Theorems · Theorem · measure theory
Set.mulSupport_mulIndicator_subset
∀ {α : Type u_1} {M : Type u_3} [inst : One M] {s : Set α} {f : α → M}, Function.mulSupport (s.mulIndicator f) ⊆ s- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- One
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
- Function.mulSupportstatement and proof · cited by 240
- Set.mulIndicatorstatement and proof · cited by 163
- Set.mulIndicator_of_notMemproof · cited by 27
- Not.imp_symmproof · cited by 25
Cited by3
Results whose statement or proof uses this declaration.
- hasProd_subtype_iff_mulIndicatorproof · cited by 7
- tprod_subtypeproof · cited by 2
- prod_eq_tprod_mulIndicatorproof · cited by 1