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Theorems · Theorem · group theory

Finset.prod_mulIndicator_subset

∀ {ι : Type u_1} {β : Type u_4} [inst : CommMonoid β] (f : ι → β) {s t : Finset ι},
  s ⊆ t → ∏ i ∈ t, (↑s).mulIndicator f i = ∏ i ∈ s, f i

Taking the product of an indicator function over a possibly larger finset is the same as taking the original function over the original finset.

Defined in
Mathlib.Algebra.BigOperators.Group.Finset.Indicator
Cited by
1 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoid

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