Standard Library | The Coq Proof Assistant

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(11410 entries)

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(526 entries)

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(359 entries)

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(209 entries)

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(104 entries)

L (lemma)

landA [in Stdlib.Numbers.Cyclic.Int63.Uint63]
landC [in Stdlib.Numbers.Cyclic.Int63.Uint63]
land_spec' [in Stdlib.Numbers.Cyclic.Int63.Uint63]
land0 [in Stdlib.Numbers.Cyclic.Int63.Uint63]
land0_r [in Stdlib.Numbers.Cyclic.Int63.Uint63]
last_last [in Stdlib.Lists.List]
last_length [in Stdlib.Lists.List]
law_cosines [in Stdlib.Reals.Rgeom]
lb_to_glb [in Stdlib.Reals.SeqProp]
leA_Tree_Node [in Stdlib.Sorting.Heap]
leA_Tree_Leaf [in Stdlib.Sorting.Heap]
lebP [in Stdlib.Numbers.Cyclic.Int63.Sint63]
lebP [in Stdlib.Numbers.Cyclic.Int63.Uint63]
leb_total [in Stdlib.Strings.Ascii]
leb_antisym [in Stdlib.Strings.Ascii]
leb_le [in Stdlib.micromega.ZifyUint63]
leb_total [in Stdlib.Strings.String]
leb_antisym [in Stdlib.Strings.String]
leb_compare [in Stdlib.Arith.Compare_dec]
leb_complete_conv [in Stdlib.Arith.Compare_dec]
leb_correct_conv [in Stdlib.Arith.Compare_dec]
leb_complete [in Stdlib.Arith.Compare_dec]
leb_correct [in Stdlib.Arith.Compare_dec]
leb_iff_conv [in Stdlib.Arith.Compare_dec]
leb_le [in Stdlib.micromega.ZifySint63]
leftinv_is_rightinv_interv [in Stdlib.Reals.Ranalysis5]
leftinv_is_rightinv [in Stdlib.Reals.Ranalysis5]
left_prefix [in Stdlib.Wellfounded.Lexicographic_Exponentiation]
lel_nil [in Stdlib.Lists.List]
lel_tail [in Stdlib.Lists.List]
lel_cons [in Stdlib.Lists.List]
lel_cons_cons [in Stdlib.Lists.List]
lel_trans [in Stdlib.Lists.List]
lel_refl [in Stdlib.Lists.List]
Lemma1 [in Stdlib.Sets.Relations_2_facts]
length_list_power [in Stdlib.Lists.List]
length_flat_map [in Stdlib.Lists.List]
length_concat [in Stdlib.Lists.List]
length_seq [in Stdlib.Lists.List]
length_skipn [in Stdlib.Lists.List]
length_firstn [in Stdlib.Lists.List]
length_prod [in Stdlib.Lists.List]
length_combine [in Stdlib.Lists.List]
length_snd_split [in Stdlib.Lists.List]
length_fst_split [in Stdlib.Lists.List]
length_map [in Stdlib.Lists.List]
length_rev [in Stdlib.Lists.List]
length_tl [in Stdlib.Lists.List]
length_app [in Stdlib.Lists.List]
length_cons [in Stdlib.Lists.List]
length_nil [in Stdlib.Lists.List]
length_zero_iff_nil [in Stdlib.Lists.List]
length_map [in Stdlib.rtauto.Bintree]
length_0_empty [in Stdlib.Strings.PString]
length_spec_Z [in Stdlib.Strings.PString]
length_spec_int [in Stdlib.Strings.PString]
length_lnzhead [in Stdlib.Numbers.HexadecimalFacts]
length_lnzhead [in Stdlib.Numbers.DecimalFacts]
length_to_list [in Stdlib.Vectors.VectorSpec]
less_than_empty [in Stdlib.Sets.Powerset_facts]
less_than_singleton [in Stdlib.Sets.Powerset_Classical_facts]
le_implb [in Stdlib.Bool.Bool]
le_inject_Q [in Stdlib.Reals.Cauchy.ConstructiveCauchyReals]
le_Pmult_nat [in Stdlib.PArith.Pnat]
le_refl [in Stdlib.Sets.Uniset]
le_le_S_eq [in Stdlib.Arith.Compare]
le_decide [in Stdlib.Arith.Compare]
le_dec [in Stdlib.Arith.Compare]
le_lteq [in Stdlib.Bool.BoolOrder]
le_lteq_dec [in Stdlib.Bool.BoolOrder]
le_true [in Stdlib.Bool.BoolOrder]
le_trans [in Stdlib.Bool.BoolOrder]
le_refl [in Stdlib.Bool.BoolOrder]
le_WO_inv [in Stdlib.Wellfounded.Well_Ordering]
le_neg [in Stdlib.micromega.ZMicromega]
le_0_iff [in Stdlib.micromega.ZMicromega]
le_dec [in Stdlib.Arith.Compare_dec]
le_lt_SS [in Stdlib.funind.Recdef]
le_total_order [in Stdlib.Sets.Integers]
le_Order [in Stdlib.Sets.Integers]
le_trans [in Stdlib.Sets.Integers]
le_antisym [in Stdlib.Sets.Integers]
le_reflexive [in Stdlib.Sets.Integers]
le_unique [in Stdlib.Arith.Peano_dec]
le_n_2n [in Stdlib.Reals.Rprod]
le_double [in Stdlib.Reals.ArithProp]
le_minusni_n [in Stdlib.Reals.ArithProp]
le_IZR_R1 [in Stdlib.Reals.RIneq]
le_IZR [in Stdlib.Reals.RIneq]
le_0_IZR [in Stdlib.Reals.RIneq]
le_IPR [in Stdlib.Reals.RIneq]
le_INR [in Stdlib.Reals.RIneq]
Lget_app_Some [in Stdlib.rtauto.Bintree]
Lget_app [in Stdlib.rtauto.Bintree]
Lget_map [in Stdlib.rtauto.Bintree]
limit_index_above_all_indices [in Stdlib.Reals.Runcountable]
limit_inv [in Stdlib.Reals.Rlimit]
limit_comp [in Stdlib.Reals.Rlimit]
limit_mul [in Stdlib.Reals.Rlimit]
limit_free [in Stdlib.Reals.Rlimit]
limit_minus [in Stdlib.Reals.Rlimit]
limit_Ropp [in Stdlib.Reals.Rlimit]
limit_plus [in Stdlib.Reals.Rlimit]
limit1_imp [in Stdlib.Reals.Rpower]
limit1_ext [in Stdlib.Reals.Rpower]
lim_x [in Stdlib.Reals.Rlimit]
linear_search_from_0_rel [in Stdlib.Logic.ConstructiveEpsilon]
linear_search_rel [in Stdlib.Logic.ConstructiveEpsilon]
linear_reduce [in Stdlib.btauto.Algebra]
linear_reduce_aux [in Stdlib.btauto.Algebra]
linear_valid_incl [in Stdlib.btauto.Algebra]
linear_le_compat [in Stdlib.btauto.Algebra]
Listing_decidable_eq [in Stdlib.Logic.FinFun]
list_max_lt [in Stdlib.Lists.List]
list_max_le [in Stdlib.Lists.List]
list_max_app [in Stdlib.Lists.List]
list_sum_app [in Stdlib.Lists.List]
list_compare_spec_complete [in Stdlib.Lists.List]
list_compare_trans [in Stdlib.Lists.List]
list_compare_antisym [in Stdlib.Lists.List]
list_compare_refl [in Stdlib.Lists.List]
list_compareP [in Stdlib.Lists.List]
list_compare_app [in Stdlib.Lists.List]
list_compare_cons [in Stdlib.Lists.List]
list_prod_as_flat_map [in Stdlib.Lists.List]
list_eq_dec [in Stdlib.Lists.List]
list_byte_of_string_of_list_byte [in Stdlib.Strings.String]
list_ascii_of_string_of_list_ascii [in Stdlib.Strings.String]
list_contents_app [in Stdlib.Sorting.PermutSetoid]
list_to_heap [in Stdlib.Sorting.Heap]
list_ext_app_l [in Stdlib.Wellfounded.List_Extension]
list_ext_app_r [in Stdlib.Wellfounded.List_Extension]
list_ext_nil_r [in Stdlib.Wellfounded.List_Extension]
list_ext_inv [in Stdlib.Wellfounded.List_Extension]
list_replace_nth_2 [in Stdlib.btauto.Reflect]
list_replace_nth_1 [in Stdlib.btauto.Reflect]
list_nth_nil [in Stdlib.btauto.Reflect]
list_nth_succ [in Stdlib.btauto.Reflect]
list_nth_base [in Stdlib.btauto.Reflect]
lnzhead_head_nd0 [in Stdlib.Numbers.HexadecimalFacts]
lnzhead_neq_d0_head [in Stdlib.Numbers.HexadecimalFacts]
lnzhead_head_nd0 [in Stdlib.Numbers.DecimalFacts]
lnzhead_neq_d0_head [in Stdlib.Numbers.DecimalFacts]
ln_lt_2 [in Stdlib.Reals.Rpower]
ln_Rpower [in Stdlib.Reals.Rpower]
ln_continue [in Stdlib.Reals.Rpower]
ln_Rinv [in Stdlib.Reals.Rpower]
ln_pow [in Stdlib.Reals.Rpower]
ln_mult [in Stdlib.Reals.Rpower]
ln_neq_0 [in Stdlib.Reals.Rpower]
ln_inv [in Stdlib.Reals.Rpower]
ln_lt_inv [in Stdlib.Reals.Rpower]
ln_1 [in Stdlib.Reals.Rpower]
ln_exp [in Stdlib.Reals.Rpower]
ln_increasing [in Stdlib.Reals.Rpower]
ln_exists [in Stdlib.Reals.Rpower]
ln_exists1 [in Stdlib.Reals.Rpower]
local_mkpow_ok [in Stdlib.setoid_ring.Ring_polynom]
lorA [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lorC [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lor_spec' [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lor_le [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lor_lsr [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lor0 [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lor0_r [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lowerCutAbove [in Stdlib.Reals.ClassicalDedekindReals]
lowerCutBelow [in Stdlib.Reals.ClassicalDedekindReals]
lowerUpper [in Stdlib.Reals.ClassicalDedekindReals]
low_trans [in Stdlib.Sorting.Heap]
lsl_add_distr [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lsl0 [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lsl0_r [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lsr_M_r [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lsr_add [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lsr_1 [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lsr_0_r [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lsr0 [in Stdlib.Numbers.Cyclic.Int63.Uint63]
ltbP [in Stdlib.Numbers.Cyclic.Int63.Sint63]
ltbP [in Stdlib.Numbers.Cyclic.Int63.Uint63]
ltb_lt [in Stdlib.micromega.ZifyUint63]
ltb_lt [in Stdlib.micromega.ZifySint63]
ltl_unit [in Stdlib.Wellfounded.Lexicographic_Exponentiation]
ltof_bdepth_split_r [in Stdlib.micromega.ZMicromega]
ltof_bdepth_split_l [in Stdlib.micromega.ZMicromega]
lt_inject_Q [in Stdlib.Reals.Cauchy.ConstructiveCauchyReals]
lt_le_incl [in Stdlib.Bool.BoolOrder]
lt_total [in Stdlib.Bool.BoolOrder]
lt_trichotomy [in Stdlib.Bool.BoolOrder]
lt_trans [in Stdlib.Bool.BoolOrder]
lt_irrefl [in Stdlib.Bool.BoolOrder]
lt_IQR [in Stdlib.Reals.ClassicalConstructiveReals]
lt_le_iff [in Stdlib.micromega.ZMicromega]
lt_dec [in Stdlib.Arith.Compare_dec]
lt_wf_double_ind [in Stdlib.Arith.Wf_nat]
lt_wf_double_rec [in Stdlib.Arith.Wf_nat]
lt_wf_double_rect [in Stdlib.Arith.Wf_nat]
lt_wf_ind [in Stdlib.Arith.Wf_nat]
lt_wf_rec [in Stdlib.Arith.Wf_nat]
lt_wf_rec1 [in Stdlib.Arith.Wf_nat]
lt_wf_rect [in Stdlib.Arith.Wf_nat]
lt_wf_rect1 [in Stdlib.Arith.Wf_nat]
lt_wf [in Stdlib.Arith.Wf_nat]
lt_minus_O_lt [in Stdlib.Reals.ArithProp]
lt_IZR [in Stdlib.Reals.RIneq]
lt_0_IZR [in Stdlib.Reals.RIneq]
lt_1_IPR [in Stdlib.Reals.RIneq]
lt_IPR [in Stdlib.Reals.RIneq]
lt_1_INR [in Stdlib.Reals.RIneq]
lt_INR [in Stdlib.Reals.RIneq]
lt_0_INR [in Stdlib.Reals.RIneq]
lt_O_fact [in Stdlib.Arith.Factorial]
lt_pow_lt_log [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lxorA [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lxorC [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lxor_spec' [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lxor0 [in Stdlib.Numbers.Cyclic.Int63.Uint63]
lxor0_r [in Stdlib.Numbers.Cyclic.Int63.Uint63]
L_R_neq [in Stdlib.Vectors.Fin]
L_inj [in Stdlib.Vectors.Fin]
L_sanity [in Stdlib.Vectors.Fin]
L1 [in Stdlib.Logic.Berardi]

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Axiom Index

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(403 entries)

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(789 entries)

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(1186 entries)

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(3882 entries)

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(104 entries)