]
i:130 [binder, in Lists]
i:153 [binder, in ImpParser]
i:16 [binder, in ImpCEvalFun]
i:22 [binder, in ImpCEvalFun]
i:33 [binder, in ImpCEvalFun]
i:42 [binder, in ImpCEvalFun]
i:46 [binder, in ImpCEvalFun]
i:77 [binder, in ImpParser]
i:8 [binder, in ImpCEvalFun]

## J

j:60 [binder, in Tactics]
j:69 [binder, in Tactics]

## K

k':57 [binder, in IndProp]
k':59 [binder, in IndProp]
k:165 [binder, in Poly]
k:188 [binder, in Logic]
k:190 [binder, in Logic]

## L

LateDays [module, in Basics]
LateDays.A [constructor, in Basics]
LateDays.apply_late_policy_unfold [lemma, in Basics]
LateDays.apply_late_policy [definition, in Basics]
LateDays.B [constructor, in Basics]
LateDays.C [constructor, in Basics]
LateDays.comparison [inductive, in Basics]
LateDays.D [constructor, in Basics]
LateDays.Eq [constructor, in Basics]
LateDays.F [constructor, in Basics]
LateDays.Grade [constructor, in Basics]
LateDays.grade [inductive, in Basics]
LateDays.grade_lowered_once [lemma, in Basics]
LateDays.grade_comparison [definition, in Basics]
LateDays.Gt [constructor, in Basics]
LateDays.letter [inductive, in Basics]
LateDays.letter_comparison_Eq [lemma, in Basics]
LateDays.letter_comparison [definition, in Basics]
LateDays.lower_grade_lowers [lemma, in Basics]
LateDays.lower_grade_F_Minus [lemma, in Basics]
LateDays.lower_grade_thrice [definition, in Basics]
LateDays.lower_grade_twice [definition, in Basics]
LateDays.lower_grade_F_Natural [definition, in Basics]
LateDays.lower_grade_B_Plus [definition, in Basics]
LateDays.lower_grade_A_Minus [definition, in Basics]
LateDays.lower_grade_A_Natural [definition, in Basics]
LateDays.lower_grade_A_Plus [definition, in Basics]
LateDays.lower_grade [definition, in Basics]
LateDays.lower_letter_lowers [lemma, in Basics]
LateDays.lower_letter_F_is_F [lemma, in Basics]
LateDays.lower_letter_lowers [lemma, in Basics]
LateDays.lower_letter [definition, in Basics]
LateDays.Lt [constructor, in Basics]
LateDays.Minus [constructor, in Basics]
LateDays.modifier [inductive, in Basics]
LateDays.modifier_comparison [definition, in Basics]
LateDays.Natural [constructor, in Basics]
LateDays.no_penalty_for_mostly_on_time [lemma, in Basics]
LateDays.Plus [constructor, in Basics]
LateDays.test_grade_comparison4 [definition, in Basics]
LateDays.test_grade_comparison3 [definition, in Basics]
LateDays.test_grade_comparison2 [definition, in Basics]
LateDays.test_grade_comparison1 [definition, in Basics]
late_days:161 [binder, in Basics]
late_days:159 [binder, in Basics]
late_days:157 [binder, in Basics]
late_days:155 [binder, in Basics]
leaf [constructor, in IndPrinciples]
leaf_case [definition, in IndPrinciples]
leb [definition, in Basics]
leb_plus_exists [lemma, in Logic]
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_order [lemma, in Rel]
le_step [lemma, in Rel]
le_antisymmetric [lemma, in Rel]
le_not_symmetric [lemma, in Rel]
le_Sn_n [lemma, in Rel]
le_S_n [lemma, in Rel]
le_Sn_le [lemma, in Rel]
le_trans [lemma, in Rel]
le_reflexive [lemma, in Rel]
le_not_a_partial_function [lemma, in Rel]
le_antisym [lemma, in Auto]
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:138 [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_of_string [definition, in ImpParser]
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]
loop_never_stops [lemma, 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]
lst:195 [binder, in AltAuto]
lst:207 [binder, in AltAuto]
lst:210 [binder, in AltAuto]
lst:212 [binder, in AltAuto]
ltb [definition, in Basics]
lt_trans'' [lemma, in Rel]
lt_trans' [lemma, in Rel]
lt_trans [lemma, in Rel]
lt_ge_cases [lemma, in IndProp]
lx:92 [binder, in Poly]
ly:93 [binder, in Poly]
l':125 [binder, in Logic]
l':17 [binder, in Tactics]
l1:122 [binder, in Tactics]
l1:138 [binder, in Basics]
l1:159 [binder, in IndProp]
l1:162 [binder, in IndProp]
l1:181 [binder, in Logic]
l1:206 [binder, in Logic]
l1:213 [binder, in Logic]
l1:32 [binder, in Lists]
l1:325 [binder, in IndProp]
l1:341 [binder, in IndProp]
l1:347 [binder, in IndProp]
l1:35 [binder, in IndProp]
l1:46 [binder, in Lists]
l1:49 [binder, in Poly]
l1:68 [binder, in Lists]
l1:69 [binder, in Poly]
l1:72 [binder, in Poly]
l1:75 [binder, in Lists]
l1:79 [binder, in Lists]
l1:82 [binder, in Lists]
l1:86 [binder, in Lists]
l1:88 [binder, in Lists]
l1:99 [binder, in Lists]
l2:100 [binder, in Lists]
l2:123 [binder, in Tactics]
l2:139 [binder, in Basics]
l2:160 [binder, in IndProp]
l2:163 [binder, in IndProp]
l2:182 [binder, in Logic]
l2:207 [binder, in Logic]
l2:214 [binder, in Logic]
l2:326 [binder, in IndProp]
l2:33 [binder, in Lists]
l2:342 [binder, in IndProp]
l2:348 [binder, in IndProp]
l2:36 [binder, in IndProp]
l2:47 [binder, in Lists]
l2:50 [binder, in Poly]
l2:69 [binder, in Lists]
l2:70 [binder, in Poly]
l2:73 [binder, in Poly]
l2:76 [binder, in Lists]
l2:80 [binder, in Lists]
l2:83 [binder, in Lists]
l2:87 [binder, in Lists]
l2:89 [binder, in Lists]
l3:161 [binder, in IndProp]
l3:164 [binder, in IndProp]
l3:37 [binder, in IndProp]
l3:70 [binder, in Lists]
l3:84 [binder, in Lists]
l4:85 [binder, in Lists]
l:101 [binder, in Lists]
l:101 [binder, in Tactics]
l:106 [binder, in Poly]
l:107 [binder, in Logic]
l:109 [binder, in Lists]
l:112 [binder, in Poly]
l:115 [binder, in Logic]
l:116 [binder, in Tactics]
l:117 [binder, in Lists]
l:118 [binder, in Lists]
l:120 [binder, in Logic]
l:120 [binder, in Poly]
l:121 [binder, in Tactics]
l:124 [binder, in Logic]
l:124 [binder, in Poly]
l:125 [binder, in Poly]
l:127 [binder, in Poly]
l:128 [binder, in Poly]
l:129 [binder, in Logic]
l:131 [binder, in Poly]
l:133 [binder, in Logic]
l:134 [binder, in Basics]
l:136 [binder, in Poly]
l:137 [binder, in Tactics]
l:141 [binder, in Tactics]
l:142 [binder, in Basics]
l:144 [binder, in Poly]
l:145 [binder, in Tactics]
l:148 [binder, in Poly]
l:149 [binder, in Tactics]
l:149 [binder, in Basics]
l:15 [binder, in IndPrinciples]
l:151 [binder, in Basics]
l:152 [binder, in Tactics]
l:152 [binder, in Basics]
l:158 [binder, in IndProp]
l:159 [binder, in Logic]
l:159 [binder, in Poly]
l:16 [binder, in Tactics]
l:160 [binder, in Logic]
l:161 [binder, in Logic]
l:162 [binder, in Logic]
l:163 [binder, in Logic]
l:164 [binder, in Logic]
l:167 [binder, in Poly]
l:170 [binder, in Poly]
l:174 [binder, in Poly]
l:18 [binder, in IndPrinciples]
l:186 [binder, in Logic]
l:19 [binder, in IndPrinciples]
l:209 [binder, in IndProp]
l:217 [binder, in Logic]
l:22 [binder, in IndPrinciples]
l:221 [binder, in Logic]
l:24 [binder, in Lists]
l:25 [binder, in IndPrinciples]
l:267 [binder, in IndProp]
l:273 [binder, in IndProp]
l:29 [binder, in Lists]
l:294 [binder, in IndProp]
l:308 [binder, in IndProp]
l:311 [binder, in IndProp]
l:315 [binder, in IndProp]
l:324 [binder, in IndProp]
l:333 [binder, in IndProp]
l:335 [binder, in IndProp]
l:337 [binder, in IndProp]
l:340 [binder, in IndProp]
l:37 [binder, in Lists]
l:39 [binder, in Lists]
l:4 [binder, in Poly]
l:41 [binder, in Lists]
l:43 [binder, in Lists]
l:45 [binder, in Lists]
l:47 [binder, in Poly]
l:54 [binder, in Poly]
l:57 [binder, in IndPrinciples]
l:58 [binder, in Poly]
l:59 [binder, in Tactics]
l:63 [binder, in Poly]
l:65 [binder, in Poly]
l:66 [binder, in Lists]
l:67 [binder, in Lists]
l:68 [binder, in Tactics]
l:71 [binder, in Lists]
l:74 [binder, in Lists]
l:75 [binder, in Poly]
l:77 [binder, in Lists]
l:78 [binder, in Lists]
l:81 [binder, in Lists]
l:9 [binder, in Poly]
l:91 [binder, in Lists]
l:99 [binder, in Poly]

## M

manual_grade_for_split_combine [definition, in Tactics]
manual_grade_for_informal_proof [definition, in Tactics]
manual_grade_for_no_whiles_terminating [definition, in Imp]
manual_grade_for_XtimesYinZ_spec [definition, in Imp]
manual_grade_for_negation_fn_applied_twice [definition, in Basics]
manual_grade_for_informal_not_PNP [definition, in Logic]
manual_grade_for_double_neg_inf [definition, in Logic]
manual_grade_for_eqb_refl_informal [definition, in Induction]
manual_grade_for_add_comm_informal [definition, in Induction]
manual_grade_for_ceval_step__ceval_inf [definition, in ImpCEvalFun]
manual_grade_for_check_repeats [definition, in IndProp]
manual_grade_for_NoDup_disjoint_etc [definition, in IndProp]
manual_grade_for_nostutter [definition, in IndProp]
manual_grade_for_nor_intuition [definition, in AltAuto]
manual_grade_for_pumping_redux_strong [definition, in AltAuto]
manual_grade_for_pumping_redux [definition, in AltAuto]
manual_grade_for_re_opt_match'' [definition, in AltAuto]
manual_grade_for_re_opt [definition, in AltAuto]
many [definition, in ImpParser]
many_helper [definition, in ImpParser]
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]
matches_regex [definition, in IndProp]
match_eps_refl [lemma, in IndProp]
match_eps [definition, in IndProp]
match_ex5 [lemma, in AltAuto]
match_ex5 [lemma, in AltAuto]
match_ex4 [lemma, in AltAuto]
match_ex3' [lemma, in AltAuto]
match_ex3 [lemma, in AltAuto]
match_ex2''' [lemma, in AltAuto]
match_ex2'' [lemma, in AltAuto]
match_ex2' [lemma, in AltAuto]
match_ex2 [lemma, in AltAuto]
match_ex1 [lemma, in AltAuto]
MChar [constructor, in IndProp]
MEmpty [constructor, in IndProp]
merge [inductive, in IndProp]
merge_filter [lemma, 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]
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_1_l [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]
MumbleGrumble [module, in Poly]
MumbleGrumble.a [constructor, in Poly]
MumbleGrumble.b [constructor, in Poly]
MumbleGrumble.c [constructor, in Poly]
MumbleGrumble.d [constructor, in Poly]
MumbleGrumble.e [constructor, in Poly]
MumbleGrumble.grumble [inductive, in Poly]
MumbleGrumble.mumble [inductive, in Poly]
MUnionL [constructor, in IndProp]
MUnionR [constructor, in IndProp]
MUnion' [lemma, in IndProp]
myblue [definition, in Basics]
mynil [definition, in Poly]
mynil [definition, in Poly]
mynil' [definition, in Poly]
m':76 [binder, in Maps]
m':81 [binder, in Maps]
m1:143 [binder, in Basics]
m2:144 [binder, in Basics]
m:100 [binder, in Logic]
m:100 [binder, in IndProp]
m:102 [binder, in IndProp]
m:102 [binder, in AltAuto]
m:103 [binder, in Logic]
m:104 [binder, in Tactics]
m:105 [binder, in AltAuto]
m:106 [binder, in Tactics]
m:107 [binder, in IndProp]
m:108 [binder, in AltAuto]
m:109 [binder, in Tactics]
m:109 [binder, in IndProp]
m:11 [binder, in Induction]
m:110 [binder, in Tactics]
m:111 [binder, in Tactics]
m:113 [binder, in IndProp]
m:116 [binder, in IndProp]
m:119 [binder, in IndProp]
m:12 [binder, in Maps]
m:120 [binder, in Basics]
m:122 [binder, in IndProp]
m:125 [binder, in IndProp]
m:127 [binder, in IndProp]
m:129 [binder, in IndProp]
m:130 [binder, in Tactics]
m:131 [binder, in IndProp]
m:132 [binder, in Lists]
m:132 [binder, in Tactics]
m:133 [binder, in IndProp]
m:134 [binder, in AltAuto]
m:135 [binder, in Basics]
m:136 [binder, in AltAuto]
m:137 [binder, in IndProp]
m:139 [binder, in AltAuto]
m:14 [binder, in Logic]
m:141 [binder, in IndProp]
m:145 [binder, in IndProp]
m:145 [binder, in AltAuto]
m:147 [binder, in Logic]
m:149 [binder, in IndProp]
m:15 [binder, in Tactics]
m:153 [binder, in IndProp]
m:155 [binder, in AltAuto]
m:16 [binder, in Lists]
m:16 [binder, in Logic]
m:16 [binder, in IndProp]
m:16 [binder, in AltAuto]
m:162 [binder, in AltAuto]
m:167 [binder, in Basics]
m:167 [binder, in Logic]
m:169 [binder, in Basics]
m:18 [binder, in Logic]
m:196 [binder, in Logic]
m:2 [binder, in Tactics]
m:2 [binder, in Logic]
m:20 [binder, in Logic]
m:20 [binder, in Induction]
m:20 [binder, in Maps]
m:214 [binder, in AltAuto]
m:217 [binder, in AltAuto]
m:218 [binder, in Poly]
m:22 [binder, in Logic]
m:22 [binder, in Induction]
m:220 [binder, in Poly]
m:220 [binder, in AltAuto]
m:222 [binder, in Poly]
m:222 [binder, in AltAuto]
m:227 [binder, in Logic]
m:23 [binder, in Rel]
m:24 [binder, in Poly]
m:24 [binder, in Maps]
m:25 [binder, in Rel]
m:26 [binder, in Tactics]
m:26 [binder, in Induction]
m:272 [binder, in IndProp]
m:275 [binder, in IndProp]
m:285 [binder, in IndProp]
m:29 [binder, in Maps]
m:292 [binder, in IndProp]
m:3 [binder, in Maps]
m:30 [binder, in Induction]
m:306 [binder, in IndProp]
m:33 [binder, in Logic]
m:33 [binder, in Induction]
m:33 [binder, in AltAuto]
m:34 [binder, in Auto]
m:34 [binder, in Maps]
m:36 [binder, in Rel]
m:36 [binder, in Auto]
m:36 [binder, in Induction]
m:37 [binder, in Maps]
m:38 [binder, in Logic]
m:38 [binder, in Induction]
m:380 [binder, in IndProp]
m:39 [binder, in Imp]
m:39 [binder, in Auto]
m:394 [binder, in IndProp]
m:4 [binder, in Tactics]
m:41 [binder, in Tactics]
m:41 [binder, in Induction]
m:45 [binder, in Tactics]
m:45 [binder, in Maps]
m:47 [binder, in Imp]
m:49 [binder, in Tactics]
m:5 [binder, in Maps]
m:51 [binder, in Tactics]
m:51 [binder, in Imp]
m:51 [binder, in Induction]
m:51 [binder, in Maps]
m:53 [binder, in Tactics]
m:53 [binder, in Imp]
m:53 [binder, in IndProp]
m:53 [binder, in AltAuto]
m:54 [binder, in Induction]
m:55 [binder, in Maps]
m:57 [binder, in Induction]
m:57 [binder, in AltAuto]
m:58 [binder, in Rel]
m:59 [binder, in Basics]
m:60 [binder, in Maps]
m:62 [binder, in Tactics]
m:63 [binder, in Basics]
m:63 [binder, in Induction]
m:63 [binder, in IndPrinciples]
m:64 [binder, in IndProp]
m:64 [binder, in AltAuto]
m:65 [binder, in Induction]
m:65 [binder, in Maps]
m:66 [binder, in Poly]
m:66 [binder, in IndPrinciples]
m:67 [binder, in Basics]
m:67 [binder, in AltAuto]
m:68 [binder, in IndPrinciples]
m:68 [binder, in IndProp]
m:69 [binder, in Maps]
m:7 [binder, in Induction]
m:73 [binder, in IndProp]
m:75 [binder, in IndPrinciples]
m:75 [binder, in IndProp]
m:75 [binder, in Maps]
m:77 [binder, in Tactics]
m:77 [binder, in Logic]
m:78 [binder, in Basics]
m:79 [binder, in Tactics]
m:8 [binder, in Tactics]
m:80 [binder, in Maps]
m:81 [binder, in Tactics]
m:81 [binder, in IndProp]
m:82 [binder, in Logic]
m:83 [binder, in IndPrinciples]
m:83 [binder, in AltAuto]
m:84 [binder, in Tactics]
m:84 [binder, in Basics]
m:84 [binder, in IndProp]
m:87 [binder, in Logic]
m:87 [binder, in IndPrinciples]
m:88 [binder, in Tactics]
m:88 [binder, in IndProp]
m:89 [binder, in Basics]
m:9 [binder, in Induction]
m:90 [binder, in Tactics]
m:92 [binder, in Tactics]
m:92 [binder, in IndPrinciples]
m:92 [binder, in IndProp]
m:93 [binder, in IndProp]
m:94 [binder, in Tactics]
m:96 [binder, in Tactics]
m:96 [binder, in Basics]
m:97 [binder, in IndPrinciples]
m:98 [binder, in Tactics]
m:98 [binder, in Basics]
m:98 [binder, in IndProp]

