Theorems · Theorem · group theory

MulEquiv.map_finprod_mem

∀ {α : Type u_1} {M : Type u_5} {N : Type u_6} [inst : CommMonoid M] [inst_1 : CommMonoid N] (g : M ≃* N) (f : α → M)
  {s : Set α}, s.Finite → g (∏ᶠ (i : α) (_ : i ∈ s), f i) = ∏ᶠ (i : α) (_ : i ∈ s), g (f i)

Defined in

Mathlib.Algebra.BigOperators.Finprod

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommMonoidCommMonoid