Theorems · Theorem · measure theory
MeasureTheory.restrict_Ioo_eq_restrict_Ico
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.NullSingletonClass μ]
[inst : PartialOrder α] {a b : α}, μ.restrict (Set.Ioo a b) = μ.restrict (Set.Ico a b)- Cited by
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- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- Set.Ioostatement · cited by 1,214
- Set.Icostatement · cited by 799
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
- MeasureTheory.Measure.restrict_congr_setproof · cited by 43
- MeasureTheory.Ioo_ae_eq_Icoproof · cited by 5
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