Theorems · Theorem · measure theory
MeasureTheory.Ico_ae_eq_Ioc
∀ {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.Ioc a b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 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.Iocstatement · cited by 971
- Set.Icostatement · cited by 799
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
- MeasureTheory.NullSingletonClass.measure_singletonproof · cited by 47
- MeasureTheory.Ico_ae_eq_Ioc'proof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- intervalIntegral.integral_comp_mul_rightproof · cited by 3
- MeasureTheory.restrict_Ico_eq_restrict_Iocproof · cited by 0