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Theorems · Definition · measure theory

MeasurableSpace.countableGeneratingSet

(α : Type u_3) → [inst : MeasurableSpace α] → [h : MeasurableSpace.CountablyGenerated α] → Set (Set α)

A countable set of sets that generate the measurable space. We insert ∅ to ensure it is nonempty.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
7 results in Mathlib
Foundations
Depth 9 from the axioms · uses Classical.choice
Assumes
MeasurableSpaceMeasurableSpace.CountablyGenerated
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Around this declaration

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

MeasurableSpace.countable_countableGeneratingSet · cited by 13MeasurableSpace.countable…MeasurableSpace.empty_mem_countableGeneratingSet · cited by 4MeasurableSpace.empty_mem…MeasurableSpace.generateFrom_countableGeneratingSet · cited by 4MeasurableSpace.generateF…MeasurableSpace.measurableSet_countableGeneratingSet · cited by 2MeasurableSpace.measurabl…MeasurableSpace.measurableSet_enumerateCountable_countableGeneratingSet · cited by 2MeasurableSpace.measurabl…MeasurableSpace.nonempty_countableGeneratingSet · cited by 0MeasurableSpace.nonempty_…MeasureTheory.isSeparable_of_sigmaFinite · cited by 0MeasureTheory.isSeparable…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…MeasurableSpace.CountablyGenerated.isCountablyGenerated · cited by 5CountablyGenerated.isCoun…MeasurableSpace.countableGene…CITED BYCITES

Cites4

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Cited by7

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