## 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_swap_is_snd [lemma, in Lists]
NatList.fst' [definition, in Lists]
NatList.hd [definition, in Lists]
NatList.hd_error [definition, in Lists]
NatList.included [definition, in Lists]
NatList.involution_injective [lemma, in Lists]
NatList.leb_n_Sn [lemma, in Lists]
NatList.length [definition, in Lists]
NatList.manual_grade_for_add_inc_count [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.remove_does_not_increase_count [lemma, in Lists]
NatList.remove_all [definition, in Lists]
NatList.remove_one [definition, 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_included2 [definition, in Lists]
NatList.test_included1 [definition, in Lists]
NatList.test_remove_all4 [definition, in Lists]
NatList.test_remove_all3 [definition, in Lists]
NatList.test_remove_all2 [definition, in Lists]
NatList.test_remove_all1 [definition, in Lists]
NatList.test_remove_one4 [definition, in Lists]
NatList.test_remove_one3 [definition, in Lists]
NatList.test_remove_one2 [definition, in Lists]
NatList.test_remove_one1 [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_bin_nat [lemma, in Induction]
nat_to_bin [definition, in Induction]
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_involutive' [lemma, in AltAuto]
negb_involutive [lemma, in AltAuto]
negb' [definition, in Basics]
next_nat_closure_is_le [lemma, in Rel]
next_nat_partial_function [lemma, in Rel]
next_nat [inductive, in Rel]
next_weekday [definition, in Basics]
night [constructor, in IndPrinciples]
nil [constructor, in Poly]
nil' [constructor, in Poly]
nn [constructor, in Rel]
nnil [constructor, in IndPrinciples]
nnil' [constructor, in IndPrinciples]
node [constructor, in IndPrinciples]
NoneE [constructor, in ImpParser]
nonzeros [definition, in AltAuto]
nonzeros_app [lemma, in AltAuto]
nor [inductive, in AltAuto]
normalize [definition, in Induction]
nor_not_and' [lemma, in AltAuto]
nor_not' [lemma, in AltAuto]
nor_comm' [lemma, in AltAuto]
nor_not [lemma, in AltAuto]
nor_comm [lemma, in AltAuto]
nor_not_or [lemma, in AltAuto]
nostutter [inductive, in IndProp]
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]
not_equiv_false [lemma, in IndProp]
no_whiles_eqv [lemma, in Imp]
no_whilesR [inductive, in Imp]
no_whiles [definition, in Imp]
no_hyp_name [lemma, in AltAuto]
nsnoc [constructor, in IndPrinciples]
ns:166 [binder, in Logic]
nth_error_after_last [lemma, in Tactics]
nth_error [definition, in Poly]
null_matches_none [lemma, in IndProp]
n_lt_m__n_le_m [lemma, in IndProp]
n_le_m__Sn_le_Sm [lemma, in IndProp]
n':111 [binder, in Logic]
n':48 [binder, in IndProp]
n0:58 [binder, in IndProp]
n0:60 [binder, in IndProp]
n0:94 [binder, in IndPrinciples]
n0:98 [binder, in IndPrinciples]
n1:101 [binder, in Imp]
n1:105 [binder, in Imp]
n1:105 [binder, in IndProp]
n1:123 [binder, in IndProp]
n1:131 [binder, in Imp]
n1:135 [binder, in Imp]
n1:139 [binder, in Imp]
n1:143 [binder, in Imp]
n1:161 [binder, in Imp]
n1:165 [binder, in Imp]
n1:169 [binder, in Imp]
n1:192 [binder, in Logic]
n1:3 [binder, in Lists]
n1:61 [binder, in Imp]
n1:65 [binder, in Imp]
n1:69 [binder, in Imp]
n1:76 [binder, in Imp]
n1:82 [binder, in Imp]
n1:85 [binder, in ProofObjects]
n1:87 [binder, in ProofObjects]
n1:88 [binder, in Imp]
n1:91 [binder, in ProofObjects]
n1:97 [binder, in Lists]
n1:97 [binder, in Imp]
n2:102 [binder, in Imp]
n2:106 [binder, in Imp]
n2:106 [binder, in IndProp]
n2:124 [binder, in IndProp]
n2:132 [binder, in Imp]
n2:136 [binder, in Imp]
n2:140 [binder, in Imp]
n2:144 [binder, in Imp]
n2:162 [binder, in Imp]
n2:166 [binder, in Imp]
n2:170 [binder, in Imp]
n2:193 [binder, in Logic]
n2:4 [binder, in Lists]
n2:62 [binder, in Imp]
n2:66 [binder, in Imp]
n2:70 [binder, in Imp]
n2:77 [binder, in Imp]
n2:83 [binder, in Imp]
n2:86 [binder, in ProofObjects]
n2:88 [binder, in ProofObjects]
n2:89 [binder, in Imp]
n2:92 [binder, in ProofObjects]
n2:98 [binder, in Lists]
n2:98 [binder, in Imp]
n3:145 [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:100 [binder, in IndPrinciples]
n:101 [binder, in IndPrinciples]
n:101 [binder, in IndProp]
n:101 [binder, in AltAuto]
n:102 [binder, in Lists]
n:102 [binder, in Tactics]
n:102 [binder, in Logic]
n:103 [binder, in Tactics]
n:103 [binder, in Basics]
n:104 [binder, in Basics]
n:104 [binder, in IndPrinciples]
n:104 [binder, in AltAuto]
n:106 [binder, in IndPrinciples]
n:107 [binder, in Poly]
n:107 [binder, in AltAuto]
n:108 [binder, in Lists]
n:108 [binder, in Imp]
n:108 [binder, in IndProp]
n:109 [binder, in IndPrinciples]
n:11 [binder, in AltAuto]
n:110 [binder, in Lists]
n:110 [binder, in Imp]
n:110 [binder, in Logic]
n:111 [binder, in IndPrinciples]
n:112 [binder, in Tactics]
n:112 [binder, in IndPrinciples]
n:112 [binder, in IndProp]
n:113 [binder, in Tactics]
n:115 [binder, in Basics]
n:115 [binder, in IndProp]
n:116 [binder, in Poly]
n:117 [binder, in ProofObjects]
n:117 [binder, in Imp]
n:117 [binder, in IndPrinciples]
n:118 [binder, in Basics]
n:118 [binder, in IndProp]
n:119 [binder, in Basics]
n:12 [binder, in ProofObjects]
n:12 [binder, in Tactics]
n:12 [binder, in AltAuto]
n:120 [binder, in IndPrinciples]
n:121 [binder, in IndProp]
n:122 [binder, in Lists]
n:124 [binder, in Tactics]
n:125 [binder, in Tactics]
n:126 [binder, in Tactics]
n:126 [binder, in Poly]
n:126 [binder, in IndProp]
n:128 [binder, in Imp]
n:128 [binder, in IndProp]
n:129 [binder, in Tactics]
n:13 [binder, in ProofObjects]
n:13 [binder, in Tactics]
n:13 [binder, in Logic]
n:13 [binder, in Induction]
n:130 [binder, in IndProp]
n:131 [binder, in Tactics]
n:132 [binder, in IndProp]
n:133 [binder, in AltAuto]
n:135 [binder, in AltAuto]
n:138 [binder, in IndProp]
n:138 [binder, in AltAuto]
n:139 [binder, in Logic]
n:14 [binder, in Tactics]
n:14 [binder, in IndPrinciples]
n:14 [binder, in IndProp]
n:140 [binder, in Poly]
n:142 [binder, in Logic]
n:142 [binder, in IndProp]
n:144 [binder, in AltAuto]
n:145 [binder, in Logic]
n:146 [binder, in Logic]
n:146 [binder, in IndProp]
n:148 [binder, in Imp]
n:15 [binder, in ProofObjects]
n:15 [binder, in Lists]
n:15 [binder, in Logic]
n:15 [binder, in IndProp]
n:15 [binder, in AltAuto]
n:150 [binder, in Poly]
n:150 [binder, in IndProp]
n:154 [binder, in IndProp]
n:157 [binder, in Imp]
n:158 [binder, in Imp]
n:16 [binder, in ProofObjects]
n:16 [binder, in Induction]
n:165 [binder, in Basics]
n:165 [binder, in Logic]
n:166 [binder, in Basics]
n:167 [binder, in IndProp]
n:168 [binder, in Poly]
n:168 [binder, in IndProp]
n:17 [binder, in Logic]
n:17 [binder, in Induction]
n:17 [binder, in IndPrinciples]
n:171 [binder, in IndProp]
n:172 [binder, in IndProp]
n:173 [binder, in Imp]
n:175 [binder, in AltAuto]
n:176 [binder, in AltAuto]
n:18 [binder, in Induction]
n:180 [binder, in AltAuto]
n:189 [binder, in Logic]
n:19 [binder, in Logic]
n:19 [binder, in Induction]
n:191 [binder, in Logic]
n:194 [binder, in Logic]
n:195 [binder, in Logic]
n:196 [binder, in AltAuto]
n:2 [binder, in ImpParser]
n:2 [binder, in Induction]
n:2 [binder, in IndPrinciples]
n:2 [binder, in Maps]
n:21 [binder, in Logic]
n:21 [binder, in Induction]
n:213 [binder, in AltAuto]
n:216 [binder, in Poly]
n:216 [binder, in AltAuto]
n:217 [binder, in Poly]
n:219 [binder, in Poly]
n:219 [binder, in AltAuto]
n:22 [binder, in Rel]
n:221 [binder, in Poly]
n:221 [binder, in AltAuto]
n:223 [binder, in Imp]
n:226 [binder, in Logic]
n:23 [binder, in Lists]
n:23 [binder, in IndPrinciples]
n:24 [binder, in Rel]
n:25 [binder, in Lists]
n:25 [binder, in Tactics]
n:25 [binder, in Induction]
n:253 [binder, in Imp]
n:26 [binder, in Rel]
n:26 [binder, in IndPrinciples]
n:265 [binder, in Imp]
n:266 [binder, in IndProp]
n:27 [binder, in IndPrinciples]
n:271 [binder, in IndProp]
n:29 [binder, in Induction]
n:293 [binder, in IndProp]
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:305 [binder, in IndProp]
n:307 [binder, in IndProp]
n:310 [binder, in IndProp]
n:314 [binder, in IndProp]
n:32 [binder, in Logic]
n:32 [binder, in Induction]
n:32 [binder, in AltAuto]
n:327 [binder, in IndProp]
n:328 [binder, in IndProp]
n:33 [binder, in Auto]
n:35 [binder, in Rel]
n:35 [binder, in Imp]
n:35 [binder, in Auto]
n:35 [binder, in Induction]
n:36 [binder, in Imp]
n:36 [binder, in Logic]
n:37 [binder, in Logic]
n:38 [binder, in Auto]
n:39 [binder, in Induction]
n:4 [binder, in Logic]
n:4 [binder, in ImpParser]
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 Induction]
n:40 [binder, in IndProp]
n:42 [binder, in IndProp]
n:43 [binder, in Induction]
n:44 [binder, in Tactics]
n:44 [binder, in Induction]
n:45 [binder, in IndPrinciples]
n:45 [binder, in IndProp]
n:46 [binder, in Basics]
n:46 [binder, in Induction]
n:46 [binder, in IndProp]
n:47 [binder, in Induction]
n:47 [binder, in IndProp]
n:48 [binder, in Tactics]
n:48 [binder, in Imp]
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 Tactics]
n:50 [binder, in Basics]
n:50 [binder, in Induction]
n:50 [binder, in IndProp]
n:51 [binder, in IndProp]
n:52 [binder, in Tactics]
n:52 [binder, in Imp]
n:52 [binder, in Basics]
n:52 [binder, in IndProp]
n:52 [binder, in AltAuto]
n:53 [binder, in Induction]
n:54 [binder, in Imp]
n:54 [binder, in Basics]
n:55 [binder, in Logic]
n:55 [binder, in ImpParser]
n:55 [binder, in IndProp]
n:56 [binder, in Induction]
n:56 [binder, in IndProp]
n:56 [binder, in AltAuto]
n:57 [binder, in Rel]
n:57 [binder, in Basics]
n:57 [binder, in Logic]
n:58 [binder, in Imp]
n:58 [binder, in Basics]
n:59 [binder, in IndPrinciples]
n:6 [binder, in ProofObjects]
n:6 [binder, in ImpParser]
n:6 [binder, in Induction]
n:60 [binder, in IndPrinciples]
n:60 [binder, in AltAuto]
n:61 [binder, in Tactics]
n:61 [binder, in Induction]
n:61 [binder, in IndPrinciples]
n:61 [binder, in IndProp]
n:61 [binder, in AltAuto]
n:62 [binder, in Basics]
n:62 [binder, in Induction]
n:62 [binder, in IndPrinciples]
n:62 [binder, in IndProp]
n:62 [binder, in AltAuto]
n:63 [binder, in Tactics]
n:63 [binder, in IndProp]
n:63 [binder, in AltAuto]
n:65 [binder, in IndPrinciples]
n:65 [binder, in AltAuto]
n:66 [binder, in ProofObjects]
n:66 [binder, in Basics]
n:66 [binder, in AltAuto]
n:67 [binder, in ProofObjects]
n:67 [binder, in Poly]
n:67 [binder, in IndPrinciples]
n:67 [binder, in IndProp]
n:68 [binder, in ProofObjects]
n:68 [binder, in Induction]
n:7 [binder, in ProofObjects]
n:7 [binder, in Tactics]
n:70 [binder, in Tactics]
n:70 [binder, in Induction]
n:70 [binder, in IndPrinciples]
n:71 [binder, in IndPrinciples]
n:71 [binder, in IndProp]
n:72 [binder, in Induction]
n:72 [binder, in IndProp]
n:73 [binder, in Imp]
n:74 [binder, in ImpParser]
n:74 [binder, in IndPrinciples]
n:74 [binder, in IndProp]
n:75 [binder, in Basics]
n:76 [binder, in Tactics]
n:76 [binder, in Logic]
n:77 [binder, in Basics]
n:78 [binder, in Tactics]
n:78 [binder, in IndPrinciples]
n:79 [binder, in IndProp]
n:8 [binder, in ProofObjects]
n:8 [binder, in ImpParser]
n:8 [binder, in Induction]
n:8 [binder, in AltAuto]
n:80 [binder, in Tactics]
n:80 [binder, in IndProp]
n:81 [binder, in Logic]
n:81 [binder, in IndPrinciples]
n:82 [binder, in IndPrinciples]
n:82 [binder, in AltAuto]
n:83 [binder, in Tactics]
n:83 [binder, in Basics]
n:83 [binder, in IndProp]
n:84 [binder, in Auto]
n:84 [binder, in IndPrinciples]
n:85 [binder, in Logic]
n:86 [binder, in Logic]
n:87 [binder, in Tactics]
n:87 [binder, in IndProp]
n:88 [binder, in Basics]
n:89 [binder, in Tactics]
n:9 [binder, in Rel]
n:9 [binder, in IndProp]
n:90 [binder, in Basics]
n:90 [binder, in IndPrinciples]
n:91 [binder, in Tactics]
n:91 [binder, in Basics]
n:91 [binder, in IndPrinciples]
n:91 [binder, in IndProp]
n:92 [binder, in Basics]
n:93 [binder, in Lists]
n:93 [binder, in Tactics]
n:93 [binder, in Basics]
n:93 [binder, in IndPrinciples]
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:95 [binder, in IndPrinciples]
n:96 [binder, in Lists]
n:96 [binder, in IndProp]
n:97 [binder, in Tactics]
n:97 [binder, in Basics]
n:97 [binder, in IndProp]
n:99 [binder, in Tactics]
n:99 [binder, in Logic]
n:99 [binder, in IndProp]

## O

odd [definition, in Basics]
one_not_even' [lemma, in IndProp]
one_not_even [lemma, in IndProp]
optionE [inductive, in ImpParser]
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]
order [definition, in Rel]
or_distributes_over_and [definition, in ProofObjects]
or_bogus [definition, in ProofObjects]
or_assoc [lemma, in Logic]
or_distributes_over_and [lemma, in Logic]
or_commut [lemma, in Logic]
or_intro_l [lemma, in Logic]
or_distributes_over_and_from_logic [lemma, in AltAuto]
other [constructor, in ImpParser]
O_le_n [lemma, in IndProp]
o:103 [binder, in AltAuto]
o:115 [binder, in Lists]
o:134 [binder, in IndProp]
o:139 [binder, in IndProp]
o:143 [binder, in IndProp]
o:146 [binder, in Lists]
o:147 [binder, in IndProp]
o:151 [binder, in IndProp]
o:155 [binder, in IndProp]
o:27 [binder, in Tactics]
o:42 [binder, in Tactics]
o:46 [binder, in Tactics]
o:49 [binder, in Imp]
o:5 [binder, in Tactics]
o:54 [binder, in Tactics]
o:54 [binder, in IndProp]
o:54 [binder, in AltAuto]
o:58 [binder, in AltAuto]
o:84 [binder, in AltAuto]
o:88 [binder, in Logic]
o:95 [binder, in IndProp]
o:99 [binder, in Basics]

## P

pair [constructor, in Poly]
pal [inductive, in IndProp]
palindrome_converse [lemma, in IndProp]
pal_rev [lemma, in IndProp]
pal_app_rev [lemma, in IndProp]
parse [definition, in ImpParser]
parseAExp [definition, in ImpParser]
parseAtomicExp [definition, in ImpParser]
parseBExp [definition, in ImpParser]
parseConjunctionExp [definition, in ImpParser]
parseIdentifier [definition, in ImpParser]
parseNumber [definition, in ImpParser]
parsePrimaryExp [definition, in ImpParser]
parseProductExp [definition, in ImpParser]
parser [definition, in ImpParser]
parseSequencedCommand [definition, in ImpParser]
parseSimpleCommand [definition, in ImpParser]
parseSumExp [definition, in ImpParser]
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_function [definition, in Rel]
partial_map [definition, in Maps]
partition [definition, in Poly]
pat:112 [binder, in ImpParser]
pat:115 [binder, in ImpParser]
pat:118 [binder, in ImpParser]
pat:121 [binder, in ImpParser]
pat:124 [binder, in ImpParser]
pat:127 [binder, in ImpParser]
pat:130 [binder, in ImpParser]
pat:133 [binder, in ImpParser]
pat:137 [binder, in ImpParser]
pat:140 [binder, in ImpParser]
pat:154 [binder, in ImpParser]
pat:157 [binder, in ImpParser]
pat:160 [binder, in ImpParser]
pat:163 [binder, in ImpParser]
pat:166 [binder, in ImpParser]
pat:169 [binder, in ImpParser]
pat:172 [binder, in ImpParser]
pat:175 [binder, in ImpParser]
pat:177 [binder, in ImpParser]
pat:180 [binder, in ImpParser]
pat:184 [binder, in ImpParser]
pat:187 [binder, in ImpParser]
pat:69 [binder, in ImpParser]
pat:72 [binder, in ImpParser]
pat:75 [binder, in ImpParser]
pat:78 [binder, in ImpParser]
pat:82 [binder, in ImpParser]
pat:85 [binder, in ImpParser]
pat:89 [binder, in ImpParser]
pat:93 [binder, in ImpParser]
pat:96 [binder, in ImpParser]
pat:99 [binder, in ImpParser]
peirce [definition, in Logic]
Perm3 [inductive, in IndProp]
perm3_trans [constructor, in IndProp]
perm3_swap23 [constructor, in IndProp]
perm3_swap12 [constructor, in IndProp]
Peven:136 [binder, in Logic]
Peven:138 [binder, in Logic]
Peven:141 [binder, in Logic]
Peven:144 [binder, in Logic]
pe_implies_pi [lemma, in ProofObjects]
pe_implies_true_eq [lemma, in ProofObjects]
pe_implies_or_eq [lemma, in ProofObjects]
pf1:142 [binder, in ProofObjects]
pf2:143 [binder, in ProofObjects]
pigeonhole_principle [lemma, in IndProp]
Playground [module, in Basics]
Playground [module, in IndProp]
Playground.le [inductive, in IndProp]
Playground.le_S [constructor, in IndProp]
Playground.le_n [constructor, in IndProp]
Playground.lt [definition, in IndProp]
Playground.myblue [definition, in Basics]
Playground.test_le3 [lemma, in IndProp]
Playground.test_le2 [lemma, in IndProp]
Playground.test_le1 [lemma, in IndProp]
_ < _ [notation, in IndProp]
_ <= _ [notation, in IndProp]
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_exists_leb [lemma, in Logic]
plus_claim_is_true [lemma, in Logic]
plus_claim [definition, in Logic]
plus_2_2_is_4 [lemma, in Logic]
plus_leb_compat_l [lemma, in Induction]
plus_rearrange [lemma, in Induction]
plus_rearrange_firsttry [lemma, in Induction]
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_n_Sm' [lemma, in AltAuto]
plus_n_Sm [lemma, in AltAuto]
plus_1_neq_0' [lemma, in AltAuto]
plus_1_neq_0 [lemma, in AltAuto]
plus_id_exercise_from_basics [lemma, in AltAuto]
plus' [definition, in Basics]
plus2 [definition, in Imp]
plus2_spec [lemma, in Imp]
plus3 [definition, in Poly]
Podd:135 [binder, in Logic]
Podd:137 [binder, in Logic]
Podd:140 [binder, in Logic]
Podd:143 [binder, in Logic]
Poly [library]
Postscript [library]
power:72 [binder, in Basics]
Preface [library]
preorder [definition, in Rel]
primary [constructor, in Basics]
prod [inductive, in Poly]
prog:269 [binder, in Imp]
proj1 [lemma, in Logic]
proj2 [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]
provable_equiv_true [lemma, in IndProp]
PSS:116 [binder, in IndPrinciples]
Pumping [module, in IndProp]
pumping [lemma, in AltAuto]
Pumping.napp [definition, in IndProp]
Pumping.napp_star [lemma, in IndProp]
Pumping.napp_plus [lemma, in IndProp]
Pumping.pumping [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]
pup_to_2_ceval [lemma, in Imp]
pup_to_n [definition, in Imp]
pup_to_n_1 [definition, in ImpCEvalFun]
pup_to_n [definition, in ImpCEvalFun]
P_m0r' [definition, in IndPrinciples]
P_m0r [definition, in IndPrinciples]
P0:114 [binder, in IndPrinciples]
P1:115 [binder, in IndPrinciples]
p1:274 [binder, in Imp]
p2:275 [binder, in Imp]
P:1 [binder, in IndPrinciples]
p:100 [binder, in Basics]
P:101 [binder, in ProofObjects]
p:102 [binder, in Basics]
P:102 [binder, in IndPrinciples]
P:105 [binder, in ProofObjects]
p:106 [binder, in AltAuto]
P:109 [binder, in ProofObjects]
P:109 [binder, in AltAuto]
p:11 [binder, in Lists]
p:11 [binder, in Tactics]
P:11 [binder, in Auto]
P:110 [binder, in ProofObjects]
P:110 [binder, in IndPrinciples]
p:110 [binder, in IndProp]
P:112 [binder, in ProofObjects]
P:112 [binder, in AltAuto]
P:113 [binder, in IndPrinciples]
p:114 [binder, in IndProp]
P:115 [binder, in AltAuto]
p:117 [binder, in IndProp]
P:118 [binder, in AltAuto]
P:119 [binder, in ProofObjects]
p:12 [binder, in Induction]
p:120 [binder, in IndProp]
P:122 [binder, in ProofObjects]
P:124 [binder, in AltAuto]
P:125 [binder, in ProofObjects]
P:126 [binder, in ProofObjects]
P:127 [binder, in Auto]
P:128 [binder, in ProofObjects]
P:128 [binder, in Logic]
p:13 [binder, in Lists]
P:130 [binder, in ProofObjects]
P:130 [binder, in AltAuto]
P:132 [binder, in Logic]
P:133 [binder, in ProofObjects]
p:133 [binder, in Tactics]
P:133 [binder, in Auto]
P:136 [binder, in ProofObjects]
p:137 [binder, in AltAuto]
P:138 [binder, in ProofObjects]
P:138 [binder, in Auto]
P:140 [binder, in ProofObjects]
p:140 [binder, in AltAuto]
P:141 [binder, in ProofObjects]
p:142 [binder, in ImpParser]
P:143 [binder, in Auto]
P:148 [binder, in Auto]
P:16 [binder, in IndPrinciples]
P:17 [binder, in ProofObjects]
p:17 [binder, in Lists]
P:17 [binder, in Auto]
p:17 [binder, in AltAuto]
p:18 [binder, in Lists]
p:185 [binder, in Poly]
p:19 [binder, in Lists]
p:196 [binder, in Poly]
p:197 [binder, in Logic]
P:198 [binder, in AltAuto]
P:199 [binder, in AltAuto]
p:20 [binder, in Lists]
P:200 [binder, in AltAuto]
P:202 [binder, in AltAuto]
P:205 [binder, in AltAuto]
P:21 [binder, in ProofObjects]
p:215 [binder, in AltAuto]
p:218 [binder, in AltAuto]
P:223 [binder, in Logic]
P:223 [binder, in AltAuto]
P:224 [binder, in Logic]
P:224 [binder, in AltAuto]
P:226 [binder, in AltAuto]
P:228 [binder, in Logic]
P:229 [binder, in AltAuto]
P:23 [binder, in ProofObjects]
P:23 [binder, in Auto]
P:23 [binder, in Logic]
p:23 [binder, in Induction]
P:230 [binder, in Logic]
P:233 [binder, in Logic]
P:233 [binder, in AltAuto]
P:235 [binder, in Logic]
P:235 [binder, in AltAuto]
P:236 [binder, in Logic]
P:237 [binder, in AltAuto]
P:238 [binder, in Logic]
P:238 [binder, in AltAuto]
P:24 [binder, in IndPrinciples]
P:240 [binder, in AltAuto]
P:241 [binder, in AltAuto]
P:25 [binder, in ProofObjects]
P:25 [binder, in Logic]
P:26 [binder, in Auto]
P:27 [binder, in Logic]
p:27 [binder, in Induction]
P:29 [binder, in ProofObjects]
p:29 [binder, in Basics]
P:29 [binder, in Logic]
P:296 [binder, in IndProp]
P:301 [binder, in IndProp]
P:303 [binder, in IndProp]
P:31 [binder, in ProofObjects]
p:31 [binder, in Induction]
P:34 [binder, in ProofObjects]
P:34 [binder, in Imp]
p:34 [binder, in Induction]
P:34 [binder, in IndPrinciples]
p:34 [binder, in AltAuto]
p:35 [binder, in ImpParser]
P:35 [binder, in IndPrinciples]
P:350 [binder, in IndProp]
P:351 [binder, in IndProp]
P:36 [binder, in IndPrinciples]
p:37 [binder, in Rel]
p:37 [binder, in Auto]
p:37 [binder, in Induction]
P:37 [binder, in IndPrinciples]
P:38 [binder, in ProofObjects]
P:39 [binder, in Logic]
P:40 [binder, in ProofObjects]
p:40 [binder, in Auto]
P:41 [binder, in Logic]
P:42 [binder, in Logic]
p:42 [binder, in ImpParser]
p:42 [binder, in Induction]
P:43 [binder, in ProofObjects]
p:43 [binder, in Tactics]
P:43 [binder, in Logic]
P:43 [binder, in IndPrinciples]
P:45 [binder, in ProofObjects]
P:45 [binder, in Logic]
p:46 [binder, in ImpParser]
p:47 [binder, in Tactics]
P:47 [binder, in Logic]
P:48 [binder, in ProofObjects]
P:48 [binder, in Logic]
P:48 [binder, in AltAuto]
P:49 [binder, in AltAuto]
p:5 [binder, in Lists]
P:5 [binder, in Auto]
p:50 [binder, in Imp]
P:50 [binder, in Logic]
P:50 [binder, in AltAuto]
P:51 [binder, in Logic]
P:51 [binder, in AltAuto]
p:52 [binder, in Induction]
P:55 [binder, in ProofObjects]
p:55 [binder, in Imp]
p:55 [binder, in Induction]
p:55 [binder, in AltAuto]
P:58 [binder, in ProofObjects]
P:58 [binder, in Logic]
p:58 [binder, in Induction]
p:59 [binder, in AltAuto]
p:6 [binder, in Tactics]
P:60 [binder, in Logic]
P:61 [binder, in ProofObjects]
P:63 [binder, in Logic]
p:64 [binder, in IndPrinciples]
P:66 [binder, in Logic]
P:69 [binder, in Logic]
P:69 [binder, in IndPrinciples]
p:7 [binder, in Lists]
P:70 [binder, in Logic]
P:71 [binder, in ProofObjects]
P:73 [binder, in Logic]
P:76 [binder, in ProofObjects]
p:76 [binder, in IndProp]
P:78 [binder, in Logic]
P:8 [binder, in Auto]
P:8 [binder, in IndPrinciples]
p:83 [binder, in Logic]
p:84 [binder, in Poly]
p:85 [binder, in Tactics]
p:85 [binder, in AltAuto]
p:88 [binder, in Poly]
P:89 [binder, in IndPrinciples]
P:89 [binder, in AltAuto]
p:9 [binder, in Lists]
P:9 [binder, in AltAuto]
P:90 [binder, in Logic]
P:90 [binder, in AltAuto]
P:92 [binder, in AltAuto]
P:94 [binder, in Logic]
P:95 [binder, in AltAuto]
P:96 [binder, in IndPrinciples]
P:99 [binder, in IndPrinciples]
P:99 [binder, in AltAuto]

