Theorems · Theorem · general topology
IsometryClass.isometry
∀ {F : Type u_3} {α : outParam (Type u_4)} {β : outParam (Type u_5)} {inst : PseudoEMetricSpace α}
{inst_1 : PseudoEMetricSpace β} {inst_2 : FunLike F α β} [self : IsometryClass F α β] (f : F), Isometry ⇑f- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsometryClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Isometrystatement · cited by 230
- IsometryClassstatement and proof · cited by 19
Cited by12
Results whose statement or proof uses this declaration.
- norm_mapproof · cited by 20
- norm_map'proof · cited by 1
- IsometryClass.nndist_eqproof · cited by 0
- IsometryClass.antilipschitzproof · cited by 0
- IsometryClass.continuousproof · cited by 0
- IsometryClass.diam_imageproof · cited by 0
- IsometryClass.diam_rangeproof · cited by 0
- IsometryClass.dist_eqproof · cited by 0
- IsometryClass.ediam_imageproof · cited by 0
- IsometryClass.ediam_rangeproof · cited by 0
- IsometryClass.edist_eqproof · cited by 0
- IsometryClass.lipschitzproof · cited by 0