Theorems · Theorem · measure theory

MeasureTheory.AEStronglyMeasurable.dist

∀ {α : Type u_1} {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_5} [inst : PseudoMetricSpace β]
  {f g : α → β},
  MeasureTheory.AEStronglyMeasurable f μ →
    MeasureTheory.AEStronglyMeasurable g μ → MeasureTheory.AEStronglyMeasurable (fun x => dist (f x) (g x)) μ

Defined in: Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
Cited by: 0 results in Mathlib
Foundations: Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoMetricSpace

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

Realstatement · cited by 25,697
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
PseudoMetricSpacestatement and proof · cited by 1,550
Dist.diststatement · cited by 1,539
MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
Continuous.comp_aestronglyMeasurableproof · cited by 77
MeasureTheory.AEStronglyMeasurable.prodMkproof · cited by 18
continuous_distproof · cited by 9

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