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Theorems · Theorem · measure theory

MeasurableSpace.exists_measurableSet_of_ne

∀ {α : Type u_1} [inst : MeasurableSpace α] [MeasurableSpace.SeparatesPoints α] {x y : α},
  x ≠ y → ∃ s, MeasurableSet s ∧ x ∈ s ∧ y ∉ s
Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpace.SeparatesPoints
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Around this declaration

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

MeasureTheory.dirac_ne_dirac · cited by 1MeasureTheory.dirac_ne_di…eq_const_of_measurable_bot · cited by 1eq_const_of_measurable_botSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurableSet · cited by 3075MeasurableSetMeasurableSpace.SeparatesPoints · cited by 18MeasurableSpace.Separates…MeasurableSpace.separatesPoints_def · cited by 2MeasurableSpace.separates…MeasurableSpace.exists_measur…CITED BYCITES

Cites5

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Cited by2

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