Theorems · Theorem · measure theory

MeasureTheory.AEEqFun.compMeasurable_toGerm

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α}
  [inst_1 : TopologicalSpace β] [inst_2 : TopologicalSpace γ] [inst_3 : MeasurableSpace β] [inst_4 : BorelSpace β]
  [inst_5 : TopologicalSpace.PseudoMetrizableSpace β] [inst_6 : TopologicalSpace.PseudoMetrizableSpace γ]
  [inst_7 : SecondCountableTopology γ] [inst_8 : MeasurableSpace γ] [inst_9 : OpensMeasurableSpace γ] (g : β → γ)
  (hg : Measurable g) (f : α →ₘ[μ] β), (MeasureTheory.AEEqFun.compMeasurable g hg f).toGerm = Filter.Germ.map g f.toGerm

Defined in

Mathlib.MeasureTheory.Function.AEEqFun

Cited by

0 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceTopologicalSpaceMeasurableSpaceBorelSpaceTopologicalSpace.PseudoMetrizableSpaceTopologicalSpace.PseudoMetrizableSpaceSecondCountableTopologyMeasurableSpaceOpensMeasurableSpace