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Theorems · Theorem · measure theory

MeasurableSpace.measurableSet_countablyGeneratedAtom

∀ {α : Type u_1} {mα : MeasurableSpace α} [inst : MeasurableSpace.CountablyGenerated α] (p : ℕ → Prop),
  MeasurableSet (MeasurableSpace.countablyGeneratedAtom α p)
Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
2 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace.CountablyGenerated
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Around this declaration

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

MeasurableSpace.measurableAtom_eq_countablyGeneratedAtom_natGeneratingSequence · cited by 1MeasurableSpace.measurabl…MeasurableSpace.measurableSet_measurableAtom · cited by 0MeasurableSpace.measurabl…MeasurableSpace · cited by 13106MeasurableSpaceMeasurableSet · cited by 3075MeasurableSetMeasurableSet.compl · cited by 172MeasurableSet.complMeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…MeasurableSet.iInter · cited by 31MeasurableSet.iInterMeasurableSpace.countablyGeneratedAtom · cited by 7MeasurableSpace.countably…MeasurableSpace.measurableSet_natGeneratingSequence · cited by 3MeasurableSpace.measurabl…MeasurableSet.ite' · cited by 2MeasurableSet.ite'MeasurableSpace.measurableSet…CITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.