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Theorems · Theorem · measure theory

MeasureTheory.essSup_trim

∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} (hm : m ≤ m0) {f : α → ENNReal},
  Measurable f → essSup f (μ.trim hm) = essSup f μ
Defined in
Mathlib.MeasureTheory.Function.LpSeminorm.Trim
Cited by
1 results in Mathlib
Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasureTheory.eLpNormEssSup_trim · cited by 1MeasureTheory.eLpNormEssS…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasurable · cited by 1499MeasurableMeasureTheory.Measure.trim · cited by 286Measure.trimessSup · cited by 69essSupMeasureTheory.limsup_trim · cited by 1MeasureTheory.limsup_trimMeasureTheory.essSup_trimCITED BYCITES

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