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Theorems · Theorem · measure theory

MeasureTheory.AEStronglyMeasurable.nullMeasurableSet_mulSupport

∀ {α : Type u_1} {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {E : Type u_5} [inst : TopologicalSpace E]
  [TopologicalSpace.MetrizableSpace E] [inst_2 : One E] {f : α → E},
  MeasureTheory.AEStronglyMeasurable f μ → MeasureTheory.NullMeasurableSet (Function.mulSupport f) μ
Defined in
Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
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Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace.MetrizableSpaceOne
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TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.AEStronglyMeasurable · cited by 755MeasureTheory.AEStronglyM…MeasureTheory.NullMeasurableSet · cited by 337MeasureTheory.NullMeasura…Function.mulSupport · cited by 240Function.mulSupportMeasureTheory.StronglyMeasurable.aestronglyMeasurable · cited by 94StronglyMeasurable.aestro…MeasureTheory.stronglyMeasurable_const · cited by 47MeasureTheory.stronglyMea…TopologicalSpace.MetrizableSpace · cited by 39TopologicalSpace.Metrizab…MeasureTheory.NullMeasurableSet.compl · cited by 16NullMeasurableSet.complMeasureTheory.AEStronglyMeasurable.nullMeasurableSet_eq_fun · cited by 3AEStronglyMeasurable.null…AEStronglyMeasurable.nullMeas…CITED BYCITES

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