ArithmeticFunction.IsMultiplicative.lcm_apply_mul_gcd_apply

∀ {R : Type u_1} [inst : CommMonoidWithZero R] {f : ArithmeticFunction R},
  f.IsMultiplicative → ∀ {x y : ℕ}, f (x.lcm y) * f (x.gcd y) = f x * f y

Defined in: Mathlib.NumberTheory.ArithmeticFunction.Defs
Cited by: 2 results in Mathlib
Foundations: Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommMonoidWithZero

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