Theorems · Theorem · measure theory
MeasureTheory.Ioi_ae_eq_Ici
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.NullSingletonClass μ]
[inst : PartialOrder α] {a : α}, Set.Ioi a =ᵐ[μ] Set.Ici a- Cited by
- 5 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- PartialOrderstatement and proof · cited by 6,410
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- Set.Ioistatement · cited by 1,463
- Set.Icistatement · cited by 1,070
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
- MeasureTheory.NullSingletonClass.measure_singletonproof · cited by 47
- MeasureTheory.Ioi_ae_eq_Ici'proof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_eq_two_pi_pow_mul_integralproof · cited by 1
- MeasureTheory.Measure.pi_Ioi_ae_eq_pi_Iciproof · cited by 1
- Real.volume_Iciproof · cited by 1
- MeasureTheory.restrict_Ioi_eq_restrict_Iciproof · cited by 1
- Real.integrableOn_rpowIntegrand₀₁_Iciproof · cited by 1