Theorems · Theorem · measure theory
MeasureTheory.Measure.AbsolutelyContinuous.isOpenPosMeasure
∀ {X : Type u_1} [inst : TopologicalSpace X] {m : MeasurableSpace X} {μ ν : MeasureTheory.Measure X}
[μ.IsOpenPosMeasure], μ.AbsolutelyContinuous ν → ν.IsOpenPosMeasure- Defined in
- Mathlib.MeasureTheory.Measure.OpenPos
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 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.
- DFunLike.coeproof · cited by 62,936
- Setproof · 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
- Set.Nonemptyproof · cited by 2,627
- IsOpenproof · cited by 2,400
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
- MeasureTheory.Measure.IsOpenPosMeasurestatement and proof · cited by 80
- IsOpen.measure_ne_zeroproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- LE.le.isOpenPosMeasureproof · cited by 0