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 | (26611 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 | (1022 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 | (806 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 | (1548 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 | (595 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 | (12054 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 | (959 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 | (629 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 | (308 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 | (475 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 | (505 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 | (912 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 | (1508 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 | (5124 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)

## O (instance)

one_notation [in Coq.setoid_ring.Ncring]
opp_notation [in Coq.setoid_ring.Ncring]
Op_b2z [in Coq.micromega.ZifyBool]
Op_b2n [in Coq.micromega.ZifyBool]
Op_nat_ltb [in Coq.micromega.ZifyBool]
Op_nat_leb [in Coq.micromega.ZifyBool]
Op_nat_eqb [in Coq.micromega.ZifyBool]
Op_Pos_ltb [in Coq.micromega.ZifyBool]
Op_Pos_leb [in Coq.micromega.ZifyBool]
Op_Pos_eqb [in Coq.micromega.ZifyBool]
Op_Nltb [in Coq.micromega.ZifyBool]
Op_Nleb [in Coq.micromega.ZifyBool]
Op_Neqb [in Coq.micromega.ZifyBool]
Op_Zgtb [in Coq.micromega.ZifyBool]
Op_Zltb [in Coq.micromega.ZifyBool]
Op_Zgeb [in Coq.micromega.ZifyBool]
Op_Zleb [in Coq.micromega.ZifyBool]
Op_Zeqb [in Coq.micromega.ZifyBool]
Op_false [in Coq.micromega.ZifyBool]
Op_true [in Coq.micromega.ZifyBool]
Op_eq_bool [in Coq.micromega.ZifyBool]
Op_negb [in Coq.micromega.ZifyBool]
Op_eqb [in Coq.micromega.ZifyBool]
Op_xorb [in Coq.micromega.ZifyBool]
Op_implb [in Coq.micromega.ZifyBool]
Op_orb [in Coq.micromega.ZifyBool]
Op_andb [in Coq.micromega.ZifyBool]
Op_pow [in Coq.micromega.ZifyNat]
Op_div [in Coq.micromega.ZifyNat]
Op_mod [in Coq.micromega.ZifyNat]
Op_abs [in Coq.micromega.ZifySint63]
Op_is_zero [in Coq.micromega.ZifySint63]
Op_to_Z [in Coq.micromega.ZifySint63]
Op_of_Z [in Coq.micromega.ZifySint63]
Op_div [in Coq.micromega.ZifySint63]
Op_asr [in Coq.micromega.ZifySint63]
Op_mod [in Coq.micromega.ZifySint63]
Op_mul [in Coq.micromega.ZifySint63]
Op_pred [in Coq.micromega.ZifySint63]
Op_succ [in Coq.micromega.ZifySint63]
Op_opp [in Coq.micromega.ZifySint63]
Op_sub [in Coq.micromega.ZifySint63]
Op_add [in Coq.micromega.ZifySint63]
Op_eq [in Coq.micromega.ZifySint63]
Op_eqb [in Coq.micromega.ZifySint63]
Op_leb [in Coq.micromega.ZifySint63]
Op_ltb [in Coq.micromega.ZifySint63]
Op_wB [in Coq.micromega.ZifySint63]
Op_size [in Coq.micromega.ZifySint63]
Op_digits [in Coq.micromega.ZifySint63]
Op_min_int [in Coq.micromega.ZifySint63]
Op_max_int [in Coq.micromega.ZifySint63]
Op_Gt [in Coq.micromega.ZifyComparison]
Op_Lt [in Coq.micromega.ZifyComparison]
Op_Eq [in Coq.micromega.ZifyComparison]
Op_eq_comparison [in Coq.micromega.ZifyComparison]
Op_is_even [in Coq.micromega.ZifyUint63]
Op_is_zero [in Coq.micromega.ZifyUint63]
Op_to_Z [in Coq.micromega.ZifyUint63]
Op_of_Z [in Coq.micromega.ZifyUint63]
Op_bit [in Coq.micromega.ZifyUint63]
Op_div [in Coq.micromega.ZifyUint63]
Op_lxor [in Coq.micromega.ZifyUint63]
Op_land [in Coq.micromega.ZifyUint63]
Op_lor [in Coq.micromega.ZifyUint63]
Op_lsl [in Coq.micromega.ZifyUint63]
Op_lsr [in Coq.micromega.ZifyUint63]
Op_addcarry [in Coq.micromega.ZifyUint63]
Op_subcarry [in Coq.micromega.ZifyUint63]
Op_mod [in Coq.micromega.ZifyUint63]
Op_gcd [in Coq.micromega.ZifyUint63]
Op_mul [in Coq.micromega.ZifyUint63]
Op_pred [in Coq.micromega.ZifyUint63]
Op_succ [in Coq.micromega.ZifyUint63]
Op_oppcarry [in Coq.micromega.ZifyUint63]
Op_opp [in Coq.micromega.ZifyUint63]
Op_sub [in Coq.micromega.ZifyUint63]
Op_add [in Coq.micromega.ZifyUint63]
Op_eq [in Coq.micromega.ZifyUint63]
Op_eqb [in Coq.micromega.ZifyUint63]
Op_leb [in Coq.micromega.ZifyUint63]
Op_ltb [in Coq.micromega.ZifyUint63]
Op_wB [in Coq.micromega.ZifyUint63]
Op_size [in Coq.micromega.ZifyUint63]
Op_digits [in Coq.micromega.ZifyUint63]
Op_max_int [in Coq.micromega.ZifyUint63]
Op_N_pow [in Coq.micromega.ZifyN]
Op_N_mod [in Coq.micromega.ZifyN]
Op_N_div [in Coq.micromega.ZifyN]
Op_Z_to_pos [in Coq.micromega.ZifyInst]
Op_Z_to_nat [in Coq.micromega.ZifyInst]
Op_Z_quot2 [in Coq.micromega.ZifyInst]
Op_Z_div2 [in Coq.micromega.ZifyInst]
Op_Z_square [in Coq.micromega.ZifyInst]
Op_Z_succ_double [in Coq.micromega.ZifyInst]
Op_Z_pred_double [in Coq.micromega.ZifyInst]
Op_Z_double [in Coq.micromega.ZifyInst]
Op_Z_pow_pos [in Coq.micromega.ZifyInst]
Op_Z_pow [in Coq.micromega.ZifyInst]
Op_Z_sgn [in Coq.micromega.ZifyInst]
Op_Z_abs [in Coq.micromega.ZifyInst]
Op_Z_opp [in Coq.micromega.ZifyInst]
Op_Z_pred [in Coq.micromega.ZifyInst]
Op_Z_succ [in Coq.micromega.ZifyInst]
Op_Z_quot [in Coq.micromega.ZifyInst]
Op_Z_rem [in Coq.micromega.ZifyInst]
Op_Z_mod [in Coq.micromega.ZifyInst]
Op_Z_div [in Coq.micromega.ZifyInst]
Op_Z_sub [in Coq.micromega.ZifyInst]
Op_Z_mul [in Coq.micromega.ZifyInst]
Op_Z_max [in Coq.micromega.ZifyInst]
Op_Z_min [in Coq.micromega.ZifyInst]
Op_Z_add [in Coq.micromega.ZifyInst]
Op_Z_Z0 [in Coq.micromega.ZifyInst]
Op_eqZ [in Coq.micromega.ZifyInst]
Op_Z_le [in Coq.micromega.ZifyInst]
Op_Z_gt [in Coq.micromega.ZifyInst]
Op_Z_lt [in Coq.micromega.ZifyInst]
Op_Z_ge [in Coq.micromega.ZifyInst]
Op_N_square [in Coq.micromega.ZifyInst]
Op_N_pow [in Coq.micromega.ZifyInst]
Op_N_div2 [in Coq.micromega.ZifyInst]
Op_N_succ_pos [in Coq.micromega.ZifyInst]
Op_N_double [in Coq.micromega.ZifyInst]
Op_N_succ_double [in Coq.micromega.ZifyInst]
Op_N_succ [in Coq.micromega.ZifyInst]
Op_N_pred [in Coq.micromega.ZifyInst]
Op_N_mod [in Coq.micromega.ZifyInst]
Op_N_div [in Coq.micromega.ZifyInst]
Op_N_sub [in Coq.micromega.ZifyInst]
Op_N_mul [in Coq.micromega.ZifyInst]
Op_N_max [in Coq.micromega.ZifyInst]
Op_N_min [in Coq.micromega.ZifyInst]
Op_N_add [in Coq.micromega.ZifyInst]
Op_N_pos [in Coq.micromega.ZifyInst]
Op_Z_abs_N [in Coq.micromega.ZifyInst]
Op_N_of_nat [in Coq.micromega.ZifyInst]
Op_N_Npos [in Coq.micromega.ZifyInst]
Op_N_N0 [in Coq.micromega.ZifyInst]
Op_eq_N [in Coq.micromega.ZifyInst]
Op_N_le [in Coq.micromega.ZifyInst]
Op_N_gt [in Coq.micromega.ZifyInst]
Op_N_lt [in Coq.micromega.ZifyInst]
Op_N_ge [in Coq.micromega.ZifyInst]
Op_Z_of_nat [in Coq.micromega.ZifyInst]
Op_xH [in Coq.micromega.ZifyInst]
Op_xI [in Coq.micromega.ZifyInst]
Op_xO [in Coq.micromega.ZifyInst]
Op_Pos_Ndouble [in Coq.micromega.ZifyInst]
Op_Pos_Nsucc_double [in Coq.micromega.ZifyInst]
Op_pos_square [in Coq.micromega.ZifyInst]
Op_pos_pow [in Coq.micromega.ZifyInst]
Op_pos_max [in Coq.micromega.ZifyInst]
Op_pos_min [in Coq.micromega.ZifyInst]
Op_pos_mul [in Coq.micromega.ZifyInst]
Op_pos_sub [in Coq.micromega.ZifyInst]
Op_pos_add_carry [in Coq.micromega.ZifyInst]
Op_pos_add [in Coq.micromega.ZifyInst]
Op_pos_of_nat [in Coq.micromega.ZifyInst]
Op_pos_of_succ_nat [in Coq.micromega.ZifyInst]
Op_pos_predN [in Coq.micromega.ZifyInst]
Op_pos_pred [in Coq.micromega.ZifyInst]
Op_pos_pred_double [in Coq.micromega.ZifyInst]
Op_pos_succ [in Coq.micromega.ZifyInst]
Op_Z_pos [in Coq.micromega.ZifyInst]
Op_Z_neg [in Coq.micromega.ZifyInst]
Op_Z_to_N [in Coq.micromega.ZifyInst]
Op_Z_of_N [in Coq.micromega.ZifyInst]
Op_eq_pos [in Coq.micromega.ZifyInst]
Op_pos_le [in Coq.micromega.ZifyInst]
Op_pos_gt [in Coq.micromega.ZifyInst]
Op_pos_lt [in Coq.micromega.ZifyInst]
Op_pos_ge [in Coq.micromega.ZifyInst]
Op_N_to_nat [in Coq.micromega.ZifyInst]
Op_pos_to_nat [in Coq.micromega.ZifyInst]
Op_Z_abs_nat [in Coq.micromega.ZifyInst]
Op_O [in Coq.micromega.ZifyInst]
Op_S [in Coq.micromega.ZifyInst]
Op_pred [in Coq.micromega.ZifyInst]
Op_max [in Coq.micromega.ZifyInst]
Op_min [in Coq.micromega.ZifyInst]
Op_mul [in Coq.micromega.ZifyInst]
Op_sub [in Coq.micromega.ZifyInst]
Op_plus [in Coq.micromega.ZifyInst]
Op_Nat_eq [in Coq.micromega.ZifyInst]
Op_eq_nat [in Coq.micromega.ZifyInst]
Op_Nat_le [in Coq.micromega.ZifyInst]
Op_le [in Coq.micromega.ZifyInst]
Op_gt [in Coq.micromega.ZifyInst]
Op_Nat_lt [in Coq.micromega.ZifyInst]
Op_lt [in Coq.micromega.ZifyInst]
Op_ge [in Coq.micromega.ZifyInst]
OrderedTypeFacts.eqb_compat [in Coq.Structures.OrdersFacts]
OrderedTypeFacts.eq_equiv [in Coq.Structures.OrderedType]
OrderedTypeFacts.lt_compat [in Coq.Structures.OrderedType]
OrderedTypeFacts.lt_strorder [in Coq.Structures.OrderedType]
OrderedTypeFullFacts.le_antisym [in Coq.Structures.OrdersFacts]
OrderedTypeFullFacts.le_order [in Coq.Structures.OrdersFacts]
OrderedTypeFullFacts.le_preorder [in Coq.Structures.OrdersFacts]
OrderedTypeFullFacts.le_compat [in Coq.Structures.OrdersFacts]
OrderedTypeRev.eq_equiv [in Coq.Structures.OrdersFacts]
OrderedTypeRev.lt_compat [in Coq.Structures.OrdersFacts]
OrderedTypeRev.lt_strorder [in Coq.Structures.OrdersFacts]
OrdProperties.gtb_compat [in Coq.MSets.MSetProperties]
OrdProperties.leb_compat [in Coq.MSets.MSetProperties]
or_iff_morphism [in Coq.Classes.Morphisms_Prop]
or_impl_morphism [in Coq.Classes.Morphisms_Prop]
OT_from_Alt.lt_compat [in Coq.Structures.OrdersAlt]
OT_from_Alt.lt_strorder [in Coq.Structures.OrdersAlt]
OT_from_Alt.eq_equiv [in Coq.Structures.OrdersAlt]

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 | (26611 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 | (1022 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 | (806 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 | (1548 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 | (595 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 | (12054 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 | (959 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 | (629 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 | (308 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 | (475 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 | (505 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 | (912 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 | (1508 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 | (5124 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)