Theorems · Theorem · general topology
IsometryEquiv.isometry_toFun
∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (self : α ≃ᵢ β),
Isometry self.toFun- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 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.
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Equiv.toFunstatement · cited by 279
- Isometrystatement · cited by 230
- IsometryEquivstatement and proof · cited by 177
- IsometryEquiv.toEquivstatement · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- IsometryEquiv.isometryproof · cited by 22