Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim
∀ {α : Type u_1} [inst : MeasurableSpace α] (m : MeasureTheory.OuterMeasure α) (s : Set α),
∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t = m.trim s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- nhdsproof · cited by 5,554
- Set.univproof · cited by 3,945
- Filter.Tendstoproof · cited by 3,814
- MeasurableSetstatement and proof · cited by 3,075
- add_zeroproof · cited by 2,707
- Filter.atTopproof · cited by 2,405
- LT.lt.leproof · cited by 2,189
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.exists_measurable_supersetproof · cited by 10
- MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trimproof · cited by 3
- MeasureTheory.OuterMeasure.restrict_trimproof · cited by 1
- MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zeroproof · cited by 0