## Q

Q:100 [binder, in AltAuto]
q:101 [binder, in Basics]
Q:110 [binder, in AltAuto]
Q:111 [binder, in ProofObjects]
q:111 [binder, in IndProp]
Q:113 [binder, in ProofObjects]
Q:113 [binder, in AltAuto]
Q:116 [binder, in AltAuto]
Q:119 [binder, in AltAuto]
Q:12 [binder, in Auto]
Q:120 [binder, in ProofObjects]
Q:123 [binder, in ProofObjects]
Q:125 [binder, in AltAuto]
Q:127 [binder, in ProofObjects]
Q:128 [binder, in Auto]
Q:129 [binder, in ProofObjects]
Q:131 [binder, in ProofObjects]
Q:131 [binder, in AltAuto]
Q:134 [binder, in ProofObjects]
Q:134 [binder, in Auto]
Q:137 [binder, in ProofObjects]
Q:139 [binder, in ProofObjects]
Q:139 [binder, in Auto]
Q:144 [binder, in Auto]
Q:149 [binder, in Auto]
Q:18 [binder, in ProofObjects]
Q:18 [binder, in Auto]
Q:201 [binder, in AltAuto]
Q:203 [binder, in AltAuto]
Q:206 [binder, in AltAuto]
Q:22 [binder, in ProofObjects]
Q:225 [binder, in AltAuto]
Q:227 [binder, in AltAuto]
Q:230 [binder, in AltAuto]
Q:234 [binder, in Logic]
Q:234 [binder, in AltAuto]
Q:236 [binder, in AltAuto]
Q:237 [binder, in Logic]
Q:239 [binder, in Logic]
Q:239 [binder, in AltAuto]
Q:24 [binder, in ProofObjects]
Q:24 [binder, in Auto]
Q:24 [binder, in Logic]
q:24 [binder, in Induction]
Q:242 [binder, in AltAuto]
Q:26 [binder, in ProofObjects]
Q:26 [binder, in Logic]
Q:27 [binder, in Auto]
Q:28 [binder, in Logic]
q:28 [binder, in Induction]
Q:30 [binder, in ProofObjects]
Q:30 [binder, in Logic]
Q:32 [binder, in ProofObjects]
Q:35 [binder, in ProofObjects]
Q:39 [binder, in ProofObjects]
Q:40 [binder, in Logic]
Q:41 [binder, in ProofObjects]
Q:44 [binder, in ProofObjects]
Q:44 [binder, in Logic]
Q:46 [binder, in ProofObjects]
Q:46 [binder, in Logic]
Q:49 [binder, in ProofObjects]
Q:49 [binder, in Logic]
Q:52 [binder, in Logic]
Q:56 [binder, in ProofObjects]
Q:59 [binder, in ProofObjects]
Q:59 [binder, in Logic]
Q:6 [binder, in Auto]
Q:61 [binder, in Logic]
Q:64 [binder, in Logic]
Q:67 [binder, in Logic]
Q:71 [binder, in Logic]
Q:74 [binder, in Logic]
Q:79 [binder, in Logic]
q:86 [binder, in Tactics]
q:9 [binder, in Tactics]
Q:9 [binder, in Auto]
Q:91 [binder, in AltAuto]
Q:95 [binder, in Logic]
Q:96 [binder, in AltAuto]

## R

R [module, in IndProp]
reaches_1 [inductive, in IndProp]
reaches_1_in [definition, in IndProp]
red [constructor, in Basics]
red [constructor, in IndPrinciples]
redundant_match [definition, in AltAuto]
reflect [definition, in IndPrinciples]
reflect [inductive, in IndProp]
ReflectF [constructor, in IndProp]
ReflectT [constructor, in IndProp]
reflect_involution [lemma, in IndPrinciples]
reflect_involution [lemma, in IndPrinciples]
reflect_iff [lemma, in IndProp]
reflexive [definition, in Rel]
refl_matches_eps [definition, in IndProp]
regex_match_correct [lemma, in IndProp]
regex_match [definition, in IndProp]
reg_exp_ex4 [definition, in IndProp]
reg_exp_of_list [definition, in IndProp]
reg_exp_ex3 [definition, in IndProp]
reg_exp_ex2 [definition, in IndProp]
reg_exp_ex1 [definition, in IndProp]
reg_exp [inductive, in IndProp]
Rel [library]
relation [definition, in Rel]
Repeat [module, in Auto]
repeat [definition, in Poly]
repeats [inductive, in IndProp]
repeat' [definition, in Poly]
repeat'' [definition, in Poly]
repeat''' [definition, in Poly]
Repeat.CAsgn [constructor, in Auto]
Repeat.ceval [inductive, in Auto]
Repeat.ceval_deterministic' [lemma, in Auto]
Repeat.ceval_deterministic [lemma, in Auto]
Repeat.CIf [constructor, in Auto]
Repeat.com [inductive, in Auto]
Repeat.CRepeat [constructor, in Auto]
Repeat.CSeq [constructor, in Auto]
Repeat.CSkip [constructor, in Auto]
Repeat.CWhile [constructor, in Auto]
Repeat.E_RepeatLoop [constructor, in Auto]
Repeat.E_RepeatEnd [constructor, in Auto]
Repeat.E_WhileTrue [constructor, in Auto]
Repeat.E_WhileFalse [constructor, in Auto]
Repeat.E_IfFalse [constructor, in Auto]
Repeat.E_IfTrue [constructor, in Auto]
Repeat.E_Seq [constructor, in Auto]
Repeat.E_Asgn [constructor, in Auto]
Repeat.E_Skip [constructor, in Auto]
com:_ ; _ [notation, in Auto]
com:_ := _ [notation, in Auto]
com:if _ then _ else _ end [notation, in Auto]
com:repeat _ until _ end [notation, in Auto]
com:skip [notation, in Auto]
com:while _ do _ end [notation, in Auto]
_ =[ _ ]=> _ [notation, in Auto]
restricted_excluded_middle_eq [lemma, in Logic]
restricted_excluded_middle [lemma, in Logic]
rest''':176 [binder, in ImpParser]
rest'':164 [binder, in ImpParser]
rest'':173 [binder, in ImpParser]
rest':113 [binder, in ImpParser]
rest':116 [binder, in ImpParser]
rest':122 [binder, in ImpParser]
rest':138 [binder, in ImpParser]
rest':155 [binder, in ImpParser]
rest':161 [binder, in ImpParser]
rest':170 [binder, in ImpParser]
rest':185 [binder, in ImpParser]
rest':70 [binder, in ImpParser]
rest':83 [binder, in ImpParser]
rest':91 [binder, in ImpParser]
rest':94 [binder, in ImpParser]
rest':97 [binder, in ImpParser]
rest:110 [binder, in ImpParser]
rest:119 [binder, in ImpParser]
rest:125 [binder, in ImpParser]
rest:128 [binder, in ImpParser]
rest:131 [binder, in ImpParser]
rest:135 [binder, in ImpParser]
rest:152 [binder, in ImpParser]
rest:158 [binder, in ImpParser]
rest:167 [binder, in ImpParser]
rest:178 [binder, in ImpParser]
rest:182 [binder, in ImpParser]
rest:67 [binder, in ImpParser]
rest:73 [binder, in ImpParser]
rest:76 [binder, in ImpParser]
rest:80 [binder, in ImpParser]
rest:87 [binder, in ImpParser]
result:31 [binder, in ImpParser]
rev [definition, in Poly]
rev_exercise1 [lemma, in Tactics]
rev_append [definition, in Logic]
rev_involutive [lemma, in Poly]
rev_app_distr [lemma, in Poly]
re_not_empty_correct [lemma, in IndProp]
re_not_empty [definition, in IndProp]
re_chars [definition, in IndProp]
re_opt_match'' [lemma, in AltAuto]
re_opt_match' [lemma, in AltAuto]
re_opt_match [lemma, in AltAuto]
re_opt [definition, in AltAuto]
re_opt_e_match'' [lemma, in AltAuto]
re_opt_e_match' [lemma, in AltAuto]
re_opt_e_match [lemma, in AltAuto]
re_opt_e [definition, in AltAuto]
re':247 [binder, in IndProp]
re':386 [binder, in IndProp]
re0:362 [binder, in IndProp]
re0:368 [binder, in IndProp]
re0:373 [binder, in IndProp]
re1:189 [binder, in IndProp]
re1:195 [binder, in IndProp]
re1:198 [binder, in IndProp]
re1:219 [binder, in IndProp]
re1:363 [binder, in IndProp]
re1:369 [binder, in IndProp]
re1:374 [binder, in IndProp]
re2:191 [binder, in IndProp]
re2:196 [binder, in IndProp]
re2:200 [binder, in IndProp]
re2:220 [binder, in IndProp]
re:147 [binder, in AltAuto]
re:150 [binder, in AltAuto]
re:157 [binder, in AltAuto]
re:2 [binder, in AltAuto]
re:202 [binder, in IndProp]
re:205 [binder, in IndProp]
re:214 [binder, in IndProp]
re:223 [binder, in IndProp]
re:226 [binder, in IndProp]
re:231 [binder, in IndProp]
re:234 [binder, in IndProp]
re:237 [binder, in IndProp]
re:24 [binder, in AltAuto]
re:242 [binder, in IndProp]
re:246 [binder, in IndProp]
re:251 [binder, in IndProp]
re:254 [binder, in IndProp]
re:258 [binder, in IndProp]
re:262 [binder, in IndProp]
re:264 [binder, in IndProp]
re:278 [binder, in IndProp]
re:280 [binder, in IndProp]
re:287 [binder, in IndProp]
re:36 [binder, in AltAuto]
re:377 [binder, in IndProp]
re:381 [binder, in IndProp]
re:382 [binder, in IndProp]
re:384 [binder, in IndProp]
re:39 [binder, in AltAuto]
re:390 [binder, in IndProp]
re:392 [binder, in IndProp]
re:396 [binder, in IndProp]
re:398 [binder, in IndProp]
re:43 [binder, in AltAuto]
re:46 [binder, in AltAuto]
re:6 [binder, in AltAuto]
rgb [inductive, in Basics]
rgb [inductive, in IndPrinciples]
rsc_trans [lemma, in Rel]
rsc_R [lemma, in Rel]
rtc_rsc_coincide [lemma, in Rel]
rt_trans [constructor, in Rel]
rt_refl [constructor, in Rel]
rt_step [constructor, in Rel]
rt1n_trans [constructor, in Rel]
rt1n_refl [constructor, in Rel]
R.c1 [constructor, in IndProp]
R.c2 [constructor, in IndProp]
R.c3 [constructor, in IndProp]
R.c4 [constructor, in IndProp]
R.c5 [constructor, in IndProp]
R.fR [definition, in IndProp]
R.manual_grade_for_R_provability [definition, in IndProp]
R.R [inductive, in IndProp]
R.R_equiv_fR [lemma, in IndProp]
r1:179 [binder, in IndProp]
r1:181 [binder, in IndProp]
r2:180 [binder, in IndProp]
r2:182 [binder, in IndProp]
r:10 [binder, in Tactics]
R:10 [binder, in Auto]
R:111 [binder, in AltAuto]
R:114 [binder, in AltAuto]
R:117 [binder, in AltAuto]
R:120 [binder, in AltAuto]
R:121 [binder, in ProofObjects]
R:124 [binder, in ProofObjects]
R:126 [binder, in AltAuto]
R:13 [binder, in Auto]
R:132 [binder, in ProofObjects]
R:132 [binder, in AltAuto]
R:135 [binder, in ProofObjects]
R:15 [binder, in Rel]
R:18 [binder, in Rel]
R:18 [binder, in IndProp]
r:183 [binder, in IndProp]
R:19 [binder, in Auto]
R:204 [binder, in AltAuto]
R:228 [binder, in AltAuto]
R:25 [binder, in Auto]
R:28 [binder, in Rel]
R:28 [binder, in Auto]
R:3 [binder, in Rel]
R:31 [binder, in Logic]
R:32 [binder, in Rel]
R:33 [binder, in ProofObjects]
R:39 [binder, in Rel]
R:41 [binder, in Rel]
R:43 [binder, in Rel]
R:45 [binder, in Rel]
R:47 [binder, in ProofObjects]
R:50 [binder, in ProofObjects]
R:57 [binder, in ProofObjects]
R:60 [binder, in Rel]
R:65 [binder, in Logic]
R:68 [binder, in Logic]
R:69 [binder, in Rel]
R:7 [binder, in Auto]
R:72 [binder, in Logic]
R:73 [binder, in Rel]
R:75 [binder, in Logic]
R:78 [binder, in Rel]
R:80 [binder, in Logic]

## S

saturday [constructor, in Basics]
sat_ex2 [definition, in AltAuto]
sat_ex1 [definition, in AltAuto]
sillyfun [definition, in Tactics]
sillyfun_false [lemma, in Tactics]
sillyfun1 [definition, in Tactics]
sillyfun1_odd [lemma, in Tactics]
sillyfun1_odd_FAILED [lemma, in Tactics]
silly_fact_2' [lemma, in Tactics]
silly_fact_2 [lemma, in Tactics]
silly_fact_2_FAILED [lemma, in Tactics]
silly_fact_1 [lemma, in Tactics]
silly_ex [lemma, in Tactics]
silly1 [lemma, in Tactics]
silly1 [lemma, in Auto]
silly1 [lemma, in AltAuto]
silly2 [lemma, in Tactics]
silly2 [lemma, in Auto]
silly2 [lemma, in AltAuto]
silly2a [lemma, in Tactics]
silly2_eauto [lemma, in Auto]
silly2_eassumption [lemma, in Auto]
silly2_fixed [lemma, in Auto]
silly3 [lemma, in Tactics]
silly4 [lemma, in Tactics]
simple_semi'' [lemma, in AltAuto]
simple_semi' [lemma, in AltAuto]
simple_semi [lemma, in AltAuto]
sinstr [inductive, in Imp]
SLoad [constructor, in Imp]
SMinus [constructor, in Imp]
SMult [constructor, in Imp]
snd [definition, in Poly]
Sn_le_Sm__n_le_m [lemma, in IndProp]
SomeE [constructor, in ImpParser]
split [definition, in Tactics]
split [definition, in Poly]
split_combine [lemma, in Tactics]
split_combine_statement [definition, in Tactics]
SPlus [constructor, in Imp]
SPush [constructor, in Imp]
square [definition, in Tactics]
square_mult [lemma, in Tactics]
SSSSev__even [lemma, in IndProp]
ss:222 [binder, in IndProp]
ss:255 [binder, in IndProp]
stack:268 [binder, in Imp]
stack:276 [binder, in Imp]
stack:279 [binder, in Imp]
Star [constructor, in IndProp]
star_ne [lemma, in IndProp]
star_app [lemma, in IndProp]
star_app [lemma, in IndProp]
star_app [lemma, in IndProp]
state [definition, in Imp]
steps:103 [binder, in ImpParser]
steps:105 [binder, in ImpParser]
steps:145 [binder, in ImpParser]
steps:147 [binder, in ImpParser]
steps:37 [binder, in ImpParser]
steps:43 [binder, in ImpParser]
steps:57 [binder, in ImpParser]
steps:59 [binder, in ImpParser]
steps:61 [binder, in ImpParser]
string [definition, in IndProp]
string_of_list [definition, in ImpParser]
stroke [constructor, in AltAuto]
str:188 [binder, in ImpParser]
st'':106 [binder, in Auto]
st'':115 [binder, in Auto]
st'':229 [binder, in Imp]
st'':245 [binder, in Imp]
st'':315 [binder, in Imp]
st'':324 [binder, in Imp]
st'':90 [binder, in Auto]
st':105 [binder, in Auto]
st':110 [binder, in Auto]
st':114 [binder, in Auto]
st':12 [binder, in ImpCEvalFun]
st':13 [binder, in ImpCEvalFun]
st':217 [binder, in Imp]
st':228 [binder, in Imp]
st':231 [binder, in Imp]
st':236 [binder, in Imp]
st':244 [binder, in Imp]
st':254 [binder, in Imp]
st':256 [binder, in Imp]
st':26 [binder, in ImpCEvalFun]
st':27 [binder, in ImpCEvalFun]
st':300 [binder, in Imp]
st':305 [binder, in Imp]
st':310 [binder, in Imp]
st':314 [binder, in Imp]
st':319 [binder, in Imp]
st':32 [binder, in ImpCEvalFun]
st':323 [binder, in Imp]
st':37 [binder, in ImpCEvalFun]
st':41 [binder, in ImpCEvalFun]
st':45 [binder, in ImpCEvalFun]
st':5 [binder, in ImpCEvalFun]
st':89 [binder, in Auto]
st':92 [binder, in Auto]
st':97 [binder, in Auto]
st1:120 [binder, in Auto]
st1:124 [binder, in Auto]
st1:250 [binder, in Imp]
st1:3 [binder, in Auto]
st1:327 [binder, in Imp]
st1:46 [binder, in Auto]
st1:49 [binder, in ImpCEvalFun]
st1:50 [binder, in Auto]
st1:54 [binder, in Auto]
st1:58 [binder, in Auto]
st1:64 [binder, in Auto]
st2:121 [binder, in Auto]
st2:125 [binder, in Auto]
st2:251 [binder, in Imp]
st2:328 [binder, in Imp]
st2:4 [binder, in Auto]
st2:47 [binder, in Auto]
st2:50 [binder, in ImpCEvalFun]
st2:51 [binder, in Auto]
st2:55 [binder, in Auto]
st2:59 [binder, in Auto]
st2:65 [binder, in Auto]
st:1 [binder, in ImpCEvalFun]
st:102 [binder, in Auto]
st:104 [binder, in Auto]
st:109 [binder, in Auto]
st:113 [binder, in Auto]
st:119 [binder, in Auto]
st:123 [binder, in Auto]
st:14 [binder, in ImpCEvalFun]
st:194 [binder, in Imp]
st:198 [binder, in Imp]
st:2 [binder, in Auto]
st:20 [binder, in ImpCEvalFun]
st:213 [binder, in Imp]
st:220 [binder, in Imp]
st:221 [binder, in Imp]
st:227 [binder, in Imp]
st:230 [binder, in Imp]
st:235 [binder, in Imp]
st:241 [binder, in Imp]
st:243 [binder, in Imp]
st:249 [binder, in Imp]
st:252 [binder, in Imp]
st:255 [binder, in Imp]
st:267 [binder, in Imp]
st:273 [binder, in Imp]
st:277 [binder, in Imp]
st:28 [binder, in ImpCEvalFun]
st:280 [binder, in Imp]
st:297 [binder, in Imp]
st:299 [binder, in Imp]
st:304 [binder, in Imp]
st:309 [binder, in Imp]
st:31 [binder, in ImpCEvalFun]
st:313 [binder, in Imp]
st:318 [binder, in Imp]
st:322 [binder, in Imp]
st:326 [binder, in Imp]
st:36 [binder, in ImpCEvalFun]
st:40 [binder, in ImpCEvalFun]
st:44 [binder, in ImpCEvalFun]
st:45 [binder, in Auto]
st:48 [binder, in ImpCEvalFun]
st:49 [binder, in Auto]
st:53 [binder, in Auto]
st:57 [binder, in Auto]
st:6 [binder, in ImpCEvalFun]
st:63 [binder, in Auto]
st:81 [binder, in Auto]
st:82 [binder, in Auto]
st:88 [binder, in Auto]
st:91 [binder, in Auto]
st:96 [binder, in Auto]
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]
succ_inj [lemma, in Logic]
succ:208 [binder, in Poly]
succ:211 [binder, in Poly]
succ:214 [binder, in Poly]
sunday [constructor, in Basics]
symmetric [definition, in Rel]
S_inj [lemma, in Tactics]
S_injective' [lemma, in Tactics]
S_injective [lemma, in Tactics]
s_compile_correct [lemma, in Imp]
s_compile_correct_aux [lemma, in Imp]
s_compile1 [definition, in Imp]
s_compile [definition, in Imp]
s_execute2 [definition, in Imp]
s_execute1 [definition, in Imp]
s_execute [definition, in Imp]
S_neqb_0 [lemma, in Induction]
S_injective_from_tactics [lemma, in AltAuto]
s':126 [binder, in Auto]
s':256 [binder, in IndProp]
s0:364 [binder, in IndProp]
s0:370 [binder, in IndProp]
s0:378 [binder, in IndProp]
s1:152 [binder, in AltAuto]
s1:159 [binder, in AltAuto]
s1:188 [binder, in IndProp]
s1:194 [binder, in IndProp]
s1:203 [binder, in IndProp]
s1:240 [binder, in IndProp]
s1:244 [binder, in IndProp]
s1:249 [binder, in IndProp]
s1:276 [binder, in IndProp]
s1:282 [binder, in IndProp]
s1:289 [binder, in IndProp]
s1:329 [binder, in Imp]
s1:365 [binder, in IndProp]
s1:371 [binder, in IndProp]
s1:379 [binder, in IndProp]
s1:63 [binder, in Lists]
s2:153 [binder, in AltAuto]
s2:160 [binder, in AltAuto]
s2:190 [binder, in IndProp]
s2:199 [binder, in IndProp]
s2:204 [binder, in IndProp]
s2:241 [binder, in IndProp]
s2:245 [binder, in IndProp]
s2:250 [binder, in IndProp]
s2:277 [binder, in IndProp]
s2:283 [binder, in IndProp]
s2:290 [binder, in IndProp]
s2:330 [binder, in Imp]
s2:64 [binder, in Lists]
s3:154 [binder, in AltAuto]
s3:161 [binder, in AltAuto]
s3:284 [binder, in IndProp]
s3:291 [binder, in IndProp]
s:12 [binder, in ImpParser]
S:121 [binder, in AltAuto]
S:127 [binder, in AltAuto]
S:14 [binder, in Auto]
s:143 [binder, in ImpParser]
s:148 [binder, in AltAuto]
s:151 [binder, in AltAuto]
s:158 [binder, in AltAuto]
S:20 [binder, in Auto]
s:213 [binder, in IndProp]
s:216 [binder, in IndProp]
s:218 [binder, in IndProp]
s:224 [binder, in IndProp]
s:230 [binder, in IndProp]
s:238 [binder, in IndProp]
s:25 [binder, in ImpParser]
s:25 [binder, in AltAuto]
s:253 [binder, in IndProp]
s:281 [binder, in IndProp]
s:288 [binder, in IndProp]
S:29 [binder, in Auto]
s:30 [binder, in ImpParser]
s:301 [binder, in Imp]
s:306 [binder, in Imp]
s:352 [binder, in IndProp]
s:353 [binder, in IndProp]
s:355 [binder, in IndProp]
s:358 [binder, in IndProp]
s:360 [binder, in IndProp]
s:361 [binder, in IndProp]
s:367 [binder, in IndProp]
s:37 [binder, in AltAuto]
s:372 [binder, in IndProp]
s:376 [binder, in IndProp]
s:387 [binder, in IndProp]
s:395 [binder, in IndProp]
s:397 [binder, in IndProp]
s:44 [binder, in AltAuto]
s:47 [binder, in AltAuto]
s:50 [binder, in Lists]
s:53 [binder, in Lists]
s:55 [binder, in Lists]
s:58 [binder, in Lists]
s:61 [binder, in Lists]
s:7 [binder, in AltAuto]
s:92 [binder, in Lists]
s:94 [binder, in Lists]

## T

Tactics [library]
term_more [constructor, in IndProp]
term_done [constructor, in IndProp]
term:101 [binder, in ImpParser]
testParsing [definition, in ImpParser]
test_existsb_4 [definition, in Tactics]
test_existsb_3 [definition, in Tactics]
test_existsb_2 [definition, in Tactics]
test_existsb_1 [definition, in Tactics]
test_forallb_4 [definition, in Tactics]
test_forallb_3 [definition, in Tactics]
test_forallb_2 [definition, in Tactics]
test_forallb_1 [definition, in Tactics]
test_bin_incr6 [definition, in Basics]
test_bin_incr5 [definition, in Basics]
test_bin_incr4 [definition, in Basics]
test_bin_incr3 [definition, in Basics]
test_bin_incr2 [definition, in Basics]
test_bin_incr1 [definition, in Basics]
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_hd_error2 [definition, in Poly]
test_hd_error1 [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_ceval [definition, in ImpCEvalFun]
test_der7 [definition, in IndProp]
test_der6 [definition, in IndProp]
test_der5 [definition, in IndProp]
test_der4 [definition, in IndProp]
test_der3 [definition, in IndProp]
test_der2 [definition, in IndProp]
test_der1 [definition, in IndProp]
test_der0 [definition, in IndProp]
test_nostutter_4 [definition, in IndProp]
test_nostutter_3 [definition, in IndProp]
test_nostutter_2 [definition, in IndProp]
test_nostutter_1 [definition, in IndProp]
test:119 [binder, in Poly]
test:130 [binder, in Poly]
test:135 [binder, in Tactics]
test:140 [binder, in Tactics]
test:144 [binder, in Tactics]
test:148 [binder, in Tactics]
test:151 [binder, in Tactics]
test:216 [binder, in Logic]
test:220 [binder, in Logic]
test:323 [binder, in IndProp]
thursday [constructor, in Basics]
time [inductive, in IndPrinciples]
tk:21 [binder, in ImpParser]
token [definition, in ImpParser]
tokenize [definition, in ImpParser]
tokenize_ex1 [definition, in ImpParser]
tokenize_helper [definition, in ImpParser]
tokens:189 [binder, in ImpParser]
total_relation_not_partial_function [lemma, in Rel]
total_relation [inductive, in Rel]
total_relation_is_total [lemma, in IndProp]
total_relation [inductive, in IndProp]
total_map [definition, in Maps]
Toy [inductive, in IndPrinciples]
Toy_correct [lemma, in IndPrinciples]
transitive [definition, in Rel]
trans_eq_exercise' [definition, in Tactics]
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]
tree [inductive, in IndPrinciples]
true [constructor, in Basics]
True_is_true [lemma, in Logic]
tr_rev_correct [lemma, in Logic]
tr_rev [definition, 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]
t_branch [constructor, in IndPrinciples]
t_leaf [constructor, in IndPrinciples]
t_tree [inductive, in IndPrinciples]
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]
t1:32 [binder, in IndPrinciples]
t1:52 [binder, in IndPrinciples]
t1:96 [binder, in ProofObjects]
t2:33 [binder, in IndPrinciples]
t2:53 [binder, in IndPrinciples]
t2:97 [binder, in ProofObjects]
T:1 [binder, in AltAuto]
T:122 [binder, in AltAuto]
t:125 [binder, in IndPrinciples]
T:127 [binder, in Logic]
T:128 [binder, in AltAuto]
t:129 [binder, in IndPrinciples]
T:131 [binder, in Logic]
t:131 [binder, in IndPrinciples]
t:144 [binder, in ImpParser]
T:146 [binder, in AltAuto]
T:149 [binder, in AltAuto]
T:15 [binder, in Auto]
T:156 [binder, in AltAuto]
T:175 [binder, in IndProp]
t:178 [binder, in IndProp]
T:184 [binder, in IndProp]
T:208 [binder, in IndProp]
T:21 [binder, in Auto]
T:212 [binder, in IndProp]
T:215 [binder, in IndProp]
T:217 [binder, in IndProp]
T:221 [binder, in IndProp]
T:225 [binder, in IndProp]
T:229 [binder, in IndProp]
T:23 [binder, in AltAuto]
T:233 [binder, in IndProp]
T:236 [binder, in IndProp]
T:239 [binder, in IndProp]
T:243 [binder, in IndProp]
T:248 [binder, in IndProp]
T:252 [binder, in IndProp]
T:257 [binder, in IndProp]
T:261 [binder, in IndProp]
T:263 [binder, in IndProp]
T:265 [binder, in IndProp]
T:270 [binder, in IndProp]
T:274 [binder, in IndProp]
T:279 [binder, in IndProp]
T:286 [binder, in IndProp]
T:30 [binder, in Auto]
T:33 [binder, in ImpParser]
T:34 [binder, in ImpParser]
T:35 [binder, in AltAuto]
T:38 [binder, in AltAuto]
T:41 [binder, in ImpParser]
T:42 [binder, in AltAuto]
T:44 [binder, in ImpParser]
t:45 [binder, in ImpParser]
T:45 [binder, in AltAuto]
t:46 [binder, in IndPrinciples]
t:47 [binder, in IndPrinciples]
t:49 [binder, in ImpParser]
T:5 [binder, in AltAuto]
t:88 [binder, in AltAuto]
t:9 [binder, in IndPrinciples]

## U

uncurry [definition, in ProofObjects]
Union [constructor, in IndProp]
union_disj [lemma, in IndProp]
update [definition, in Maps]
update_permute [lemma, in Maps]
update_same [lemma, in Maps]
update_shadow [lemma, in Maps]
update_neq [lemma, in Maps]
update_eq [lemma, in Maps]
update_example4 [definition, in Maps]
update_example3 [definition, in Maps]
update_example2 [definition, in Maps]
update_example1 [definition, in Maps]
u:123 [binder, in ImpParser]
U:123 [binder, in AltAuto]
u:129 [binder, in ImpParser]
U:129 [binder, in AltAuto]
u:132 [binder, in ImpParser]
U:16 [binder, in Auto]
u:165 [binder, in ImpParser]
u:179 [binder, in ImpParser]
U:22 [binder, in Auto]
U:31 [binder, in Auto]
u:71 [binder, in ImpParser]

## V

value:135 [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:131 [binder, in Lists]
v:14 [binder, in Maps]
v:142 [binder, in Lists]
v:18 [binder, in Maps]
v:22 [binder, in Maps]
v:27 [binder, in Maps]
v:47 [binder, in Maps]
v:49 [binder, in Lists]
v:52 [binder, in Lists]
v:53 [binder, in Maps]
v:54 [binder, in Lists]
v:57 [binder, in Lists]
v:58 [binder, in Maps]
v:60 [binder, in Lists]
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]
white [constructor, in ImpParser]
wrong_ev_SS [constructor, in IndProp]
wrong_ev_0 [constructor, in IndProp]
wrong_ev [inductive, in IndProp]
W:32 [binder, in Auto]

## X

X [definition, in Imp]
xo:154 [binder, in Poly]
xs:104 [binder, in ImpParser]
xs:106 [binder, in ImpParser]
xs:146 [binder, in ImpParser]
xs:148 [binder, in ImpParser]
xs:15 [binder, in ImpParser]
xs:18 [binder, in ImpParser]
xs:38 [binder, in ImpParser]
xs:47 [binder, in ImpParser]
xs:50 [binder, in ImpParser]
xs:51 [binder, in ImpParser]
xs:53 [binder, in ImpParser]
xs:58 [binder, in ImpParser]
xs:60 [binder, in ImpParser]
xs:62 [binder, in ImpParser]
xs:90 [binder, in ImpParser]
XtimesYinZ [definition, in Imp]
x':15 [binder, in Maps]
x1:123 [binder, in Lists]
x1:25 [binder, in Maps]
x1:40 [binder, in Maps]
x1:56 [binder, in Maps]
x1:70 [binder, in Maps]
x2:124 [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 Rel]
x:1 [binder, in Maps]
X:10 [binder, in Poly]
X:100 [binder, in Tactics]
x:101 [binder, in Logic]
X:101 [binder, in Poly]
X:102 [binder, in ProofObjects]
x:103 [binder, in ProofObjects]
x:104 [binder, in Logic]
x:104 [binder, in Poly]
x:105 [binder, in Tactics]
X:105 [binder, in Poly]
X:106 [binder, in ProofObjects]
x:106 [binder, in Logic]
x:107 [binder, in ProofObjects]
x:107 [binder, in Tactics]
X:11 [binder, in Poly]
X:111 [binder, in Poly]
X:113 [binder, in Poly]
X:114 [binder, in Tactics]
X:114 [binder, in Poly]
X:116 [binder, in ProofObjects]
x:116 [binder, in Logic]
X:117 [binder, in Poly]
X:118 [binder, in Poly]
X:119 [binder, in Tactics]
X:12 [binder, in Poly]
X:121 [binder, in IndPrinciples]
x:122 [binder, in Logic]
X:123 [binder, in Poly]
x:124 [binder, in Basics]
X:124 [binder, in IndPrinciples]
x:127 [binder, in Lists]
X:128 [binder, in IndPrinciples]
x:129 [binder, in Auto]
X:129 [binder, in Poly]
x:13 [binder, in Poly]
x:13 [binder, in Maps]
X:130 [binder, in IndPrinciples]
x:131 [binder, in Auto]
x:132 [binder, in Poly]
X:133 [binder, in Poly]
x:134 [binder, in Lists]
X:134 [binder, in Tactics]
x:134 [binder, in Logic]
x:136 [binder, in Lists]
x:136 [binder, in Tactics]
x:136 [binder, in Auto]
X:139 [binder, in Tactics]
x:139 [binder, in Poly]
X:14 [binder, in Rel]
x:141 [binder, in Lists]
x:141 [binder, in Auto]
X:141 [binder, in ImpParser]
X:141 [binder, in Poly]
x:141 [binder, in AltAuto]
x:142 [binder, in AltAuto]
X:143 [binder, in Tactics]
x:143 [binder, in AltAuto]
x:144 [binder, in Lists]
X:145 [binder, in Poly]
x:146 [binder, in Auto]
X:147 [binder, in Tactics]
x:148 [binder, in Logic]
x:149 [binder, in Lists]
X:150 [binder, in Tactics]
x:151 [binder, in Auto]
x:151 [binder, in Logic]
X:151 [binder, in Poly]
x:154 [binder, in Logic]
X:156 [binder, in Poly]
x:158 [binder, in Logic]
X:163 [binder, in Poly]
x:164 [binder, in Poly]
X:166 [binder, in Poly]
x:168 [binder, in Logic]
x:169 [binder, in Logic]
X:169 [binder, in Poly]
X:17 [binder, in Rel]
X:17 [binder, in IndProp]
x:17 [binder, in Maps]
x:170 [binder, in Logic]
x:171 [binder, in Logic]
X:171 [binder, in Poly]
X:172 [binder, in Logic]
x:174 [binder, in Imp]
X:175 [binder, in Poly]
x:176 [binder, in Logic]
x:178 [binder, in Logic]
x:179 [binder, in Logic]
x:179 [binder, in Poly]
X:180 [binder, in Logic]
X:181 [binder, in Poly]
X:185 [binder, in Logic]
X:186 [binder, in Poly]
X:187 [binder, in Logic]
x:187 [binder, in IndProp]
x:19 [binder, in Poly]
x:190 [binder, in Poly]
X:192 [binder, in Poly]
X:194 [binder, in AltAuto]
X:197 [binder, in Poly]
X:198 [binder, in Poly]
X:2 [binder, in Rel]
x:200 [binder, in Poly]
X:201 [binder, in Poly]
x:202 [binder, in Logic]
x:203 [binder, in Poly]
x:204 [binder, in Imp]
X:204 [binder, in Poly]
x:206 [binder, in Poly]
X:207 [binder, in Poly]
X:209 [binder, in AltAuto]
X:21 [binder, in Poly]
x:21 [binder, in IndProp]
x:21 [binder, in Maps]
X:210 [binder, in Poly]
X:211 [binder, in AltAuto]
X:213 [binder, in Poly]
X:215 [binder, in Logic]
X:219 [binder, in Logic]
x:222 [binder, in Logic]
x:224 [binder, in Imp]
X:229 [binder, in Logic]
x:23 [binder, in IndProp]
x:231 [binder, in Logic]
x:232 [binder, in Logic]
x:232 [binder, in IndProp]
X:24 [binder, in Tactics]
x:25 [binder, in Poly]
X:26 [binder, in ImpParser]
X:26 [binder, in Poly]
X:26 [binder, in IndProp]
X:26 [binder, in AltAuto]
x:266 [binder, in Imp]
X:27 [binder, in Rel]
x:27 [binder, in Poly]
x:284 [binder, in Imp]
x:29 [binder, in ImpParser]
X:29 [binder, in AltAuto]
x:295 [binder, in IndProp]
x:30 [binder, in Maps]
x:309 [binder, in IndProp]
X:31 [binder, in Rel]
X:31 [binder, in Poly]
X:316 [binder, in IndProp]
X:319 [binder, in IndProp]
X:32 [binder, in Poly]
X:322 [binder, in IndProp]
X:329 [binder, in IndProp]
X:33 [binder, in Poly]
X:332 [binder, in IndProp]
X:334 [binder, in IndProp]
X:336 [binder, in IndProp]
X:338 [binder, in IndProp]
x:339 [binder, in IndProp]
x:34 [binder, in Poly]
X:343 [binder, in IndProp]
X:346 [binder, in IndProp]
x:349 [binder, in IndProp]
x:35 [binder, in Maps]
X:38 [binder, in Rel]
X:38 [binder, in Poly]
x:39 [binder, in Poly]
x:4 [binder, in Rel]
X:40 [binder, in Rel]
x:41 [binder, in Auto]
X:42 [binder, in Rel]
x:42 [binder, in Auto]
x:43 [binder, in Auto]
X:43 [binder, in Poly]
x:46 [binder, in Poly]
x:46 [binder, in Maps]
x:48 [binder, in Rel]
X:48 [binder, in Poly]
X:48 [binder, in IndPrinciples]
x:49 [binder, in Maps]
X:5 [binder, in Poly]
x:51 [binder, in Rel]
x:51 [binder, in IndPrinciples]
x:52 [binder, in Rel]
x:52 [binder, in Maps]
X:53 [binder, in Poly]
X:54 [binder, in IndPrinciples]
X:55 [binder, in Tactics]
x:56 [binder, in Tactics]
X:57 [binder, in Poly]
x:6 [binder, in Maps]
x:60 [binder, in Auto]
x:61 [binder, in Rel]
x:61 [binder, in Auto]
X:61 [binder, in Poly]
x:61 [binder, in Maps]
X:62 [binder, in Poly]
x:64 [binder, in ProofObjects]
X:64 [binder, in Tactics]
x:65 [binder, in ProofObjects]
x:65 [binder, in Tactics]
x:66 [binder, in Maps]
X:68 [binder, in Rel]
x:68 [binder, in Auto]
X:68 [binder, in Poly]
x:70 [binder, in Rel]
X:71 [binder, in Poly]
X:72 [binder, in Rel]
x:73 [binder, in AltAuto]
x:74 [binder, in Rel]
x:74 [binder, in Tactics]
X:74 [binder, in Poly]
X:76 [binder, in Poly]
X:77 [binder, in ProofObjects]
X:77 [binder, in Rel]
x:77 [binder, in Maps]
x:79 [binder, in Rel]
x:8 [binder, in Logic]
x:8 [binder, in Poly]
x:80 [binder, in ProofObjects]
x:80 [binder, in Poly]
x:80 [binder, in AltAuto]
X:81 [binder, in ProofObjects]
x:82 [binder, in ProofObjects]
X:82 [binder, in Poly]
x:82 [binder, in Maps]
X:83 [binder, in ProofObjects]
x:84 [binder, in ProofObjects]
x:84 [binder, in Logic]
x:85 [binder, in Auto]
X:86 [binder, in Poly]
X:86 [binder, in AltAuto]
X:89 [binder, in Logic]
X:90 [binder, in Poly]
x:91 [binder, in Logic]
x:92 [binder, in Logic]
X:93 [binder, in ProofObjects]
X:93 [binder, in Logic]
x:93 [binder, in AltAuto]
x:96 [binder, in Logic]
x:97 [binder, in Logic]
X:97 [binder, in Poly]
x:97 [binder, in AltAuto]
X:98 [binder, in ProofObjects]
x:98 [binder, in Logic]
x:99 [binder, in ProofObjects]

## Y

Y [definition, in Imp]
y1:5 [binder, in Rel]
y2:6 [binder, in Rel]
y:100 [binder, in ProofObjects]
y:104 [binder, in ProofObjects]
y:108 [binder, in ProofObjects]
Y:115 [binder, in Tactics]
Y:120 [binder, in Tactics]
y:121 [binder, in Logic]
y:130 [binder, in Auto]
y:132 [binder, in Auto]
Y:134 [binder, in Poly]
y:135 [binder, in Auto]
y:137 [binder, in Auto]
y:140 [binder, in Auto]
y:142 [binder, in Auto]
Y:142 [binder, in Poly]
y:145 [binder, in Lists]
y:145 [binder, in Auto]
Y:146 [binder, in Poly]
y:147 [binder, in Auto]
y:149 [binder, in Logic]
y:150 [binder, in Lists]
y:150 [binder, in Auto]
y:152 [binder, in Auto]
y:152 [binder, in Logic]
Y:152 [binder, in Poly]
y:155 [binder, in Logic]
Y:157 [binder, in Poly]
Y:172 [binder, in Poly]
Y:173 [binder, in Logic]
Y:176 [binder, in Poly]
y:180 [binder, in Poly]
Y:182 [binder, in Poly]
Y:187 [binder, in Poly]
y:191 [binder, in Poly]
Y:193 [binder, in Poly]
y:20 [binder, in Poly]
y:203 [binder, in Logic]
y:22 [binder, in IndProp]
y:24 [binder, in IndProp]
y:49 [binder, in Rel]
y:53 [binder, in Rel]
y:57 [binder, in Tactics]
y:64 [binder, in Rel]
y:66 [binder, in Tactics]
y:7 [binder, in Maps]
y:71 [binder, in Rel]
y:74 [binder, in AltAuto]
y:75 [binder, in Rel]
y:75 [binder, in Tactics]
Y:77 [binder, in Poly]
y:80 [binder, in Rel]
y:81 [binder, in Poly]
y:81 [binder, in AltAuto]
Y:83 [binder, in Poly]
Y:87 [binder, in Poly]
y:9 [binder, in Logic]
Y:91 [binder, in Poly]
y:94 [binder, in AltAuto]
Y:98 [binder, in Poly]
y:98 [binder, in AltAuto]

## Z

Z [definition, in Imp]
Z [constructor, in Basics]
Z [constructor, in Induction]
zero_nbeq_plus_1 [lemma, in Basics]
zero_not_one [lemma, in Logic]
zero_or_succ [lemma, in Logic]
zero_neqb_S [lemma, in Induction]
zero:209 [binder, in Poly]
zero:212 [binder, in Poly]
zero:215 [binder, in Poly]
z:150 [binder, in Logic]
z:153 [binder, in Logic]
z:156 [binder, in Logic]
Z:177 [binder, in Poly]
Z:183 [binder, in Poly]
Z:188 [binder, in Poly]
Z:194 [binder, in Poly]
z:25 [binder, in IndProp]
z:54 [binder, in Rel]
z:58 [binder, in Tactics]
z:65 [binder, in Rel]
z:67 [binder, in Tactics]
z:76 [binder, in Rel]

## 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]
( _ , _ , .. , _ ) (core_scope) [notation, in IndPrinciples]
_ * _ (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]
_ - _ (nat_scope) [notation, in Basics]
_ + _ (nat_scope) [notation, in Basics]
_ <=? _ (nat_scope) [notation, in ImpParser]
_ * _ (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]
LETOPT _ <== _ IN _ [notation, in ImpCEvalFun]
true [notation, in Imp]
TRY _ OR _ [notation, in ImpParser]
'_' !-> _ [notation, in Maps]
' _ <- _ ;; _ [notation, in ImpParser]
( _ , _ ) [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]

## B

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

## E

_ == _ (type_scope) [in ProofObjects]

## I

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

## N

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

## P

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

## R

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

## other

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]
( _ , _ , .. , _ ) (core_scope) [in IndPrinciples]
_ * _ (nat_scope) [in Basics]
_ + _ (nat_scope) [in Basics]
_ <? _ (nat_scope) [in Basics]
_ <=? _ (nat_scope) [in Basics]
_ =? _ (nat_scope) [in Basics]
_ * _ (nat_scope) [in Basics]
_ - _ (nat_scope) [in Basics]
_ + _ (nat_scope) [in Basics]
_ <=? _ (nat_scope) [in ImpParser]
_ * _ (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]
LETOPT _ <== _ IN _ [in ImpCEvalFun]
true [in Imp]
TRY _ OR _ [in ImpParser]
'_' !-> _ [in Maps]
' _ <- _ ;; _ [in ImpParser]
( _ , _ ) [in Poly]
[ _ ; .. ; _ ] [in Poly]
[ ] [in Poly]

