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MeasureTheory.Measure.quasiMeasurePreserving_eval

∀ {ι : Type u_1} {α : ι → Type u_3} [inst : Fintype ι] [inst_1 : (i : ι) → MeasurableSpace (α i)]
  (μ : (i : ι) → MeasureTheory.Measure (α i)) [∀ (i : ι), MeasureTheory.SigmaFinite (μ i)] (i : ι),
  MeasureTheory.Measure.QuasiMeasurePreserving (Function.eval i) (MeasureTheory.Measure.pi μ) (μ i)
Defined in
Mathlib.MeasureTheory.Constructions.Pi
Cited by
3 results in Mathlib
Foundations
Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeMeasurableSpaceMeasureTheory.SigmaFinite
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Around this declaration

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

MeasureTheory.Measure.pi_map_pi · cited by 3Measure.pi_map_piProbabilityTheory.iIndepFun.integral_fun_prod_comp · cited by 2iIndepFun.integral_fun_pr…ProbabilityTheory.iIndepFun_pi · cited by 2ProbabilityTheory.iIndepF…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealFintype · cited by 7736FintypeMeasurableSet · cited by 3075MeasurableSetMeasureTheory.SigmaFinite · cited by 526MeasureTheory.SigmaFiniteFunction.eval · cited by 140Function.evalMeasureTheory.Measure.map_apply · cited by 139Measure.map_applyMeasureTheory.Measure.pi · cited by 130Measure.piMeasureTheory.Measure.QuasiMeasurePreserving · cited by 101Measure.QuasiMeasurePrese…measurable_pi_apply · cited by 77measurable_pi_applyMeasureTheory.Measure.AbsolutelyContinuous.mk · cited by 38AbsolutelyContinuous.mkMeasureTheory.Measure.pi_eval_preimage_null · cited by 3Measure.pi_eval_preimage_…Measure.quasiMeasurePreservin…CITED BYCITES

Cites15

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Cited by3

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