Theorems · Theorem · measure theory
MeasureTheory.Ioc_ae_eq_Icc
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.NullSingletonClass μ]
[inst : PartialOrder α] {a b : α}, Set.Ioc a b =ᵐ[μ] Set.Icc a b- Cited by
- 9 results in Mathlib
- Foundations
- Depth 174 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.Iccstatement · cited by 1,702
- Set.Iocstatement · cited by 971
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
- MeasureTheory.NullSingletonClass.measure_singletonproof · cited by 47
- MeasureTheory.Ioc_ae_eq_Icc'proof · cited by 2
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.restrict_Ioc_eq_restrict_Iccproof · cited by 2
- MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countableproof · cited by 2
- intervalIntegral.integral_lt_integral_of_continuousOn_of_le_of_exists_ltproof · cited by 2
- circleIntegral_def_Iccproof · cited by 1
- MeasureTheory.Measure.pi_Ioc_ae_eq_pi_Iccproof · cited by 1
- MeasureTheory.integral_eq_of_hasDerivAt_off_countable_of_leproof · cited by 1
- MeasureTheory.uIoc_ae_eq_intervalproof · cited by 0
- torusIntegral_dim1proof · cited by 0