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 | (21681 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 | (895 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 | (724 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 | (490 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 | (10170 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 | (1331 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 | (3523 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)

## L (lemma)

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]
leb_refl [in Coq.Sets.Uniset]
leb_implb [in Coq.Bool.Bool]
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]
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_map [in Coq.rtauto.Bintree]
length_zero_iff_nil [in Coq.Lists.List]
less_than_empty [in Coq.Sets.Powerset_facts]
less_than_singleton [in Coq.Sets.Powerset_Classical_facts]
le_plus_minus [in Coq.Arith.Minus]
le_plus_minus_r [in Coq.Arith.Minus]
le_n_2n [in Coq.Reals.Rprod]
le_epsilon [in Coq.Reals.RIneq]
le_IZR_R1 [in Coq.Reals.RIneq]
le_IZR [in Coq.Reals.RIneq]
le_0_IZR [in Coq.Reals.RIneq]
le_INR [in Coq.Reals.RIneq]
le_elim_rel [in Coq.Arith.Le]
le_Sn_le [in Coq.Arith.Le]
le_S_n [in Coq.Arith.Le]
le_n_S [in Coq.Arith.Le]
le_n_0_eq [in Coq.Arith.Le]
le_gt_trans [in Coq.Arith.Gt]
le_gt_S [in Coq.Arith.Gt]
le_S_gt [in Coq.Arith.Gt]
le_not_gt [in Coq.Arith.Gt]
le_le_S_eq [in Coq.Arith.Compare]
le_decide [in Coq.Arith.Compare]
le_dec [in Coq.Arith.Compare]
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_ni_le [in Coq.NArith.Ndist]
le_plus_trans [in Coq.Arith.Plus]
le_plus_r [in Coq.Arith.Plus]
le_plus_l [in Coq.Arith.Plus]
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_lt_SS [in Coq.funind.Recdef]
le_unique [in Coq.Arith.Peano_dec]
le_lt_or_eq [in Coq.Arith.Lt]
le_not_lt [in Coq.Arith.Lt]
le_lt_n_Sm [in Coq.Arith.Lt]
le_Pmult_nat [in Coq.PArith.Pnat]
le_dec [in Coq.Arith.Compare_dec]
Lget_app_Some [in Coq.rtauto.Bintree]
Lget_app [in Coq.rtauto.Bintree]
Lget_map [in Coq.rtauto.Bintree]
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_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]
list_contents_app [in Coq.Sorting.PermutSetoid]
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]
list_eq_dec [in Coq.Lists.List]
ln_lt_2 [in Coq.Reals.Rpower]
ln_continue [in Coq.Reals.Rpower]
ln_Rinv [in Coq.Reals.Rpower]
ln_mult [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]
log_sup_shift_nat [in Coq.ZArith.Zlogarithm]
log_inf_shift_nat [in Coq.ZArith.Zlogarithm]
log_near_correct2 [in Coq.ZArith.Zlogarithm]
log_near_correct1 [in Coq.ZArith.Zlogarithm]
log_sup_le_Slog_inf [in Coq.ZArith.Zlogarithm]
log_inf_le_log_sup [in Coq.ZArith.Zlogarithm]
log_sup_correct2 [in Coq.ZArith.Zlogarithm]
log_sup_log_inf [in Coq.ZArith.Zlogarithm]
log_sup_correct1 [in Coq.ZArith.Zlogarithm]
log_inf_correct [in Coq.ZArith.Zlogarithm]
log_inf_bounded [in Coq.Numbers.Cyclic.ZModulo.ZModulo]
log2_phi_bounded [in Coq.Numbers.Cyclic.Int31.Cyclic31]
low_trans [in Coq.Sorting.Heap]
ltl_unit [in Coq.Wellfounded.Lexicographic_Exponentiation]
lt_O_minus_lt [in Coq.Arith.Minus]
lt_wf_double_ind [in Coq.Arith.Wf_nat]
lt_wf_double_rec [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 [in Coq.Arith.Wf_nat]
lt_IZR [in Coq.Reals.RIneq]
lt_0_IZR [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_div2 [in Coq.Arith.Div2]
lt_plus_trans [in Coq.Arith.Plus]
lt_minus_O_lt [in Coq.Reals.ArithProp]
lt_O_fact [in Coq.Arith.Factorial]
lt_pred_n_n [in Coq.Arith.Lt]
lt_pred [in Coq.Arith.Lt]
lt_S_n [in Coq.Arith.Lt]
lt_n_S [in Coq.Arith.Lt]
lt_0_neq [in Coq.Arith.Lt]
lt_not_le [in Coq.Arith.Lt]
lt_n_Sm_le [in Coq.Arith.Lt]
lt_le_S [in Coq.Arith.Lt]
lt_dec [in Coq.Arith.Compare_dec]
L_sanity [in Coq.Vectors.Fin]
L1 [in Coq.Logic.Berardi]
l2i_i2l [in Coq.Numbers.Cyclic.Int31.Cyclic31]

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 | (21681 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 | (895 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 | (724 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 | (490 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 | (10170 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 | (1331 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 | (3523 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)