Theorems · Theorem · commutative algebra
IsCoprime.of_mul_right_left
∀ {R : Type u} [inst : CommSemiring R] {x y z : R}, IsCoprime x (y * z) → IsCoprime x y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- IsCoprimestatement and proof · cited by 321
- isCoprime_commproof · cited by 17
- IsCoprime.of_mul_left_leftproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.Separable.of_mul_leftproof · cited by 4
- IsCoprime.of_mul_right_rightproof · cited by 2
- Polynomial.isUnit_of_self_mul_dvd_separableproof · cited by 2
- IsCoprime.isUnit_of_dvdproof · cited by 2