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Theorems · Theorem · measure theory

MeasurableSet.mem

∀ {α : Type u_1} {s : Set α} [inst : MeasurableSpace α], MeasurableSet s → Measurable fun x => x ∈ s

Alias of the reverse direction of measurable_mem.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Constructions
Cited by
3 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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Around this declaration

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

MeasurableSpace.generateFrom_singleton · cited by 4MeasurableSpace.generateF…SimpleGraph.measurableEmbedding_edgeSet · cited by 3SimpleGraph.measurableEmb…MeasureTheory.MeasurePreserving.aeconst_preimage · cited by 1MeasurePreserving.aeconst…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurableSet · cited by 3075MeasurableSetMeasurable · cited by 1499Measurablemeasurable_mem · cited by 1measurable_memMeasurableSet.memCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.