Theorems · Theorem · general topology
IsometryEquiv.symm_symm
∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β), h.symm.symm = h- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PseudoEMetricSpacestatement and proof · cited by 1,536
- IsometryEquivstatement and proof · cited by 177
- IsometryEquiv.symmstatement · cited by 75
Cited by6
Results whose statement or proof uses this declaration.
- IsometryEquiv.image_ballproof · cited by 3
- IsometryEquiv.image_closedBallproof · cited by 3
- IsometryEquiv.image_closedEBallproof · cited by 3
- IsometryEquiv.image_eballproof · cited by 3
- IsometryEquiv.image_sphereproof · cited by 3
- IsometryEquiv.symm_bijectiveproof · cited by 0