Theorems · Theorem · measure theory
MeasureTheory.trim_measurableSet_eq
∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α} (hm : m ≤ m0),
MeasurableSet s → (μ.trim hm) s = μ s- Defined in
- Mathlib.MeasureTheory.Measure.Trim
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Measure.trimstatement · cited by 286
- MeasureTheory.Measure.toOuterMeasureproof · cited by 75
- MeasureTheory.toMeasure_applyproof · cited by 10
- MeasureTheory.Measure.coe_toOuterMeasureproof · cited by 8
Cited by22
Results whose statement or proof uses this declaration.
- MeasureTheory.setLIntegral_condLExpproof · cited by 8
- MeasureTheory.lintegral_trimproof · cited by 7
- MeasureTheory.restrict_trimproof · cited by 7
- MeasureTheory.StronglyMeasurable.ae_eq_trim_of_stronglyMeasurableproof · cited by 7
- MeasureTheory.ae_eq_of_forall_setIntegral_eq_of_sigmaFinite'proof · cited by 5
- MeasureTheory.trim_eq_mapproof · cited by 4
- MeasureTheory.AddContent.measure_eqproof · cited by 4
- MeasureTheory.map_trim_comapproof · cited by 3
- ae_eq_trim_of_measurableproof · cited by 2
- MeasureTheory.sigmaFinite_trim_bot_iffproof · cited by 2
- MeasureTheory.limsup_trimproof · cited by 1
- MeasureTheory.Submartingale.exists_ae_trim_tendsto_of_bddproof · cited by 1