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Theorems · Theorem · measure theory

MeasureTheory.Measure.QuasiMeasurePreserving.tendsto_ae

∀ {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 → Filter.Tendsto f (MeasureTheory.ae μa) (MeasureTheory.ae μb)
Defined in
Mathlib.MeasureTheory.Measure.QuasiMeasurePreserving
Cited by
6 results in Mathlib
Foundations
Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.Measure.QuasiMeasurePreserving.ae · cited by 6QuasiMeasurePreserving.aeMeasureTheory.neg_ae · cited by 1MeasureTheory.neg_aeMeasureTheory.AEEqFun.compQuasiMeasurePreserving_toGerm · cited by 1AEEqFun.compQuasiMeasureP…MeasureTheory.inv_ae · cited by 1MeasureTheory.inv_aeMeasureTheory.AEEqFun.compMeasurePreserving_toGerm · cited by 0AEEqFun.compMeasurePreser…MeasureTheory.convolution_congr · cited by 0MeasureTheory.convolution…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureFilter.Tendsto · cited by 3814Filter.TendstoMeasureTheory.ae · cited by 2352MeasureTheory.aeMeasureTheory.Measure.QuasiMeasurePreserving · cited by 101Measure.QuasiMeasurePrese…Filter.Tendsto.mono_right · cited by 53Tendsto.mono_rightMeasureTheory.Measure.QuasiMeasurePreserving.aemeasurable · cited by 5QuasiMeasurePreserving.ae…MeasureTheory.Measure.tendsto_ae_map · cited by 5Measure.tendsto_ae_mapMeasureTheory.Measure.QuasiMeasurePreserving.ae_map_le · cited by 2QuasiMeasurePreserving.ae…QuasiMeasurePreserving.tendst…CITED BYCITES

Cites9

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Cited by6

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