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)

## D

Dadd [lemma, in Coq.Reals.Rderiv]
Datatypes [module]
DatatypesSyntax [module]
Dcomp [lemma, in Coq.Reals.Rderiv]
Dcompare [lemma, in Coq.ZArith.fast_integer]
Dcompare_inf [lemma, in Coq.ZArith.ZArith_dec]
Dconst [lemma, in Coq.Reals.Rderiv]
DecBool [module]
decidable [definition, in Coq.Logic.Decidable]
Decidable [module]
decreasing [definition, in Coq.Reals.Ranalysis]
dec_and [lemma, in Coq.Logic.Decidable]
dec_eq [lemma, in Coq.ZArith.auxiliary]
dec_eq_nat [lemma, in Coq.Arith.Peano_dec]
dec_eq_nat [lemma, in Coq.ZArith.auxiliary]
dec_False [lemma, in Coq.Logic.Decidable]
dec_ge [lemma, in Coq.Arith.Compare_dec]
dec_gt [lemma, in Coq.Arith.Compare_dec]
dec_imp [lemma, in Coq.Logic.Decidable]
dec_le [lemma, in Coq.Arith.Compare_dec]
dec_lt [lemma, in Coq.Arith.Compare_dec]
dec_not [lemma, in Coq.Logic.Decidable]
dec_not_not [lemma, in Coq.Logic.Decidable]
dec_or [lemma, in Coq.Logic.Decidable]
dec_True [lemma, in Coq.Logic.Decidable]
dec_Zge [lemma, in Coq.ZArith.auxiliary]
dec_Zgt [lemma, in Coq.ZArith.auxiliary]
dec_Zle [lemma, in Coq.ZArith.auxiliary]
dec_Zlt [lemma, in Coq.ZArith.auxiliary]
dec_Zne [lemma, in Coq.ZArith.auxiliary]
Definitions [module]
Definition_of_Complete [constructor, in Coq.Sets.Cpo]
Definition_of_Conditionally_complete [constructor, in Coq.Sets.Cpo]
Definition_of_covers [constructor, in Coq.Sets.Partial_Order]
Definition_of_Directed [constructor, in Coq.Sets.Cpo]
Definition_of_equivalence [constructor, in Coq.Sets.Relations_1]
definition_of_noetherian [constructor, in Coq.Sets.Relations_3]
Definition_of_order [constructor, in Coq.Sets.Relations_1]
Definition_of_PER [constructor, in Coq.Sets.Relations_1]
Definition_of_Power_set [constructor, in Coq.Sets.Powerset]
Definition_of_preorder [constructor, in Coq.Sets.Relations_1]
Defn_of_Approximant [constructor, in Coq.Sets.Infinite_sets]
deg_rad [lemma, in Coq.Reals.Rtrigo]
Delta [definition, in Coq.Reals.R_sqr]
Delta_is_pos [definition, in Coq.Reals.R_sqr]
demorgan1 [lemma, in Coq.Bool.Bool]
demorgan2 [lemma, in Coq.Bool.Bool]
demorgan3 [lemma, in Coq.Bool.Bool]
demorgan4 [lemma, in Coq.Bool.Bool]
derivable [definition, in Coq.Reals.Ranalysis]
derivable_continuous [lemma, in Coq.Reals.Ranalysis]
derivable_continuous_pt [lemma, in Coq.Reals.Ranalysis]
derivable_derive [lemma, in Coq.Reals.Ranalysis]
derivable_pt [definition, in Coq.Reals.Ranalysis]
derive [definition, in Coq.Reals.Ranalysis]
derive_composition [lemma, in Coq.Reals.Ranalysis]
derive_derivable [lemma, in Coq.Reals.Ranalysis]
derive_diff [lemma, in Coq.Reals.Ranalysis]
derive_increasing_interv [lemma, in Coq.Reals.Ranalysis]
derive_increasing_interv_ax [axiom, in Coq.Reals.Ranalysis]
derive_increasing_interv_var [lemma, in Coq.Reals.Ranalysis]
derive_prod [lemma, in Coq.Reals.Ranalysis]
derive_pt [axiom, in Coq.Reals.Ranalysis]
derive_pt_cos [lemma, in Coq.Reals.Ranalysis]
derive_pt_def [axiom, in Coq.Reals.Ranalysis]
derive_pt_def_0 [lemma, in Coq.Reals.Ranalysis]
derive_pt_def_1 [lemma, in Coq.Reals.Ranalysis]
derive_pt_D_in [lemma, in Coq.Reals.Ranalysis]
derive_pt_sin [lemma, in Coq.Reals.Ranalysis]
derive_scal [lemma, in Coq.Reals.Ranalysis]
derive_sum [lemma, in Coq.Reals.Ranalysis]
deriv_composition [lemma, in Coq.Reals.Ranalysis]
deriv_const [lemma, in Coq.Reals.Ranalysis]
deriv_constant2 [lemma, in Coq.Reals.Ranalysis]
deriv_cos [lemma, in Coq.Reals.Ranalysis]
deriv_diff [lemma, in Coq.Reals.Ranalysis]
deriv_id [lemma, in Coq.Reals.Ranalysis]
deriv_maximum [lemma, in Coq.Reals.Ranalysis]
deriv_minimum [lemma, in Coq.Reals.Ranalysis]
deriv_opposite [lemma, in Coq.Reals.Ranalysis]
deriv_prod [lemma, in Coq.Reals.Ranalysis]
deriv_Rsqr [lemma, in Coq.Reals.Ranalysis]
deriv_scal [lemma, in Coq.Reals.Ranalysis]
deriv_sin [axiom, in Coq.Reals.Ranalysis]
deriv_sqrt [axiom, in Coq.Reals.Ranalysis]
deriv_sum [lemma, in Coq.Reals.Ranalysis]
Desc [inductive, in Coq.Relations.Relation_Operators]
Descl [definition, in Coq.Wellfounded.Lexicographic_Exponentiation]
desc_end [lemma, in Coq.Wellfounded.Lexicographic_Exponentiation]
desc_prefix [lemma, in Coq.Wellfounded.Lexicographic_Exponentiation]
desc_tail [lemma, in Coq.Wellfounded.Lexicographic_Exponentiation]
Dgf [definition, in Coq.Reals.Rlimit]
Diagram [lemma, in Coq.Relations.Newman]
diff_comp [lemma, in Coq.Reals.Ranalysis]
diff_continuity [lemma, in Coq.Reals.Ranalysis]
diff_continuous [lemma, in Coq.Reals.Ranalysis]
diff_cos [lemma, in Coq.Reals.Ranalysis]
diff_derivable [lemma, in Coq.Reals.Ranalysis]
diff_derivable_pt [lemma, in Coq.Reals.Ranalysis]
diff_false_true [lemma, in Coq.Bool.Bool]
diff_id [lemma, in Coq.Reals.Ranalysis]
diff_plus_opp [lemma, in Coq.Reals.Ranalysis]
diff_Rsqr [lemma, in Coq.Reals.Ranalysis]
diff_sin [lemma, in Coq.Reals.Ranalysis]
diff_sqrt [lemma, in Coq.Reals.Ranalysis]
diff_true_false [lemma, in Coq.Bool.Bool]
Directed [inductive, in Coq.Sets.Cpo]
DiscrAxioms [module]
discrete_nat [lemma, in Coq.Arith.Compare]
DiscrProps [module]
DiscrR [tactic definition, in Coq.Reals.DiscrR]
DiscrR [module]
Disjoint [inductive, in Coq.Sets.Ensembles]
Disjoint_intro [constructor, in Coq.Sets.Ensembles]
Disjoint_Union [module]
distance_refl [lemma, in Coq.Reals.Rgeom]
distance_symm [lemma, in Coq.Reals.Rgeom]
Distributivity [lemma, in Coq.Sets.Powerset_facts]
Distributivity' [lemma, in Coq.Sets.Powerset_facts]
distr_rev [lemma, in Coq.Lists.PolyList]
dist_aux [lemma, in Coq.Wellfounded.Lexicographic_Exponentiation]
dist_Desc_concat [lemma, in Coq.Wellfounded.Lexicographic_Exponentiation]
dist_euc [definition, in Coq.Reals.Rgeom]
Div [module]
diveucl [inductive, in Coq.Arith.Euclid]
divex [constructor, in Coq.Arith.Euclid]
div1 [lemma, in Coq.Arith.Div]
div2 [lemma, in Coq.Arith.Div]
div2 [definition, in Coq.Arith.Div2]
Div2 [module]
div2_even [lemma, in Coq.Arith.Div2]
div2_odd [lemma, in Coq.Arith.Div2]
div_continuity [lemma, in Coq.Reals.Ranalysis]
div_continuous [lemma, in Coq.Reals.Ranalysis]
div_eq_inv [lemma, in Coq.Reals.Ranalysis]
div_fct [definition, in Coq.Reals.Ranalysis]
div_real_fct [definition, in Coq.Reals.Ranalysis]
DMerge [definition, in Coq.IntMap.Mapfold]
Dminus [lemma, in Coq.Reals.Rderiv]
Dmult [lemma, in Coq.Reals.Rderiv]
Dmult_const [lemma, in Coq.Reals.Rderiv]
Dopp [lemma, in Coq.Reals.Rderiv]
double [lemma, in Coq.Reals.Rtrigo]
double [definition, in Coq.Arith.Div2]
double_even [lemma, in Coq.Arith.Div2]
double_moins_deux [definition, in Coq.ZArith.fast_integer]
double_moins_un [definition, in Coq.ZArith.fast_integer]
double_odd [lemma, in Coq.Arith.Div2]
double_S [lemma, in Coq.Arith.Div2]
Dx [lemma, in Coq.Reals.Rderiv]
Dx_pow_n [lemma, in Coq.Reals.Rderiv]
d_conc [constructor, in Coq.Relations.Relation_Operators]
D_in [definition, in Coq.Reals.Rderiv]
d_nil [constructor, in Coq.Relations.Relation_Operators]
d_one [constructor, in Coq.Relations.Relation_Operators]
D_pow_n [lemma, in Coq.Reals.Rderiv]
D_x [definition, in Coq.Reals.Rderiv]

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)