Standard Library | The Coq Proof Assistant

Global Index

(68863 entries)

Notation Index

F

J

K

T

X

Y

_

(985 entries)

Binder Index

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other

(44709 entries)

Module Index

J

X

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other

(761 entries)

Variable Index

H

J

Q

V

X

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other

(1497 entries)

Library Index

K

X

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other

(570 entries)

Lemma Index

other

(11380 entries)

Constructor Index

K

Y

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other

(976 entries)

Axiom Index

K

V

X

Y

_

other

(603 entries)

Inductive Index

K

X

Y

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other

(298 entries)

Projection Index

G

K

V

X

Y

_

other

(460 entries)

Section Index

H

J

Q

X

Y

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other

(476 entries)

Instance Index

J

V

X

Y

_

other

(811 entries)

Abbreviation Index

J

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other

(1157 entries)

Definition Index

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other

(4018 entries)

Record Index

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V

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other

(162 entries)

F (lemma)

factorDenom [in Coq.Reals.Cauchy.ConstructiveCauchyRealsMult]
fact_simpl [in Coq.Reals.Rfunctions]
fact_le [in Coq.Arith.Factorial]
fact_neq_0 [in Coq.Arith.Factorial]
fact_prodSO [in Coq.Reals.Rprod]
false_le [in Coq.Bool.BoolOrder]
false_hprop [in Coq.Logic.HLevels]
family_P1 [in Coq.Reals.Rtopology]
fcons_ok [in Coq.setoid_ring.Field_theory]
fibonacci_incr [in Coq.ZArith.Zgcd_alt]
fibonacci_pos [in Coq.ZArith.Zgcd_alt]
Field_simplify_eq_in_correct [in Coq.setoid_ring.Field_theory]
Field_simplify_eq_pow_in_correct [in Coq.setoid_ring.Field_theory]
Field_simplify_aux_ok [in Coq.setoid_ring.Field_theory]
Field_simplify_eq_pow_correct [in Coq.setoid_ring.Field_theory]
Field_simplify_eq_correct [in Coq.setoid_ring.Field_theory]
Field_correct [in Coq.setoid_ring.Field_theory]
Field_rw_pow_correct [in Coq.setoid_ring.Field_theory]
Field_rw_correct [in Coq.setoid_ring.Field_theory]
field_is_integral_domain [in Coq.setoid_ring.Field_theory]
filter_ext [in Coq.Lists.List]
filter_ext_in_iff [in Coq.Lists.List]
filter_ext_in [in Coq.Lists.List]
filter_map [in Coq.Lists.List]
filter_app [in Coq.Lists.List]
filter_In [in Coq.Lists.List]
filter_split [in Coq.Lists.SetoidList]
filter_InA [in Coq.Lists.SetoidList]
filter_sort [in Coq.Lists.SetoidList]
findA_NoDupA [in Coq.Lists.SetoidList]
find_none [in Coq.Lists.List]
find_some [in Coq.Lists.List]
find_left_path [in Coq.Logic.WKL]
Finite_downward_closed [in Coq.Sets.Finite_sets_facts]
finite_cardinal [in Coq.Sets.Finite_sets_facts]
finite_greater [in Coq.Reals.Rseries]
Finite_subset_has_lub [in Coq.Sets.Integers]
finite_image [in Coq.Sets.Image]
Finite_Empty_or_not [in Coq.Logic.FinFun]
Finite_alt [in Coq.Logic.FinFun]