# Binder Index

## A

acc:17 [in ImpParser]
acc:36 [in ImpParser]
ae:33 [in Imp]
a1:118 [in Imp]
a1:12 [in Imp]
a1:120 [in Imp]
a1:122 [in Imp]
a1:124 [in Imp]
a1:129 [in Imp]
a1:133 [in Imp]
a1:137 [in Imp]
a1:14 [in Imp]
a1:141 [in Imp]
a1:149 [in Imp]
a1:151 [in Imp]
a1:153 [in Imp]
a1:159 [in Imp]
a1:16 [in Imp]
a1:163 [in Imp]
a1:167 [in Imp]
a1:175 [in Imp]
a1:177 [in Imp]
a1:179 [in Imp]
a1:18 [in Imp]
a1:183 [in Imp]
a1:185 [in Imp]
a1:187 [in Imp]
a1:189 [in Imp]
a1:211 [in Logic]
a1:4 [in Imp]
a1:6 [in Imp]
a1:8 [in Imp]
a1:83 [in Auto]
a2:119 [in Imp]
a2:121 [in Imp]
a2:123 [in Imp]
a2:125 [in Imp]
a2:13 [in Imp]
a2:130 [in Imp]
a2:134 [in Imp]
a2:138 [in Imp]
a2:142 [in Imp]
a2:15 [in Imp]
a2:150 [in Imp]
a2:152 [in Imp]
a2:154 [in Imp]
a2:160 [in Imp]
a2:164 [in Imp]
a2:168 [in Imp]
a2:17 [in Imp]
a2:176 [in Imp]
a2:178 [in Imp]
a2:180 [in Imp]
a2:184 [in Imp]
a2:186 [in Imp]
a2:188 [in Imp]
a2:19 [in Imp]
a2:190 [in Imp]
a2:212 [in Logic]
a2:5 [in Imp]
a2:7 [in Imp]
a2:9 [in Imp]
A:10 [in Logic]
a:103 [in IndProp]
A:105 [in Logic]
a:107 [in Imp]
a:109 [in Imp]
A:11 [in Logic]
A:11 [in Maps]
A:112 [in Logic]
A:114 [in ProofObjects]
A:117 [in Logic]
A:123 [in Logic]
a:126 [in Logic]
A:157 [in Logic]
a:16 [in Rel]
A:16 [in Maps]
a:163 [in AltAuto]
a:167 [in AltAuto]
a:171 [in AltAuto]
a:18 [in Tactics]
a:19 [in Rel]
A:19 [in Maps]
a:195 [in Imp]
A:204 [in Logic]
a:205 [in Imp]
A:209 [in Logic]
a:222 [in Imp]
a:23 [in Imp]
A:23 [in Maps]
a:28 [in Tactics]
A:28 [in Maps]
a:285 [in Imp]
a:29 [in Rel]
a:29 [in Imp]
a:29 [in IndProp]
a:32 [in Imp]
a:32 [in IndProp]
a:33 [in Rel]
A:33 [in Maps]
a:34 [in Tactics]
A:34 [in Logic]
a:354 [in IndProp]
a:356 [in IndProp]
a:359 [in IndProp]
A:36 [in Maps]
a:366 [in IndProp]
a:37 [in Imp]
a:375 [in IndProp]
a:38 [in Imp]
a:385 [in IndProp]
a:389 [in IndProp]
a:391 [in IndProp]
A:42 [in Maps]
A:43 [in Maps]
A:44 [in Rel]
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:59 [in Rel]
A:59 [in Maps]
A:60 [in ProofObjects]
A:64 [in Poly]
A:64 [in Maps]
A:68 [in AltAuto]
A:68 [in Maps]
a:69 [in Auto]
A:71 [in Tactics]
A:74 [in Maps]
A:75 [in AltAuto]
A:79 [in Maps]
A:8 [in Maps]
A:9 [in Maps]

## B

base:71 [in Basics]
bv:114 [in Imp]
b0:38 [in Basics]
b1:12 [in Basics]
b1:16 [in Basics]
b1:18 [in Basics]
b1:192 [in Imp]
b1:198 [in Logic]
b1:20 [in Basics]
b1:200 [in Logic]
b1:21 [in Imp]
b1:22 [in Basics]
b1:39 [in Basics]
b1:9 [in Basics]
b2:10 [in Basics]
b2:13 [in Basics]
b2:17 [in Basics]
b2:19 [in Basics]
b2:193 [in Imp]
b2:199 [in Logic]
b2:201 [in Logic]
b2:21 [in Basics]
b2:22 [in Imp]
b2:23 [in Basics]
b2:40 [in Basics]
b3:24 [in Basics]
b3:41 [in Basics]
b:101 [in Auto]
b:104 [in IndProp]
b:105 [in Basics]
b:106 [in Basics]
b:107 [in Auto]
b:108 [in Basics]
b:110 [in Basics]
b:111 [in Auto]
b:113 [in Imp]
b:113 [in Basics]
B:113 [in Logic]
b:116 [in Auto]
b:116 [in Basics]
B:118 [in Logic]
B:12 [in Logic]
b:125 [in Basics]
b:126 [in Basics]
b:128 [in Tactics]
b:13 [in AltAuto]
b:15 [in Basics]
b:151 [in Lists]
b:160 [in Poly]
b:164 [in AltAuto]
b:168 [in AltAuto]
b:172 [in AltAuto]
b:177 [in AltAuto]
b:178 [in AltAuto]
b:181 [in AltAuto]
b:182 [in AltAuto]
b:184 [in AltAuto]
b:187 [in AltAuto]
b:189 [in AltAuto]
b:19 [in Tactics]
b:191 [in Imp]
b:191 [in AltAuto]
b:199 [in Imp]
b:20 [in Rel]
b:20 [in Imp]
b:208 [in Imp]
b:211 [in Imp]
b:225 [in Logic]
b:232 [in Imp]
b:237 [in Imp]
b:240 [in Imp]
b:246 [in Imp]
b:26 [in Imp]
b:288 [in Imp]
b:29 [in Tactics]
b:291 [in Imp]
b:3 [in Poly]
b:30 [in Rel]
b:30 [in IndPrinciples]
b:30 [in IndProp]
b:302 [in Imp]
b:302 [in IndProp]
b:304 [in IndProp]
b:307 [in Imp]
b:31 [in IndPrinciples]
b:320 [in Imp]
b:33 [in IndProp]
b:34 [in Rel]
b:35 [in Tactics]
B:35 [in Logic]
b:357 [in IndProp]
b:38 [in IndPrinciples]
b:41 [in Imp]
b:43 [in Imp]
b:44 [in IndPrinciples]
b:45 [in Imp]
b:45 [in Induction]
b:48 [in Induction]
b:53 [in Logic]
b:54 [in Logic]
B:6 [in Logic]
b:62 [in Logic]
b:67 [in Induction]
B:69 [in AltAuto]
b:7 [in Basics]
b:71 [in Induction]
B:72 [in Tactics]
b:72 [in Auto]
b:73 [in Induction]
b:74 [in Induction]
b:75 [in Auto]
b:75 [in Induction]
b:76 [in Induction]
B:76 [in AltAuto]
b:78 [in Auto]
b:78 [in Induction]
b:82 [in Tactics]
b:93 [in Auto]
b:98 [in Auto]

## C

cls:16 [in ImpParser]
contra:74 [in ProofObjects]
count:14 [in Poly]
count:26 [in Lists]
count:28 [in Poly]
count:35 [in Poly]
count:40 [in Poly]
c':174 [in ImpParser]
c':186 [in ImpParser]
c1:206 [in Imp]
c1:209 [in Imp]
c1:225 [in Imp]
c1:233 [in Imp]
c1:238 [in Imp]
c1:286 [in Imp]
c1:289 [in Imp]
c1:311 [in Imp]
c1:316 [in Imp]
c1:70 [in Auto]
c1:73 [in Auto]
c1:86 [in Auto]
c1:94 [in Auto]
c1:99 [in Auto]
c2:100 [in Auto]
c2:207 [in Imp]
c2:210 [in Imp]
c2:226 [in Imp]
c2:234 [in Imp]
c2:239 [in Imp]
c2:287 [in Imp]
c2:290 [in Imp]
c2:312 [in Imp]
c2:317 [in Imp]
c2:71 [in Auto]
c2:74 [in Auto]
c2:87 [in Auto]
c2:95 [in Auto]
c:1 [in Auto]
c:1 [in ImpParser]
c:103 [in Auto]
c:107 [in Basics]
c:108 [in Auto]
c:109 [in Basics]
c:11 [in ImpParser]
c:111 [in Basics]
c:112 [in Auto]
c:114 [in Basics]
c:117 [in Auto]
c:117 [in Basics]
c:118 [in Auto]
c:122 [in Auto]
c:127 [in Basics]
c:14 [in AltAuto]
c:15 [in ImpCEvalFun]
c:162 [in ImpParser]
c:165 [in AltAuto]
c:169 [in AltAuto]
c:171 [in ImpParser]
c:173 [in AltAuto]
c:179 [in AltAuto]
c:183 [in ImpParser]
c:183 [in AltAuto]
c:185 [in AltAuto]
c:188 [in AltAuto]
c:190 [in AltAuto]
c:192 [in AltAuto]
c:2 [in ImpCEvalFun]
c:20 [in Tactics]
c:21 [in Rel]
c:21 [in ImpCEvalFun]
c:212 [in Imp]
c:214 [in Imp]
c:242 [in Imp]
c:247 [in Imp]
c:248 [in Imp]
c:257 [in Imp]
c:262 [in Imp]
c:29 [in ImpCEvalFun]
c:292 [in Imp]
c:298 [in Imp]
c:3 [in ImpParser]
c:30 [in Tactics]
c:30 [in Basics]
c:30 [in ImpCEvalFun]
c:303 [in Imp]
c:308 [in Imp]
c:31 [in IndProp]
c:32 [in Basics]
c:321 [in Imp]
c:325 [in Imp]
c:34 [in IndProp]
c:36 [in Tactics]
c:38 [in ImpCEvalFun]
c:39 [in ImpCEvalFun]
c:43 [in ImpCEvalFun]
c:44 [in Auto]
c:46 [in Imp]
c:47 [in ImpCEvalFun]
c:48 [in Auto]
c:49 [in Induction]
c:5 [in ImpParser]
c:52 [in Auto]
c:56 [in Auto]
c:62 [in Auto]
c:7 [in ImpParser]
c:7 [in ImpCEvalFun]
C:70 [in AltAuto]
c:76 [in Auto]
c:77 [in Auto]
C:77 [in AltAuto]

## D

default:119 [in Lists]
default:36 [in Lists]
d:112 [in Basics]
d:114 [in Lists]
d:133 [in Lists]
d:137 [in Lists]
d:140 [in Lists]
d:143 [in Lists]
d:166 [in AltAuto]
d:170 [in AltAuto]
d:174 [in AltAuto]
d:186 [in AltAuto]
d:193 [in AltAuto]
d:21 [in Tactics]
d:3 [in Basics]
d:31 [in Tactics]
d:37 [in Tactics]
d:388 [in IndProp]
d:56 [in ImpParser]

## E

eqb:205 [in Logic]
eqb:210 [in Logic]
es:139 [in ImpParser]
es:84 [in ImpParser]
es:98 [in ImpParser]
evPO:103 [in IndPrinciples]
evPS:105 [in IndPrinciples]
e':114 [in ImpParser]
e':117 [in ImpParser]
e0:100 [in ImpParser]
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:111 [in ImpParser]
e:120 [in ImpParser]
e:126 [in ImpParser]
e:136 [in ImpParser]
E:14 [in ProofObjects]
e:156 [in ImpParser]
e:159 [in ImpParser]
e:168 [in ImpParser]
e:22 [in Tactics]
e:271 [in Imp]
e:278 [in Imp]
e:281 [in Imp]
e:32 [in Tactics]
e:38 [in Tactics]
e:68 [in ImpParser]
e:81 [in ImpParser]
e:88 [in ImpParser]
e:92 [in ImpParser]
e:95 [in ImpParser]

## F

foo:49 [in Basics]
f:114 [in Logic]
f:115 [in Poly]
f:119 [in Logic]
f:123 [in Basics]
f:127 [in Tactics]
f:135 [in Poly]
f:143 [in Poly]
f:147 [in Poly]
f:153 [in Poly]
f:158 [in Poly]
f:173 [in Poly]
f:174 [in Logic]
f:178 [in Poly]
f:184 [in Poly]
f:189 [in Poly]
f:195 [in Poly]
f:199 [in Poly]
f:202 [in Poly]
f:205 [in Poly]
f:23 [in Tactics]
f:33 [in Tactics]
f:39 [in Tactics]
f:41 [in IndPrinciples]
f:58 [in IndPrinciples]
f:7 [in Logic]
f:71 [in AltAuto]
f:73 [in Tactics]
f:78 [in AltAuto]
f:95 [in Lists]

## G

g1:147 [in Basics]
g2:148 [in Basics]
g:153 [in Basics]
g:154 [in Basics]
g:156 [in Basics]
g:158 [in Basics]
g:160 [in Basics]
g:162 [in Basics]
g:175 [in Logic]
g:42 [in IndPrinciples]
g:72 [in AltAuto]
g:79 [in AltAuto]

## H

Heq:89 [in ProofObjects]
Hm:70 [in IndProp]
Hm:77 [in IndPrinciples]
Hn:69 [in IndProp]
Hn:76 [in IndPrinciples]
HPQ:51 [in ProofObjects]
HPR:52 [in ProofObjects]
HP:42 [in ProofObjects]
HQR:53 [in ProofObjects]
Hrest:67 [in Rel]
Hxy:55 [in Rel]
Hxy:66 [in Rel]
Hyz:56 [in Rel]
H1:192 [in IndProp]
H1:197 [in IndProp]
H1:206 [in IndProp]
H1:78 [in Imp]
H1:84 [in Imp]
H1:90 [in Imp]
h1:94 [in ProofObjects]
H2:193 [in IndProp]
H2:201 [in IndProp]
H2:207 [in IndProp]
H2:79 [in Imp]
H2:85 [in Imp]
H2:91 [in Imp]
h2:95 [in ProofObjects]
H:11 [in ProofObjects]
H:140 [in IndProp]
H:144 [in IndProp]
H:148 [in IndProp]
H:152 [in IndProp]
H:27 [in ProofObjects]
H:299 [in IndProp]
H:300 [in IndProp]
H:4 [in ProofObjects]
H:41 [in IndProp]
H:50 [in Rel]
H:82 [in IndProp]
h:87 [in AltAuto]
H:88 [in IndPrinciples]
H:9 [in ProofObjects]

## I

i1:34 [in ImpCEvalFun]
i2:35 [in ImpCEvalFun]
i:130 [in Lists]
i:153 [in ImpParser]
i:16 [in ImpCEvalFun]
i:22 [in ImpCEvalFun]
i:33 [in ImpCEvalFun]
i:42 [in ImpCEvalFun]
i:46 [in ImpCEvalFun]
i:77 [in ImpParser]
i:8 [in ImpCEvalFun]

## J

j:60 [in Tactics]
j:69 [in Tactics]

## K

k':57 [in IndProp]
k':59 [in IndProp]
k:165 [in Poly]
k:188 [in Logic]
k:190 [in Logic]

## L

late_days:161 [in Basics]
late_days:159 [in Basics]
late_days:157 [in Basics]
late_days:155 [in Basics]
lf:138 [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]
lst:195 [in AltAuto]
lst:207 [in AltAuto]
lst:210 [in AltAuto]
lst:212 [in AltAuto]
lx:92 [in Poly]
ly:93 [in Poly]
l':125 [in Logic]
l':17 [in Tactics]
l1:122 [in Tactics]
l1:138 [in Basics]
l1:159 [in IndProp]
l1:162 [in IndProp]
l1:181 [in Logic]
l1:206 [in Logic]
l1:213 [in Logic]
l1:32 [in Lists]
l1:325 [in IndProp]
l1:341 [in IndProp]
l1:347 [in IndProp]
l1:35 [in IndProp]
l1:46 [in Lists]
l1:49 [in Poly]
l1:68 [in Lists]
l1:69 [in Poly]
l1:72 [in Poly]
l1:75 [in Lists]
l1:79 [in Lists]
l1:82 [in Lists]
l1:86 [in Lists]
l1:88 [in Lists]
l1:99 [in Lists]
l2:100 [in Lists]
l2:123 [in Tactics]
l2:139 [in Basics]
l2:160 [in IndProp]
l2:163 [in IndProp]
l2:182 [in Logic]
l2:207 [in Logic]
l2:214 [in Logic]
l2:326 [in IndProp]
l2:33 [in Lists]
l2:342 [in IndProp]
l2:348 [in IndProp]
l2:36 [in IndProp]
l2:47 [in Lists]
l2:50 [in Poly]
l2:69 [in Lists]
l2:70 [in Poly]
l2:73 [in Poly]
l2:76 [in Lists]
l2:80 [in Lists]
l2:83 [in Lists]
l2:87 [in Lists]
l2:89 [in Lists]
l3:161 [in IndProp]
l3:164 [in IndProp]
l3:37 [in IndProp]
l3:70 [in Lists]
l3:84 [in Lists]
l4:85 [in Lists]
l:101 [in Lists]
l:101 [in Tactics]
l:106 [in Poly]
l:107 [in Logic]
l:109 [in Lists]
l:112 [in Poly]
l:115 [in Logic]
l:116 [in Tactics]
l:117 [in Lists]
l:118 [in Lists]
l:120 [in Logic]
l:120 [in Poly]
l:121 [in Tactics]
l:124 [in Logic]
l:124 [in Poly]
l:125 [in Poly]
l:127 [in Poly]
l:128 [in Poly]
l:129 [in Logic]
l:131 [in Poly]
l:133 [in Logic]
l:134 [in Basics]
l:136 [in Poly]
l:137 [in Tactics]
l:141 [in Tactics]
l:142 [in Basics]
l:144 [in Poly]
l:145 [in Tactics]
l:148 [in Poly]
l:149 [in Tactics]
l:149 [in Basics]
l:15 [in IndPrinciples]
l:151 [in Basics]
l:152 [in Tactics]
l:152 [in Basics]
l:158 [in IndProp]
l:159 [in Logic]
l:159 [in Poly]
l:16 [in Tactics]
l:160 [in Logic]
l:161 [in Logic]
l:162 [in Logic]
l:163 [in Logic]
l:164 [in Logic]
l:167 [in Poly]
l:170 [in Poly]
l:174 [in Poly]
l:18 [in IndPrinciples]
l:186 [in Logic]
l:19 [in IndPrinciples]
l:209 [in IndProp]
l:217 [in Logic]
l:22 [in IndPrinciples]
l:221 [in Logic]
l:24 [in Lists]
l:25 [in IndPrinciples]
l:267 [in IndProp]
l:273 [in IndProp]
l:29 [in Lists]
l:294 [in IndProp]
l:308 [in IndProp]
l:311 [in IndProp]
l:315 [in IndProp]
l:324 [in IndProp]
l:333 [in IndProp]
l:335 [in IndProp]
l:337 [in IndProp]
l:340 [in IndProp]
l:37 [in Lists]
l:39 [in Lists]
l:4 [in Poly]
l:41 [in Lists]
l:43 [in Lists]
l:45 [in Lists]
l:47 [in Poly]
l:54 [in Poly]
l:57 [in IndPrinciples]
l:58 [in Poly]
l:59 [in Tactics]
l:63 [in Poly]
l:65 [in Poly]
l:66 [in Lists]
l:67 [in Lists]
l:68 [in Tactics]
l:71 [in Lists]
l:74 [in Lists]
l:75 [in Poly]
l:77 [in Lists]
l:78 [in Lists]
l:81 [in Lists]
l:9 [in Poly]
l:91 [in Lists]
l:99 [in Poly]

## M

m':76 [in Maps]
m':81 [in Maps]
m1:143 [in Basics]
m2:144 [in Basics]
m:100 [in Logic]
m:100 [in IndProp]
m:102 [in IndProp]
m:102 [in AltAuto]
m:103 [in Logic]
m:104 [in Tactics]
m:105 [in AltAuto]
m:106 [in Tactics]
m:107 [in IndProp]
m:108 [in AltAuto]
m:109 [in Tactics]
m:109 [in IndProp]
m:11 [in Induction]
m:110 [in Tactics]
m:111 [in Tactics]
m:113 [in IndProp]
m:116 [in IndProp]
m:119 [in IndProp]
m:12 [in Maps]
m:120 [in Basics]
m:122 [in IndProp]
m:125 [in IndProp]
m:127 [in IndProp]
m:129 [in IndProp]
m:130 [in Tactics]
m:131 [in IndProp]
m:132 [in Lists]
m:132 [in Tactics]
m:133 [in IndProp]
m:134 [in AltAuto]
m:135 [in Basics]
m:136 [in AltAuto]
m:137 [in IndProp]
m:139 [in AltAuto]
m:14 [in Logic]
m:141 [in IndProp]
m:145 [in IndProp]
m:145 [in AltAuto]
m:147 [in Logic]
m:149 [in IndProp]
m:15 [in Tactics]
m:153 [in IndProp]
m:155 [in AltAuto]
m:16 [in Lists]
m:16 [in Logic]
m:16 [in IndProp]
m:16 [in AltAuto]
m:162 [in AltAuto]
m:167 [in Basics]
m:167 [in Logic]
m:169 [in Basics]
m:18 [in Logic]
m:196 [in Logic]
m:2 [in Tactics]
m:2 [in Logic]
m:20 [in Logic]
m:20 [in Induction]
m:20 [in Maps]
m:214 [in AltAuto]
m:217 [in AltAuto]
m:218 [in Poly]
m:22 [in Logic]
m:22 [in Induction]
m:220 [in Poly]
m:220 [in AltAuto]
m:222 [in Poly]
m:222 [in AltAuto]
m:227 [in Logic]
m:23 [in Rel]
m:24 [in Poly]
m:24 [in Maps]
m:25 [in Rel]
m:26 [in Tactics]
m:26 [in Induction]
m:272 [in IndProp]
m:275 [in IndProp]
m:285 [in IndProp]
m:29 [in Maps]
m:292 [in IndProp]
m:3 [in Maps]
m:30 [in Induction]
m:306 [in IndProp]
m:33 [in Logic]
m:33 [in Induction]
m:33 [in AltAuto]
m:34 [in Auto]
m:34 [in Maps]
m:36 [in Rel]
m:36 [in Auto]
m:36 [in Induction]
m:37 [in Maps]
m:38 [in Logic]
m:38 [in Induction]
m:380 [in IndProp]
m:39 [in Imp]
m:39 [in Auto]
m:394 [in IndProp]
m:4 [in Tactics]
m:41 [in Tactics]
m:41 [in Induction]
m:45 [in Tactics]
m:45 [in Maps]
m:47 [in Imp]
m:49 [in Tactics]
m:5 [in Maps]
m:51 [in Tactics]
m:51 [in Imp]
m:51 [in Induction]
m:51 [in Maps]
m:53 [in Tactics]
m:53 [in Imp]
m:53 [in IndProp]
m:53 [in AltAuto]
m:54 [in Induction]
m:55 [in Maps]
m:57 [in Induction]
m:57 [in AltAuto]
m:58 [in Rel]
m:59 [in Basics]
m:60 [in Maps]
m:62 [in Tactics]
m:63 [in Basics]
m:63 [in Induction]
m:63 [in IndPrinciples]
m:64 [in IndProp]
m:64 [in AltAuto]
m:65 [in Induction]
m:65 [in Maps]
m:66 [in Poly]
m:66 [in IndPrinciples]
m:67 [in Basics]
m:67 [in AltAuto]
m:68 [in IndPrinciples]
m:68 [in IndProp]
m:69 [in Maps]
m:7 [in Induction]
m:73 [in IndProp]
m:75 [in IndPrinciples]
m:75 [in IndProp]
m:75 [in Maps]
m:77 [in Tactics]
m:77 [in Logic]
m:78 [in Basics]
m:79 [in Tactics]
m:8 [in Tactics]
m:80 [in Maps]
m:81 [in Tactics]
m:81 [in IndProp]
m:82 [in Logic]
m:83 [in IndPrinciples]
m:83 [in AltAuto]
m:84 [in Tactics]
m:84 [in Basics]
m:84 [in IndProp]
m:87 [in Logic]
m:87 [in IndPrinciples]
m:88 [in Tactics]
m:88 [in IndProp]
m:89 [in Basics]
m:9 [in Induction]
m:90 [in Tactics]
m:92 [in Tactics]
m:92 [in IndPrinciples]
m:92 [in IndProp]
m:93 [in IndProp]
m:94 [in Tactics]
m:96 [in Tactics]
m:96 [in Basics]
m:97 [in IndPrinciples]
m:98 [in Tactics]
m:98 [in Basics]
m:98 [in IndProp]

