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 | (21801 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 | (910 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 | (729 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 | (1464 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 | (494 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 | (10179 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 | (676 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 | (537 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 | (374 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 | (287 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 | (457 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 | (616 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 | (1332 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 | (3609 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 | (137 entries)

## R (definition)

R [in Coq.Vectors.Fin]
R [in Coq.Logic.Berardi]
Rabs [in Coq.Reals.Rbasic_fun]
Ratan_seq [in Coq.Reals.Ratan]
Raw.add [in Coq.FSets.FMapAVL]
Raw.assert_false [in Coq.FSets.FMapAVL]
Raw.at_least_one_then_f [in Coq.FSets.FMapList]
Raw.at_least_one [in Coq.FSets.FMapList]
Raw.at_least_one_then_f [in Coq.FSets.FMapWeakList]
Raw.at_least_one [in Coq.FSets.FMapWeakList]
Raw.at_least_right [in Coq.FSets.FMapWeakList]
Raw.at_least_left [in Coq.FSets.FMapWeakList]
Raw.bal [in Coq.FSets.FMapAVL]
Raw.cardinal [in Coq.FSets.FMapAVL]
Raw.check [in Coq.FSets.FMapWeakList]
Raw.combine [in Coq.FSets.FMapList]
Raw.combine [in Coq.FSets.FMapWeakList]
Raw.combine_r [in Coq.FSets.FMapWeakList]
Raw.combine_l [in Coq.FSets.FMapWeakList]
Raw.concat [in Coq.FSets.FMapAVL]
Raw.cons [in Coq.FSets.FMapAVL]
Raw.create [in Coq.FSets.FMapAVL]
Raw.elements [in Coq.FSets.FMapList]
Raw.elements [in Coq.FSets.FMapWeakList]
Raw.elements [in Coq.FSets.FMapAVL]
Raw.elements_aux [in Coq.FSets.FMapAVL]
Raw.Empty [in Coq.FSets.FMapList]
Raw.empty [in Coq.FSets.FMapList]
Raw.Empty [in Coq.FSets.FMapWeakList]
Raw.empty [in Coq.FSets.FMapWeakList]
Raw.empty [in Coq.FSets.FMapAVL]
Raw.equal [in Coq.FSets.FMapWeakList]
Raw.equal [in Coq.FSets.FMapAVL]
Raw.equal_end [in Coq.FSets.FMapAVL]
Raw.equal_cont [in Coq.FSets.FMapAVL]
Raw.equal_more [in Coq.FSets.FMapAVL]
Raw.Equivb [in Coq.FSets.FMapList]
Raw.Equivb [in Coq.FSets.FMapWeakList]
Raw.find [in Coq.FSets.FMapAVL]
Raw.fold [in Coq.FSets.FMapAVL]
Raw.fold_right_pair [in Coq.FSets.FMapList]
Raw.fold_right_pair [in Coq.FSets.FMapWeakList]
Raw.gt_tree [in Coq.FSets.FMapAVL]
Raw.height [in Coq.FSets.FMapAVL]
Raw.In0 [in Coq.FSets.FMapAVL]
Raw.is_empty [in Coq.FSets.FMapList]
Raw.is_empty [in Coq.FSets.FMapWeakList]
Raw.is_empty [in Coq.FSets.FMapAVL]
Raw.join [in Coq.FSets.FMapAVL]
Raw.key [in Coq.FSets.FMapList]
Raw.key [in Coq.FSets.FMapWeakList]
Raw.key [in Coq.FSets.FMapAVL]
Raw.lt_tree [in Coq.FSets.FMapAVL]
Raw.map [in Coq.FSets.FMapList]
Raw.map [in Coq.FSets.FMapWeakList]
Raw.map [in Coq.FSets.FMapAVL]
Raw.mapi [in Coq.FSets.FMapList]
Raw.mapi [in Coq.FSets.FMapWeakList]
Raw.mapi [in Coq.FSets.FMapAVL]
Raw.map_option [in Coq.FSets.FMapAVL]
Raw.map2 [in Coq.FSets.FMapList]
Raw.map2 [in Coq.FSets.FMapWeakList]
Raw.map2 [in Coq.FSets.FMapAVL]
Raw.map2_alt [in Coq.FSets.FMapList]
Raw.map2_r [in Coq.FSets.FMapList]
Raw.map2_l [in Coq.FSets.FMapList]
Raw.map2_opt [in Coq.FSets.FMapAVL]
Raw.mem [in Coq.FSets.FMapAVL]
