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Theorems · Theorem · measure theory

EventuallyMeasurableSet.congr

∀ {α : Type u_1} {m : MeasurableSpace α} {s t : Set α} {l : Filter α} [inst : CountableInterFilter l],
  EventuallyMeasurableSet m l t → s =ᶠ[l] t → EventuallyMeasurableSet m l s

A set which is EventuallyEq to an EventuallyMeasurableSet is an EventuallyMeasurableSet.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.EventuallyMeasurable
Cited by
3 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CountableInterFilter
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.NullMeasurableSet.congr · cited by 9NullMeasurableSet.congrEventuallyMeasurable.congr · cited by 2EventuallyMeasurable.congrBaireMeasurableSet.congr · cited by 1BaireMeasurableSet.congrSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceFilter · cited by 8121FilterMeasurableSet · cited by 3075MeasurableSetFilter.EventuallyEq · cited by 1912Filter.EventuallyEqFilter.EventuallyEq.trans · cited by 123EventuallyEq.transCountableInterFilter · cited by 78CountableInterFilterEventuallyMeasurableSet · cited by 4EventuallyMeasurableSetEventuallyMeasurableSet.congrCITED BYCITES

Cites8

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Cited by3

Results whose statement or proof uses this declaration.