Theorems · Theorem · general topology
IsometryEquiv.ext
∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] ⦃h₁ h₂ : α ≃ᵢ β⦄,
(∀ (x : α), h₁ x = h₂ x) → h₁ = h₂- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 8 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- PseudoEMetricSpacestatement and proof · cited by 1,536
- DFunLike.extproof · cited by 240
- IsometryEquivstatement and proof · cited by 177
Cited by8
Results whose statement or proof uses this declaration.
- IsometryEquiv.constSMul_symmproof · cited by 1
- IsometryEquiv.constVAdd_symmproof · cited by 1
- IsometryEquiv.coe_toRealAffineIsometryEquivproof · cited by 0
- IsometryEquiv.divRight_symmproof · cited by 0
- IsometryEquiv.ext_iffproof · cited by 0
- IsometryEquiv.addRight_symmproof · cited by 0
- IsometryEquiv.mulRight_symmproof · cited by 0
- IsometryEquiv.subRight_symmproof · cited by 0