Theorems · Theorem · measure theory
MeasureTheory.Measure.measure_Ioi_pos
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : LinearOrder X] [OrderTopology X] {m : MeasurableSpace X}
(μ : MeasureTheory.Measure X) [μ.IsOpenPosMeasure] [NoMaxOrder X] (a : X), 0 < μ (Set.Ioi a)- Defined in
- Mathlib.MeasureTheory.Measure.OpenPos
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- LinearOrderstatement and proof · cited by 8,572
- Set.Ioistatement · cited by 1,463
- OrderTopologystatement and proof · cited by 1,355
- NoMaxOrderstatement and proof · cited by 340
- MeasureTheory.Measure.IsOpenPosMeasurestatement and proof · cited by 80
- isOpen_Ioiproof · cited by 43
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