## N

nb:42 [in Basics]
ns:166 [in Logic]
n':111 [in Logic]
n':48 [in IndProp]
n0:58 [in IndProp]
n0:60 [in IndProp]
n0:94 [in IndPrinciples]
n0:98 [in IndPrinciples]
n1:101 [in Imp]
n1:105 [in Imp]
n1:105 [in IndProp]
n1:123 [in IndProp]
n1:131 [in Imp]
n1:135 [in Imp]
n1:139 [in Imp]
n1:143 [in Imp]
n1:161 [in Imp]
n1:165 [in Imp]
n1:169 [in Imp]
n1:192 [in Logic]
n1:3 [in Lists]
n1:61 [in Imp]
n1:65 [in Imp]
n1:69 [in Imp]
n1:76 [in Imp]
n1:82 [in Imp]
n1:85 [in ProofObjects]
n1:87 [in ProofObjects]
n1:88 [in Imp]
n1:91 [in ProofObjects]
n1:97 [in Lists]
n1:97 [in Imp]
n2:102 [in Imp]
n2:106 [in Imp]
n2:106 [in IndProp]
n2:124 [in IndProp]
n2:132 [in Imp]
n2:136 [in Imp]
n2:140 [in Imp]
n2:144 [in Imp]
n2:162 [in Imp]
n2:166 [in Imp]
n2:170 [in Imp]
n2:193 [in Logic]
n2:4 [in Lists]
n2:62 [in Imp]
n2:66 [in Imp]
n2:70 [in Imp]
n2:77 [in Imp]
n2:83 [in Imp]
n2:86 [in ProofObjects]
n2:88 [in ProofObjects]
n2:89 [in Imp]
n2:92 [in ProofObjects]
n2:98 [in Lists]
n2:98 [in Imp]
n3:145 [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:100 [in IndPrinciples]
n:101 [in IndPrinciples]
n:101 [in IndProp]
n:101 [in AltAuto]
n:102 [in Lists]
n:102 [in Tactics]
n:102 [in Logic]
n:103 [in Tactics]
n:103 [in Basics]
n:104 [in Basics]
n:104 [in IndPrinciples]
n:104 [in AltAuto]
n:106 [in IndPrinciples]
n:107 [in Poly]
n:107 [in AltAuto]
n:108 [in Lists]
n:108 [in Imp]
n:108 [in IndProp]
n:109 [in IndPrinciples]
n:11 [in AltAuto]
n:110 [in Lists]
n:110 [in Imp]
n:110 [in Logic]
n:111 [in IndPrinciples]
n:112 [in Tactics]
n:112 [in IndPrinciples]
n:112 [in IndProp]
n:113 [in Tactics]
n:115 [in Basics]
n:115 [in IndProp]
n:116 [in Poly]
n:117 [in ProofObjects]
n:117 [in Imp]
n:117 [in IndPrinciples]
n:118 [in Basics]
n:118 [in IndProp]
n:119 [in Basics]
n:12 [in ProofObjects]
n:12 [in Tactics]
n:12 [in AltAuto]
n:120 [in IndPrinciples]
n:121 [in IndProp]
n:122 [in Lists]
n:124 [in Tactics]
n:125 [in Tactics]
n:126 [in Tactics]
n:126 [in Poly]
n:126 [in IndProp]
n:128 [in Imp]
n:128 [in IndProp]
n:129 [in Tactics]
n:13 [in ProofObjects]
n:13 [in Tactics]
n:13 [in Logic]
n:13 [in Induction]
n:130 [in IndProp]
n:131 [in Tactics]
n:132 [in IndProp]
n:133 [in AltAuto]
n:135 [in AltAuto]
n:138 [in IndProp]
n:138 [in AltAuto]
n:139 [in Logic]
n:14 [in Tactics]
n:14 [in IndPrinciples]
n:14 [in IndProp]
n:140 [in Poly]
n:142 [in Logic]
n:142 [in IndProp]
n:144 [in AltAuto]
n:145 [in Logic]
n:146 [in Logic]
n:146 [in IndProp]
n:148 [in Imp]
n:15 [in ProofObjects]
n:15 [in Lists]
n:15 [in Logic]
n:15 [in IndProp]
n:15 [in AltAuto]
n:150 [in Poly]
n:150 [in IndProp]
n:154 [in IndProp]
n:157 [in Imp]
n:158 [in Imp]
n:16 [in ProofObjects]
n:16 [in Induction]
n:165 [in Basics]
n:165 [in Logic]
n:166 [in Basics]
n:167 [in IndProp]
n:168 [in Poly]
n:168 [in IndProp]
n:17 [in Logic]
n:17 [in Induction]
n:17 [in IndPrinciples]
n:171 [in IndProp]
n:172 [in IndProp]
n:173 [in Imp]
n:175 [in AltAuto]
n:176 [in AltAuto]
n:18 [in Induction]
n:180 [in AltAuto]
n:189 [in Logic]
n:19 [in Logic]
n:19 [in Induction]
n:191 [in Logic]
n:194 [in Logic]
n:195 [in Logic]
n:196 [in AltAuto]
n:2 [in ImpParser]
n:2 [in Induction]
n:2 [in IndPrinciples]
n:2 [in Maps]
n:21 [in Logic]
n:21 [in Induction]
n:213 [in AltAuto]
n:216 [in Poly]
n:216 [in AltAuto]
n:217 [in Poly]
n:219 [in Poly]
n:219 [in AltAuto]
n:22 [in Rel]
n:221 [in Poly]
n:221 [in AltAuto]
n:223 [in Imp]
n:226 [in Logic]
n:23 [in Lists]
n:23 [in IndPrinciples]
n:24 [in Rel]
n:25 [in Lists]
n:25 [in Tactics]
n:25 [in Induction]
n:253 [in Imp]
n:26 [in Rel]
n:26 [in IndPrinciples]
n:265 [in Imp]
n:266 [in IndProp]
n:27 [in IndPrinciples]
n:271 [in IndProp]
n:29 [in Induction]
n:293 [in IndProp]
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:305 [in IndProp]
n:307 [in IndProp]
n:310 [in IndProp]
n:314 [in IndProp]
n:32 [in Logic]
n:32 [in Induction]
n:32 [in AltAuto]
n:327 [in IndProp]
n:328 [in IndProp]
n:33 [in Auto]
n:35 [in Rel]
n:35 [in Imp]
n:35 [in Auto]
n:35 [in Induction]
n:36 [in Imp]
n:36 [in Logic]
n:37 [in Logic]
n:38 [in Auto]
n:39 [in Induction]
n:4 [in Logic]
n:4 [in ImpParser]
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 Induction]
n:40 [in IndProp]
n:42 [in IndProp]
n:43 [in Induction]
n:44 [in Tactics]
n:44 [in Induction]
n:45 [in IndPrinciples]
n:45 [in IndProp]
n:46 [in Basics]
n:46 [in Induction]
n:46 [in IndProp]
n:47 [in Induction]
n:47 [in IndProp]
n:48 [in Tactics]
n:48 [in Imp]
n:49 [in IndProp]
n:5 [in ProofObjects]
n:5 [in Induction]
n:5 [in IndPrinciples]
n:5 [in IndProp]
n:50 [in Tactics]
n:50 [in Basics]
n:50 [in Induction]
n:50 [in IndProp]
n:51 [in IndProp]
n:52 [in Tactics]
n:52 [in Imp]
n:52 [in Basics]
n:52 [in IndProp]
n:52 [in AltAuto]
n:53 [in Induction]
n:54 [in Imp]
n:54 [in Basics]
n:55 [in Logic]
n:55 [in ImpParser]
n:55 [in IndProp]
n:56 [in Induction]
n:56 [in IndProp]
n:56 [in AltAuto]
n:57 [in Rel]
n:57 [in Basics]
n:57 [in Logic]
n:58 [in Imp]
n:58 [in Basics]
n:59 [in IndPrinciples]
n:6 [in ProofObjects]
n:6 [in ImpParser]
n:6 [in Induction]
n:60 [in IndPrinciples]
n:60 [in AltAuto]
n:61 [in Tactics]
n:61 [in Induction]
n:61 [in IndPrinciples]
n:61 [in IndProp]
n:61 [in AltAuto]
n:62 [in Basics]
n:62 [in Induction]
n:62 [in IndPrinciples]
n:62 [in IndProp]
n:62 [in AltAuto]
n:63 [in Tactics]
n:63 [in IndProp]
n:63 [in AltAuto]
n:65 [in IndPrinciples]
n:65 [in AltAuto]
n:66 [in ProofObjects]
n:66 [in Basics]
n:66 [in AltAuto]
n:67 [in ProofObjects]
n:67 [in Poly]
n:67 [in IndPrinciples]
n:67 [in IndProp]
n:68 [in ProofObjects]
n:68 [in Induction]
n:7 [in ProofObjects]
n:7 [in Tactics]
n:70 [in Tactics]
n:70 [in Induction]
n:70 [in IndPrinciples]
n:71 [in IndPrinciples]
n:71 [in IndProp]
n:72 [in Induction]
n:72 [in IndProp]
n:73 [in Imp]
n:74 [in ImpParser]
n:74 [in IndPrinciples]
n:74 [in IndProp]
n:75 [in Basics]
n:76 [in Tactics]
n:76 [in Logic]
n:77 [in Basics]
n:78 [in Tactics]
n:78 [in IndPrinciples]
n:79 [in IndProp]
n:8 [in ProofObjects]
n:8 [in ImpParser]
n:8 [in Induction]
n:8 [in AltAuto]
n:80 [in Tactics]
n:80 [in IndProp]
n:81 [in Logic]
n:81 [in IndPrinciples]
n:82 [in IndPrinciples]
n:82 [in AltAuto]
n:83 [in Tactics]
n:83 [in Basics]
n:83 [in IndProp]
n:84 [in Auto]
n:84 [in IndPrinciples]
n:85 [in Logic]
n:86 [in Logic]
n:87 [in Tactics]
n:87 [in IndProp]
n:88 [in Basics]
n:89 [in Tactics]
n:9 [in Rel]
n:9 [in IndProp]
n:90 [in Basics]
n:90 [in IndPrinciples]
n:91 [in Tactics]
n:91 [in Basics]
n:91 [in IndPrinciples]
n:91 [in IndProp]
n:92 [in Basics]
n:93 [in Lists]
n:93 [in Tactics]
n:93 [in Basics]
n:93 [in IndPrinciples]
n:94 [in Imp]
n:94 [in Basics]
n:94 [in IndProp]
n:95 [in Tactics]
n:95 [in Basics]
n:95 [in IndPrinciples]
n:96 [in Lists]
n:96 [in IndProp]
n:97 [in Tactics]
n:97 [in Basics]
n:97 [in IndProp]
n:99 [in Tactics]
n:99 [in Logic]
n:99 [in IndProp]

## O

o:103 [in AltAuto]
o:115 [in Lists]
o:134 [in IndProp]
o:139 [in IndProp]
o:143 [in IndProp]
o:146 [in Lists]
o:147 [in IndProp]
o:151 [in IndProp]
o:155 [in IndProp]
o:27 [in Tactics]
o:42 [in Tactics]
o:46 [in Tactics]
o:49 [in Imp]
o:5 [in Tactics]
o:54 [in Tactics]
o:54 [in IndProp]
o:54 [in AltAuto]
o:58 [in AltAuto]
o:84 [in AltAuto]
o:88 [in Logic]
o:95 [in IndProp]
o:99 [in Basics]

## P

pat:112 [in ImpParser]
pat:115 [in ImpParser]
pat:118 [in ImpParser]
pat:121 [in ImpParser]
pat:124 [in ImpParser]
pat:127 [in ImpParser]
pat:130 [in ImpParser]
pat:133 [in ImpParser]
pat:137 [in ImpParser]
pat:140 [in ImpParser]
pat:154 [in ImpParser]
pat:157 [in ImpParser]
pat:160 [in ImpParser]
pat:163 [in ImpParser]
pat:166 [in ImpParser]
pat:169 [in ImpParser]
pat:172 [in ImpParser]
pat:175 [in ImpParser]
pat:177 [in ImpParser]
pat:180 [in ImpParser]
pat:184 [in ImpParser]
pat:187 [in ImpParser]
pat:69 [in ImpParser]
pat:72 [in ImpParser]
pat:75 [in ImpParser]
pat:78 [in ImpParser]
pat:82 [in ImpParser]
pat:85 [in ImpParser]
pat:89 [in ImpParser]
pat:93 [in ImpParser]
pat:96 [in ImpParser]
pat:99 [in ImpParser]
Peven:136 [in Logic]
Peven:138 [in Logic]
Peven:141 [in Logic]
Peven:144 [in Logic]
pf1:142 [in ProofObjects]
pf2:143 [in ProofObjects]
Podd:135 [in Logic]
Podd:137 [in Logic]
Podd:140 [in Logic]
Podd:143 [in Logic]
power:72 [in Basics]
prog:269 [in Imp]
PSS:116 [in IndPrinciples]
P0:114 [in IndPrinciples]
P1:115 [in IndPrinciples]
p1:274 [in Imp]
p2:275 [in Imp]
P:1 [in IndPrinciples]
p:100 [in Basics]
P:101 [in ProofObjects]
p:102 [in Basics]
P:102 [in IndPrinciples]
P:105 [in ProofObjects]
p:106 [in AltAuto]
P:109 [in ProofObjects]
P:109 [in AltAuto]
p:11 [in Lists]
p:11 [in Tactics]
P:11 [in Auto]
P:110 [in ProofObjects]
P:110 [in IndPrinciples]
p:110 [in IndProp]
P:112 [in ProofObjects]
P:112 [in AltAuto]
P:113 [in IndPrinciples]
p:114 [in IndProp]
P:115 [in AltAuto]
p:117 [in IndProp]
P:118 [in AltAuto]
P:119 [in ProofObjects]
p:12 [in Induction]
p:120 [in IndProp]
P:122 [in ProofObjects]
P:124 [in AltAuto]
P:125 [in ProofObjects]
P:126 [in ProofObjects]
P:127 [in Auto]
P:128 [in ProofObjects]
P:128 [in Logic]
p:13 [in Lists]
P:130 [in ProofObjects]
P:130 [in AltAuto]
P:132 [in Logic]
P:133 [in ProofObjects]
p:133 [in Tactics]
P:133 [in Auto]
P:136 [in ProofObjects]
p:137 [in AltAuto]
P:138 [in ProofObjects]
P:138 [in Auto]
P:140 [in ProofObjects]
p:140 [in AltAuto]
P:141 [in ProofObjects]
p:142 [in ImpParser]
P:143 [in Auto]
P:148 [in Auto]
P:16 [in IndPrinciples]
P:17 [in ProofObjects]
p:17 [in Lists]
P:17 [in Auto]
p:17 [in AltAuto]
p:18 [in Lists]
p:185 [in Poly]
p:19 [in Lists]
p:196 [in Poly]
p:197 [in Logic]
P:198 [in AltAuto]
P:199 [in AltAuto]
p:20 [in Lists]
P:200 [in AltAuto]
P:202 [in AltAuto]
P:205 [in AltAuto]
P:21 [in ProofObjects]
p:215 [in AltAuto]
p:218 [in AltAuto]
P:223 [in Logic]
P:223 [in AltAuto]
P:224 [in Logic]
P:224 [in AltAuto]
P:226 [in AltAuto]
P:228 [in Logic]
P:229 [in AltAuto]
P:23 [in ProofObjects]
P:23 [in Auto]
P:23 [in Logic]
p:23 [in Induction]
P:230 [in Logic]
P:233 [in Logic]
P:233 [in AltAuto]
P:235 [in Logic]
P:235 [in AltAuto]
P:236 [in Logic]
P:237 [in AltAuto]
P:238 [in Logic]
P:238 [in AltAuto]
P:24 [in IndPrinciples]
P:240 [in AltAuto]
P:241 [in AltAuto]
P:25 [in ProofObjects]
P:25 [in Logic]
P:26 [in Auto]
P:27 [in Logic]
p:27 [in Induction]
P:29 [in ProofObjects]
p:29 [in Basics]
P:29 [in Logic]
P:296 [in IndProp]
P:301 [in IndProp]
P:303 [in IndProp]
P:31 [in ProofObjects]
p:31 [in Induction]
P:34 [in ProofObjects]
P:34 [in Imp]
p:34 [in Induction]
P:34 [in IndPrinciples]
p:34 [in AltAuto]
p:35 [in ImpParser]
P:35 [in IndPrinciples]
P:350 [in IndProp]
P:351 [in IndProp]
P:36 [in IndPrinciples]
p:37 [in Rel]
p:37 [in Auto]
p:37 [in Induction]
P:37 [in IndPrinciples]
P:38 [in ProofObjects]
P:39 [in Logic]
P:40 [in ProofObjects]
p:40 [in Auto]
P:41 [in Logic]
P:42 [in Logic]
p:42 [in ImpParser]
p:42 [in Induction]
P:43 [in ProofObjects]
p:43 [in Tactics]
P:43 [in Logic]
P:43 [in IndPrinciples]
P:45 [in ProofObjects]
P:45 [in Logic]
p:46 [in ImpParser]
p:47 [in Tactics]
P:47 [in Logic]
P:48 [in ProofObjects]
P:48 [in Logic]
P:48 [in AltAuto]
P:49 [in AltAuto]
p:5 [in Lists]
P:5 [in Auto]
p:50 [in Imp]
P:50 [in Logic]
P:50 [in AltAuto]
P:51 [in Logic]
P:51 [in AltAuto]
p:52 [in Induction]
P:55 [in ProofObjects]
p:55 [in Imp]
p:55 [in Induction]
p:55 [in AltAuto]
P:58 [in ProofObjects]
P:58 [in Logic]
p:58 [in Induction]
p:59 [in AltAuto]
p:6 [in Tactics]
P:60 [in Logic]
P:61 [in ProofObjects]
P:63 [in Logic]
p:64 [in IndPrinciples]
P:66 [in Logic]
P:69 [in Logic]
P:69 [in IndPrinciples]
p:7 [in Lists]
P:70 [in Logic]
P:71 [in ProofObjects]
P:73 [in Logic]
P:76 [in ProofObjects]
p:76 [in IndProp]
P:78 [in Logic]
P:8 [in Auto]
P:8 [in IndPrinciples]
p:83 [in Logic]
p:84 [in Poly]
p:85 [in Tactics]
p:85 [in AltAuto]
p:88 [in Poly]
P:89 [in IndPrinciples]
P:89 [in AltAuto]
p:9 [in Lists]
P:9 [in AltAuto]
P:90 [in Logic]
P:90 [in AltAuto]
P:92 [in AltAuto]
P:94 [in Logic]
P:95 [in AltAuto]
P:96 [in IndPrinciples]
P:99 [in IndPrinciples]
P:99 [in AltAuto]

## Q

Q:100 [in AltAuto]
q:101 [in Basics]
Q:110 [in AltAuto]
Q:111 [in ProofObjects]
q:111 [in IndProp]
Q:113 [in ProofObjects]
Q:113 [in AltAuto]
Q:116 [in AltAuto]
Q:119 [in AltAuto]
Q:12 [in Auto]
Q:120 [in ProofObjects]
Q:123 [in ProofObjects]
Q:125 [in AltAuto]
Q:127 [in ProofObjects]
Q:128 [in Auto]
Q:129 [in ProofObjects]
Q:131 [in ProofObjects]
Q:131 [in AltAuto]
Q:134 [in ProofObjects]
Q:134 [in Auto]
Q:137 [in ProofObjects]
Q:139 [in ProofObjects]
Q:139 [in Auto]
Q:144 [in Auto]
Q:149 [in Auto]
Q:18 [in ProofObjects]
Q:18 [in Auto]
Q:201 [in AltAuto]
Q:203 [in AltAuto]
Q:206 [in AltAuto]
Q:22 [in ProofObjects]
Q:225 [in AltAuto]
Q:227 [in AltAuto]
Q:230 [in AltAuto]
Q:234 [in Logic]
Q:234 [in AltAuto]
Q:236 [in AltAuto]
Q:237 [in Logic]
Q:239 [in Logic]
Q:239 [in AltAuto]
Q:24 [in ProofObjects]
Q:24 [in Auto]
Q:24 [in Logic]
q:24 [in Induction]
Q:242 [in AltAuto]
Q:26 [in ProofObjects]
Q:26 [in Logic]
Q:27 [in Auto]
Q:28 [in Logic]
q:28 [in Induction]
Q:30 [in ProofObjects]
Q:30 [in Logic]
Q:32 [in ProofObjects]
Q:35 [in ProofObjects]
Q:39 [in ProofObjects]
Q:40 [in Logic]
Q:41 [in ProofObjects]
Q:44 [in ProofObjects]
Q:44 [in Logic]
Q:46 [in ProofObjects]
Q:46 [in Logic]
Q:49 [in ProofObjects]
Q:49 [in Logic]
Q:52 [in Logic]
Q:56 [in ProofObjects]
Q:59 [in ProofObjects]
Q:59 [in Logic]
Q:6 [in Auto]
Q:61 [in Logic]
Q:64 [in Logic]
Q:67 [in Logic]
Q:71 [in Logic]
Q:74 [in Logic]
Q:79 [in Logic]
q:86 [in Tactics]
q:9 [in Tactics]
Q:9 [in Auto]
Q:91 [in AltAuto]
Q:95 [in Logic]
Q:96 [in AltAuto]

