Theorems · Theorem · measure theory
MeasureTheory.le_trim
∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α} (hm : m ≤ m0), μ s ≤ (μ.trim hm) s- Defined in
- Mathlib.MeasureTheory.Measure.Trim
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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 · cited by 9,879
- MeasureTheory.Measure.trimstatement · cited by 286
- MeasureTheory.Measure.toOuterMeasureproof · cited by 75
- MeasureTheory.le_toMeasure_applyproof · cited by 8
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_eq_zero_of_trim_eq_zeroproof · cited by 6
- ConvexOn.map_condExp_leproof · cited by 4
- MeasureTheory.lpMeasToLpTrimLie_symm_indicatorstatement and proof · cited by 2
- MeasureTheory.Lp.induction_stronglyMeasurable_auxproof · cited by 1
- MeasureTheory.condExpL1CLM_lpMeasproof · cited by 1
- MeasureTheory.measure_spanningSets_trim_lt_topproof · cited by 1
- MeasureTheory.StronglyMeasurable.exists_spanning_measurableSet_norm_leproof · cited by 1
- MeasureTheory.univ_le_of_forall_fin_meas_leproof · cited by 1
- MeasureTheory.condExpL2_indicator_nonnegproof · cited by 1
- Convex.condExp_memproof · cited by 0