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Theorems · Theorem · commutative algebra

IsIntegrallyClosed.pow_dvd_pow_iff

∀ {R : Type u_1} [inst : CommRing R] [IsDomain R] [IsIntegrallyClosed R] {n : ℕ},
  n ≠ 0 → ∀ {a b : R}, a ^ n ∣ b ^ n ↔ a ∣ b
Defined in
Mathlib.RingTheory.IntegralClosure.IntegrallyClosed
Cited by
2 results in Mathlib
Foundations
Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDomainIsIntegrallyClosed

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