Theorems · Theorem · measure theory
Set.indicator_indicator
∀ {α : Type u_1} {M : Type u_3} [inst : Zero M] (s t : Set α) (f : α → M),
s.indicator (t.indicator f) = (s ∩ t).indicator f- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Set.indicatorstatement · cited by 723
- Set.mem_inter_iffproof · cited by 50
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.condExp_restrict_ae_eq_restrictproof · cited by 8
- MeasureTheory.condExp_indicatorproof · cited by 5
- not_summable_one_div_on_primesproof · cited by 2
- summable_indicator_mod_iff_summableproof · cited by 2
- AffineIndependent.inf_affineSpan_eq_affineSpan_interproof · cited by 2
- Set.indicator_inter_supportproof · cited by 2
- ProbabilityTheory.IsStable.locally_locally_iffproof · cited by 1
- ProbabilityTheory.IsStable.locally_of_isPreLocalizingSequenceproof · cited by 1
- MeasureTheory.unifIntegrable_of'proof · cited by 1
- ProbabilityTheory.IsStable.locallyproof · cited by 0
- Set.inter_indicator_mulproof · cited by 0
- MeasureTheory.UnifIntegrable.indicatorproof · cited by 0