Theorems · Theorem · general topology
Metric.infEDist_empty
∀ {α : Type u} [inst : PseudoEMetricSpace α] {x : α}, Metric.infEDist x ∅ = ⊤- Cited by
- 6 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Metric.infEDiststatement · cited by 147
- iInf_emptysetproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Metric.thickening_emptyproof · cited by 4
- Metric.hausdorffEDist_emptyproof · cited by 3
- Metric.cthickening_emptyproof · cited by 3
- Metric.infEDist_eq_top_iffproof · cited by 2
- Metric.infDist_emptyproof · cited by 1
- EMetric.infEdist_emptyproof · cited by 0