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Theorems · Theorem · measure theory

MeasureTheory.Measure.MutuallySingular.smul

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} (r : ENNReal),
  ν.MutuallySingular μ → (r • ν).MutuallySingular μ
Defined in
Mathlib.MeasureTheory.Measure.MutuallySingular
Cited by
2 results in Mathlib
Foundations
Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

MeasureTheory.Measure.singularPart_smul · cited by 4Measure.singularPart_smulMeasureTheory.Measure.MutuallySingular.smul_nnreal · cited by 0MutuallySingular.smul_nnr…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasureTheory.Measure.MutuallySingular · cited by 91Measure.MutuallySingularMeasureTheory.Measure.AbsolutelyContinuous.rfl · cited by 30AbsolutelyContinuous.rflMeasureTheory.Measure.MutuallySingular.mono_ac · cited by 13MutuallySingular.mono_acMeasureTheory.Measure.AbsolutelyContinuous.smul_left · cited by 10AbsolutelyContinuous.smul…MutuallySingular.smulCITED BYCITES

Cites7

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Cited by2

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