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Theorems · Definition · measure theory

EventuallyMeasurableSet

{α : Type u_1} → MeasurableSpace α → (l : Filter α) → [CountableInterFilter l] → Set α → Prop

We say a set s is an EventuallyMeasurableSet with respect to a given σ-algebra m and σ-filter l if it differs from a set in m by a set in the dual ideal of l.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.EventuallyMeasurable
Cited by
4 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CountableInterFilter
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Around this declaration

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

MeasurableSet.eventuallyMeasurableSet · cited by 3MeasurableSet.eventuallyM…EventuallyMeasurableSet.congr · cited by 3EventuallyMeasurableSet.c…eventuallyMeasurableSet_of_mem_filter · cited by 1eventuallyMeasurableSet_o…MeasureTheory.nullMeasurableSet_iff_eventuallyMeasurableSet · cited by 1MeasureTheory.nullMeasura…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceFilter · cited by 8121FilterMeasurableSet · cited by 3075MeasurableSetCountableInterFilter · cited by 78CountableInterFilterEventuallyMeasurableSetCITED BYCITES

Cites5

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Cited by4

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