Theorems · Theorem · group theory

finprod_mem_congr

∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] {f g : α → M} {s t : Set α},
  s = t → (∀ x ∈ t, f x = g x) → ∏ᶠ (i : α) (_ : i ∈ s), f i = ∏ᶠ (i : α) (_ : i ∈ t), g i

Defined in

Mathlib.Algebra.BigOperators.Finprod

Cited by

2 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoid