Theorems · Theorem · group theory

finprod_def

∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] (f : α → M) [inst_1 : Decidable (Function.HasFiniteMulSupport f)],
  ∏ᶠ (i : α), f i = if h : Function.HasFiniteMulSupport f then ∏ i ∈ Set.Finite.toFinset h, f i else 1

Defined in

Mathlib.Algebra.BigOperators.Finprod

Cited by

7 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidDecidable