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Theorems · Definition · measure theory

Set.indicator

{α : Type u_1} → {M : Type u_3} → [Zero M] → Set α → (α → M) → α → M

Set.indicator s f a is f a if a ∈ s, 0 otherwise.

Defined in
Mathlib.Algebra.Notation.Indicator
Cited by
723 results in Mathlib
Foundations
Depth 13 from the axioms, rests on 62 definitions · uses propext, Classical.choice, Quot.sound
Assumes
Zero

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352

Cited by748

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 748.