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Theorems · Theorem · measure theory

MeasureTheory.stronglyMeasurable_charFun

∀ {E : Type u_2} {mE : MeasurableSpace E} {μ : MeasureTheory.Measure E} [inst : SeminormedAddCommGroup E]
  [inst_1 : InnerProductSpace ℝ E] [OpensMeasurableSpace E] [SecondCountableTopology E] [MeasureTheory.SFinite μ],
  MeasureTheory.StronglyMeasurable (MeasureTheory.charFun μ)
Defined in
Mathlib.MeasureTheory.Measure.CharacteristicFunction.Basic
Cited by
2 results in Mathlib
Foundations
Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupInnerProductSpaceOpensMeasurableSpaceSecondCountableTopologyMeasureTheory.SFinite
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Around this declaration

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

MeasureTheory.measurable_charFun · cited by 1MeasureTheory.measurable_…MeasureTheory.intervalIntegrable_charFun · cited by 1MeasureTheory.intervalInt…Real · cited by 25697RealMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureComplex · cited by 5565ComplexInnerProductSpace · cited by 3523InnerProductSpaceSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupComplex.I · cited by 866Complex.ISecondCountableTopology · cited by 750SecondCountableTopologyOpensMeasurableSpace · cited by 636OpensMeasurableSpaceMeasureTheory.SFinite · cited by 449MeasureTheory.SFiniteMeasureTheory.StronglyMeasurable · cited by 363MeasureTheory.StronglyMea…continuous_id' · cited by 295continuous_id'Continuous.measurable · cited by 181Continuous.measurableMeasureTheory.charFun · cited by 84MeasureTheory.charFunContinuous.snd · cited by 77Continuous.sndMeasureTheory.stronglyMeasura…CITED BYCITES

Cites22

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Cited by2

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