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Theorems · Theorem · measure theory

MeasureTheory.spanningSets_mono

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : MeasureTheory.SigmaFinite μ] {m n : ℕ},
  m ≤ n → MeasureTheory.spanningSets μ m ⊆ MeasureTheory.spanningSets μ n
Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
Cited by
1 results in Mathlib
Foundations
Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.SigmaFinite
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Measurable.ennreal_sigmaFinite_induction · cited by 0Measurable.ennreal_sigmaF…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.SigmaFinite · cited by 526MeasureTheory.SigmaFiniteMeasureTheory.spanningSets · cited by 45MeasureTheory.spanningSetsMeasureTheory.monotone_spanningSets · cited by 8MeasureTheory.monotone_sp…MeasureTheory.spanningSets_mo…CITED BYCITES

Cites6

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Cited by1

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