Theorems · Theorem · commutative algebra

Finset.gcd_insert

∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s : Finset β}
  {f : β → α} [inst_2 : DecidableEq β] {b : β}, (insert b s).gcd f = gcd (f b) (s.gcd f)

Defined in

Mathlib.Algebra.GCDMonoid.Finset

Cited by

9 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroNormalizedGCDMonoidDecidableEq