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Theorems · Theorem · measure theory

MeasureTheory.Measure.quasiMeasurePreserving_snd

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {ν : MeasureTheory.Measure β}, MeasureTheory.Measure.QuasiMeasurePreserving Prod.snd (μ.prod ν) ν
Defined in
Mathlib.MeasureTheory.Measure.Prod
Cited by
15 results in Mathlib
Foundations
Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpace

Around this declaration

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

MeasureTheory.AEStronglyMeasurable.comp_snd · cited by 6AEStronglyMeasurable.comp…MeasureTheory.QuasiMeasurePreserving.snd · cited by 5QuasiMeasurePreserving.sndMeasureTheory.quasiMeasurePreserving_inv_mul · cited by 3MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_neg_add · cited by 3MeasureTheory.quasiMeasur…MeasureTheory.Measure.set_prod_ae_eq · cited by 2Measure.set_prod_ae_eqMeasureTheory.Measure.nullMeasurableSet_preimage_snd · cited by 1Measure.nullMeasurableSet…MeasureTheory.pdf.indepFun_iff_pdf_prod_eq_pdf_mul_pdf · cited by 0pdf.indepFun_iff_pdf_prod…AEMeasurable.comp_snd · cited by 0AEMeasurable.comp_sndMeasureTheory.quasiMeasurePreserving_add · cited by 0MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_add_swap · cited by 0MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_inv_mul_swap · cited by 0MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_mul · cited by 0MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_mul_swap · cited by 0MeasureTheory.quasiMeasur…MeasureTheory.quasiMeasurePreserving_neg_add_swap · cited by 0MeasureTheory.quasiMeasur…MeasureTheory.NullMeasurable.comp_snd · cited by 0NullMeasurable.comp_sndDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealSet.univ · cited by 3945Set.univMeasurableSet · cited by 3075MeasurableSetMulZeroClass.mul_zero · cited by 2091MulZeroClass.mul_zeroMeasureTheory.Measure.prod · cited by 353Measure.prodLE.le.trans_eq · cited by 328le.trans_eqMeasureTheory.Measure.map_apply · cited by 139Measure.map_applyMeasureTheory.Measure.QuasiMeasurePreserving · cited by 101Measure.QuasiMeasurePrese…nonpos_iff_eq_zero · cited by 100nonpos_iff_eq_zeromeasurable_snd · cited by 94measurable_sndMeasureTheory.Measure.AbsolutelyContinuous.mk · cited by 38AbsolutelyContinuous.mkMeasure.quasiMeasurePreservin…CITED BYCITES

Cites17

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

Cited by15

Results whose statement or proof uses this declaration.