Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.mkMetric_top
∀ {X : Type u_2} [inst : EMetricSpace X], (MeasureTheory.OuterMeasure.mkMetric fun x => ⊤) = ⊤- Defined in
- Mathlib.MeasureTheory.Measure.Hausdorff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- iSupproof · cited by 2,415
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- iSup_congr_Propproof · cited by 247
- EMetricSpacestatement and proof · cited by 242
- iSup_posproof · cited by 61
- MeasureTheory.OuterMeasure.boundedByproof · cited by 21
- le_iSup_iffproof · cited by 16
- MeasureTheory.OuterMeasure.mkMetricstatement · cited by 15
- MeasureTheory.OuterMeasure.boundedBy_topproof · cited by 1
- MeasureTheory.extend_topproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.mkMetric_topproof · cited by 0