## R

rest''':176 [in ImpParser]
rest'':164 [in ImpParser]
rest'':173 [in ImpParser]
rest':113 [in ImpParser]
rest':116 [in ImpParser]
rest':122 [in ImpParser]
rest':138 [in ImpParser]
rest':155 [in ImpParser]
rest':161 [in ImpParser]
rest':170 [in ImpParser]
rest':185 [in ImpParser]
rest':70 [in ImpParser]
rest':83 [in ImpParser]
rest':91 [in ImpParser]
rest':94 [in ImpParser]
rest':97 [in ImpParser]
rest:110 [in ImpParser]
rest:119 [in ImpParser]
rest:125 [in ImpParser]
rest:128 [in ImpParser]
rest:131 [in ImpParser]
rest:135 [in ImpParser]
rest:152 [in ImpParser]
rest:158 [in ImpParser]
rest:167 [in ImpParser]
rest:178 [in ImpParser]
rest:182 [in ImpParser]
rest:67 [in ImpParser]
rest:73 [in ImpParser]
rest:76 [in ImpParser]
rest:80 [in ImpParser]
rest:87 [in ImpParser]
result:31 [in ImpParser]
re':247 [in IndProp]
re':386 [in IndProp]
re0:362 [in IndProp]
re0:368 [in IndProp]
re0:373 [in IndProp]
re1:189 [in IndProp]
re1:195 [in IndProp]
re1:198 [in IndProp]
re1:219 [in IndProp]
re1:363 [in IndProp]
re1:369 [in IndProp]
re1:374 [in IndProp]
re2:191 [in IndProp]
re2:196 [in IndProp]
re2:200 [in IndProp]
re2:220 [in IndProp]
re:147 [in AltAuto]
re:150 [in AltAuto]
re:157 [in AltAuto]
re:2 [in AltAuto]
re:202 [in IndProp]
re:205 [in IndProp]
re:214 [in IndProp]
re:223 [in IndProp]
re:226 [in IndProp]
re:231 [in IndProp]
re:234 [in IndProp]
re:237 [in IndProp]
re:24 [in AltAuto]
re:242 [in IndProp]
re:246 [in IndProp]
re:251 [in IndProp]
re:254 [in IndProp]
re:258 [in IndProp]
re:262 [in IndProp]
re:264 [in IndProp]
re:278 [in IndProp]
re:280 [in IndProp]
re:287 [in IndProp]
re:36 [in AltAuto]
re:377 [in IndProp]
re:381 [in IndProp]
re:382 [in IndProp]
re:384 [in IndProp]
re:39 [in AltAuto]
re:390 [in IndProp]
re:392 [in IndProp]
re:396 [in IndProp]
re:398 [in IndProp]
re:43 [in AltAuto]
re:46 [in AltAuto]
re:6 [in AltAuto]
r1:179 [in IndProp]
r1:181 [in IndProp]
r2:180 [in IndProp]
r2:182 [in IndProp]
r:10 [in Tactics]
R:10 [in Auto]
R:111 [in AltAuto]
R:114 [in AltAuto]
R:117 [in AltAuto]
R:120 [in AltAuto]
R:121 [in ProofObjects]
R:124 [in ProofObjects]
R:126 [in AltAuto]
R:13 [in Auto]
R:132 [in ProofObjects]
R:132 [in AltAuto]
R:135 [in ProofObjects]
R:15 [in Rel]
R:18 [in Rel]
R:18 [in IndProp]
r:183 [in IndProp]
R:19 [in Auto]
R:204 [in AltAuto]
R:228 [in AltAuto]
R:25 [in Auto]
R:28 [in Rel]
R:28 [in Auto]
R:3 [in Rel]
R:31 [in Logic]
R:32 [in Rel]
R:33 [in ProofObjects]
R:39 [in Rel]
R:41 [in Rel]
R:43 [in Rel]
R:45 [in Rel]
R:47 [in ProofObjects]
R:50 [in ProofObjects]
R:57 [in ProofObjects]
R:60 [in Rel]
R:65 [in Logic]
R:68 [in Logic]
R:69 [in Rel]
R:7 [in Auto]
R:72 [in Logic]
R:73 [in Rel]
R:75 [in Logic]
R:78 [in Rel]
R:80 [in Logic]

## S

ss:222 [in IndProp]
ss:255 [in IndProp]
stack:268 [in Imp]
stack:276 [in Imp]
stack:279 [in Imp]
steps:103 [in ImpParser]
steps:105 [in ImpParser]
steps:145 [in ImpParser]
steps:147 [in ImpParser]
steps:37 [in ImpParser]
steps:43 [in ImpParser]
steps:57 [in ImpParser]
steps:59 [in ImpParser]
steps:61 [in ImpParser]
str:188 [in ImpParser]
st'':106 [in Auto]
st'':115 [in Auto]
st'':229 [in Imp]
st'':245 [in Imp]
st'':315 [in Imp]
st'':324 [in Imp]
st'':90 [in Auto]
st':105 [in Auto]
st':110 [in Auto]
st':114 [in Auto]
st':12 [in ImpCEvalFun]
st':13 [in ImpCEvalFun]
st':217 [in Imp]
st':228 [in Imp]
st':231 [in Imp]
st':236 [in Imp]
st':244 [in Imp]
st':254 [in Imp]
st':256 [in Imp]
st':26 [in ImpCEvalFun]
st':27 [in ImpCEvalFun]
st':300 [in Imp]
st':305 [in Imp]
st':310 [in Imp]
st':314 [in Imp]
st':319 [in Imp]
st':32 [in ImpCEvalFun]
st':323 [in Imp]
st':37 [in ImpCEvalFun]
st':41 [in ImpCEvalFun]
st':45 [in ImpCEvalFun]
st':5 [in ImpCEvalFun]
st':89 [in Auto]
st':92 [in Auto]
st':97 [in Auto]
st1:120 [in Auto]
st1:124 [in Auto]
st1:250 [in Imp]
st1:3 [in Auto]
st1:327 [in Imp]
st1:46 [in Auto]
st1:49 [in ImpCEvalFun]
st1:50 [in Auto]
st1:54 [in Auto]
st1:58 [in Auto]
st1:64 [in Auto]
st2:121 [in Auto]
st2:125 [in Auto]
st2:251 [in Imp]
st2:328 [in Imp]
st2:4 [in Auto]
st2:47 [in Auto]
st2:50 [in ImpCEvalFun]
st2:51 [in Auto]
st2:55 [in Auto]
st2:59 [in Auto]
st2:65 [in Auto]
st:1 [in ImpCEvalFun]
st:102 [in Auto]
st:104 [in Auto]
st:109 [in Auto]
st:113 [in Auto]
st:119 [in Auto]
st:123 [in Auto]
st:14 [in ImpCEvalFun]
st:194 [in Imp]
st:198 [in Imp]
st:2 [in Auto]
st:20 [in ImpCEvalFun]
st:213 [in Imp]
st:220 [in Imp]
st:221 [in Imp]
st:227 [in Imp]
st:230 [in Imp]
st:235 [in Imp]
st:241 [in Imp]
st:243 [in Imp]
st:249 [in Imp]
st:252 [in Imp]
st:255 [in Imp]
st:267 [in Imp]
st:273 [in Imp]
st:277 [in Imp]
st:28 [in ImpCEvalFun]
st:280 [in Imp]
st:297 [in Imp]
st:299 [in Imp]
st:304 [in Imp]
st:309 [in Imp]
st:31 [in ImpCEvalFun]
st:313 [in Imp]
st:318 [in Imp]
st:322 [in Imp]
st:326 [in Imp]
st:36 [in ImpCEvalFun]
st:40 [in ImpCEvalFun]
st:44 [in ImpCEvalFun]
st:45 [in Auto]
st:48 [in ImpCEvalFun]
st:49 [in Auto]
st:53 [in Auto]
st:57 [in Auto]
st:6 [in ImpCEvalFun]
st:63 [in Auto]
st:81 [in Auto]
st:82 [in Auto]
st:88 [in Auto]
st:91 [in Auto]
st:96 [in Auto]
succ:208 [in Poly]
succ:211 [in Poly]
succ:214 [in Poly]
s':126 [in Auto]
s':256 [in IndProp]
s0:364 [in IndProp]
s0:370 [in IndProp]
s0:378 [in IndProp]
s1:152 [in AltAuto]
s1:159 [in AltAuto]
s1:188 [in IndProp]
s1:194 [in IndProp]
s1:203 [in IndProp]
s1:240 [in IndProp]
s1:244 [in IndProp]
s1:249 [in IndProp]
s1:276 [in IndProp]
s1:282 [in IndProp]
s1:289 [in IndProp]
s1:329 [in Imp]
s1:365 [in IndProp]
s1:371 [in IndProp]
s1:379 [in IndProp]
s1:63 [in Lists]
s2:153 [in AltAuto]
s2:160 [in AltAuto]
s2:190 [in IndProp]
s2:199 [in IndProp]
s2:204 [in IndProp]
s2:241 [in IndProp]
s2:245 [in IndProp]
s2:250 [in IndProp]
s2:277 [in IndProp]
s2:283 [in IndProp]
s2:290 [in IndProp]
s2:330 [in Imp]
s2:64 [in Lists]
s3:154 [in AltAuto]
s3:161 [in AltAuto]
s3:284 [in IndProp]
s3:291 [in IndProp]
s:12 [in ImpParser]
S:121 [in AltAuto]
S:127 [in AltAuto]
S:14 [in Auto]
s:143 [in ImpParser]
s:148 [in AltAuto]
s:151 [in AltAuto]
s:158 [in AltAuto]
S:20 [in Auto]
s:213 [in IndProp]
s:216 [in IndProp]
s:218 [in IndProp]
s:224 [in IndProp]
s:230 [in IndProp]
s:238 [in IndProp]
s:25 [in ImpParser]
s:25 [in AltAuto]
s:253 [in IndProp]
s:281 [in IndProp]
s:288 [in IndProp]
S:29 [in Auto]
s:30 [in ImpParser]
s:301 [in Imp]
s:306 [in Imp]
s:352 [in IndProp]
s:353 [in IndProp]
s:355 [in IndProp]
s:358 [in IndProp]
s:360 [in IndProp]
s:361 [in IndProp]
s:367 [in IndProp]
s:37 [in AltAuto]
s:372 [in IndProp]
s:376 [in IndProp]
s:387 [in IndProp]
s:395 [in IndProp]
s:397 [in IndProp]
s:44 [in AltAuto]
s:47 [in AltAuto]
s:50 [in Lists]
s:53 [in Lists]
s:55 [in Lists]
s:58 [in Lists]
s:61 [in Lists]
s:7 [in AltAuto]
s:92 [in Lists]
s:94 [in Lists]

## T

term:101 [in ImpParser]
test:119 [in Poly]
test:130 [in Poly]
test:135 [in Tactics]
test:140 [in Tactics]
test:144 [in Tactics]
test:148 [in Tactics]
test:151 [in Tactics]
test:216 [in Logic]
test:220 [in Logic]
test:323 [in IndProp]
tk:21 [in ImpParser]
tokens:189 [in ImpParser]
t1:32 [in IndPrinciples]
t1:52 [in IndPrinciples]
t1:96 [in ProofObjects]
t2:33 [in IndPrinciples]
t2:53 [in IndPrinciples]
t2:97 [in ProofObjects]
T:1 [in AltAuto]
T:122 [in AltAuto]
t:125 [in IndPrinciples]
T:127 [in Logic]
T:128 [in AltAuto]
t:129 [in IndPrinciples]
T:131 [in Logic]
t:131 [in IndPrinciples]
t:144 [in ImpParser]
T:146 [in AltAuto]
T:149 [in AltAuto]
T:15 [in Auto]
T:156 [in AltAuto]
T:175 [in IndProp]
t:178 [in IndProp]
T:184 [in IndProp]
T:208 [in IndProp]
T:21 [in Auto]
T:212 [in IndProp]
T:215 [in IndProp]
T:217 [in IndProp]
T:221 [in IndProp]
T:225 [in IndProp]
T:229 [in IndProp]
T:23 [in AltAuto]
T:233 [in IndProp]
T:236 [in IndProp]
T:239 [in IndProp]
T:243 [in IndProp]
T:248 [in IndProp]
T:252 [in IndProp]
T:257 [in IndProp]
T:261 [in IndProp]
T:263 [in IndProp]
T:265 [in IndProp]
T:270 [in IndProp]
T:274 [in IndProp]
T:279 [in IndProp]
T:286 [in IndProp]
T:30 [in Auto]
T:33 [in ImpParser]
T:34 [in ImpParser]
T:35 [in AltAuto]
T:38 [in AltAuto]
T:41 [in ImpParser]
T:42 [in AltAuto]
T:44 [in ImpParser]
t:45 [in ImpParser]
T:45 [in AltAuto]
t:46 [in IndPrinciples]
t:47 [in IndPrinciples]
t:49 [in ImpParser]
T:5 [in AltAuto]
t:88 [in AltAuto]
t:9 [in IndPrinciples]

## U

u:123 [in ImpParser]
U:123 [in AltAuto]
u:129 [in ImpParser]
U:129 [in AltAuto]
u:132 [in ImpParser]
U:16 [in Auto]
u:165 [in ImpParser]
u:179 [in ImpParser]
U:22 [in Auto]
U:31 [in Auto]
u:71 [in ImpParser]

## V

value:135 [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:131 [in Lists]
v:14 [in Maps]
v:142 [in Lists]
v:18 [in Maps]
v:22 [in Maps]
v:27 [in Maps]
v:47 [in Maps]
v:49 [in Lists]
v:52 [in Lists]
v:53 [in Maps]
v:54 [in Lists]
v:57 [in Lists]
v:58 [in Maps]
v:60 [in Lists]
v:67 [in Maps]
v:78 [in Maps]

## W

W:32 [in Auto]

## X

xo:154 [in Poly]
xs:104 [in ImpParser]
xs:106 [in ImpParser]
xs:146 [in ImpParser]
xs:148 [in ImpParser]
xs:15 [in ImpParser]
xs:18 [in ImpParser]
xs:38 [in ImpParser]
xs:47 [in ImpParser]
xs:50 [in ImpParser]
xs:51 [in ImpParser]
xs:53 [in ImpParser]
xs:58 [in ImpParser]
xs:60 [in ImpParser]
xs:62 [in ImpParser]
xs:90 [in ImpParser]
x':15 [in Maps]
x1:123 [in Lists]
x1:25 [in Maps]
x1:40 [in Maps]
x1:56 [in Maps]
x1:70 [in Maps]
x2:124 [in Lists]
x2:26 [in Maps]
x2:41 [in Maps]
x2:57 [in Maps]
x2:71 [in Maps]
X:1 [in Rel]
x:1 [in Maps]
X:10 [in Poly]
X:100 [in Tactics]
x:101 [in Logic]
X:101 [in Poly]
X:102 [in ProofObjects]
x:103 [in ProofObjects]
x:104 [in Logic]
x:104 [in Poly]
x:105 [in Tactics]
X:105 [in Poly]
X:106 [in ProofObjects]
x:106 [in Logic]
x:107 [in ProofObjects]
x:107 [in Tactics]
X:11 [in Poly]
X:111 [in Poly]
X:113 [in Poly]
X:114 [in Tactics]
X:114 [in Poly]
X:116 [in ProofObjects]
x:116 [in Logic]
X:117 [in Poly]
X:118 [in Poly]
X:119 [in Tactics]
X:12 [in Poly]
X:121 [in IndPrinciples]
x:122 [in Logic]
X:123 [in Poly]
x:124 [in Basics]
X:124 [in IndPrinciples]
x:127 [in Lists]
X:128 [in IndPrinciples]
x:129 [in Auto]
X:129 [in Poly]
x:13 [in Poly]
x:13 [in Maps]
X:130 [in IndPrinciples]
x:131 [in Auto]
x:132 [in Poly]
X:133 [in Poly]
x:134 [in Lists]
X:134 [in Tactics]
x:134 [in Logic]
x:136 [in Lists]
x:136 [in Tactics]
x:136 [in Auto]
X:139 [in Tactics]
x:139 [in Poly]
X:14 [in Rel]
x:141 [in Lists]
x:141 [in Auto]
X:141 [in ImpParser]
X:141 [in Poly]
x:141 [in AltAuto]
x:142 [in AltAuto]
X:143 [in Tactics]
x:143 [in AltAuto]
x:144 [in Lists]
X:145 [in Poly]
x:146 [in Auto]
X:147 [in Tactics]
x:148 [in Logic]
x:149 [in Lists]
X:150 [in Tactics]
x:151 [in Auto]
x:151 [in Logic]
X:151 [in Poly]
x:154 [in Logic]
X:156 [in Poly]
x:158 [in Logic]
X:163 [in Poly]
x:164 [in Poly]
X:166 [in Poly]
x:168 [in Logic]
x:169 [in Logic]
X:169 [in Poly]
X:17 [in Rel]
X:17 [in IndProp]
x:17 [in Maps]
x:170 [in Logic]
x:171 [in Logic]
X:171 [in Poly]
X:172 [in Logic]
x:174 [in Imp]
X:175 [in Poly]
x:176 [in Logic]
x:178 [in Logic]
x:179 [in Logic]
x:179 [in Poly]
X:180 [in Logic]
X:181 [in Poly]
X:185 [in Logic]
X:186 [in Poly]
X:187 [in Logic]
x:187 [in IndProp]
x:19 [in Poly]
x:190 [in Poly]
X:192 [in Poly]
X:194 [in AltAuto]
X:197 [in Poly]
X:198 [in Poly]
X:2 [in Rel]
x:200 [in Poly]
X:201 [in Poly]
x:202 [in Logic]
x:203 [in Poly]
x:204 [in Imp]
X:204 [in Poly]
x:206 [in Poly]
X:207 [in Poly]
X:209 [in AltAuto]
X:21 [in Poly]
x:21 [in IndProp]
x:21 [in Maps]
X:210 [in Poly]
X:211 [in AltAuto]
X:213 [in Poly]
X:215 [in Logic]
X:219 [in Logic]
x:222 [in Logic]
x:224 [in Imp]
X:229 [in Logic]
x:23 [in IndProp]
x:231 [in Logic]
x:232 [in Logic]
x:232 [in IndProp]
X:24 [in Tactics]
x:25 [in Poly]
X:26 [in ImpParser]
X:26 [in Poly]
X:26 [in IndProp]
X:26 [in AltAuto]
x:266 [in Imp]
X:27 [in Rel]
x:27 [in Poly]
x:284 [in Imp]
x:29 [in ImpParser]
X:29 [in AltAuto]
x:295 [in IndProp]
x:30 [in Maps]
x:309 [in IndProp]
X:31 [in Rel]
X:31 [in Poly]
X:316 [in IndProp]
X:319 [in IndProp]
X:32 [in Poly]
X:322 [in IndProp]
X:329 [in IndProp]
X:33 [in Poly]
X:332 [in IndProp]
X:334 [in IndProp]
X:336 [in IndProp]
X:338 [in IndProp]
x:339 [in IndProp]
x:34 [in Poly]
X:343 [in IndProp]
X:346 [in IndProp]
x:349 [in IndProp]
x:35 [in Maps]
X:38 [in Rel]
X:38 [in Poly]
x:39 [in Poly]
x:4 [in Rel]
X:40 [in Rel]
x:41 [in Auto]
X:42 [in Rel]
x:42 [in Auto]
x:43 [in Auto]
X:43 [in Poly]
x:46 [in Poly]
x:46 [in Maps]
x:48 [in Rel]
X:48 [in Poly]
X:48 [in IndPrinciples]
x:49 [in Maps]
X:5 [in Poly]
x:51 [in Rel]
x:51 [in IndPrinciples]
x:52 [in Rel]
x:52 [in Maps]
X:53 [in Poly]
X:54 [in IndPrinciples]
X:55 [in Tactics]
x:56 [in Tactics]
X:57 [in Poly]
x:6 [in Maps]
x:60 [in Auto]
x:61 [in Rel]
x:61 [in Auto]
X:61 [in Poly]
x:61 [in Maps]
X:62 [in Poly]
x:64 [in ProofObjects]
X:64 [in Tactics]
x:65 [in ProofObjects]
x:65 [in Tactics]
x:66 [in Maps]
X:68 [in Rel]
x:68 [in Auto]
X:68 [in Poly]
x:70 [in Rel]
X:71 [in Poly]
X:72 [in Rel]
x:73 [in AltAuto]
x:74 [in Rel]
x:74 [in Tactics]
X:74 [in Poly]
X:76 [in Poly]
X:77 [in ProofObjects]
X:77 [in Rel]
x:77 [in Maps]
x:79 [in Rel]
x:8 [in Logic]
x:8 [in Poly]
x:80 [in ProofObjects]
x:80 [in Poly]
x:80 [in AltAuto]
X:81 [in ProofObjects]
x:82 [in ProofObjects]
X:82 [in Poly]
x:82 [in Maps]
X:83 [in ProofObjects]
x:84 [in ProofObjects]
x:84 [in Logic]
x:85 [in Auto]
X:86 [in Poly]
X:86 [in AltAuto]
X:89 [in Logic]
X:90 [in Poly]
x:91 [in Logic]
x:92 [in Logic]
X:93 [in ProofObjects]
X:93 [in Logic]
x:93 [in AltAuto]
x:96 [in Logic]
x:97 [in Logic]
X:97 [in Poly]
x:97 [in AltAuto]
X:98 [in ProofObjects]
x:98 [in Logic]
x:99 [in ProofObjects]

## Y

y1:5 [in Rel]
y2:6 [in Rel]
y:100 [in ProofObjects]
y:104 [in ProofObjects]
y:108 [in ProofObjects]
Y:115 [in Tactics]
Y:120 [in Tactics]
y:121 [in Logic]
y:130 [in Auto]
y:132 [in Auto]
Y:134 [in Poly]
y:135 [in Auto]
y:137 [in Auto]
y:140 [in Auto]
y:142 [in Auto]
Y:142 [in Poly]
y:145 [in Lists]
y:145 [in Auto]
Y:146 [in Poly]
y:147 [in Auto]
y:149 [in Logic]
y:150 [in Lists]
y:150 [in Auto]
y:152 [in Auto]
y:152 [in Logic]
Y:152 [in Poly]
y:155 [in Logic]
Y:157 [in Poly]
Y:172 [in Poly]
Y:173 [in Logic]
Y:176 [in Poly]
y:180 [in Poly]
Y:182 [in Poly]
Y:187 [in Poly]
y:191 [in Poly]
Y:193 [in Poly]
y:20 [in Poly]
y:203 [in Logic]
y:22 [in IndProp]
y:24 [in IndProp]
y:49 [in Rel]
y:53 [in Rel]
y:57 [in Tactics]
y:64 [in Rel]
y:66 [in Tactics]
y:7 [in Maps]
y:71 [in Rel]
y:74 [in AltAuto]
y:75 [in Rel]
y:75 [in Tactics]
Y:77 [in Poly]
y:80 [in Rel]
y:81 [in Poly]
y:81 [in AltAuto]
Y:83 [in Poly]
Y:87 [in Poly]
y:9 [in Logic]
Y:91 [in Poly]
y:94 [in AltAuto]
Y:98 [in Poly]
y:98 [in AltAuto]

