Theorems · Theorem · measure theory
Set.support_indicator_subset
∀ {α : Type u_1} {M : Type u_3} [inst : Zero M] {s : Set α} {f : α → M}, Function.support (s.indicator f) ⊆ s- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 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.
Cites5
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 and proof · cited by 723
- Function.supportstatement and proof · cited by 610
- Set.indicator_of_notMemproof · cited by 154
- Not.imp_symmproof · cited by 25
Cited by4
Results whose statement or proof uses this declaration.
- hasSum_subtype_iff_indicatorproof · cited by 6
- tsum_subtypeproof · cited by 6
- sum_eq_tsum_indicatorproof · cited by 2
- MeasureTheory.Lp.induction_stronglyMeasurableproof · cited by 1