norm_num
extension for IsCoprime
#
This module defines a norm_num
extension for IsCoprime
over ℤ
.
(While IsCoprime
is defined over ℕ
, since it uses Bezout's identity with ℕ
coefficients
it does not correspond to the usual notion of coprime.)
theorem
Tactic.NormNum.isInt_isCoprime
{x : ℤ}
{y : ℤ}
{nx : ℤ}
{ny : ℤ}
:
Mathlib.Meta.NormNum.IsInt x nx → Mathlib.Meta.NormNum.IsInt y ny → IsCoprime nx ny → IsCoprime x y
theorem
Tactic.NormNum.isInt_not_isCoprime
{x : ℤ}
{y : ℤ}
{nx : ℤ}
{ny : ℤ}
:
Mathlib.Meta.NormNum.IsInt x nx → Mathlib.Meta.NormNum.IsInt y ny → ¬IsCoprime nx ny → ¬IsCoprime x y
Evaluates the IsCoprime
predicate over ℤ
.
Equations
- One or more equations did not get rendered due to their size.