Theorems · Theorem · commutative algebra

Multiset.gcd_map_mul

∀ {α : Type u_2} [inst : CommMonoidWithZero α] [inst_1 : StrongNormalizedGCDMonoid α] (a : α) (s : Multiset α),
  (Multiset.map (fun x => a * x) s).gcd = normalize a * s.gcd

Defined in

Mathlib.Algebra.GCDMonoid.Multiset

Cited by

0 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroStrongNormalizedGCDMonoid