Theorems · Inductive type · general topology
IsometryClass
(F : Type u_3) →
(α : outParam (Type u_4)) →
(β : outParam (Type u_5)) → [PseudoEMetricSpace α] → [PseudoEMetricSpace β] → [FunLike F α β] → PropIsometryClass F α β states that F is a type of isometries.
- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
- PseudoEMetricSpacestatement · cited by 1,536
Cited by22
Results whose statement or proof uses this declaration.
- norm_mapstatement and proof · cited by 20
- IsometryClass.isometrystatement and proof · cited by 12
- nnnorm_mapstatement and proof · cited by 5
- enorm_mapstatement and proof · cited by 3
- IsometryClass.toIsometryEquivstatement and proof · cited by 2
- nnnorm_map'statement and proof · cited by 1
- norm_map'statement and proof · cited by 1
- enorm_map'statement and proof · cited by 0
- IsometryClass.antilipschitzstatement and proof · cited by 0
- IsometryClass.casesOnstatement and proof · cited by 0
- IsometryClass.coe_coestatement and proof · cited by 0
- IsometryClass.continuousstatement and proof · cited by 0