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Theorems · Theorem · measure theory

measurableSet_insert

∀ {α : Type u_1} [inst : MeasurableSpace α] [MeasurableSingletonClass α] {a : α} {s : Set α},
  MeasurableSet (insert a s) ↔ MeasurableSet s
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Defs
Cited by
1 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSingletonClass
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Around this declaration

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

MeasureTheory.nullMeasurableSet_insert · cited by 0MeasureTheory.nullMeasura…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurableSet · cited by 3075MeasurableSetMeasurableSingletonClass · cited by 230MeasurableSingletonClassSet.insert_eq_of_mem · cited by 118Set.insert_eq_of_memMeasurableSet.diff · cited by 53MeasurableSet.diffMeasurableSet.singleton · cited by 19MeasurableSet.singletonSet.insert_sdiff_self_of_notMem · cited by 9Set.insert_sdiff_self_of_…MeasurableSet.insert · cited by 3MeasurableSet.insertmeasurableSet_insertCITED BYCITES

Cites9

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Cited by1

Results whose statement or proof uses this declaration.