Fin_Finite [in Coq.Logic.FinFun]
Fin2Restrict.extend_injective [in Coq.Logic.FinFun]
Fin2Restrict.extend_surjective [in Coq.Logic.FinFun]
Fin2Restrict.extend_n2f [in Coq.Logic.FinFun]
Fin2Restrict.extend_f2n [in Coq.Logic.FinFun]
Fin2Restrict.extend_ok [in Coq.Logic.FinFun]
Fin2Restrict.restrict_injective [in Coq.Logic.FinFun]
Fin2Restrict.restrict_surjective [in Coq.Logic.FinFun]
Fin2Restrict.restrict_n2f [in Coq.Logic.FinFun]
Fin2Restrict.restrict_f2n [in Coq.Logic.FinFun]
firstl_firstr [in Coq.Numbers.Cyclic.Int31.Cyclic31]
firstn_removelast [in Coq.Lists.List]
firstn_rev [in Coq.Lists.List]
firstn_skipn_rev [in Coq.Lists.List]
firstn_length [in Coq.Lists.List]
firstn_skipn [in Coq.Lists.List]
firstn_skipn_comm [in Coq.Lists.List]
firstn_firstn [in Coq.Lists.List]
firstn_app_2 [in Coq.Lists.List]
firstn_app [in Coq.Lists.List]
firstn_length_le [in Coq.Lists.List]
firstn_le_length [in Coq.Lists.List]
firstn_O [in Coq.Lists.List]
firstn_all2 [in Coq.Lists.List]
firstn_all [in Coq.Lists.List]
firstn_cons [in Coq.Lists.List]
firstn_nil [in Coq.Lists.List]
firstr_firstl [in Coq.Numbers.Cyclic.Int31.Cyclic31]
first_indices_increasing [in Coq.Reals.Runcountable]
first_two_in_interval_works [in Coq.Reals.Runcountable]
first_in_holed_interval_works [in Coq.Reals.Runcountable]
Fix_sub_rect [in Coq.Program.Wf]
Fix_F_sub_rect [in Coq.Program.Wf]
fix_sub_eq [in Coq.Program.Wf]
Fix_eq [in Coq.Program.Wf]
Fix_F_inv [in Coq.Program.Wf]
Fix_F_eq [in Coq.Program.Wf]
Fix_eq [in Coq.Init.Wf]
Fix_F_inv [in Coq.Init.Wf]
Fix_F_eq [in Coq.Init.Wf]
flat_map_ext [in Coq.Lists.List]
flat_map_concat_map [in Coq.Lists.List]
flat_map_app [in Coq.Lists.List]
flip_Equivalence [in Coq.Classes.RelationClasses]
flip_PER [in Coq.Classes.RelationClasses]
flip_StrictOrder [in Coq.Classes.RelationClasses]
flip_PreOrder [in Coq.Classes.RelationClasses]
flip_Reflexive [in Coq.Classes.RelationClasses]
flip_arrow [in Coq.Classes.Morphisms]
flip_atom [in Coq.Classes.Morphisms]
flip_respectful [in Coq.Classes.Morphisms]
flip_arrow [in Coq.Classes.CMorphisms]
flip_atom [in Coq.Classes.CMorphisms]
flip_respectful [in Coq.Classes.CMorphisms]
flip_Equivalence [in Coq.Classes.CRelationClasses]
flip_PER [in Coq.Classes.CRelationClasses]
flip_StrictOrder [in Coq.Classes.CRelationClasses]
flip_PreOrder [in Coq.Classes.CRelationClasses]
flip_Reflexive [in Coq.Classes.CRelationClasses]
flip_flip [in Coq.Program.Combinators]
flip_pointwise_relation [in Coq.Classes.Morphisms_Relations]
flip1 [in Coq.Classes.Morphisms]
flip1 [in Coq.Classes.CMorphisms]
flip2 [in Coq.Classes.Morphisms]
flip2 [in Coq.Classes.CMorphisms]
floor_ok [in Coq.ZArith.Zcomplements]
floor_gt0 [in Coq.ZArith.Zcomplements]
Fnorm_ok [in Coq.setoid_ring.Field_theory]
Fnorm_crossproduct [in Coq.setoid_ring.Field_theory]
Fnorm_FEeval_PEeval [in Coq.setoid_ring.Field_theory]
fold_left_right_assoc_eq [in Coq.Vectors.VectorSpec]
fold_symmetric [in Coq.Lists.List]
fold_left_rev_right [in Coq.Lists.List]
fold_right_app [in Coq.Lists.List]
fold_left_length [in Coq.Lists.List]
fold_left_app [in Coq.Lists.List]
