Theorems · Theorem · measure theory
MeasureTheory.Measure.WeaklyRegular.innerRegular
∀ {α : Type u_1} {inst : MeasurableSpace α} {inst_1 : TopologicalSpace α} {μ : MeasureTheory.Measure α}
[self : μ.WeaklyRegular], μ.InnerRegularWRT IsClosed IsOpen- Defined in
- Mathlib.MeasureTheory.Measure.Regular
- Cited by
- 4 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
- IsOpenstatement · cited by 2,400
- IsClosedstatement · cited by 1,639
- MeasureTheory.Measure.InnerRegularWRTstatement · cited by 44
- MeasureTheory.Measure.WeaklyRegularstatement and proof · cited by 31
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.WeaklyRegular.innerRegular_measurableproof · cited by 4
- IsOpen.exists_lt_isClosedproof · cited by 0
- IsOpen.measure_eq_iSup_isClosedproof · cited by 0
- MeasureTheory.Measure.WeaklyRegular.smulproof · cited by 0