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Theorems · Theorem · measure theory

MeasureTheory.sigmaFinite_restrict_sigmaFiniteSetGE

∀ {α : Type u_1} {mα : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) [inst : MeasureTheory.IsFiniteMeasure ν]
  (n : ℕ), MeasureTheory.SigmaFinite (μ.restrict (μ.sigmaFiniteSetGE ν n))
Defined in
Mathlib.MeasureTheory.Measure.Decomposition.Exhaustion
Cited by
2 results in Mathlib
Foundations
Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.IsFiniteMeasure
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Around this declaration

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

MeasureTheory.sigmaFinite_restrict_sigmaFiniteSetWRT' · cited by 3MeasureTheory.sigmaFinite…MeasureTheory.measure_sigmaFiniteSetGE_le · cited by 1MeasureTheory.measure_sig…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.restrict · cited by 1646Measure.restrictMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…MeasureTheory.SigmaFinite · cited by 526MeasureTheory.SigmaFiniteMeasureTheory.Measure.sigmaFiniteSetGE · cited by 8Measure.sigmaFiniteSetGEMeasureTheory.exists_isSigmaFiniteSet_measure_ge · cited by 3MeasureTheory.exists_isSi…MeasureTheory.sigmaFinite_res…CITED BYCITES

Cites7

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Cited by2

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