Theorems · Theorem · measure theory
MeasureTheory.restrict_Ioc_eq_restrict_Icc
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.NullSingletonClass μ]
[inst : PartialOrder α] {a b : α}, μ.restrict (Set.Ioc a b) = μ.restrict (Set.Icc a b)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Set.Iccstatement · cited by 1,702
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- Set.Iocstatement · cited by 971
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
- MeasureTheory.Measure.restrict_congr_setproof · cited by 43
- MeasureTheory.Ioc_ae_eq_Iccproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Manifold.pathELength_addproof · cited by 1
- enorm_sub_le_lintegral_deriv_of_contDiffOn_Iccproof · cited by 1