Theorems · Theorem · commutative algebra
Associated.pow_iff
∀ {R : Type u_1} [inst : CommRing R] [IsDomain R] [IsIntegrallyClosed R] {n : ℕ},
n ≠ 0 → ∀ {a b : R}, Associated (a ^ n) (b ^ n) ↔ Associated a b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- IsDomainstatement and proof · cited by 2,196
- Associatedstatement · cited by 296
- IsIntegrallyClosedstatement and proof · cited by 203
- IsIntegrallyClosed.pow_dvd_pow_iffproof · cited by 2
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