Theorems · Theorem · number theory
IsRelPrime.mul_right_iff
∀ {α : Type u_1} [inst : CommMonoid α] {x y z : α} [DecompositionMonoid α],
IsRelPrime x (y * z) ↔ IsRelPrime x y ∧ IsRelPrime x z- Defined in
- Mathlib.Algebra.Divisibility.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- IsRelPrimestatement and proof · cited by 136
- DecompositionMonoidstatement and proof · cited by 39
- IsRelPrime.of_mul_right_leftproof · cited by 2
- IsRelPrime.of_mul_right_rightproof · cited by 1
- IsRelPrime.mul_rightproof · cited by 1
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