Raw.merge [in Coq.FSets.FMapAVL]
Raw.of_pos [in Coq.Strings.BinaryString]
Raw.of_pos [in Coq.Strings.OctalString]
Raw.of_pos [in Coq.Strings.HexString]
Raw.option_cons [in Coq.FSets.FMapList]
Raw.option_cons [in Coq.FSets.FMapWeakList]
Raw.Proofs.Empty [in Coq.FSets.FMapAVL]
Raw.Proofs.Equivb [in Coq.FSets.FMapAVL]
Raw.Proofs.flatten_e [in Coq.FSets.FMapAVL]
Raw.Proofs.fold' [in Coq.FSets.FMapAVL]
Raw.Proofs.IfEq [in Coq.FSets.FMapAVL]
Raw.remove [in Coq.FSets.FMapAVL]
Raw.remove_min [in Coq.FSets.FMapAVL]
Raw.split [in Coq.FSets.FMapAVL]
Raw.Submap [in Coq.FSets.FMapWeakList]
Raw.submap [in Coq.FSets.FMapWeakList]
Raw.t [in Coq.FSets.FMapList]
Raw.t [in Coq.FSets.FMapWeakList]
Raw.to_N_of_pos [in Coq.Strings.BinaryString]
Raw.to_N [in Coq.Strings.BinaryString]
Raw.to_N_of_pos [in Coq.Strings.OctalString]
Raw.to_N [in Coq.Strings.OctalString]
Raw.to_N_of_pos [in Coq.Strings.HexString]
Raw.to_N [in Coq.Strings.HexString]
Raw2SetsOn.compare [in Coq.MSets.MSetInterface]
Raw2SetsOn.lt [in Coq.MSets.MSetInterface]
Raw2SetsOn.max_elt [in Coq.MSets.MSetInterface]
Raw2SetsOn.min_elt [in Coq.MSets.MSetInterface]
Rcompare [in Coq.Reals.ROrderedType]
rdeduce [in Coq.micromega.RMicromega]
Rdiv [in Coq.Reals.Rdefinitions]
recl [in Coq.Numbers.Cyclic.Int31.Int31]
recl_aux [in Coq.Numbers.Cyclic.Int31.Int31]
recr [in Coq.Numbers.Cyclic.Int31.Int31]
recrbis [in Coq.Numbers.Cyclic.Int31.Cyclic31]
recrbis_aux [in Coq.Numbers.Cyclic.Int31.Cyclic31]
recr_aux [in Coq.Numbers.Cyclic.Int31.Int31]
rectS [in Coq.Vectors.Fin]
rectS [in Coq.Vectors.VectorDef]
rect2 [in Coq.Vectors.Fin]
rect2 [in Coq.Vectors.VectorDef]
reduce [in Coq.btauto.Algebra]
reduce_aux [in Coq.btauto.Algebra]
reflexive [in Coq.ssr.ssrbool]
Reflexive [in Coq.Sets.Relations_1]
reflexive [in Coq.Relations.Relation_Definitions]
Rel [in Coq.Sets.Partial_Order]
rel [in Coq.ssr.ssrbool]
Relation [in Coq.Sets.Relations_1]
relation [in Coq.Relations.Relation_Definitions]
RelationalChoice_on [in Coq.Logic.ChoiceFacts]
relation_disjunction [in Coq.Classes.CRelationClasses]
relation_conjunction [in Coq.Classes.CRelationClasses]
relation_equivalence [in Coq.Classes.CRelationClasses]
relation_disjunction [in Coq.Classes.RelationClasses]
relation_conjunction [in Coq.Classes.RelationClasses]
relation_equivalence [in Coq.Classes.RelationClasses]
RelCompFun [in Coq.Classes.RelationPairs]
RelProd [in Coq.Classes.RelationPairs]
relU [in Coq.ssr.ssrbool]
rel_prime_dec [in Coq.ZArith.Znumtheory]
rel_prime [in Coq.ZArith.Znumtheory]
Remainder [in Coq.ZArith.Zquot]
Remainder [in Coq.ZArith.Zdiv]
Remainder_alt [in Coq.ZArith.Zquot]
Remainder_alt [in Coq.ZArith.Zdiv]
remove [in Coq.Lists.List]
removeA [in Coq.Lists.SetoidList]
removelast [in Coq.Lists.List]
repeat [in Coq.Lists.List]
replace [in Coq.Vectors.VectorDef]
replace_order [in Coq.Vectors.VectorDef]
RepresentativeFunctionalChoice_on [in Coq.Logic.ChoiceFacts]
Reqb [in Coq.Reals.ROrderedType]
respectful [in Coq.Classes.Morphisms]
respectful [in Coq.Classes.CMorphisms]
respectful_hetero [in Coq.Classes.Morphisms]
respectful_hetero [in Coq.Classes.CMorphisms]
respecting [in Coq.Classes.CEquivalence]
respecting [in Coq.Classes.Equivalence]
Reste [in Coq.Reals.Cos_rel]
Reste_E [in Coq.Reals.Exp_prop]
Reste1 [in Coq.Reals.Cos_rel]
Reste2 [in Coq.Reals.Cos_rel]
returnType [in Coq.ssr.ssreflect]
rev [in Coq.Init.Decimal]
rev [in Coq.Vectors.VectorDef]
rev [in Coq.Lists.List]
