Theorems · Theorem · group theory

mul_finprod_cond_ne

∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] {f : α → M} (a : α),
  Function.HasFiniteMulSupport f → f a * ∏ᶠ (i : α) (_ : i ≠ a), f i = ∏ᶠ (i : α), f i

Defined in

Mathlib.Algebra.BigOperators.Finprod

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoid