Theorems · Theorem · general topology
TopologicalSpace.Closeds.isometry_singleton
∀ {α : Type u_1} [inst : EMetricSpace α], Isometry fun x => {x}- Defined in
- Mathlib.Topology.MetricSpace.Closeds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- EMetricSpacestatement and proof · cited by 242
- Isometrystatement · cited by 230
- TopologicalSpace.Closedsstatement · cited by 168
- Metric.hausdorffEDist_singletonproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- EMetric.Closeds.isometry_singletonproof · cited by 0