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Theorems · Theorem · measure theory

MeasureTheory.Measure.QuasiMeasurePreserving.id

∀ {α : Type u_1} {_m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α),
  MeasureTheory.Measure.QuasiMeasurePreserving id μ μ
Defined in
Mathlib.MeasureTheory.Measure.QuasiMeasurePreserving
Cited by
14 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.NullMeasurableSet.mono_ac · cited by 12NullMeasurableSet.mono_acMeasureTheory.aemeasurable_lconvolution · cited by 3MeasureTheory.aemeasurabl…MeasureTheory.aemeasurable_mlconvolution · cited by 3MeasureTheory.aemeasurabl…MeasureTheory.AEEqFun.compQuasiMeasurePreserving_id · cited by 2AEEqFun.compQuasiMeasureP…MeasureTheory.lconvolution_assoc₀ · cited by 1MeasureTheory.lconvolutio…MeasureTheory.mconv_withDensity_eq_mlconvolution₀ · cited by 1MeasureTheory.mconv_withD…MeasureTheory.lintegral_prod_mul · cited by 1MeasureTheory.lintegral_p…MeasureTheory.Conservative.id · cited by 1Conservative.idMeasureTheory.mlconvolution_assoc₀ · cited by 1MeasureTheory.mlconvoluti…MeasureTheory.conv_withDensity_eq_mlconvolution₀ · cited by 1MeasureTheory.conv_withDe…nullMeasurableSet_regionBetween · cited by 0nullMeasurableSet_regionB…nullMeasurableSet_region_between_cc · cited by 0nullMeasurableSet_region_…nullMeasurableSet_region_between_co · cited by 0nullMeasurableSet_region_…nullMeasurableSet_region_between_oc · cited by 0nullMeasurableSet_region_…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.QuasiMeasurePreserving · cited by 101Measure.QuasiMeasurePrese…measurable_id · cited by 89measurable_idMeasureTheory.Measure.map_id · cited by 29Measure.map_idEq.absolutelyContinuous · cited by 8Eq.absolutelyContinuousQuasiMeasurePreserving.idCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by14

Results whose statement or proof uses this declaration.