The Coq standard library

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 | _ | (3647 entries)
Tactic 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 | _ | (9 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 | _ | (107 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 | _ | (2540 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 | _ | (184 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 | _ | (118 entries)
Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (523 entries)
Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (166 entries)

## E

EGAL [constructor, in Coq.ZArith.fast_integer]
Elems [definition, in Coq.IntMap.Maplists]
Elems_app [lemma, in Coq.IntMap.Maplists]
Elems_canon [lemma, in Coq.IntMap.Maplists]
Elems_of_list_of_dom [lemma, in Coq.IntMap.Maplists]
Elems_of_list_of_dom_c [lemma, in Coq.IntMap.Maplists]
Elems_rev [lemma, in Coq.IntMap.Maplists]
ElimCompare [definition, in Coq.ZArith.zarith_aux]
Elimdep [module]
EmptyBag [definition, in Coq.Sets.Multiset]
Emptyset [definition, in Coq.Sets.Uniset]
EmptyT [inductive, in Coq.Init.Logic_Type]
Empty_is_finite [constructor, in Coq.Sets.Finite_sets]
Empty_set [inductive, in Coq.Sets.Ensembles]
Empty_set [inductive, in Coq.Init.Datatypes]
empty_set [definition, in Coq.Lists.ListSet]
Empty_set_is_Bottom [lemma, in Coq.Sets.Powerset]
Empty_set_minimal [lemma, in Coq.Sets.Powerset]
Empty_set_zero [lemma, in Coq.Sets.Powerset_facts]
Empty_set_zero' [lemma, in Coq.Sets.Powerset_facts]
Ensemble [definition, in Coq.Sets.Ensembles]
Ensembles [module]
entier [inductive, in Coq.ZArith.fast_integer]
entier_of_Z [definition, in Coq.ZArith.Zmisc]
eps2 [lemma, in Coq.Reals.Rlimit]
eps2_Rgt_R0 [lemma, in Coq.Reals.Rlimit]
eps4 [lemma, in Coq.Reals.Rlimit]
eq [inductive, in Coq.Init.Logic]
eq [axiom, in Coq.Num.Definitions]
EqAxioms [module]
eqb [definition, in Coq.Bool.Bool]
eqb_eq [lemma, in Coq.Bool.Bool]
eqb_negb1 [lemma, in Coq.Bool.Bool]
eqb_negb2 [lemma, in Coq.Bool.Bool]
eqb_prop [lemma, in Coq.Bool.Bool]
eqb_refl [lemma, in Coq.Bool.Bool]
eqb_reflx [lemma, in Coq.Bool.Bool]
eqb_subst [lemma, in Coq.Bool.Bool]
Eqdep [module]
Eqdep_dec [module]
eqf [definition, in Coq.IntMap.Addr]
eqf_refl [lemma, in Coq.IntMap.Addr]
eqf_sym [lemma, in Coq.IntMap.Addr]
eqf_trans [lemma, in Coq.IntMap.Addr]
eqf_xor_1 [lemma, in Coq.IntMap.Addr]
eqm [definition, in Coq.IntMap.Map]
eqmap [definition, in Coq.IntMap.Mapaxioms]
eqmap_refl [lemma, in Coq.IntMap.Mapaxioms]
eqmap_sym [lemma, in Coq.IntMap.Mapaxioms]
eqmap_trans [lemma, in Coq.IntMap.Mapaxioms]
eqm_refl [lemma, in Coq.IntMap.Mapaxioms]
eqm_sym [lemma, in Coq.IntMap.Mapaxioms]
eqm_trans [lemma, in Coq.IntMap.Mapaxioms]
eqN [axiom, in Coq.Num.EqParams]
EqNat [module]
EqParams [module]
eqst [constructor, in Coq.Lists.Streams]
EqSt [inductive, in Coq.Lists.Streams]
eqst_ntheq [lemma, in Coq.Lists.Streams]
EqSt_reflex [lemma, in Coq.Lists.Streams]
eqT [inductive, in Coq.Init.Logic_Type]
eqT2eq [definition, in Coq.Logic.Eqdep_dec]
eqT_eq_bij [lemma, in Coq.Logic.Eqdep_dec]
eqT_ind_r [definition, in Coq.Init.Logic_Type]
equiv [definition, in Coq.Relations.Relation_Definitions]
Equivalence [inductive, in Coq.Sets.Relations_1]
equiv_eqex_eqdep [lemma, in Coq.Logic.Eqdep]
Equiv_from_order [lemma, in Coq.Sets.Relations_1_facts]
Equiv_from_preorder [lemma, in Coq.Sets.Relations_1_facts]
equiv_Tree [definition, in Coq.Sorting.Heap]
eq2eqT [definition, in Coq.Logic.Eqdep_dec]
eq_add_S [lemma, in Coq.Init.Peano]
eq_dec [definition, in Coq.Bool.BoolEq]
eq_dep [inductive, in Coq.Logic.Eqdep]
eq_dep1 [inductive, in Coq.Logic.Eqdep]
eq_dep1_dep [lemma, in Coq.Logic.Eqdep]
eq_dep1_eq [lemma, in Coq.Logic.Eqdep]
eq_dep1_intro [constructor, in Coq.Logic.Eqdep]
eq_dep_dep1 [lemma, in Coq.Logic.Eqdep]
eq_dep_eq [lemma, in Coq.Logic.Eqdep]
eq_dep_intro [constructor, in Coq.Logic.Eqdep]
eq_dep_sym [lemma, in Coq.Logic.Eqdep]
eq_dep_trans [lemma, in Coq.Logic.Eqdep]
eq_eqT_bij [lemma, in Coq.Logic.Eqdep_dec]
eq_eq_nat [lemma, in Coq.Arith.EqNat]
eq_fct [lemma, in Coq.Reals.Ranalysis]
eq_ind_r [definition, in Coq.Init.Logic]
eq_IZR [lemma, in Coq.Reals.Rbase]
eq_IZR_R0 [lemma, in Coq.Reals.Rbase]
eq_le [lemma, in Coq.Num.LeProps]
eq_lt_x_Sy [lemma, in Coq.Num.LtProps]
eq_nat [definition, in Coq.Arith.EqNat]
eq_nat_dec [lemma, in Coq.Arith.Peano_dec]
eq_nat_decide [lemma, in Coq.Arith.EqNat]
eq_nat_elim [lemma, in Coq.Arith.EqNat]
eq_nat_eq [lemma, in Coq.Arith.EqNat]
eq_nat_refl [lemma, in Coq.Arith.EqNat]
eq_not_lt [lemma, in Coq.Num.LtProps]
eq_not_neq [lemma, in Coq.Num.NeqDef]
eq_not_neq [axiom, in Coq.Num.NeqAxioms]
eq_not_neq_y_x [lemma, in Coq.Num.NeqProps]
eq_proofs_unicity [lemma, in Coq.Logic.Eqdep_dec]
eq_rect_r [definition, in Coq.Init.Logic]
eq_rec_eq [axiom, in Coq.Logic.Eqdep]
eq_rec_r [definition, in Coq.Init.Logic]
eq_refl [axiom, in Coq.Num.EqAxioms]
eq_refl [axiom, in Coq.Num.Axioms]
eq_Rge [lemma, in Coq.Reals.Rbase]
eq_Rge_sym [lemma, in Coq.Reals.Rbase]
eq_Rle [lemma, in Coq.Reals.Rbase]
eq_Rle_sym [lemma, in Coq.Reals.Rbase]
eq_Rminus [lemma, in Coq.Reals.Rbase]
eq_Ropp [lemma, in Coq.Reals.Rbase]
eq_RoppO [lemma, in Coq.Reals.Rbase]
eq_S [definition, in Coq.Init.Peano]
eq_sym [axiom, in Coq.Num.Axioms]
eq_sym [axiom, in Coq.Num.EqAxioms]
eq_trans [axiom, in Coq.Num.Axioms]
eq_trans [axiom, in Coq.Num.EqAxioms]
eq_true_false_abs [lemma, in Coq.Bool.Bool]
error [definition, in Coq.Init.Specif]
Error [definition, in Coq.Init.Specif]
Euclid [module]
eucl_dev [lemma, in Coq.Arith.Euclid]
EUn [definition, in Coq.Reals.Rseries]
EUn_noempty [lemma, in Coq.Reals.Rseries]
even [inductive, in Coq.Arith.Even]
Even [module]
eventually [definition, in Coq.Arith.Between]
event_O [lemma, in Coq.Arith.Between]
even_div2 [lemma, in Coq.Arith.Div2]
even_double [lemma, in Coq.Arith.Div2]
even_even_plus [lemma, in Coq.Arith.Even]
even_mult_aux [lemma, in Coq.Arith.Even]
even_mult_inv_l [lemma, in Coq.Arith.Even]
even_mult_inv_r [lemma, in Coq.Arith.Even]
even_mult_l [lemma, in Coq.Arith.Even]
even_mult_r [lemma, in Coq.Arith.Even]
even_O [constructor, in Coq.Arith.Even]
even_odd_dec [lemma, in Coq.Arith.Even]
even_odd_div2 [lemma, in Coq.Arith.Div2]
even_odd_double [lemma, in Coq.Arith.Div2]
even_or_odd [lemma, in Coq.Arith.Even]
even_plus_aux [lemma, in Coq.Arith.Even]
even_plus_even_inv_l [lemma, in Coq.Arith.Even]
even_plus_even_inv_r [lemma, in Coq.Arith.Even]
even_plus_odd_inv_l [lemma, in Coq.Arith.Even]
even_plus_odd_inv_r [lemma, in Coq.Arith.Even]
even_S [constructor, in Coq.Arith.Even]
even_2n [lemma, in Coq.Arith.Div2]
ex [inductive, in Coq.Init.Logic]
Ex [definition, in Coq.Init.Logic]
Exc [definition, in Coq.Init.Specif]
except [definition, in Coq.Init.Specif]
Except [definition, in Coq.Init.Specif]
exist [constructor, in Coq.Init.Specif]
Exists [inductive, in Coq.Lists.Streams]
existS [constructor, in Coq.Init.Specif]
exists [inductive, in Coq.Arith.Between]
existS2 [constructor, in Coq.Init.Specif]
exists_beq_eq [definition, in Coq.Bool.BoolEq]
exists_in_int [lemma, in Coq.Arith.Between]
exists_le [constructor, in Coq.Arith.Between]
exists_le_S [lemma, in Coq.Arith.Between]
exists_lt [lemma, in Coq.Arith.Between]
exists_S [constructor, in Coq.Arith.Between]
exists_S_le [lemma, in Coq.Arith.Between]
existT [constructor, in Coq.Init.Specif]
existT [constructor, in Coq.Reals.TypeSyntax]
existTT [constructor, in Coq.Reals.TypeSyntax]
exist2 [constructor, in Coq.Init.Specif]
exT [inductive, in Coq.Init.Logic_Type]
ExT [definition, in Coq.Init.Logic_Type]
Extension [lemma, in Coq.Sets.Constructive_sets]
Extensionality_Ensembles [axiom, in Coq.Sets.Ensembles]
ExT2 [definition, in Coq.Init.Logic_Type]
exT2 [inductive, in Coq.Init.Logic_Type]
exT_intro [constructor, in Coq.Init.Logic_Type]
exT_intro2 [constructor, in Coq.Init.Logic_Type]
ex2 [inductive, in Coq.Init.Logic]
Ex2 [definition, in Coq.Init.Logic]
ex_intro [constructor, in Coq.Init.Logic]
ex_intro2 [constructor, in Coq.Init.Logic]
ex_not_not_all [lemma, in Coq.Logic.Classical_Pred_Type]
ex_not_not_all [lemma, in Coq.Logic.Classical_Pred_Set]

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 | _ | (3647 entries)
Tactic 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 | _ | (9 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 | _ | (107 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 | _ | (2540 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 | _ | (184 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 | _ | (118 entries)
Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (523 entries)
Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (166 entries)