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Theorems · Theorem · measure theory

MeasureTheory.Measure.QuasiMeasurePreserving.congr

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μa : MeasureTheory.Measure α}
  {μb : MeasureTheory.Measure β} {f : α → β},
  MeasureTheory.Measure.QuasiMeasurePreserving f μa μb →
    ∀ {f' : α → β}, Measurable f' → f =ᵐ[μa] f' → MeasureTheory.Measure.QuasiMeasurePreserving f' μa μb
Defined in
Mathlib.MeasureTheory.Measure.QuasiMeasurePreserving
Cited by
1 results in Mathlib
Foundations
Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasureTheory.AEEqFun.compQuasiMeasurePreserving_congr · cited by 1AEEqFun.compQuasiMeasureP…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.ae · cited by 2352MeasureTheory.aeFilter.EventuallyEq · cited by 1912Filter.EventuallyEqMeasurable · cited by 1499MeasurableFilter.EventuallyEq.symm · cited by 408EventuallyEq.symmMeasureTheory.Measure.AbsolutelyContinuous · cited by 325Measure.AbsolutelyContinu…MeasureTheory.Measure.QuasiMeasurePreserving · cited by 101Measure.QuasiMeasurePrese…MeasureTheory.Measure.QuasiMeasurePreserving.absolutelyContinuous · cited by 20QuasiMeasurePreserving.ab…MeasureTheory.Measure.map_congr · cited by 17Measure.map_congrQuasiMeasurePreserving.congrCITED BYCITES

Cites10

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Cited by1

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