Theorems · Theorem · group theory

finprod_mem_inv_distrib

∀ {α : Type u_1} {G : Type u_4} {s : Set α} [inst : DivisionCommMonoid G] (f : α → G),
  s.Finite → ∏ᶠ (x : α) (_ : x ∈ s), (f x)⁻¹ = (∏ᶠ (x : α) (_ : x ∈ s), f x)⁻¹

Defined in

Mathlib.Algebra.BigOperators.Finprod

Cited by

1 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionCommMonoid