Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.mono_measure
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} {ν : MeasureTheory.Measure α},
MeasureTheory.AEStronglyMeasurable f μ → ν ≤ μ → MeasureTheory.AEStronglyMeasurable f ν- Cited by
- 13 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- Filter.Eventually.filter_monoproof · cited by 84
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- MeasureTheory.ae_monoproof · cited by 22
Cited by13
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.mono_measureproof · cited by 26
- MeasureTheory.AEStronglyMeasurable.restrictproof · cited by 18
- aestronglyMeasurable_indicator_iffproof · cited by 8
- MeasureTheory.AEStronglyMeasurable.mono_setproof · cited by 6
- MeasureTheory.setIntegral_mapproof · cited by 3
- MeasureTheory.MemLp.mono_measureproof · cited by 3
- aestronglyMeasurable_sum_measure_iffproof · cited by 3
- aestronglyMeasurable_iUnion_iffproof · cited by 2
- MeasureTheory.Integrable.summable_integralproof · cited by 2
- MeasureTheory.AEStronglyMeasurable.iUnionproof · cited by 2
- MeasureTheory.VectorMeasure.tendsto_setIntegral_of_L1proof · cited by 1
- MeasureTheory.AEContinuous.hasBoxIntegralproof · cited by 1