Theorems · Theorem · measure theory
MeasureTheory.Measure.WeaklyRegular.innerRegular_measurable
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace α]
[μ.WeaklyRegular], μ.InnerRegularWRT IsClosed fun s => MeasurableSet s ∧ μ s ≠ ⊤- Defined in
- Mathlib.MeasureTheory.Measure.Regular
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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 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
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- MeasurableSetstatement · cited by 3,075
- IsOpenproof · cited by 2,400
- IsClosedstatement and proof · cited by 1,639
- IsClosed.interproof · cited by 61
- IsOpen.isClosed_complproof · cited by 50
Cited by4
Results whose statement or proof uses this declaration.
- MeasurableSet.exists_isClosed_lt_addproof · cited by 2
- MeasureTheory.Measure.WeaklyRegular.restrict_of_measure_ne_topproof · cited by 1
- MeasurableSet.exists_lt_isClosed_of_ne_topproof · cited by 0
- MeasurableSet.measure_eq_iSup_isClosed_of_ne_topproof · cited by 0