Theorems · Theorem · commutative algebra

Associates.factors_prime_pow

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] [Nontrivial α] {p : Associates α}
  (hp : Irreducible p) (k : ℕ), (p ^ k).factors = ↑(Multiset.replicate k ⟨p, hp⟩)

Defined in

Mathlib.RingTheory.UniqueFactorizationDomain.FactorSet

Cited by

2 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroUniqueFactorizationMonoidNontrivial