Theorems · Theorem · number theory

IsRelPrime.moebius_mul

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] {a b : α},
  IsRelPrime a b →
    UniqueFactorizationMonoid.moebius (a * b) =
      UniqueFactorizationMonoid.moebius a * UniqueFactorizationMonoid.moebius b

Defined in

Mathlib.RingTheory.UniqueFactorizationDomain.Moebius

Cited by

0 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroUniqueFactorizationMonoid