Theorems · Theorem · measure theory
MeasureTheory.Measure.support_mem_ae_of_innerRegular
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : MeasurableSpace X] {μ : MeasureTheory.Measure X}
[OpensMeasurableSpace X] [μ.InnerRegular], μ.support ∈ MeasureTheory.ae μAn inner regular measure has conull support when open sets are measurable.
- Defined in
- Mathlib.MeasureTheory.Measure.Support
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · 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
- ENNRealproof · cited by 9,879
- Filterstatement · cited by 8,121
- IsOpenproof · cited by 2,400
- MeasureTheory.aestatement · cited by 2,352
- OpensMeasurableSpacestatement and proof · cited by 636
- IsOpen.measurableSetproof · cited by 82
- MeasureTheory.Measure.InnerRegularstatement and proof · cited by 49
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measure_compl_support_of_innerRegularproof · cited by 0