Theorems · Theorem · commutative algebra
IsCoprime.of_mul_left_right
∀ {R : Type u} [inst : CommSemiring R] {x y z : R}, IsCoprime (x * y) z → IsCoprime y z- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
- 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
- mul_commproof · cited by 2,262
- IsCoprimestatement and proof · cited by 321
- IsCoprime.of_mul_left_leftproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- IsCoprime.mul_left_iffproof · cited by 2
- IsCoprime.divRadicalproof · cited by 1
- Polynomial.Separable.of_pow'proof · cited by 1