Reval_formula' [in Coq.micromega.RMicromega]
Reval_formula [in Coq.micromega.RMicromega]
Reval_op2 [in Coq.micromega.RMicromega]
Reval_expr [in Coq.micromega.RMicromega]
revapp [in Coq.Init.Decimal]
rev_left_loop [in Coq.ssr.ssrfun]
rev_right_loop [in Coq.ssr.ssrfun]
rev_append [in Coq.Vectors.VectorDef]
rev_append_tail [in Coq.Vectors.VectorDef]
rev_append [in Coq.Lists.List]
rev' [in Coq.Lists.List]
Rge [in Coq.Reals.Rdefinitions]
Rgt [in Coq.Reals.Rdefinitions]
RHasMinMax.max [in Coq.Reals.Rminmax]
RHasMinMax.max_r [in Coq.Reals.Rminmax]
RHasMinMax.max_l [in Coq.Reals.Rminmax]
RHasMinMax.min [in Coq.Reals.Rminmax]
RHasMinMax.min_r [in Coq.Reals.Rminmax]
RHasMinMax.min_l [in Coq.Reals.Rminmax]
RiemannInt [in Coq.Reals.RiemannInt]
RiemannInt_SF [in Coq.Reals.RiemannInt_SF]
Riemann_integrable [in Coq.Reals.RiemannInt]
RightDistributivityImplicationOverDisjunction [in Coq.Logic.ClassicalFacts]
right_transitive [in Coq.ssr.ssrbool]
right_distributive [in Coq.ssr.ssrfun]
right_zero [in Coq.ssr.ssrfun]
right_loop [in Coq.ssr.ssrfun]
right_commutative [in Coq.ssr.ssrfun]
right_id [in Coq.ssr.ssrfun]
right_injective [in Coq.ssr.ssrfun]
right_inverse [in Coq.ssr.ssrfun]
ring_subst_niter [in Coq.setoid_ring.Ring_tac]
RinvN [in Coq.Reals.RiemannInt]
Rle [in Coq.Reals.Rdefinitions]
Rlength [in Coq.Reals.RList]
Rln [in Coq.Reals.Rpower]
Rmax [in Coq.Reals.Rbasic_fun]
Rmax_N [in Coq.Reals.Rseries]
Rmin [in Coq.Reals.Rbasic_fun]
Rminus [in Coq.Reals.Rdefinitions]
Rnegate [in Coq.micromega.RMicromega]
Rnormalise [in Coq.micromega.RMicromega]
Ropp_Ropp_IZR [in Coq.Reals.RIneq]
Rops_wd [in Coq.micromega.RingMicromega]
Rpower [in Coq.Reals.Rpower]
RRle_abs [in Coq.Reals.Rbasic_fun]
Rsqr [in Coq.Reals.RIneq]
Rsqrt [in Coq.Reals.Rsqrt_def]
Rsrt [in Coq.micromega.RMicromega]
Rtail [in Coq.Reals.RList]
RTautoChecker [in Coq.micromega.RMicromega]
Rtheory [in Coq.nsatz.Nsatz]
runsat [in Coq.micromega.RMicromega]
RWeakChecker [in Coq.micromega.RMicromega]
RWitness [in Coq.micromega.RMicromega]
R_of_Rcst [in Coq.micromega.RMicromega]
R_met [in Coq.Reals.Rlimit]
R_dist [in Coq.Reals.Rfunctions]
R_as_OT.compare_spec [in Coq.Reals.ROrderedType]
R_as_OT.compare [in Coq.Reals.ROrderedType]
R_as_OT.le [in Coq.Reals.ROrderedType]
R_as_OT.lt [in Coq.Reals.ROrderedType]
R_as_UBE.eqb_eq [in Coq.Reals.ROrderedType]
R_as_UBE.eqb [in Coq.Reals.ROrderedType]
R_as_UBE.eq [in Coq.Reals.ROrderedType]
R_as_UBE.t [in Coq.Reals.ROrderedType]
r_list_pow [in Coq.setoid_ring.Ring_polynom]
R2 [in Coq.nsatz.Nsatz]

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 | (21801 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 | (910 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 | (729 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 | (1464 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 | (494 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 | (10179 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 | (676 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 | (537 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 | (374 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 | (287 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 | (457 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 | (616 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 | (1332 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 | (3609 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 | (137 entries)