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Theorems · Theorem · measure theory

MeasureTheory.Ico_ae_eq_Icc

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.NullSingletonClass μ]
  [inst : PartialOrder α] {a b : α}, Set.Ico a b =ᵐ[μ] Set.Icc a b
Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.NullSingletonClass
Cited by
2 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.NullSingletonClassPartialOrder
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Around this declaration

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

MeasureTheory.Measure.pi_Ico_ae_eq_pi_Icc · cited by 1Measure.pi_Ico_ae_eq_pi_I…MeasureTheory.restrict_Ico_eq_restrict_Icc · cited by 0MeasureTheory.restrict_Ic…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasurePartialOrder · cited by 6410PartialOrderMeasureTheory.ae · cited by 2352MeasureTheory.aeFilter.EventuallyEq · cited by 1912Filter.EventuallyEqSet.Icc · cited by 1702Set.IccSet.Ico · cited by 799Set.IcoMeasureTheory.NullSingletonClass · cited by 125MeasureTheory.NullSinglet…MeasureTheory.NullSingletonClass.measure_singleton · cited by 47NullSingletonClass.measur…MeasureTheory.Ico_ae_eq_Icc' · cited by 2MeasureTheory.Ico_ae_eq_I…MeasureTheory.Ico_ae_eq_IccCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.