Theorems · Theorem · measure theory

EventuallyMeasurable.congr

∀ {α : Type u_1} {m : MeasurableSpace α} {l : Filter α} [inst : CountableInterFilter l] {β : Type u_2}
  [inst_1 : MeasurableSpace β] {f g : α → β}, EventuallyMeasurable m l f → g =ᶠ[l] f → EventuallyMeasurable m l g

A function which is EventuallyEq to some EventuallyMeasurable function is EventuallyMeasurable.

Defined in

Mathlib.MeasureTheory.MeasurableSpace.EventuallyMeasurable

Cited by

2 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CountableInterFilterMeasurableSpace