Theorems · Definition · measure theory
Set.mulIndicator
{α : Type u_1} → {M : Type u_3} → [One M] → Set α → (α → M) → α → MSet.mulIndicator s f a is f a if a ∈ s, 1 otherwise.
- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 163 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 62 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- One
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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 by165
Results whose statement or proof uses this declaration.
- Multipliable.hasProdproof · cited by 88
- Set.mulIndicator_of_notMemstatement · cited by 27
- Set.mulIndicator_of_memstatement · cited by 25
- tprod_oneproof · cited by 12
- tprod_defstatement and proof · cited by 11
- hasProd_subtype_iff_mulIndicatorstatement and proof · cited by 7
- tprod_botproof · cited by 6
- finprod_cond_eq_prod_of_cond_iffproof · cited by 6
- Function.Injective.tprod_eqproof · cited by 6
- Set.mulSupport_mulIndicatorstatement · cited by 6
- Set.mulIndicator_mulSupportstatement · cited by 5
- finprod_mem_defstatement · cited by 5