Theorems · Theorem · commutative algebra
IsCoprime.pow_iff
∀ {R : Type u} [inst : CommSemiring R] {x y : R} {m n : ℕ}, 0 < m → 0 < n → (IsCoprime (x ^ m) (y ^ n) ↔ IsCoprime x y)- Defined in
- Mathlib.RingTheory.Coprime.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- 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 · cited by 321
- IsCoprime.pow_left_iffproof · cited by 4
- IsCoprime.pow_right_iffproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.