Theorems · Theorem · group theory

Finset.mulIndicator_biUnion

∀ {ι : Type u_1} {κ : Type u_2} {β : Type u_4} [inst : CommMonoid β] (s : Finset ι) (t : ι → Set κ) {f : κ → β},
  (↑s).PairwiseDisjoint t → (⋃ i ∈ s, t i).mulIndicator f = fun a => ∏ i ∈ s, (t i).mulIndicator f a

Defined in

Mathlib.Algebra.BigOperators.Group.Finset.Indicator

Cited by

2 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoid