Standard Library | The Coq Proof Assistant

The Coq Proof Assistant

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 | (25958 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 | (999 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 | (811 entries)
Variable 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 | (1769 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 | (587 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 | (11879 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 | (960 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 | (508 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 | (307 entries)
Projection 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 | (479 entries)
Section 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 | (495 entries)
Instance 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 | (905 entries)
Abbreviation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1199 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 | (4894 entries)
Record 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 | (166 entries)

## H

HasAbs [module, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasAbs.abs [axiom, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasAbs.abs_neq [axiom, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasAbs.abs_eq [axiom, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasBoolOrdFuns [module, in Coq.Structures.Orders]
HasBoolOrdFuns' [module, in Coq.Structures.Orders]
HasCmp [module, in Coq.Structures.Orders]
HasCmp.compare [axiom, in Coq.Structures.Orders]
HasCompare [module, in Coq.Structures.Orders]
HasEq [module, in Coq.Structures.Equalities]
HasEqb [module, in Coq.Structures.Equalities]
HasEqBool [module, in Coq.Structures.Equalities]
HasEqBool2Dec [module, in Coq.Structures.Equalities]
HasEqBool2Dec.eq_dec [lemma, in Coq.Structures.Equalities]
HasEqb.eqb [axiom, in Coq.Structures.Equalities]
HasEqDec [module, in Coq.Structures.Equalities]
HasEqDec.eq_dec [axiom, in Coq.Structures.Equalities]
HasEqDec2Bool [module, in Coq.Structures.Equalities]
HasEqDec2Bool.eqb [definition, in Coq.Structures.Equalities]
HasEqDec2Bool.eqb_eq [lemma, in Coq.Structures.Equalities]
HasEq.eq [axiom, in Coq.Structures.Equalities]
HasLe [module, in Coq.Structures.Orders]
HasLeb [module, in Coq.Structures.Orders]
HasLeb.leb [axiom, in Coq.Structures.Orders]
HasLe.le [axiom, in Coq.Structures.Orders]
HasLt [module, in Coq.Structures.Orders]
HasLtb [module, in Coq.Structures.Orders]
HasLtb.ltb [axiom, in Coq.Structures.Orders]
HasLt.lt [axiom, in Coq.Structures.Orders]
HasMax [module, in Coq.Structures.GenericMinMax]
HasMax.max [axiom, in Coq.Structures.GenericMinMax]
HasMax.max_r [axiom, in Coq.Structures.GenericMinMax]
HasMax.max_l [axiom, in Coq.Structures.GenericMinMax]
HasMin [module, in Coq.Structures.GenericMinMax]
HasMinMax [module, in Coq.Structures.GenericMinMax]
HasMin.min [axiom, in Coq.Structures.GenericMinMax]
HasMin.min_r [axiom, in Coq.Structures.GenericMinMax]
HasMin.min_l [axiom, in Coq.Structures.GenericMinMax]
HasOrdOps [module, in Coq.MSets.MSetInterface]
HasOrdOps.compare [axiom, in Coq.MSets.MSetInterface]
HasOrdOps.max_elt [axiom, in Coq.MSets.MSetInterface]
HasOrdOps.min_elt [axiom, in Coq.MSets.MSetInterface]
HasSgn [module, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasSgn.sgn [axiom, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasSgn.sgn_neg [axiom, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasSgn.sgn_pos [axiom, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasSgn.sgn_null [axiom, in Coq.Numbers.Integer.Abstract.ZAxioms]
HasUsualEq [module, in Coq.Structures.Equalities]
HasUsualEq.eq [definition, in Coq.Structures.Equalities]
HasWOps [module, in Coq.MSets.MSetInterface]
HasWOps.add [axiom, in Coq.MSets.MSetInterface]
HasWOps.cardinal [axiom, in Coq.MSets.MSetInterface]
HasWOps.choose [axiom, in Coq.MSets.MSetInterface]
HasWOps.diff [axiom, in Coq.MSets.MSetInterface]
HasWOps.elements [axiom, in Coq.MSets.MSetInterface]
HasWOps.empty [axiom, in Coq.MSets.MSetInterface]
HasWOps.equal [axiom, in Coq.MSets.MSetInterface]
HasWOps.exists_ [axiom, in Coq.MSets.MSetInterface]
HasWOps.filter [axiom, in Coq.MSets.MSetInterface]
HasWOps.fold [axiom, in Coq.MSets.MSetInterface]
HasWOps.for_all [axiom, in Coq.MSets.MSetInterface]
HasWOps.inter [axiom, in Coq.MSets.MSetInterface]
HasWOps.is_empty [axiom, in Coq.MSets.MSetInterface]
HasWOps.mem [axiom, in Coq.MSets.MSetInterface]
HasWOps.partition [axiom, in Coq.MSets.MSetInterface]
HasWOps.remove [axiom, in Coq.MSets.MSetInterface]
HasWOps.singleton [axiom, in Coq.MSets.MSetInterface]
HasWOps.subset [axiom, in Coq.MSets.MSetInterface]
HasWOps.union [axiom, in Coq.MSets.MSetInterface]
has_unique_least_element [definition, in Coq.Arith.Wf_nat]
has_quality [definition, in Coq.ssr.ssrbool]
has_fixpoint [record, in Coq.Logic.ClassicalFacts]
has_infinite_path [definition, in Coq.Logic.WKL]
has_lb [definition, in Coq.Reals.SeqProp]
has_ub [definition, in Coq.Reals.SeqProp]
hd [definition, in Coq.Lists.Streams]
hd [abbreviation, in Coq.setoid_ring.Ring_polynom]
hd [definition, in Coq.Lists.List]
hd [definition, in Coq.micromega.Env]
hd [definition, in Coq.Vectors.VectorDef]
HdRel [inductive, in Coq.Sorting.Sorted]
HdRel_inv [lemma, in Coq.Sorting.Sorted]
HdRel_sind [definition, in Coq.Sorting.Sorted]
HdRel_ind [definition, in Coq.Sorting.Sorted]
HdRel_cons [constructor, in Coq.Sorting.Sorted]
HdRel_nil [constructor, in Coq.Sorting.Sorted]
hd_error_skipn [lemma, in Coq.Lists.List]
hd_error_cons [lemma, in Coq.Lists.List]
hd_error_nil [lemma, in Coq.Lists.List]
hd_error_some_nil [lemma, in Coq.Lists.List]
hd_error_tl_repr [lemma, in Coq.Lists.List]
hd_error [definition, in Coq.Lists.List]
head [abbreviation, in Coq.Lists.List]
head_cons [abbreviation, in Coq.Lists.List]
head_nil [abbreviation, in Coq.Lists.List]
head0 [axiom, in Coq.Numbers.Cyclic.Int63.PrimInt63]
head0 [abbreviation, in Coq.Numbers.Cyclic.Int63.Uint63]
head0_spec [axiom, in Coq.Numbers.Cyclic.Int63.Uint63]
head00_spec [lemma, in Coq.Numbers.Cyclic.Int63.Uint63]
Heap [library]
heap_to_list [lemma, in Coq.Sorting.Heap]
heap_exist [constructor, in Coq.Sorting.Heap]
Heine [lemma, in Coq.Reals.Rtopology]
Heine_cor2 [lemma, in Coq.Reals.RiemannInt]
Heine_cor1 [lemma, in Coq.Reals.RiemannInt]
HelloWorld [definition, in Coq.Strings.String]
Here [constructor, in Coq.Lists.Streams]
here [constructor, in Coq.Logic.WKL]
HereAndFurther [constructor, in Coq.Lists.Streams]
Hexadecimal [constructor, in Coq.Init.Number]
Hexadecimal [constructor, in Coq.Init.Hexadecimal]
hexadecimal [inductive, in Coq.Init.Hexadecimal]
Hexadecimal [library]
HexadecimalExp [constructor, in Coq.Init.Hexadecimal]
HexadecimalFacts [library]
HexadecimalN [library]
HexadecimalNat [library]
HexadecimalPos [library]
HexadecimalQ [library]
HexadecimalR [library]
HexadecimalString [library]
HexadecimalZ [library]
hexadecimal_eq_dec [definition, in Coq.Init.Hexadecimal]
HexString [library]
high_bit [definition, in Coq.Numbers.Cyclic.Int63.Uint63]