fold_right_add2 [in Coq.Lists.SetoidList]
fold_right_equivlistA2 [in Coq.Lists.SetoidList]
fold_right_commutes2 [in Coq.Lists.SetoidList]
fold_right_add_restr2 [in Coq.Lists.SetoidList]
fold_right_equivlistA_restr2 [in Coq.Lists.SetoidList]
fold_right_commutes_restr2 [in Coq.Lists.SetoidList]
fold_right_eqlistA2 [in Coq.Lists.SetoidList]
fold_right_add [in Coq.Lists.SetoidList]
fold_right_equivlistA [in Coq.Lists.SetoidList]
fold_right_commutes [in Coq.Lists.SetoidList]
fold_right_add_restr [in Coq.Lists.SetoidList]
fold_right_equivlistA_restr [in Coq.Lists.SetoidList]
fold_right_commutes_restr [in Coq.Lists.SetoidList]
fold_right_eqlistA [in Coq.Lists.SetoidList]
forallb_app [in Coq.Lists.List]
forallb_forall [in Coq.Lists.List]
ForallOrdPairs_ForallPairs [in Coq.Lists.List]
ForallOrdPairs_In [in Coq.Lists.List]
ForallOrdPairs_inclA [in Coq.Lists.SetoidList]
ForallPairs_ForallOrdPairs [in Coq.Lists.List]
ForAll_map [in Coq.Lists.Streams]
ForAll_coind [in Coq.Lists.Streams]
ForAll_Str_nth_tl [in Coq.Lists.Streams]
Forall_nth_order [in Coq.Vectors.VectorSpec]
Forall_forall [in Coq.Vectors.VectorSpec]
Forall_impl [in Coq.Vectors.VectorSpec]
Forall_image [in Coq.Lists.List]
Forall_Exists_dec [in Coq.Lists.List]
Forall_Exists_neg [in Coq.Lists.List]
Forall_and_inv [in Coq.Lists.List]
Forall_and [in Coq.Lists.List]
Forall_impl [in Coq.Lists.List]
Forall_fold_right [in Coq.Lists.List]
Forall_dec [in Coq.Lists.List]
Forall_rect [in Coq.Lists.List]
Forall_rev [in Coq.Lists.List]
Forall_elt [in Coq.Lists.List]
Forall_app [in Coq.Lists.List]
Forall_inv_tail [in Coq.Lists.List]
Forall_inv [in Coq.Lists.List]
Forall_nth [in Coq.Lists.List]
Forall_forall [in Coq.Lists.List]
forall_subrelation [in Coq.Classes.Morphisms]
forall_sig_eq_rect [in Coq.Logic.FunctionalExtensionality]
forall_extensionalityS [in Coq.Logic.FunctionalExtensionality]
forall_extensionalityP [in Coq.Logic.FunctionalExtensionality]
forall_extensionality [in Coq.Logic.FunctionalExtensionality]
forall_subrelation [in Coq.Classes.CMorphisms]
forall_hprop [in Coq.Logic.HLevels]
forall_exists_coincide_unique_domain [in Coq.Init.Logic]
forall_exists_unique_domain_coincide [in Coq.Init.Logic]
Forall2_nth_order [in Coq.Vectors.VectorSpec]
Forall2_app [in Coq.Lists.List]
Forall2_app_inv_r [in Coq.Lists.List]
Forall2_app_inv_l [in Coq.Lists.List]
Forall2_refl [in Coq.Lists.List]
forE [in Coq.ssr.ssrbool]
formule [in Coq.Reals.Ranalysis2]
form_eq_refl [in Coq.rtauto.Rtauto]
form1 [in Coq.Reals.Rtrigo1]
form2 [in Coq.Reals.Rtrigo1]
form3 [in Coq.Reals.Rtrigo1]
form4 [in Coq.Reals.Rtrigo1]
for_base_fp [in Coq.Reals.R_Ifp]
fp_nat [in Coq.Reals.R_Ifp]
fp_R0 [in Coq.Reals.R_Ifp]
frefl [in Coq.ssr.ssrfun]
frexp_spec [in Coq.Floats.FloatLemmas]
FstRel_ProdRel [in Coq.Classes.RelationPairs]
fsym [in Coq.ssr.ssrfun]
FTCN_step1 [in Coq.Reals.NewtonInt]
FTC_Riemann [in Coq.Reals.RiemannInt]
FTC_P1 [in Coq.Reals.RiemannInt]
FTC_Newton [in Coq.Reals.NewtonInt]
ftrans [in Coq.ssr.ssrfun]
Full_map [in Coq.rtauto.Bintree]
Full_index_one_empty [in Coq.rtauto.Bintree]
Full_push_compat [in Coq.rtauto.Bintree]
FunctExt_BijComp [in Coq.Logic.ExtensionalityFacts]
FunctExt_iff_UniqInverse [in Coq.Logic.ExtensionalityFacts]
FunctExt_UniqInverse [in Coq.Logic.ExtensionalityFacts]
FunctExt_iff_EqDeltaProjs [in Coq.Logic.ExtensionalityFacts]
functional_extensionality_dep_good_refl [in Coq.Logic.FunctionalExtensionality]
functional_extensionality [in Coq.Logic.FunctionalExtensionality]
functional_rel_reification_and_repr_fun_choice_iff_setoid_fun_choice [in Coq.Logic.ChoiceFacts]
functional_rel_reification_and_repr_fun_choice_imp_setoid_fun_choice [in Coq.Logic.ChoiceFacts]
functional_dependent_choice_imp_functional_countable_choice [in Coq.Logic.ChoiceFacts]
functional_choice_imp_functional_dependent_choice [in Coq.Logic.ChoiceFacts]
functional_choice_to_inhabited_forall_commute [in Coq.Logic.ChoiceFacts]
functional_rel_reification_and_rel_choice_imp_fun_choice [in Coq.Logic.ChoiceFacts]
functional_choice [in Coq.Logic.IndefiniteDescription]
fun_choice_and_ext_pred_ext_and_proof_irrel_imp_setoid_fun_choice [in Coq.Logic.ChoiceFacts]
fun_choice_and_ext_functions_repr_and_excluded_middle_imp_setoid_fun_choice [in Coq.Logic.ChoiceFacts]
fun_reification_descr_computational_excluded_middle_in_prop_context [in Coq.Logic.ChoiceFacts]
fun_choice_and_small_drinker_iff_omniscient_fun_choice [in Coq.Logic.ChoiceFacts]
fun_choice_and_small_drinker_imp_omniscient_fun_choice [in Coq.Logic.ChoiceFacts]
fun_choice_and_indep_general_prem_iff_guarded_fun_choice [in Coq.Logic.ChoiceFacts]
fun_choice_and_indep_general_prem_imp_guarded_fun_choice [in Coq.Logic.ChoiceFacts]
fun_choice_iff_rel_choice_and_functional_rel_reification [in Coq.Logic.ChoiceFacts]
fun_choice_imp_functional_rel_reification [in Coq.Logic.ChoiceFacts]
fun_choice_imp_rel_choice [in Coq.Logic.ChoiceFacts]
fun_if [in Coq.ssr.ssrbool]
F_unfold [in Coq.Program.Wf]
f_eq_dep_non_dep [in Coq.Logic.EqdepFacts]
f_eq_dep [in Coq.Logic.EqdepFacts]
f_interv_is_interv [in Coq.Reals.Ranalysis5]
f_incr_implies_g_incr_interv [in Coq.Reals.Ranalysis5]
f_equal_compose [in Coq.Init.Logic]
f_equal5 [in Coq.Init.Logic]
f_equal4 [in Coq.Init.Logic]
f_equal3 [in Coq.Init.Logic]
f_equal2 [in Coq.Init.Logic]
f_equal_dep2 [in Coq.Init.Logic]
f_equal_dep [in Coq.Init.Logic]
f_equal [in Coq.Init.Logic]

Global Index

(68863 entries)

Notation Index

F

J

K

T

X

Y

_

(985 entries)

Binder Index

_

other

(44709 entries)

Module Index

J

X

Y

_

other

(761 entries)

Variable Index

H

J

Q

V

X

Y

_

other

(1497 entries)

Library Index

K

X

Y

_

other

(570 entries)

Lemma Index

other

(11380 entries)

Constructor Index

K

Y

_

other

(976 entries)

Axiom Index

K

V

X

Y

_

other

(603 entries)

Inductive Index

K

X

Y

_

other

(298 entries)

Projection Index

G

K

V

X

Y

_

other

(460 entries)

Section Index

H

J

Q

X

Y

_

other

(476 entries)

Instance Index

J

V

X

Y

_

other

(811 entries)

Abbreviation Index

J

Y

_

other

(1157 entries)

Definition Index

_

other

(4018 entries)

Record Index

J

V

X

Y

_

other

(162 entries)