Ideal.IsPrime.mul_mem_pow

∀ {R : Type u_1} [inst : CommRing R] [IsDedekindDomain R] (I : Ideal R) [hI : I.IsPrime] {a b : R} {n : ℕ},
  a * b ∈ I ^ n → a ∈ I ∨ b ∈ I ^ n

See also Ideal.IsMaximal.mul_mem_pow for maximal ideal.

Defined in: Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
Cited by: 1 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDedekindDomain Ideal.IsPrime

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