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Theorems · Definition · measure theory

MeasureTheory.AEEqFun.toGerm

{α : Type u_1} →
  {β : Type u_2} →
    [inst : MeasurableSpace α] →
      {μ : MeasureTheory.Measure α} → [inst_1 : TopologicalSpace β] → (α →ₘ[μ] β) → (MeasureTheory.ae μ).Germ β

Interpret f : α →ₘ[μ] β as a germ at ae μ forgetting that f is almost everywhere strongly measurable.

Defined in
Mathlib.MeasureTheory.Function.AEEqFun
Cited by
22 results in Mathlib
Foundations
Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceTopologicalSpace

Around this declaration

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

MeasureTheory.AEEqFun.comp_toGerm · cited by 5AEEqFun.comp_toGermMeasureTheory.AEEqFun.comp₂_toGerm · cited by 4AEEqFun.comp₂_toGermMeasureTheory.AEEqFun.LiftRel · cited by 2AEEqFun.LiftRelMeasureTheory.AEEqFun.toGermAddMonoidHom · cited by 1AEEqFun.toGermAddMonoidHomMeasureTheory.AEEqFun.toGermMonoidHom · cited by 1AEEqFun.toGermMonoidHomMeasureTheory.AEEqFun.toGerm_eq · cited by 1AEEqFun.toGerm_eqMeasureTheory.AEEqFun.compQuasiMeasurePreserving_toGerm · cited by 1AEEqFun.compQuasiMeasureP…MeasureTheory.AEEqFun.mk_toGerm · cited by 1AEEqFun.mk_toGermMeasureTheory.AEEqFun.mul_toGerm · cited by 0AEEqFun.mul_toGermMeasureTheory.AEEqFun.neg_toGerm · cited by 0AEEqFun.neg_toGermMeasureTheory.AEEqFun.one_toGerm · cited by 0AEEqFun.one_toGermMeasureTheory.AEEqFun.pow_toGerm · cited by 0AEEqFun.pow_toGermMeasureTheory.AEEqFun.smul_toGerm · cited by 0AEEqFun.smul_toGermMeasureTheory.AEEqFun.sub_toGerm · cited by 0AEEqFun.sub_toGermMeasureTheory.AEEqFun.compMeasurable_toGerm · cited by 0AEEqFun.compMeasurable_to…TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.ae · cited by 2352MeasureTheory.aeMeasureTheory.AEEqFun · cited by 856MeasureTheory.AEEqFunMeasureTheory.AEStronglyMeasurable · cited by 755MeasureTheory.AEStronglyM…Filter.Germ · cited by 102Filter.GermFilter.Germ.ofFun · cited by 73Germ.ofFunQuotient.liftOn' · cited by 19Quotient.liftOn'AEEqFun.toGermCITED BYCITES

Cites9

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Cited by26

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