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MeasureTheory.SimpleFunc.le_sup_lintegral

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (f g : MeasureTheory.SimpleFunc α ENNReal),
  max (f.lintegral μ) (g.lintegral μ) ≤ (f ⊔ g).lintegral μ
Defined in
Mathlib.MeasureTheory.Function.SimpleFunc
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Foundations
Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasureTheory.SimpleFunc · cited by 411MeasureTheory.SimpleFuncMeasureTheory.SimpleFunc.lintegral · cited by 55SimpleFunc.lintegralMonotone.le_map_sup · cited by 11Monotone.le_map_supMeasureTheory.SimpleFunc.lintegral_mono_fun · cited by 2SimpleFunc.lintegral_mono…SimpleFunc.le_sup_lintegralCITED BYCITES

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