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Theorems · Theorem · measure theory

ENNReal.ae_le_essSup

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (f : α → ENNReal),
  ∀ᵐ (y : α) ∂μ, f y ≤ essSup f μ
Defined in
Mathlib.MeasureTheory.Function.EssSup
Cited by
1 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasureTheory.enorm_ae_le_eLpNormEssSup · cited by 3MeasureTheory.enorm_ae_le…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealFilter.Eventually · cited by 3134Filter.EventuallyMeasureTheory.ae · cited by 2352MeasureTheory.aeessSup · cited by 69essSupENNReal.eventually_le_limsup · cited by 4ENNReal.eventually_le_lim…ENNReal.ae_le_essSupCITED BYCITES

Cites7

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Cited by1

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