Theorems · Theorem · measure theory

MeasureTheory.Measure.LebesgueDecomposition.sup_mem_measurableLE

∀ {α : Type u_1} {m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} {f g : α → ENNReal},
  f ∈ MeasureTheory.Measure.LebesgueDecomposition.measurableLE μ ν →
    g ∈ MeasureTheory.Measure.LebesgueDecomposition.measurableLE μ ν →
      (fun a => max (f a) (g a)) ∈ MeasureTheory.Measure.LebesgueDecomposition.measurableLE μ ν

Defined in: Mathlib.MeasureTheory.Measure.Decomposition.Lebesgue
Cited by: 1 results in Mathlib
Foundations: Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites17

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by1

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MeasureTheory.Measure.LebesgueDecomposition.iSup_mem_measurableLEproof · cited by 2