Theorems · Theorem · measure theory
MeasureTheory.Measure.mkMetric_toOuterMeasure
∀ {X : Type u_2} [inst : EMetricSpace X] [inst_1 : MeasurableSpace X] [inst_2 : BorelSpace X] (m : ENNReal → ENNReal),
(MeasureTheory.Measure.mkMetric m).toOuterMeasure = MeasureTheory.OuterMeasure.mkMetric m- Defined in
- Mathlib.MeasureTheory.Measure.Hausdorff
- Cited by
- 3 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement and proof · cited by 9,879
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.OuterMeasurestatement · cited by 287
- EMetricSpacestatement and proof · cited by 242
- MeasureTheory.Measure.toOuterMeasurestatement · cited by 75
- MeasureTheory.OuterMeasure.mkMetricstatement · cited by 15
- MeasureTheory.Measure.mkMetricstatement · cited by 10
- MeasureTheory.OuterMeasure.trim_mkMetricproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.coe_mkMetricproof · cited by 1
- MeasureTheory.Measure.le_mkMetricproof · cited by 1
- MeasureTheory.Measure.mkMetric_topproof · cited by 0