Theorems · Theorem · general topology
EMetric.infEdist_empty
Deprecated since 2026-01-08Use Metric.infEDist_empty instead.
∀ {α : Type u} [inst : PseudoEMetricSpace α] {x : α}, Metric.infEDist x ∅ = ⊤Alias of Metric.infEDist_empty.
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- 0 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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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 · cited by 1,536
- Metric.infEDiststatement · cited by 147
- Metric.infEDist_emptyproof · cited by 6
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