## Z

zero:209 [in Poly]
zero:212 [in Poly]
zero:215 [in Poly]
z:150 [in Logic]
z:153 [in Logic]
z:156 [in Logic]
Z:177 [in Poly]
Z:183 [in Poly]
Z:188 [in Poly]
Z:194 [in Poly]
z:25 [in IndProp]
z:54 [in Rel]
z:58 [in Tactics]
z:65 [in Rel]
z:67 [in Tactics]
z:76 [in Rel]

# 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]
AltSolution [in Lists]

## B

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

## E

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

## I

IffPlayground [in Logic]

## L

LateDays [in Basics]
LePlayground [in IndProp]

## M

MumbleGrumble [in Poly]

## N

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

## O

OptionPlayground [in Poly]

## P

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

## R

R [in IndProp]
Repeat [in Auto]

## T

TuplePlayground [in Basics]

# Library Index

## A

AltAuto
Auto

## B

Basics
Bib

## E

Extraction

## I

Imp
ImpCEvalFun
ImpParser
IndPrinciples
IndProp
Induction

## L

Lists
Logic

## M

Maps

## P

Poly
Postscript
Preface
ProofObjects

## R

Rel

## T

Tactics

# Lemma Index

## A

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

## B

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

## C

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

## D

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

## E

empty_relation_partial_function [in Rel]
empty_nomatch_ne [in IndProp]
empty_matches_eps [in IndProp]
empty_is_empty [in IndProp]
empty_relation_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_plus_plus [in IndProp]
ev_ev__ev [in IndProp]
ev_sum [in IndProp]
ev_Even_iff [in IndProp]
ev_Even [in IndProp]
ev_Even_firsttry [in IndProp]
ev_inversion [in IndProp]
ev_double [in IndProp]
ev_plus4 [in IndProp]
ev_4' [in IndProp]
ev_4 [in IndProp]
ev'_ev [in IndProp]
ev100 [in AltAuto]
ev5_nonsense [in IndProp]
excluded_middle_irrefutable [in Logic]
execute_app [in Imp]
Exercises.curry_uncurry [in Poly]
Exercises.fold_length_correct [in Poly]
Exercises.uncurry_curry [in Poly]
existsb_existsb' [in Tactics]
exists_example_2 [in Logic]
ex_falso_quodlibet [in Logic]

## F

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

## H

hyp_name [in AltAuto]

## I

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

## L

LateDays.apply_late_policy_unfold [in Basics]
LateDays.grade_lowered_once [in Basics]
LateDays.letter_comparison_Eq [in Basics]
LateDays.lower_grade_lowers [in Basics]
LateDays.lower_grade_F_Minus [in Basics]
LateDays.lower_letter_lowers [in Basics]
LateDays.lower_letter_F_is_F [in Basics]
LateDays.lower_letter_lowers [in Basics]
LateDays.no_penalty_for_mostly_on_time [in Basics]
leb_plus_exists [in Logic]
leb_refl [in Induction]
leb_true_trans [in IndProp]
leb_iff [in IndProp]
leb_correct [in IndProp]
leb_complete [in IndProp]
le_order [in Rel]
le_step [in Rel]
le_antisymmetric [in Rel]
le_not_symmetric [in Rel]
le_Sn_n [in Rel]
le_S_n [in Rel]
le_Sn_le [in Rel]
le_trans [in Rel]
le_reflexive [in Rel]
le_not_a_partial_function [in Rel]
le_antisym [in Auto]
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]
loop_never_stops [in Imp]
lt_trans'' [in Rel]
lt_trans' [in Rel]
lt_trans [in Rel]
lt_ge_cases [in IndProp]

## M

many_eq' [in AltAuto]
many_eq [in AltAuto]
map_rev [in Poly]
match_eps_refl [in IndProp]
match_ex5 [in AltAuto]
match_ex5 [in AltAuto]
match_ex4 [in AltAuto]
match_ex3' [in AltAuto]
match_ex3 [in AltAuto]
match_ex2''' [in AltAuto]
match_ex2'' [in AltAuto]
match_ex2' [in AltAuto]
match_ex2 [in AltAuto]
match_ex1 [in AltAuto]
merge_filter [in IndProp]
minus_n_n [in Induction]
MStar' [in IndProp]
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_1_l [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.fst_swap_is_snd [in Lists]
NatList.involution_injective [in Lists]
NatList.leb_n_Sn [in Lists]
NatList.nil_app [in Lists]
NatList.nonzeros_app [in Lists]
NatList.option_elim_hd [in Lists]
NatList.remove_does_not_increase_count [in Lists]
NatList.rev_injective [in Lists]
NatList.rev_involutive [in Lists]
NatList.rev_app_distr [in Lists]
NatList.rev_length [in Lists]
NatList.rev_length_firsttry [in Lists]
NatList.snd_fst_is_swap [in Lists]
NatList.surjective_pairing [in Lists]
NatList.surjective_pairing_stuck [in Lists]
NatList.surjective_pairing' [in Lists]
NatList.tl_length_pred [in Lists]
nat_bin_nat [in Induction]
negb_involutive [in Basics]
negb_involutive' [in AltAuto]
negb_involutive [in AltAuto]
next_nat_closure_is_le [in Rel]
next_nat_partial_function [in Rel]
nonzeros_app [in AltAuto]
nor_not_and' [in AltAuto]
nor_not' [in AltAuto]
nor_comm' [in AltAuto]
nor_not [in AltAuto]
nor_comm [in AltAuto]
nor_not_or [in AltAuto]
not_exists_dist [in Logic]
not_true_iff_false [in Logic]
not_true_is_false' [in Logic]
not_true_is_false [in Logic]
not_both_true_and_false [in Logic]
not_False [in Logic]
not_implies_our_not [in Logic]
not_equiv_false [in IndProp]
no_whiles_eqv [in Imp]
no_hyp_name [in AltAuto]
nth_error_after_last [in Tactics]
null_matches_none [in IndProp]
n_lt_m__n_le_m [in IndProp]
n_le_m__Sn_le_Sm [in IndProp]

## O

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

## P

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

## R

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

## S

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

## T

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

## U

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

## W

weak_pumping [in AltAuto]

## Z

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

# Constructor Index

## A

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.BEq [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]
alpha [in ImpParser]
AMinus [in Imp]
AMult [in Imp]
ANum [in Imp]
APlus [in Imp]
App [in IndProp]

## B

BAnd [in Imp]
Baz1 [in Lists]
Baz2 [in Lists]
BEq [in Imp]
BFalse [in Imp]
BGt [in Imp]
bin1.B0 [in IndProp]
bin1.B1 [in IndProp]
bin1.Z [in IndProp]
bin2.B0 [in IndProp]
bin2.B1 [in IndProp]
bin2.Z [in IndProp]
bin3.B0 [in IndProp]
bin3.B1 [in IndProp]
bin3.Z [in IndProp]
black [in Basics]
BLe [in Imp]
blue [in Basics]
blue [in IndPrinciples]
BNeq [in Imp]
BNot [in Imp]
bool_cons [in Poly]
bool_nil [in Poly]
BreakImp.CAsgn [in Imp]
BreakImp.CBreak [in Imp]
BreakImp.CIf [in Imp]
BreakImp.CSeq [in Imp]
BreakImp.CSkip [in Imp]
BreakImp.CWhile [in Imp]
BreakImp.E_Skip [in Imp]
BreakImp.SBreak [in Imp]
BreakImp.SContinue [in Imp]
BTrue [in Imp]
bt_branch [in IndPrinciples]
bt_leaf [in IndPrinciples]
bt_empty [in IndPrinciples]
B0 [in Basics]
B0 [in Induction]
B1 [in Basics]
B1 [in Induction]

## C

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

## D

day [in IndPrinciples]
digit [in ImpParser]

## E

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

## F

false [in Basics]
friday [in Basics]

## G

green [in Basics]
green [in IndPrinciples]

## I

Id [in Lists]

## L

LateDays.A [in Basics]
LateDays.B [in Basics]
LateDays.C [in Basics]
LateDays.D [in Basics]
LateDays.Eq [in Basics]
LateDays.F [in Basics]
LateDays.Grade [in Basics]
LateDays.Gt [in Basics]
LateDays.Lt [in Basics]
LateDays.Minus [in Basics]
LateDays.Natural [in Basics]
LateDays.Plus [in Basics]
leaf [in IndPrinciples]
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]
MumbleGrumble.a [in Poly]
MumbleGrumble.b [in Poly]
MumbleGrumble.c [in Poly]
MumbleGrumble.d [in Poly]
MumbleGrumble.e [in Poly]
MUnionL [in IndProp]
MUnionR [in IndProp]

## N

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

## O

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

## P

pair [in Poly]
PartialMap.empty [in Lists]
PartialMap.record [in Lists]
perm3_trans [in IndProp]
perm3_swap23 [in IndProp]
perm3_swap12 [in IndProp]
Playground.le_S [in IndProp]
Playground.le_n [in IndProp]
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]
red [in IndPrinciples]
ReflectF [in IndProp]
ReflectT [in IndProp]
Repeat.CAsgn [in Auto]
Repeat.CIf [in Auto]
Repeat.CRepeat [in Auto]
Repeat.CSeq [in Auto]
Repeat.CSkip [in Auto]
Repeat.CWhile [in Auto]
Repeat.E_RepeatLoop [in Auto]
Repeat.E_RepeatEnd [in Auto]
Repeat.E_WhileTrue [in Auto]
Repeat.E_WhileFalse [in Auto]
Repeat.E_IfFalse [in Auto]
Repeat.E_IfTrue [in Auto]
Repeat.E_Seq [in Auto]
Repeat.E_Asgn [in Auto]
Repeat.E_Skip [in Auto]
rt_trans [in Rel]
rt_refl [in Rel]
rt_step [in Rel]
rt1n_trans [in Rel]
rt1n_refl [in Rel]
R.c1 [in IndProp]
R.c2 [in IndProp]
R.c3 [in IndProp]
R.c4 [in IndProp]
R.c5 [in IndProp]

## S

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

## T

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_branch [in IndPrinciples]
t_leaf [in IndPrinciples]
t_trans [in IndProp]
t_step [in IndProp]

## U

Union [in IndProp]

## W

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

## Z

Z [in Basics]
Z [in Induction]

# Axiom Index

## C

collatz [in IndProp]

## F

functional_extensionality [in Logic]

# Inductive Index

## A

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

## B

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

## C

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

## D

day [in Basics]

## E

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

## F

foo' [in IndPrinciples]

## I

id [in Lists]

## L

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

## M

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

## N

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

## O

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

## P

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

## R

reaches_1 [in IndProp]
reflect [in IndProp]
reg_exp [in IndProp]
repeats [in IndProp]
Repeat.ceval [in Auto]
Repeat.com [in Auto]
rgb [in Basics]
rgb [in IndPrinciples]
R.R [in IndProp]

## S

sinstr [in Imp]
subseq [in IndProp]

## T

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

## W

wrong_ev [in IndProp]

# Definition Index

## A

add1 [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.manual_grade_for_beval_rules [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]
antisymmetric [in Rel]
app [in Poly]
auto_example_7' [in Auto]
auto_example_7 [in Auto]
auto_example_6' [in Auto]
auto_example_6 [in Auto]
auto_example_5' [in Auto]
auto_example_5 [in Auto]
auto_example_4 [in Auto]
auto_example_3 [in Auto]
auto_example_2 [in Auto]
auto_example_1' [in Auto]
auto_example_1 [in Auto]
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

bar [in Tactics]
base_case [in IndPrinciples]
better_t_tree_ind [in IndPrinciples]
better_t_tree_ind_type [in IndPrinciples]
beval [in Imp]
bexp1 [in Imp]
bignumber [in ImpParser]
bin_to_nat [in Basics]
bin_to_nat [in Induction]
booltree_ind_type [in IndPrinciples]
booltree_property_type [in IndPrinciples]
branch_case [in IndPrinciples]
build_proof [in IndPrinciples]

## C

c [in IndProp]
ceval_example2 [in Imp]
ceval_example1 [in Imp]
ceval_fun_no_while [in Imp]
ceval_example1 [in Auto]
ceval_step [in ImpCEvalFun]
ceval_step3 [in ImpCEvalFun]
ceval_step2 [in ImpCEvalFun]
ceval_step1 [in ImpCEvalFun]
ceval'_example1 [in Auto]
classifyChar [in ImpParser]
combine [in Poly]
combine_odd_even [in Logic]
constfun [in Poly]
constfun_example2 [in Poly]
constfun_example1 [in Poly]
constructor_example [in AltAuto]
contradiction_implies_anything [in ProofObjects]
count [in IndProp]
countoddmembers' [in Poly]
curry [in ProofObjects]

## D

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

## E

eauto_example [in Auto]
eg1 [in ImpParser]
eg2 [in ImpParser]
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]
equivalence [in Rel]
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_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_test_ceval [in ImpCEvalFun]
example_empty [in Maps]
excluded_middle [in Logic]
Exercises.Church.cnat [in Poly]
Exercises.Church.exp [in Poly]
Exercises.Church.exp_3 [in Poly]
Exercises.Church.exp_2 [in Poly]
Exercises.Church.exp_1 [in Poly]
Exercises.Church.mult [in Poly]
Exercises.Church.mult_3 [in Poly]
Exercises.Church.mult_2 [in Poly]
Exercises.Church.mult_1 [in Poly]
Exercises.Church.one [in Poly]
Exercises.Church.one_church_peano [in Poly]
Exercises.Church.one' [in Poly]
Exercises.Church.plus [in Poly]
Exercises.Church.plus_3 [in Poly]
Exercises.Church.plus_2 [in Poly]
Exercises.Church.plus_1 [in Poly]
Exercises.Church.scc [in Poly]
Exercises.Church.scc_3 [in Poly]
Exercises.Church.scc_2 [in Poly]
Exercises.Church.scc_1 [in Poly]
Exercises.Church.three [in Poly]
Exercises.Church.two [in Poly]
Exercises.Church.two_church_peano [in Poly]
Exercises.Church.two' [in Poly]
Exercises.Church.zero [in Poly]
Exercises.Church.zero_church_peano [in Poly]
Exercises.Church.zero' [in Poly]
Exercises.fold_map [in Poly]
Exercises.fold_length [in Poly]
Exercises.manual_grade_for_informal_proof [in Poly]
Exercises.manual_grade_for_fold_map [in Poly]
Exercises.prod_uncurry [in Poly]
Exercises.prod_curry [in Poly]
Exercises.test_map1' [in Poly]
Exercises.test_fold_length1 [in Poly]
existsb [in Tactics]
existsb' [in Tactics]
exp [in Basics]
expect [in ImpParser]

## F

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

## H

hd_error [in Poly]

## I

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

## L

LateDays.apply_late_policy [in Basics]
LateDays.grade_comparison [in Basics]
LateDays.letter_comparison [in Basics]
LateDays.lower_grade_thrice [in Basics]
LateDays.lower_grade_twice [in Basics]
LateDays.lower_grade_F_Natural [in Basics]
LateDays.lower_grade_B_Plus [in Basics]
LateDays.lower_grade_A_Minus [in Basics]
LateDays.lower_grade_A_Natural [in Basics]
LateDays.lower_grade_A_Plus [in Basics]
LateDays.lower_grade [in Basics]
LateDays.lower_letter [in Basics]
LateDays.modifier_comparison [in Basics]
LateDays.test_grade_comparison4 [in Basics]
LateDays.test_grade_comparison3 [in Basics]
LateDays.test_grade_comparison2 [in Basics]
LateDays.test_grade_comparison1 [in Basics]
leaf_case [in IndPrinciples]
leb [in Basics]
lemma_application_ex [in Logic]
length [in Poly]
length_is_1 [in Poly]
list_of_string [in ImpParser]
list123 [in Poly]
list123' [in Poly]
list123'' [in Poly]
list123''' [in Poly]
loop [in Imp]
ltb [in Basics]

## M

manual_grade_for_split_combine [in Tactics]
manual_grade_for_informal_proof [in Tactics]
manual_grade_for_no_whiles_terminating [in Imp]
manual_grade_for_XtimesYinZ_spec [in Imp]
manual_grade_for_negation_fn_applied_twice [in Basics]
manual_grade_for_informal_not_PNP [in Logic]
manual_grade_for_double_neg_inf [in Logic]
manual_grade_for_eqb_refl_informal [in Induction]
manual_grade_for_add_comm_informal [in Induction]
manual_grade_for_ceval_step__ceval_inf [in ImpCEvalFun]
manual_grade_for_check_repeats [in IndProp]
manual_grade_for_NoDup_disjoint_etc [in IndProp]
manual_grade_for_nostutter [in IndProp]
manual_grade_for_nor_intuition [in AltAuto]
manual_grade_for_pumping_redux_strong [in AltAuto]
manual_grade_for_pumping_redux [in AltAuto]
manual_grade_for_re_opt_match'' [in AltAuto]
manual_grade_for_re_opt [in AltAuto]
many [in ImpParser]
many_helper [in ImpParser]
map [in Poly]
matches_regex [in IndProp]
match_eps [in IndProp]
minustwo [in Basics]
monochrome [in Basics]
myblue [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.included [in Lists]
NatList.length [in Lists]
NatList.manual_grade_for_add_inc_count [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.remove_all [in Lists]
NatList.remove_one [in Lists]
NatList.repeat [in Lists]
NatList.rev [in Lists]
NatList.snd [in Lists]
NatList.snd' [in Lists]
NatList.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_included2 [in Lists]
NatList.test_included1 [in Lists]
NatList.test_remove_all4 [in Lists]
NatList.test_remove_all3 [in Lists]
NatList.test_remove_all2 [in Lists]
NatList.test_remove_all1 [in Lists]
NatList.test_remove_one4 [in Lists]
NatList.test_remove_one3 [in Lists]
NatList.test_remove_one2 [in Lists]
NatList.test_remove_one1 [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_to_bin [in Induction]
nat_ind2 [in IndPrinciples]
nat_ind_tidy [in IndPrinciples]
negb [in Basics]
negb' [in Basics]
next_weekday [in Basics]
nonzeros [in AltAuto]
normalize [in Induction]
NotPlayground.not [in Logic]
not_even_1001' [in Logic]
not_even_1001 [in Logic]
no_whiles [in Imp]
nth_error [in Poly]

## O

odd [in Basics]
option_map [in Poly]
orb [in Basics]
orb' [in Basics]
order [in Rel]
or_distributes_over_and [in ProofObjects]
or_bogus [in ProofObjects]

## P

parse [in ImpParser]
parseAExp [in ImpParser]
parseAtomicExp [in ImpParser]
parseBExp [in ImpParser]
parseConjunctionExp [in ImpParser]
parseIdentifier [in ImpParser]
parseNumber [in ImpParser]
parsePrimaryExp [in ImpParser]
parseProductExp [in ImpParser]
parser [in ImpParser]
parseSequencedCommand [in ImpParser]
parseSimpleCommand [in ImpParser]
parseSumExp [in ImpParser]
PartialMap.find [in Lists]
PartialMap.update [in Lists]
partial_function [in Rel]
partial_map [in Maps]
partition [in Poly]
peirce [in Logic]
Playground.lt [in IndProp]
Playground.myblue [in Basics]
plus_claim [in Logic]
plus' [in Basics]
plus2 [in Imp]
plus3 [in Poly]
preorder [in Rel]
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]
pup_to_n [in Imp]
pup_to_n_1 [in ImpCEvalFun]
pup_to_n [in ImpCEvalFun]
P_m0r' [in IndPrinciples]
P_m0r [in IndPrinciples]

## R

reaches_1_in [in IndProp]
redundant_match [in AltAuto]
reflect [in IndPrinciples]
reflexive [in Rel]
refl_matches_eps [in IndProp]
regex_match [in IndProp]
reg_exp_ex4 [in IndProp]
reg_exp_of_list [in IndProp]
reg_exp_ex3 [in IndProp]
reg_exp_ex2 [in IndProp]
reg_exp_ex1 [in IndProp]
relation [in Rel]
repeat [in Poly]
repeat' [in Poly]
repeat'' [in Poly]
repeat''' [in Poly]
rev [in Poly]
rev_append [in Logic]
re_not_empty [in IndProp]
re_chars [in IndProp]
re_opt [in AltAuto]
re_opt_e [in AltAuto]
R.fR [in IndProp]
R.manual_grade_for_R_provability [in IndProp]

## S

sat_ex2 [in AltAuto]
sat_ex1 [in AltAuto]
sillyfun [in Tactics]
sillyfun1 [in Tactics]
snd [in Poly]
split [in Tactics]
split [in Poly]
split_combine_statement [in Tactics]
square [in Tactics]
state [in Imp]
string [in IndProp]
string_of_list [in ImpParser]
subtract_3_from_5_slowly [in Imp]
subtract_slowly [in Imp]
subtract_slowly_body [in Imp]
symmetric [in Rel]
s_compile1 [in Imp]
s_compile [in Imp]
s_execute2 [in Imp]
s_execute1 [in Imp]
s_execute [in Imp]

## T

testParsing [in ImpParser]
test_existsb_4 [in Tactics]
test_existsb_3 [in Tactics]
test_existsb_2 [in Tactics]
test_existsb_1 [in Tactics]
test_forallb_4 [in Tactics]
test_forallb_3 [in Tactics]
test_forallb_2 [in Tactics]
test_forallb_1 [in Tactics]
test_bin_incr6 [in Basics]
test_bin_incr5 [in Basics]
test_bin_incr4 [in Basics]
test_bin_incr3 [in Basics]
test_bin_incr2 [in Basics]
test_bin_incr1 [in Basics]
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_hd_error2 [in Poly]
test_hd_error1 [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]
test_ceval [in ImpCEvalFun]
test_der7 [in IndProp]
test_der6 [in IndProp]
test_der5 [in IndProp]
test_der4 [in IndProp]
test_der3 [in IndProp]
test_der2 [in IndProp]
test_der1 [in IndProp]
test_der0 [in IndProp]
test_nostutter_4 [in IndProp]
test_nostutter_3 [in IndProp]
test_nostutter_2 [in IndProp]
test_nostutter_1 [in IndProp]
token [in ImpParser]
tokenize [in ImpParser]
tokenize_ex1 [in ImpParser]
tokenize_helper [in ImpParser]
total_map [in Maps]
transitive [in Rel]
trans_eq_exercise' [in Tactics]
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]
tr_rev [in Logic]
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 | (3969 entries)
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