Theorems · Theorem · general topology
UniformFun.isometry_ofFun_continuousMap
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace β] [inst_1 : TopologicalSpace α] [inst_2 : CompactSpace α],
Isometry (⇑UniformFun.ofFun ∘ DFunLike.coe)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Equivstatement · cited by 8,337
- ContinuousMapstatement · cited by 2,491
- PseudoMetricSpacestatement and proof · cited by 1,550
- CompactSpacestatement and proof · cited by 593
- Isometrystatement · cited by 230
- UniformFunstatement · cited by 106
- UniformFun.ofFunstatement · cited by 78
- IsometryEquiv.isometryproof · cited by 22
- Isometry.compproof · cited by 10
- ContinuousMap.isometryEquivBoundedOfCompactproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- UniformFun.edist_continuousMapMkproof · cited by 0