Theorems · Theorem · group theory

finprod_dmem

∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] {s : Set α} [inst_1 : DecidablePred fun x => x ∈ s]
  (f : (a : α) → a ∈ s → M), ∏ᶠ (a : α) (h : a ∈ s), f a h = ∏ᶠ (a : α) (_ : a ∈ s), if h' : a ∈ s then f a h' else 1

Defined in

Mathlib.Algebra.BigOperators.Finprod

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommMonoidDecidablePred