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Theorems · Definition · measure theory

MeasureTheory.NullMeasurableSpace

(α : Type u_5) →
  [inst : MeasurableSpace α] → autoParam (MeasureTheory.Measure α) MeasureTheory.NullMeasurableSpace._auto_1 → Type u_5

A type tag for α with MeasurableSet given by NullMeasurableSet.

Defined in
Mathlib.MeasureTheory.Measure.NullMeasurable
Cited by
12 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
MeasurableSpace
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Around this declaration

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

MeasureTheory.nullMeasurableSet_singleton · cited by 4MeasureTheory.nullMeasura…MeasureTheory.Measure.completion · cited by 4Measure.completionMeasureTheory.NullMeasurable.measurable' · cited by 2NullMeasurable.measurable'MeasureTheory.Measure.ae_completion · cited by 1Measure.ae_completionMeasureTheory.Measure.completion_apply · cited by 1Measure.completion_applyMeasureTheory.NullMeasurable.aemeasurable_of_aerange · cited by 1NullMeasurable.aemeasurab…MeasureTheory.Measure.MeasureDense.completion · cited by 0MeasureDense.completionMeasureTheory.NullMeasurableSet.insert · cited by 0NullMeasurableSet.insertFinset.nullMeasurableSet · cited by 0Finset.nullMeasurableSetMeasureTheory.nullMeasurableSet_eq · cited by 0MeasureTheory.nullMeasura…MeasureTheory.nullMeasurableSet_insert · cited by 0MeasureTheory.nullMeasura…Set.Finite.nullMeasurableSet · cited by 0Finite.nullMeasurableSetMeasureTheory.Measure.coe_completion · cited by 0Measure.coe_completionMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.NullMeasurableS…CITED BYCITES

Cites2

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

Cited by13

Results whose statement or proof uses this declaration.