Theorems · Theorem · ring theory

Finsupp.prod_indicator_index_eq_prod_attach

∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} [inst : Zero M] [inst_1 : CommMonoid N] {s : Finset α}
  (f : (a : α) → a ∈ s → M) {h : α → M → N},
  (∀ a ∈ s, h a 0 = 1) → (Finsupp.indicator s f).prod h = ∏ x ∈ s.attach, h (↑x) (f ↑x ⋯)

Defined in

Mathlib.Algebra.BigOperators.Finsupp.Basic

Cited by

1 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ZeroCommMonoid