The Coq standard library

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 | _ | (3647 entries)
Tactic 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 | _ | (9 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 | _ | (107 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 | _ | (2540 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 | _ | (184 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 | _ | (118 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 | _ | (523 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 | _ | (166 entries)

## N

N [axiom, in Coq.Num.Definitions]
N [axiom, in Coq.Num.Params]
nat [inductive, in Coq.Init.Datatypes]
natinf [inductive, in Coq.IntMap.Adist]
natlike_ind [lemma, in Coq.ZArith.Wf_Z]
natlike_rec [lemma, in Coq.ZArith.Wf_Z]
nat_case [lemma, in Coq.Init.Peano]
nat_double_ind [lemma, in Coq.Init.Peano]
nat_le [definition, in Coq.IntMap.Adalloc]
nat_le_complete [lemma, in Coq.IntMap.Adalloc]
nat_le_complete_conv [lemma, in Coq.IntMap.Adalloc]
nat_le_correct [lemma, in Coq.IntMap.Adalloc]
nat_le_correct_conv [lemma, in Coq.IntMap.Adalloc]
nat_of_ad [definition, in Coq.IntMap.Adalloc]
nat_of_ad_double [lemma, in Coq.IntMap.Adalloc]
nat_of_ad_double_plus_un [lemma, in Coq.IntMap.Adalloc]
nat_of_ad_of_nat [lemma, in Coq.IntMap.Adalloc]
nat_po [definition, in Coq.Sets.Integers]
nat_total_order [lemma, in Coq.Arith.Lt]
NEG [constructor, in Coq.ZArith.fast_integer]
negative_derivative [lemma, in Coq.Reals.Ranalysis]
negb [definition, in Coq.Bool.Bool]
negb_andb [lemma, in Coq.Bool.Bool]
negb_elim [lemma, in Coq.Bool.Bool]
negb_intro [lemma, in Coq.Bool.Bool]
negb_orb [lemma, in Coq.Bool.Bool]
negb_sym [lemma, in Coq.Bool.Bool]
NEG_add [lemma, in Coq.ZArith.Zmisc]
neg_cos [lemma, in Coq.Reals.Rtrigo]
neg_pos_Rsqr_le [lemma, in Coq.Reals.R_sqr]
neg_sin [lemma, in Coq.Reals.Rtrigo]
NEG_xI [lemma, in Coq.ZArith.Zmisc]
NEG_xO [lemma, in Coq.ZArith.Zmisc]
neq [axiom, in Coq.Num.NeqParams]
neq [definition, in Coq.Num.NeqDef]
neq [definition, in Coq.ZArith.auxiliary]
neq [definition, in Coq.Num.Definitions]
NeqAxioms [module]
NeqDef [module]
NeqParams [module]
NeqProps [module]
neq_antirefl [lemma, in Coq.Num.NeqProps]
neq_eq_compat [lemma, in Coq.Num.NeqProps]
neq_not_eq [lemma, in Coq.Num.NeqProps]
neq_not_eq_y_x [lemma, in Coq.Num.NeqProps]
neq_not_neq_trans [lemma, in Coq.Num.NeqDef]
neq_not_neq_trans [axiom, in Coq.Num.NeqAxioms]
neq_O_lt [lemma, in Coq.Arith.Lt]
neq_sym [axiom, in Coq.Num.NeqAxioms]
neq_sym [lemma, in Coq.Num.NeqDef]
neq_x_Sx [lemma, in Coq.Num.LtProps]
neq_0_1 [lemma, in Coq.Num.LtProps]
Newman [lemma, in Coq.Relations.Newman]
Newman [lemma, in Coq.Sets.Relations_3_facts]
Newman [module]
newMap [definition, in Coq.IntMap.Map]
newMap_semantics [lemma, in Coq.IntMap.Map]
new_var [lemma, in Coq.ZArith.auxiliary]
ni [constructor, in Coq.IntMap.Adist]
Nil [definition, in Coq.Wellfounded.Lexicographic_Exponentiation]
nil [constructor, in Coq.Lists.List]
nil [constructor, in Coq.Lists.PolyList]
nil_cons [lemma, in Coq.Lists.List]
nil_cons [lemma, in Coq.Lists.PolyList]
nil_is_heap [constructor, in Coq.Sorting.Heap]
nil_leA [constructor, in Coq.Sorting.Sorting]
nil_sort [constructor, in Coq.Sorting.Sorting]
ni_le [definition, in Coq.IntMap.Adist]
ni_le_antisym [lemma, in Coq.IntMap.Adist]
ni_le_le [lemma, in Coq.IntMap.Adist]
ni_le_min_induc [lemma, in Coq.IntMap.Adist]
ni_le_min_1 [lemma, in Coq.IntMap.Adist]
ni_le_min_2 [lemma, in Coq.IntMap.Adist]
ni_le_refl [lemma, in Coq.IntMap.Adist]
ni_le_total [lemma, in Coq.IntMap.Adist]
ni_le_trans [lemma, in Coq.IntMap.Adist]
ni_min [definition, in Coq.IntMap.Adist]
ni_min_assoc [lemma, in Coq.IntMap.Adist]
ni_min_case [lemma, in Coq.IntMap.Adist]
ni_min_comm [lemma, in Coq.IntMap.Adist]
ni_min_idemp [lemma, in Coq.IntMap.Adist]
ni_min_inf_l [lemma, in Coq.IntMap.Adist]
ni_min_inf_r [lemma, in Coq.IntMap.Adist]
ni_min_O_l [lemma, in Coq.IntMap.Adist]
ni_min_O_r [lemma, in Coq.IntMap.Adist]
NNPP [lemma, in Coq.Logic.Classical_Prop]
node_is_heap [constructor, in Coq.Sorting.Heap]
noetherian [definition, in Coq.Relations.Newman]
noetherian [inductive, in Coq.Sets.Relations_3]
Noetherian [definition, in Coq.Sets.Relations_3]
Noetherian_contains_Noetherian [lemma, in Coq.Sets.Relations_3_facts]
None [constructor, in Coq.Init.Datatypes]
NONE [constructor, in Coq.IntMap.Map]
nonneg_derivative_0 [lemma, in Coq.Reals.Ranalysis]
nonneg_derivative_1 [axiom, in Coq.Reals.Ranalysis]
nonpos_derivative_0 [lemma, in Coq.Reals.Ranalysis]
nonpos_derivative_1 [lemma, in Coq.Reals.Ranalysis]
Non_disjoint_union [lemma, in Coq.Sets.Powerset_facts]
Non_disjoint_union' [lemma, in Coq.Sets.Powerset_facts]
Noone_in_empty [lemma, in Coq.Sets.Constructive_sets]
notT [definition, in Coq.Init.Logic_Type]
not_all_ex_not [lemma, in Coq.Logic.Classical_Pred_Type]
not_all_ex_not [lemma, in Coq.Logic.Classical_Pred_Set]
not_all_not_ex [lemma, in Coq.Logic.Classical_Pred_Type]
not_all_not_ex [lemma, in Coq.Logic.Classical_Pred_Set]
not_and [lemma, in Coq.Logic.Decidable]
not_and_or [lemma, in Coq.Logic.Classical_Prop]
Not_b [definition, in Coq.Logic.Berardi]
not_Empty_Add [lemma, in Coq.Sets.Constructive_sets]
not_empty_Inhabited [lemma, in Coq.Sets.Classical_sets]
not_eq [lemma, in Coq.Arith.Compare_dec]
not_eq_false_beq [definition, in Coq.Bool.BoolEq]
not_eq_S [lemma, in Coq.Init.Peano]
not_eq_sym [lemma, in Coq.Arith.Compare]
not_even_and_odd [lemma, in Coq.Arith.Even]
not_ex_all_not [lemma, in Coq.Logic.Classical_Pred_Type]
not_ex_all_not [lemma, in Coq.Logic.Classical_Pred_Set]
not_ex_not_all [lemma, in Coq.Logic.Classical_Pred_Set]
not_ex_not_all [lemma, in Coq.Logic.Classical_Pred_Type]
not_false_is_true [lemma, in Coq.Bool.Bool]
not_ge [lemma, in Coq.Arith.Compare_dec]
not_gt [lemma, in Coq.Arith.Compare_dec]
not_has_fixpoint [lemma, in Coq.Logic.Berardi]
