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Theorems · Theorem · measure theory

MeasurableSpace.generateFrom_countableGeneratingSet

∀ {α : Type u_1} [m : MeasurableSpace α] [h : MeasurableSpace.CountablyGenerated α],
  MeasurableSpace.generateFrom (MeasurableSpace.countableGeneratingSet α) = m
Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
4 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpace.CountablyGenerated
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Around this declaration

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MeasurableSpace.generateFrom_natGeneratingSequence · cited by 3MeasurableSpace.generateF…MeasurableSpace.measurableSet_countableGeneratingSet · cited by 2MeasurableSpace.measurabl…MeasurableSpace.generateFrom_iUnion_countablePartition · cited by 1MeasurableSpace.generateF…MeasureTheory.isSeparable_of_sigmaFinite · cited by 0MeasureTheory.isSeparable…MeasurableSpace · cited by 13106MeasurableSpaceMeasurableSpace.generateFrom · cited by 172MeasurableSpace.generateF…MeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…MeasurableSpace.countableGeneratingSet · cited by 7MeasurableSpace.countable…MeasurableSpace.CountablyGenerated.isCountablyGenerated · cited by 5CountablyGenerated.isCoun…MeasurableSpace.generateFrom_insert_empty · cited by 1MeasurableSpace.generateF…MeasurableSpace.generateFrom_…CITED BYCITES

Cites6

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Cited by4

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