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Theorems · Theorem · measure theory

measurableSet_eq

∀ {α : Type u_1} [inst : MeasurableSpace α] [MeasurableSingletonClass α] {a : α}, MeasurableSet {x | x = a}
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Defs
Cited by
4 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
MeasurableSpaceMeasurableSingletonClass
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Around this declaration

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

Measurable.eq_const · cited by 3Measurable.eq_constProbabilityTheory.strong_law_ae_real · cited by 2ProbabilityTheory.strong_…ProbabilityTheory.strong_law_ae · cited by 1ProbabilityTheory.strong_…ProbabilityTheory.strong_law_Lp · cited by 0ProbabilityTheory.strong_…MeasurableSpace · cited by 13106MeasurableSpaceSet.ofPred · cited by 6101Set.ofPredMeasurableSet · cited by 3075MeasurableSetMeasurableSingletonClass · cited by 230MeasurableSingletonClassMeasurableSet.singleton · cited by 19MeasurableSet.singletonmeasurableSet_eqCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.