Theorems · Theorem · general topology
EMetric.closedBall_top
Deprecated since 2026-01-24Use Metric.closedEBall_top instead.
∀ {α : Type u} [inst : PseudoEMetricSpace α] (x : α), Metric.closedEBall x ⊤ = Set.univAlias of Metric.closedEBall_top.
- Defined in
- Mathlib.Topology.EMetricSpace.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 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.
Cites7
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
- Set.univstatement · cited by 3,945
- PseudoEMetricSpacestatement · cited by 1,536
- Metric.closedEBallstatement · cited by 107
- Metric.closedEBall_topproof · cited by 3
Cited by0
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