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Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.iSup_coe_eapprox

∀ {α : Type u_1} [inst : MeasurableSpace α] {f : α → ENNReal},
  Measurable f → ⨆ n, ⇑(MeasureTheory.SimpleFunc.eapprox f n) = f
Defined in
Mathlib.MeasureTheory.Function.SimpleFunc
Cited by
1 results in Mathlib
Foundations
Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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Around this declaration

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

MeasureTheory.SimpleFunc.tendsto_eapprox · cited by 1SimpleFunc.tendsto_eapproxDFunLike.coe · cited by 62936DFunLike.coeMeasurableSpace · cited by 13106MeasurableSpaceENNReal · cited by 9879ENNRealiSup · cited by 2415iSupMeasurable · cited by 1499MeasurableMeasureTheory.SimpleFunc · cited by 411MeasureTheory.SimpleFunciSup_apply · cited by 35iSup_applyMeasureTheory.SimpleFunc.eapprox · cited by 20SimpleFunc.eapproxMeasureTheory.SimpleFunc.iSup_eapprox_apply · cited by 8SimpleFunc.iSup_eapprox_a…SimpleFunc.iSup_coe_eapproxCITED BYCITES

Cites9

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Cited by1

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