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Theorems · Theorem · measure theory

MeasurableSpace.CountablyGenerated.isCountablyGenerated

∀ {α : Type u_3} {m : MeasurableSpace α} [self : MeasurableSpace.CountablyGenerated α],
  ∃ b, b.Countable ∧ m = MeasurableSpace.generateFrom b
Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
5 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
MeasurableSpace.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.countableGeneratingSet · cited by 7MeasurableSpace.countable…MeasurableSpace.empty_mem_countableGeneratingSet · cited by 4MeasurableSpace.empty_mem…MeasurableSpace.generateFrom_countableGeneratingSet · cited by 4MeasurableSpace.generateF…MeasureTheory.NullMeasurable.aemeasurable · cited by 1NullMeasurable.aemeasurab…MeasurableSpace.nonempty_countableGeneratingSet · cited by 0MeasurableSpace.nonempty_…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceSet.Countable · cited by 545Set.CountableMeasurableSpace.generateFrom · cited by 172MeasurableSpace.generateF…MeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…CountablyGenerated.isCountabl…CITED BYCITES

Cites5

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Cited by6

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