Theorems · Theorem · general topology
ContinuousMap.isometryEquivBoundedOfCompact_apply
∀ (α : Type u_1) (β : Type u_2) [inst : TopologicalSpace α] [inst_1 : CompactSpace α] [inst_2 : PseudoMetricSpace β], ⇑(ContinuousMap.isometryEquivBoundedOfCompact α β) = BoundedContinuousFunction.mkOfCompact
- Defined in
- Mathlib.Topology.ContinuousMap.Compact
- Cited by
- 3 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.
Cites9
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
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement · cited by 2,491
- PseudoMetricSpacestatement and proof · cited by 1,550
- CompactSpacestatement and proof · cited by 593
- BoundedContinuousFunctionstatement · cited by 511
- IsometryEquivstatement · cited by 177
- BoundedContinuousFunction.mkOfCompactstatement · cited by 21
- ContinuousMap.isometryEquivBoundedOfCompactstatement and proof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- ContinuousMap.edist_eq_iSupproof · cited by 2
- ContinuousMap.nndist_eq_iSupproof · cited by 0
- ContinuousMap.dist_eq_iSupproof · cited by 0