Theorems · Theorem · measure theory
MeasureTheory.Measure.AbsolutelyContinuous.trim
∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ ν : MeasureTheory.Measure α},
μ.AbsolutelyContinuous ν → ∀ (hm : m ≤ m0), (μ.trim hm).AbsolutelyContinuous (ν.trim hm)- Defined in
- Mathlib.MeasureTheory.Measure.Trim
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 194 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.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
- MeasureTheory.Measure.trimstatement and proof · cited by 286
- MeasureTheory.Measure.AbsolutelyContinuous.mkproof · cited by 38
- MeasureTheory.trim_measurableSet_eqproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.setLIntegral_condLExpproof · cited by 8