Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.mono_ac
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.NullMeasurableSet s μ → ν.AbsolutelyContinuous μ → MeasureTheory.NullMeasurableSet s ν- Cited by
- 12 results in Mathlib
- Foundations
- Depth 205 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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
- MeasureTheory.NullMeasurableSet.preimageproof · cited by 21
- MeasureTheory.Measure.QuasiMeasurePreserving.idproof · cited by 14
- MeasureTheory.Measure.QuasiMeasurePreserving.mono_leftproof · cited by 2
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.IsFundamentalDomain.sum_restrict_of_acproof · cited by 4
- MeasureTheory.IsAddFundamentalDomain.sum_restrict_of_acproof · cited by 4
- MeasureTheory.NullMeasurableSet.monoproof · cited by 4
- MeasureTheory.nullMeasurableSet_restrictproof · cited by 1
- MeasureTheory.IsFundamentalDomain.measure_eq_tsum_of_acproof · cited by 1
- MeasureTheory.nullMeasurableSet_smul_measure_iffproof · cited by 1
- MeasureTheory.NullMeasurableSet.smul_measureproof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.measure_eq_tsum_of_acproof · cited by 1
- MeasureTheory.tendsto_setIntegral_of_monotone₀proof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.monoproof · cited by 0
- MeasureTheory.nullMeasurableSet_restrict_of_subsetproof · cited by 0
- MeasureTheory.IsFundamentalDomain.monoproof · cited by 0