HLevels [library]
hold [definition, in Coq.micromega.Tauto]
hold_eEQ [lemma, in Coq.micromega.Tauto]
hold_eIFF_IMPL [lemma, in Coq.micromega.Tauto]
hold_eIFF [lemma, in Coq.micromega.Tauto]
hold_eIMPL [lemma, in Coq.micromega.Tauto]
hold_eNOT [lemma, in Coq.micromega.Tauto]
hold_eOR [lemma, in Coq.micromega.Tauto]
hold_eAND [lemma, in Coq.micromega.Tauto]
hold_eFF [lemma, in Coq.micromega.Tauto]
hold_eTT [lemma, in Coq.micromega.Tauto]
hold_eiff [lemma, in Coq.micromega.Tauto]
homoLR [lemma, in Coq.ssr.ssrbool]
homoLR_in [lemma, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip [section, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip.aD [variable, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip.aD' [variable, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip.aR [variable, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip.aT [variable, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip.f [variable, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip.rR [variable, in Coq.ssr.ssrbool]
HomoMonoMorphismFlip.rT [variable, in Coq.ssr.ssrbool]
Homomorphism [module, in Coq.Numbers.Natural.Abstract.NIso]
homomorphism_2 [definition, in Coq.ssr.ssrfun]
homomorphism_1 [definition, in Coq.ssr.ssrfun]
Homomorphism.homomorphism [definition, in Coq.Numbers.Natural.Abstract.NIso]
Homomorphism.hom_nat_iso [lemma, in Coq.Numbers.Natural.Abstract.NIso]
Homomorphism.natural_isomorphism_succ [lemma, in Coq.Numbers.Natural.Abstract.NIso]
Homomorphism.natural_isomorphism_0 [lemma, in Coq.Numbers.Natural.Abstract.NIso]
Homomorphism.natural_isomorphism_wd [instance, in Coq.Numbers.Natural.Abstract.NIso]
Homomorphism.natural_isomorphism [definition, in Coq.Numbers.Natural.Abstract.NIso]
_ == _ [notation, in Coq.Numbers.Natural.Abstract.NIso]
homoRL [lemma, in Coq.ssr.ssrbool]
homoRL_in [lemma, in Coq.ssr.ssrbool]
homo_sym_in11 [lemma, in Coq.ssr.ssrbool]
homo_sym_in [lemma, in Coq.ssr.ssrbool]
homo_sym [lemma, in Coq.ssr.ssrbool]
homo_mono_in [lemma, in Coq.ssr.ssrbool]
homo_mono [lemma, in Coq.ssr.ssrbool]
hprop_hset [lemma, in Coq.Logic.HLevels]
hprop_hprop [lemma, in Coq.Logic.HLevels]
hset_hOneType [lemma, in Coq.Logic.HLevels]
hset_hprop [lemma, in Coq.Logic.HLevels]
Hurkens [library]
Hyp [constructor, in Coq.micromega.Ztac]
hypo [record, in Coq.setoid_ring.InitialRing]
hypo_proof [projection, in Coq.setoid_ring.InitialRing]
hypo_type [projection, in Coq.setoid_ring.InitialRing]
hyps_of_pt [definition, in Coq.micromega.ZMicromega]

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 | (25958 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 | (999 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 | (811 entries)
Variable 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 | (1769 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 | (587 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 | (11879 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 | (960 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 | (508 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 | (307 entries)
Projection 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 | (479 entries)
Section 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 | (495 entries)
Instance 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 | (905 entries)
Abbreviation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1199 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 | (4894 entries)
Record 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 | (166 entries)