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
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.
- PseudoEMetricSpacestatement · cited by 1,536
Cited by239
Results whose statement or proof uses this declaration.
- IsometryEquiv.symmstatement and proof · cited by 75
- IsometryEquiv.toEquivstatement and proof · cited by 33
- IsometryEquiv.isometrystatement and proof · cited by 22
- IsometryEquiv.toHomeomorphstatement and proof · cited by 16
- LinearIsometryEquiv.toIsometryEquivstatement · cited by 15
- IsometryEquiv.vaddConststatement · cited by 14
- Delone.DeloneSet.mapIsometrystatement and proof · cited by 9
- ContinuousMap.isometryEquivBoundedOfCompactstatement · cited by 8
- IsometryEquiv.constSMulstatement · cited by 8
- IsometryEquiv.constVAddstatement · cited by 8
- IsometryEquiv.extstatement and proof · cited by 8
- IsometryEquiv.invstatement · cited by 8
Showing the 200 most cited of 239.