Theorems · Theorem · commutative algebra

Multiset.extract_gcd

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (s : Multiset α),
  s ≠ 0 → ∃ t, s = Multiset.map (fun x => s.gcd * x) t ∧ t.gcd = 1

Defined in

Mathlib.Algebra.GCDMonoid.Multiset

Cited by

0 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroNormalizedGCDMonoid