Theorems · Theorem · commutative algebra
IsCoprime.mul_right_iff
∀ {R : Type u} [inst : CommSemiring R] {x y z : R}, IsCoprime x (y * z) ↔ IsCoprime x y ∧ IsCoprime x z- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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.mul_left_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.quo_mul_prod_add_sum_rem_mul_prod_uniqueproof · cited by 1