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 | (25786 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 | (996 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 | (807 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 | (1538 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 | (584 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 | (11835 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 | (956 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 | (627 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 | (306 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 | (475 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 | (493 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 | (903 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 | (1194 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 | (4910 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 | (162 entries)

## F (definition)

f [in Coq.Logic.Berardi]
F [in Coq.micromega.ZMicromega]
fact [in Coq.Arith.Factorial]
FalseP [in Coq.Logic.ClassicalFacts]
false_predicate [in Coq.Classes.RelationClasses]
False_sind [in Coq.Init.Logic]
False_rec [in Coq.Init.Logic]
False_ind [in Coq.Init.Logic]
False_rect [in Coq.Init.Logic]
family_closed_set [in Coq.Reals.Rtopology]
family_finite [in Coq.Reals.Rtopology]
family_open_set [in Coq.Reals.Rtopology]
Fapp [in Coq.setoid_ring.Field_theory]
fast_Zred_factor6 [in Coq.omega.OmegaLemmas]
fast_Zred_factor5 [in Coq.omega.OmegaLemmas]
fast_Zred_factor4 [in Coq.omega.OmegaLemmas]
fast_Zred_factor3 [in Coq.omega.OmegaLemmas]
fast_Zred_factor2 [in Coq.omega.OmegaLemmas]
fast_Zred_factor1 [in Coq.omega.OmegaLemmas]
fast_Zmult_assoc_reverse [in Coq.omega.OmegaLemmas]
fast_Zmult_plus_distr_l [in Coq.omega.OmegaLemmas]
fast_Zopp_mult_distr_r [in Coq.omega.OmegaLemmas]
fast_Zopp_plus_distr [in Coq.omega.OmegaLemmas]
fast_Zmult_comm [in Coq.omega.OmegaLemmas]
fast_Zopp_eq_mult_neg_1 [in Coq.omega.OmegaLemmas]
fast_Zred_factor0 [in Coq.omega.OmegaLemmas]
fast_OMEGA14 [in Coq.omega.OmegaLemmas]
fast_OMEGA13 [in Coq.omega.OmegaLemmas]
fast_OMEGA16 [in Coq.omega.OmegaLemmas]
fast_OMEGA15 [in Coq.omega.OmegaLemmas]
fast_OMEGA12 [in Coq.omega.OmegaLemmas]
fast_OMEGA11 [in Coq.omega.OmegaLemmas]
fast_OMEGA10 [in Coq.omega.OmegaLemmas]
fast_Zplus_permute [in Coq.omega.OmegaLemmas]
fast_Zplus_assoc [in Coq.omega.OmegaLemmas]
fast_Zplus_assoc_reverse [in Coq.omega.OmegaLemmas]
fast_Zplus_comm [in Coq.omega.OmegaLemmas]
Fcons [in Coq.setoid_ring.Field_theory]
Fcons0 [in Coq.setoid_ring.Field_theory]
Fcons00 [in Coq.setoid_ring.Field_theory]
Fcons1 [in Coq.setoid_ring.Field_theory]
Fcons2 [in Coq.setoid_ring.Field_theory]
fct_cte [in Coq.Reals.Ranalysis1]
FEeval [in Coq.setoid_ring.Field_theory]
fexp [in Coq.Floats.SpecFloat]
FExpr_sind [in Coq.setoid_ring.Field_theory]
FExpr_rec [in Coq.setoid_ring.Field_theory]
FExpr_ind [in Coq.setoid_ring.Field_theory]
FExpr_rect [in Coq.setoid_ring.Field_theory]
FF [in Coq.Reals.RList]
fg_id' [in Coq.Logic.Adjointification]
fibonacci [in Coq.ZArith.Zgcd_alt]
filter [in Coq.Lists.List]
find [in Coq.Lists.List]
find [in Coq.micromega.VarMap]
findA [in Coq.Lists.SetoidList]
findex [in Coq.Strings.String]
Finite [in Coq.Logic.FinFun]
Finite_sind [in Coq.Sets.Finite_sets]
Finite_ind [in Coq.Sets.Finite_sets]
Finite' [in Coq.Logic.FinFun]
Fin2Restrict.extend [in Coq.Logic.FinFun]
Fin2Restrict.f2n [in Coq.Logic.FinFun]
Fin2Restrict.f2n_inj [in Coq.Logic.FinFun]
Fin2Restrict.f2n_n2f [in Coq.Logic.FinFun]
Fin2Restrict.f2n_ok [in Coq.Logic.FinFun]
Fin2Restrict.n2f_ext [in Coq.Logic.FinFun]
Fin2Restrict.n2f_f2n [in Coq.Logic.FinFun]
Fin2Restrict.restrict [in Coq.Logic.FinFun]
firstn [in Coq.Lists.List]
first_two_in_interval [in Coq.Reals.Runcountable]
first_in_holed_interval [in Coq.Reals.Runcountable]
Fix [in Coq.Init.Wf]
Fix_sub [in Coq.Program.Wf]
Fix_F_sub [in Coq.Program.Wf]
Fix_F_2 [in Coq.Init.Wf]
Fix_F [in Coq.Init.Wf]
fix_proto [in Coq.Program.Tactics]
flatten_cmp_opt [in Coq.Floats.FloatAxioms]
flat_map [in Coq.Lists.List]
flat_spec_sind [in Coq.Sorting.Heap]
flat_spec_rec [in Coq.Sorting.Heap]
flat_spec_ind [in Coq.Sorting.Heap]
flat_spec_rect [in Coq.Sorting.Heap]
flip [in Coq.Classes.CRelationClasses]
flip [in Coq.Program.Basics]
flip_Antisymmetric [in Coq.Classes.RelationClasses]
flip_Transitive [in Coq.Classes.RelationClasses]
flip_Asymmetric [in Coq.Classes.RelationClasses]
flip_Symmetric [in Coq.Classes.RelationClasses]
flip_Irreflexive [in Coq.Classes.RelationClasses]
flip_proper [in Coq.Classes.Morphisms]
flip_proper [in Coq.Classes.CMorphisms]
flip_Antisymmetric [in Coq.Classes.CRelationClasses]
flip_Transitive [in Coq.Classes.CRelationClasses]
flip_Asymmetric [in Coq.Classes.CRelationClasses]
flip_Symmetric [in Coq.Classes.CRelationClasses]
flip_Irreflexive [in Coq.Classes.CRelationClasses]
floor [in Coq.ZArith.Zcomplements]
floor_pos [in Coq.ZArith.Zcomplements]
Fnorm [in Coq.setoid_ring.Field_theory]
foldA [in Coq.micromega.Tauto]
fold_right [in Coq.Lists.List]
fold_left [in Coq.Lists.List]
fold_left2 [in Coq.Vectors.VectorDef]
fold_right2 [in Coq.Vectors.VectorDef]
fold_right [in Coq.Vectors.VectorDef]
fold_left [in Coq.Vectors.VectorDef]
forallb [in Coq.Lists.List]
ForallOrdPairs_sind [in Coq.Lists.List]
ForallOrdPairs_ind [in Coq.Lists.List]
ForallPairs [in Coq.Lists.List]
Forall_sind [in Coq.Lists.List]
Forall_ind [in Coq.Lists.List]
forall_relation [in Coq.Classes.Morphisms]
forall_def [in Coq.Classes.Morphisms]
forall_eq_rect_comp [in Coq.Logic.FunctionalExtensionality]
forall_eq_rect [in Coq.Logic.FunctionalExtensionality]
forall_relation [in Coq.Classes.CMorphisms]
forall_def [in Coq.Classes.CMorphisms]
Forall_sind [in Coq.Vectors.VectorDef]
Forall_ind [in Coq.Vectors.VectorDef]
Forall2_sind [in Coq.Lists.List]
Forall2_ind [in Coq.Lists.List]
Forall2_sind [in Coq.Vectors.VectorDef]
Forall2_ind [in Coq.Vectors.VectorDef]
formula_eval [in Coq.btauto.Reflect]
formula_sind [in Coq.btauto.Reflect]
formula_rec [in Coq.btauto.Reflect]
formula_ind [in Coq.btauto.Reflect]
formula_rect [in Coq.btauto.Reflect]
form_eq [in Coq.rtauto.Rtauto]
form_sind [in Coq.rtauto.Rtauto]
form_rec [in Coq.rtauto.Rtauto]
form_ind [in Coq.rtauto.Rtauto]
form_rect [in Coq.rtauto.Rtauto]
frac_part [in Coq.Reals.R_Ifp]
frame_tan [in Coq.Reals.Ratan]
fst [in Coq.Init.Datatypes]
FS_inj [in Coq.Vectors.Fin]
Full [in Coq.Logic.FinFun]
Fullset [in Coq.Sets.Uniset]
Full_set_sind [in Coq.Sets.Ensembles]
Full_set_ind [in Coq.Sets.Ensembles]
Full_sind [in Coq.rtauto.Bintree]
Full_rec [in Coq.rtauto.Bintree]
Full_ind [in Coq.rtauto.Bintree]
Full_rect [in Coq.rtauto.Bintree]
FunctionalChoice_on [in Coq.Logic.ChoiceFacts]
FunctionalChoice_on_rel [in Coq.Logic.ChoiceFacts]
FunctionalCountableChoice_on [in Coq.Logic.ChoiceFacts]
FunctionalDependentChoice_on [in Coq.Logic.ChoiceFacts]
FunctionalRelReification_on [in Coq.Logic.ChoiceFacts]
functional_extensionality_dep_good [in Coq.Logic.FunctionalExtensionality]
fun_of_simpl [in Coq.ssr.ssrfun]
f_equal2_mult [in Coq.Init.Peano]
f_equal2_nat [in Coq.Init.Peano]
f_equal2_plus [in Coq.Init.Peano]
f_equal_pred [in Coq.Init.Peano]
f_equal_nat [in Coq.Init.Peano]
f_equal__functional_extensionality_dep_good__fun [in Coq.Logic.FunctionalExtensionality]
f_equal__functional_extensionality_dep_good [in Coq.Logic.FunctionalExtensionality]
f_equal_R [in Coq.Reals.RIneq]
f_adjoint [in Coq.Logic.Adjointification]
f_adjoint_gives_g_adjoint [in Coq.Logic.Adjointification]
f_adjoint_gives_g_adjoint_pointwise [in Coq.Logic.Adjointification]
F2AF [in Coq.setoid_ring.Field_theory]

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 | (25786 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 | (996 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 | (807 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 | (1538 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 | (584 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 | (11835 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 | (956 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 | (627 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 | (306 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 | (475 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 | (493 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 | (903 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 | (1194 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 | (4910 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 | (162 entries)