Standard Library | The Coq Proof Assistant

The Coq Proof Assistant

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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)
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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)
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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)

## L (lemma)

landA [in Coq.Numbers.Cyclic.Int63.Uint63]
landC [in Coq.Numbers.Cyclic.Int63.Uint63]
land_spec' [in Coq.Numbers.Cyclic.Int63.Uint63]
land0 [in Coq.Numbers.Cyclic.Int63.Uint63]
land0_r [in Coq.Numbers.Cyclic.Int63.Uint63]
last_last [in Coq.Lists.List]
last_length [in Coq.Lists.List]
law_cosines [in Coq.Reals.Rgeom]
lb_to_glb [in Coq.Reals.SeqProp]
leA_Tree_Node [in Coq.Sorting.Heap]
leA_Tree_Leaf [in Coq.Sorting.Heap]
lebP [in Coq.Numbers.Cyclic.Int63.Uint63]
lebP [in Coq.Numbers.Cyclic.Int63.Sint63]
leb_total [in Coq.Strings.String]
leb_antisym [in Coq.Strings.String]
leb_compare [in Coq.Arith.Compare_dec]
leb_complete_conv [in Coq.Arith.Compare_dec]
leb_correct_conv [in Coq.Arith.Compare_dec]
leb_complete [in Coq.Arith.Compare_dec]
leb_correct [in Coq.Arith.Compare_dec]
leb_iff_conv [in Coq.Arith.Compare_dec]
leb_le [in Coq.micromega.ZifySint63]
leb_total [in Coq.Strings.Ascii]
leb_antisym [in Coq.Strings.Ascii]
leb_le [in Coq.micromega.ZifyUint63]
leftinv_is_rightinv_interv [in Coq.Reals.Ranalysis5]
leftinv_is_rightinv [in Coq.Reals.Ranalysis5]
left_prefix [in Coq.Wellfounded.Lexicographic_Exponentiation]
lel_nil [in Coq.Lists.List]
lel_tail [in Coq.Lists.List]
lel_cons [in Coq.Lists.List]
lel_cons_cons [in Coq.Lists.List]
lel_trans [in Coq.Lists.List]
lel_refl [in Coq.Lists.List]
Lemma1 [in Coq.Sets.Relations_2_facts]
length_to_list [in Coq.Vectors.VectorSpec]
length_lnzhead [in Coq.Numbers.DecimalFacts]
length_list_power [in Coq.Lists.List]
length_flat_map [in Coq.Lists.List]
length_concat [in Coq.Lists.List]
length_seq [in Coq.Lists.List]
length_skipn [in Coq.Lists.List]
length_firstn [in Coq.Lists.List]
length_prod [in Coq.Lists.List]
length_combine [in Coq.Lists.List]
length_snd_split [in Coq.Lists.List]
length_fst_split [in Coq.Lists.List]
length_map [in Coq.Lists.List]
length_rev [in Coq.Lists.List]
length_app [in Coq.Lists.List]
length_zero_iff_nil [in Coq.Lists.List]
length_0_empty [in Coq.Strings.PString]
length_spec_Z [in Coq.Strings.PString]
length_spec_int [in Coq.Strings.PString]
length_map [in Coq.rtauto.Bintree]
length_lnzhead [in Coq.Numbers.HexadecimalFacts]
less_than_empty [in Coq.Sets.Powerset_facts]
less_than_singleton [in Coq.Sets.Powerset_Classical_facts]
le_lteq [in Coq.Bool.BoolOrder]
le_lteq_dec [in Coq.Bool.BoolOrder]
le_true [in Coq.Bool.BoolOrder]
le_trans [in Coq.Bool.BoolOrder]
le_refl [in Coq.Bool.BoolOrder]
le_le_S_eq [in Coq.Arith.Compare]
le_decide [in Coq.Arith.Compare]
le_dec [in Coq.Arith.Compare]
le_WO_inv [in Coq.Wellfounded.Well_Ordering]
le_n_S [in Coq.Init.Peano]
le_0_n [in Coq.Init.Peano]
le_S_n [in Coq.Init.Peano]
le_pred [in Coq.Init.Peano]
le_double [in Coq.Reals.ArithProp]
le_minusni_n [in Coq.Reals.ArithProp]
le_Pmult_nat [in Coq.PArith.Pnat]
le_dec [in Coq.Arith.Compare_dec]
le_n_2n [in Coq.Reals.Rprod]
le_implb [in Coq.Bool.Bool]
le_lt_SS [in Coq.funind.Recdef]
le_refl [in Coq.Sets.Uniset]
le_total_order [in Coq.Sets.Integers]
le_Order [in Coq.Sets.Integers]
le_trans [in Coq.Sets.Integers]
le_antisym [in Coq.Sets.Integers]
le_reflexive [in Coq.Sets.Integers]
le_IZR_R1 [in Coq.Reals.RIneq]
le_IZR [in Coq.Reals.RIneq]
le_0_IZR [in Coq.Reals.RIneq]
le_IPR [in Coq.Reals.RIneq]
le_INR [in Coq.Reals.RIneq]
le_inject_Q [in Coq.Reals.Cauchy.ConstructiveCauchyReals]
le_neg [in Coq.micromega.ZMicromega]
le_0_iff [in Coq.micromega.ZMicromega]
le_unique [in Coq.Arith.Peano_dec]
Lget_app_Some [in Coq.rtauto.Bintree]
Lget_app [in Coq.rtauto.Bintree]
Lget_map [in Coq.rtauto.Bintree]
limit_index_above_all_indices [in Coq.Reals.Runcountable]
limit_inv [in Coq.Reals.Rlimit]
limit_comp [in Coq.Reals.Rlimit]
limit_mul [in Coq.Reals.Rlimit]
limit_free [in Coq.Reals.Rlimit]
limit_minus [in Coq.Reals.Rlimit]
limit_Ropp [in Coq.Reals.Rlimit]
limit_plus [in Coq.Reals.Rlimit]
limit1_imp [in Coq.Reals.Rpower]
limit1_ext [in Coq.Reals.Rpower]
lim_x [in Coq.Reals.Rlimit]
linear_search_from_0_rel [in Coq.Logic.ConstructiveEpsilon]
linear_search_rel [in Coq.Logic.ConstructiveEpsilon]
linear_reduce [in Coq.btauto.Algebra]
linear_reduce_aux [in Coq.btauto.Algebra]
linear_valid_incl [in Coq.btauto.Algebra]
linear_le_compat [in Coq.btauto.Algebra]
Listing_decidable_eq [in Coq.Logic.FinFun]
list_contents_app [in Coq.Sorting.PermutSetoid]
list_byte_of_string_of_list_byte [in Coq.Strings.String]
list_ascii_of_string_of_list_ascii [in Coq.Strings.String]
list_max_lt [in Coq.Lists.List]
list_max_le [in Coq.Lists.List]
list_max_app [in Coq.Lists.List]
list_sum_app [in Coq.Lists.List]
list_compare_spec_complete [in Coq.Lists.List]
list_compare_trans [in Coq.Lists.List]
list_compare_antisym [in Coq.Lists.List]
list_compare_refl [in Coq.Lists.List]
list_compareP [in Coq.Lists.List]
list_compare_app [in Coq.Lists.List]
list_compare_cons [in Coq.Lists.List]
list_eq_dec [in Coq.Lists.List]
list_replace_nth_2 [in Coq.btauto.Reflect]
list_replace_nth_1 [in Coq.btauto.Reflect]
list_nth_nil [in Coq.btauto.Reflect]
list_nth_succ [in Coq.btauto.Reflect]
list_nth_base [in Coq.btauto.Reflect]
list_to_heap [in Coq.Sorting.Heap]
lnzhead_head_nd0 [in Coq.Numbers.DecimalFacts]
lnzhead_neq_d0_head [in Coq.Numbers.DecimalFacts]
lnzhead_head_nd0 [in Coq.Numbers.HexadecimalFacts]
lnzhead_neq_d0_head [in Coq.Numbers.HexadecimalFacts]
ln_lt_2 [in Coq.Reals.Rpower]
ln_Rpower [in Coq.Reals.Rpower]
ln_continue [in Coq.Reals.Rpower]
ln_Rinv [in Coq.Reals.Rpower]
ln_pow [in Coq.Reals.Rpower]
ln_mult [in Coq.Reals.Rpower]
ln_neq_0 [in Coq.Reals.Rpower]
ln_inv [in Coq.Reals.Rpower]
ln_lt_inv [in Coq.Reals.Rpower]
ln_1 [in Coq.Reals.Rpower]
ln_exp [in Coq.Reals.Rpower]
ln_increasing [in Coq.Reals.Rpower]
ln_exists [in Coq.Reals.Rpower]
ln_exists1 [in Coq.Reals.Rpower]
local_mkpow_ok [in Coq.setoid_ring.Ring_polynom]
lock [in Coq.ssr.ssreflect]
locked_withE [in Coq.ssr.ssreflect]
lorA [in Coq.Numbers.Cyclic.Int63.Uint63]
lorC [in Coq.Numbers.Cyclic.Int63.Uint63]
lor_spec' [in Coq.Numbers.Cyclic.Int63.Uint63]
lor_le [in Coq.Numbers.Cyclic.Int63.Uint63]
lor_lsr [in Coq.Numbers.Cyclic.Int63.Uint63]
lor0 [in Coq.Numbers.Cyclic.Int63.Uint63]
lor0_r [in Coq.Numbers.Cyclic.Int63.Uint63]
lowerCutAbove [in Coq.Reals.ClassicalDedekindReals]
lowerCutBelow [in Coq.Reals.ClassicalDedekindReals]
lowerUpper [in Coq.Reals.ClassicalDedekindReals]
low_trans [in Coq.Sorting.Heap]
lsl_add_distr [in Coq.Numbers.Cyclic.Int63.Uint63]
lsl0 [in Coq.Numbers.Cyclic.Int63.Uint63]
lsl0_r [in Coq.Numbers.Cyclic.Int63.Uint63]
lsr_M_r [in Coq.Numbers.Cyclic.Int63.Uint63]
lsr_add [in Coq.Numbers.Cyclic.Int63.Uint63]
lsr_1 [in Coq.Numbers.Cyclic.Int63.Uint63]
lsr_0_r [in Coq.Numbers.Cyclic.Int63.Uint63]
lsr0 [in Coq.Numbers.Cyclic.Int63.Uint63]
ltbP [in Coq.Numbers.Cyclic.Int63.Uint63]
ltbP [in Coq.Numbers.Cyclic.Int63.Sint63]
ltb_lt [in Coq.micromega.ZifySint63]
ltb_lt [in Coq.micromega.ZifyUint63]
ltl_unit [in Coq.Wellfounded.Lexicographic_Exponentiation]
ltof_bdepth_split_r [in Coq.micromega.ZMicromega]
ltof_bdepth_split_l [in Coq.micromega.ZMicromega]
lt_le_incl [in Coq.Bool.BoolOrder]
lt_total [in Coq.Bool.BoolOrder]
lt_trichotomy [in Coq.Bool.BoolOrder]
lt_trans [in Coq.Bool.BoolOrder]
lt_irrefl [in Coq.Bool.BoolOrder]
lt_minus_O_lt [in Coq.Reals.ArithProp]
lt_O_fact [in Coq.Arith.Factorial]
lt_dec [in Coq.Arith.Compare_dec]
lt_wf_double_ind [in Coq.Arith.Wf_nat]
lt_wf_double_rec [in Coq.Arith.Wf_nat]
lt_wf_double_rect [in Coq.Arith.Wf_nat]
lt_wf_ind [in Coq.Arith.Wf_nat]
lt_wf_rec [in Coq.Arith.Wf_nat]
lt_wf_rec1 [in Coq.Arith.Wf_nat]
lt_wf_rect [in Coq.Arith.Wf_nat]
lt_wf_rect1 [in Coq.Arith.Wf_nat]
lt_wf [in Coq.Arith.Wf_nat]
lt_IZR [in Coq.Reals.RIneq]
lt_0_IZR [in Coq.Reals.RIneq]
lt_1_IPR [in Coq.Reals.RIneq]
lt_IPR [in Coq.Reals.RIneq]
lt_1_INR [in Coq.Reals.RIneq]
lt_INR [in Coq.Reals.RIneq]
lt_0_INR [in Coq.Reals.RIneq]
lt_inject_Q [in Coq.Reals.Cauchy.ConstructiveCauchyReals]
lt_pow_lt_log [in Coq.Numbers.Cyclic.Int63.Uint63]
lt_le_iff [in Coq.micromega.ZMicromega]
lt_IQR [in Coq.Reals.ClassicalConstructiveReals]
lxorA [in Coq.Numbers.Cyclic.Int63.Uint63]
lxorC [in Coq.Numbers.Cyclic.Int63.Uint63]
lxor_spec' [in Coq.Numbers.Cyclic.Int63.Uint63]
lxor0 [in Coq.Numbers.Cyclic.Int63.Uint63]
lxor0_r [in Coq.Numbers.Cyclic.Int63.Uint63]
L_R_neq [in Coq.Vectors.Fin]
L_inj [in Coq.Vectors.Fin]
L_sanity [in Coq.Vectors.Fin]
L1 [in Coq.Logic.Berardi]

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)