Mathlib Map

Theorems · Inductive type · general topology

IsometryEquiv

(α : Type u) → (β : Type v) → [PseudoEMetricSpace α] → [PseudoEMetricSpace β] → Type (max u v)

α and β are isometric if there is an isometric bijection between them.

Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
177 results in Mathlib
Foundations
Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Assumes
PseudoEMetricSpacePseudoEMetricSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by239

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 239.