not_imp [lemma, in Coq.Logic.Decidable]
not_imply_elim [lemma, in Coq.Logic.Classical_Prop]
not_imply_elim2 [lemma, in Coq.Logic.Classical_Prop]
not_included_empty_Inhabited [lemma, in Coq.Sets.Classical_sets]
not_injective_elim [lemma, in Coq.Sets.Image]
not_INR_O [lemma, in Coq.Reals.Rbase]
not_Isnil_cons [lemma, in Coq.Lists.TheoryList]
not_le [lemma, in Coq.Arith.Compare_dec]
not_le_gt [axiom, in Coq.Num.GtAxioms]
not_lt [lemma, in Coq.Arith.Compare_dec]
not_lt_ge [axiom, in Coq.Num.GeAxioms]
not_neq_neq_trans [lemma, in Coq.Num.NeqProps]
not_nm_INR [lemma, in Coq.Reals.Rbase]
not_not [lemma, in Coq.Logic.Decidable]
not_or [lemma, in Coq.Logic.Decidable]
not_or_and [lemma, in Coq.Logic.Classical_Prop]
not_O_INR [lemma, in Coq.Reals.Rbase]
not_O_IZR [lemma, in Coq.Reals.Rbase]
not_Req [lemma, in Coq.Reals.Rbase]
not_Rle [lemma, in Coq.Reals.Rbase]
not_SIncl_empty [lemma, in Coq.Sets.Classical_sets]
not_sym [lemma, in Coq.Reals.Rtrigo]
not_true_is_false [lemma, in Coq.Bool.Bool]
not_Zeq [lemma, in Coq.ZArith.auxiliary]
not_Zge [lemma, in Coq.ZArith.auxiliary]
not_Zgt [lemma, in Coq.ZArith.auxiliary]
not_Zle [lemma, in Coq.ZArith.auxiliary]
not_Zlt [lemma, in Coq.ZArith.auxiliary]
not_1_INR [lemma, in Coq.Reals.Rbase]
no_cond [definition, in Coq.Reals.Ranalysis]
no_fixpoint_negb [lemma, in Coq.Bool.Bool]
NRplus [axiom, in Coq.Reals.Rsyntax]
NSyntax [module]
nth [inductive, in Coq.Arith.Between]
Nth [lemma, in Coq.Lists.TheoryList]
nth [definition, in Coq.Lists.PolyList]
ntheq_eqst [lemma, in Coq.Lists.Streams]
nth_default [definition, in Coq.Lists.PolyList]
nth_error [definition, in Coq.Lists.PolyList]
Nth_func [definition, in Coq.Lists.TheoryList]
nth_in_or_default [lemma, in Coq.Lists.PolyList]
nth_le [lemma, in Coq.Arith.Between]
nth_le_length [lemma, in Coq.Lists.TheoryList]
nth_lt_O [lemma, in Coq.Lists.TheoryList]
nth_O [constructor, in Coq.Arith.Between]
nth_ok [definition, in Coq.Lists.PolyList]
nth_S [constructor, in Coq.Arith.Between]
nth_spec [inductive, in Coq.Lists.TheoryList]
nth_spec_O [constructor, in Coq.Lists.TheoryList]
nth_spec_S [constructor, in Coq.Lists.TheoryList]
nth_S_cons [lemma, in Coq.Lists.PolyList]
Nul [constructor, in Coq.ZArith.fast_integer]
null_derivative_0 [lemma, in Coq.Reals.Ranalysis]
null_derivative_1 [lemma, in Coq.Reals.Ranalysis]
N_digits [definition, in Coq.ZArith.Zlogarithm]
n_Sn [lemma, in Coq.Init.Peano]

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 | _ | (3647 entries)
Tactic 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 | _ | (9 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 | _ | (107 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 | _ | (2540 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 | _ | (184 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 | _ | (118 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 | _ | (523 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 | _ | (166 entries)