Theorems · Theorem · group theory

finprod_mem_eq_one_of_infinite

∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] {f : α → M} {s : Set α},
  (s ∩ Function.mulSupport f).Infinite → ∏ᶠ (i : α) (_ : i ∈ s), f i = 1

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