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Theorems · Theorem · measure theory

MeasureTheory.Measure.QuasiMeasurePreserving.comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} {μa : MeasureTheory.Measure α} {μb : MeasureTheory.Measure β} {μc : MeasureTheory.Measure γ}
  {g : β → γ} {f : α → β},
  MeasureTheory.Measure.QuasiMeasurePreserving g μb μc →
    MeasureTheory.Measure.QuasiMeasurePreserving f μa μb → MeasureTheory.Measure.QuasiMeasurePreserving (g ∘ f) μa μc
Defined in
Mathlib.MeasureTheory.Measure.QuasiMeasurePreserving
Cited by
21 results in Mathlib
Foundations
Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

MeasureTheory.QuasiMeasurePreserving.fst · cited by 11QuasiMeasurePreserving.fstMeasureTheory.QuasiMeasurePreserving.snd · cited by 5QuasiMeasurePreserving.sndMeasureTheory.QuasiMeasurePreserving.prod_of_left · cited by 3QuasiMeasurePreserving.pr…MeasureTheory.quasiMeasurePreserving_inv_mul · cited by 3MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_neg_add · cited by 3MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_add_left · cited by 1MeasureTheory.quasiMeasur…MeasureTheory.lconvolution_assoc₀ · cited by 1MeasureTheory.lconvolutio…MeasureTheory.mconv_withDensity_eq_mlconvolution₀ · cited by 1MeasureTheory.mconv_withD…MeasureTheory.quasiMeasurePreserving_div_left · cited by 1MeasureTheory.quasiMeasur…MeasureTheory.mlconvolution_assoc₀ · cited by 1MeasureTheory.mlconvoluti…MeasureTheory.conv_withDensity_eq_mlconvolution₀ · cited by 1MeasureTheory.conv_withDe…MeasureTheory.AEEqFun.compQuasiMeasurePreserving_comp · cited by 1AEEqFun.compQuasiMeasureP…MeasureTheory.quasiMeasurePreserving_sub_left · cited by 1MeasureTheory.quasiMeasur…MeasureTheory.AEEqFun.compQuasiMeasurePreserving_iterate · cited by 1AEEqFun.compQuasiMeasureP…MeasureTheory.quasiMeasurePreserving_add · cited by 0MeasureTheory.quasiMeasur…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.AbsolutelyContinuous · cited by 325Measure.AbsolutelyContinu…Measurable.comp · cited by 234Measurable.compMeasureTheory.Measure.QuasiMeasurePreserving · cited by 101Measure.QuasiMeasurePrese…MeasureTheory.Measure.map_map · cited by 67Measure.map_mapMeasureTheory.Measure.QuasiMeasurePreserving.absolutelyContinuous · cited by 20QuasiMeasurePreserving.ab…MeasureTheory.Measure.AbsolutelyContinuous.trans · cited by 17AbsolutelyContinuous.transMeasureTheory.Measure.QuasiMeasurePreserving.measurable · cited by 12QuasiMeasurePreserving.me…MeasureTheory.Measure.AbsolutelyContinuous.map · cited by 11AbsolutelyContinuous.mapQuasiMeasurePreserving.compCITED BYCITES

Cites10

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Cited by21

Results whose statement or proof uses this declaration.