Theorems · Theorem · commutative algebra

Associates.factors_self

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

Defined in

Mathlib.RingTheory.UniqueFactorizationDomain.FactorSet

Cited by

1 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroUniqueFactorizationMonoidNontrivial