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Theorems · Theorem · measure theory

MeasurableSpace.countable_countableGeneratingSet

∀ {α : Type u_1} [inst : MeasurableSpace α] [h : MeasurableSpace.CountablyGenerated α],
  (MeasurableSpace.countableGeneratingSet α).Countable
Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
13 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpace.CountablyGenerated
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Around this declaration

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

MeasurableSpace.countablePartitionSet · cited by 24MeasurableSpace.countable…MeasurableSpace.countablePartition · cited by 20MeasurableSpace.countable…MeasurableSpace.natGeneratingSequence · cited by 11MeasurableSpace.natGenera…MeasurableSpace.countablePartitionSet_mem · cited by 4MeasurableSpace.countable…MeasurableSpace.generateFrom_natGeneratingSequence · cited by 3MeasurableSpace.generateF…MeasurableSpace.measurableSet_natGeneratingSequence · cited by 3MeasurableSpace.measurabl…MeasurableSpace.measurableSet_enumerateCountable_countableGeneratingSet · cited by 2MeasurableSpace.measurabl…MeasurableSpace.disjoint_countablePartition · cited by 2MeasurableSpace.disjoint_…MeasurableSpace.generateFrom_iUnion_countablePartition · cited by 1MeasurableSpace.generateF…MeasurableSpace.measurableSet_generateFrom_countablePartition_iff · cited by 1MeasurableSpace.measurabl…MeasurableSpace.mem_countablePartitionSet · cited by 1MeasurableSpace.mem_count…MeasurableSpace.finite_countablePartition · cited by 1MeasurableSpace.finite_co…MeasureTheory.isSeparable_of_sigmaFinite · cited by 0MeasureTheory.isSeparable…MeasurableSpace.measurableSet_succ_countablePartition · cited by 0MeasurableSpace.measurabl…MeasurableSpace.sUnion_countablePartition · cited by 0MeasurableSpace.sUnion_co…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceSet.Countable · cited by 545Set.CountableMeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…MeasurableSpace.countableGeneratingSet · cited by 7MeasurableSpace.countable…Set.Countable.insert · cited by 5Countable.insertMeasurableSpace.CountablyGenerated.isCountablyGenerated · cited by 5CountablyGenerated.isCoun…MeasurableSpace.countable_cou…CITED BYCITES

Cites7

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Cited by16

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