Theorems · Theorem · measure theory

MeasureTheory.StronglyMeasurable.edist

∀ {α : Type u_1} {x : MeasurableSpace α} {β : Type u_5} [inst : PseudoEMetricSpace β] {f g : α → β},
  MeasureTheory.StronglyMeasurable f →
    MeasureTheory.StronglyMeasurable g → MeasureTheory.StronglyMeasurable fun x => edist (f x) (g x)

Defined in: Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites8

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

MeasurableSpacestatement and proof · cited by 13,106
ENNRealstatement · cited by 9,879
PseudoEMetricSpacestatement and proof · cited by 1,536
EDist.ediststatement · cited by 735
MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
Continuous.comp_stronglyMeasurableproof · cited by 18
MeasureTheory.StronglyMeasurable.prodMkproof · cited by 11
continuous_edistproof · cited by 9

Cited by3

Results whose statement or proof uses this declaration.

MeasureTheory.tendstoInMeasure_of_tendsto_aeproof · cited by 4
MeasureTheory.tendstoUniformlyOn_of_ae_tendsto'proof · cited by 1
MeasureTheory.tendstoUniformlyOn_of_ae_tendstoproof · cited by 0