Theorems · Theorem · general topology
IsometryEquiv.isometry
∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β), Isometry ⇑h- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
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
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Isometrystatement · cited by 230
- IsometryEquivstatement and proof · cited by 177
- IsometryEquiv.isometry_toFunproof · cited by 1
Cited by22
Results whose statement or proof uses this declaration.
- IsometryEquiv.dist_eqproof · cited by 6
- IsometryEquiv.preimage_ballproof · cited by 4
- IsometryEquiv.preimage_closedBallproof · cited by 4
- IsometryEquiv.preimage_sphereproof · cited by 4
- GromovHausdorff.eq_toGHSpace_iffproof · cited by 3
- IsometryEquiv.hausdorffMeasure_imageproof · cited by 3
- IsometryEquiv.nndist_eqproof · cited by 3
- IsometryEquiv.preimage_closedEBallproof · cited by 2
- IsometryEquiv.preimage_eballproof · cited by 2
- QuotientAddGroup.norm_mkproof · cited by 2
- IsometryEquiv.continuousproof · cited by 2
- IsometryEquiv.ediam_imageproof · cited by 1