Theorems · Theorem · measure theory
MeasureTheory.Measure.InnerRegular.innerRegular
∀ {α : Type u_1} {inst : MeasurableSpace α} {inst_1 : TopologicalSpace α} {μ : MeasureTheory.Measure α}
[self : μ.InnerRegular], μ.InnerRegularWRT IsCompact MeasurableSet- Defined in
- Mathlib.MeasureTheory.Measure.Regular
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetstatement · cited by 3,075
- IsCompactstatement · cited by 1,282
- MeasureTheory.Measure.InnerRegularstatement and proof · cited by 49
- MeasureTheory.Measure.InnerRegularWRTstatement · cited by 44
Cited by7
Results whose statement or proof uses this declaration.
- MeasurableSet.measure_eq_iSup_isCompactproof · cited by 4
- MeasureTheory.Measure.InnerRegular.map_of_continuousproof · cited by 2
- MeasurableSet.exists_lt_isCompactproof · cited by 2
- MeasureTheory.Measure.support_mem_ae_of_innerRegularproof · cited by 1
- MeasureTheory.Measure.InnerRegular.comap'proof · cited by 1
- MeasureTheory.Measure.InnerRegular.innerRegularWRT_isClosed_isOpenproof · cited by 0
- MeasureTheory.isTightMeasureSet_singleton_of_innerRegularproof · cited by 0