Theorems · Theorem · group theory

Finset.prod_pow_boole

∀ {ι : Type u_1} {M : Type u_3} [inst : CommMonoid M] [inst_1 : DecidableEq ι] (s : Finset ι) (f : ι → M) (a : ι),
  (∏ x ∈ s, f x ^ if a = x then 1 else 0) = if a ∈ s then f a else 1

Defined in

Mathlib.Algebra.BigOperators.Group.Finset.Piecewise

Cited by

0 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidDecidableEq