Theorems · Definition · general topology
BoundedContinuousFunction.toContinuousMap
{α : Type u} →
{β : Type v} → [inst : TopologicalSpace α] → [inst_1 : PseudoMetricSpace β] → BoundedContinuousFunction α β → C(α, β)- Cited by
- 19 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
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.
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement · cited by 2,491
- PseudoMetricSpacestatement and proof · cited by 1,550
- BoundedContinuousFunctionstatement and proof · cited by 511
Cited by25
Results whose statement or proof uses this declaration.
- BoundedContinuousFunction.continuousproof · cited by 26
- BoundedContinuousFunction.compContinuousproof · cited by 25
- ContinuousMap.equivBoundedOfCompactproof · cited by 11
- BoundedContinuousFunction.toContinuousMapLinearMapproof · cited by 4
- BoundedContinuousFunction.map_bounded'statement · cited by 4
- BoundedContinuousFunction.mem_Lpstatement and proof · cited by 4
- BoundedContinuousFunction.toContinuousMapAddMonoidHomproof · cited by 3
- ContinuousMap.toLp_denseRangeproof · cited by 2
- BoundedContinuousFunction.Lp_nnnorm_lestatement and proof · cited by 1
- BoundedContinuousFunction.Lp_norm_lestatement · cited by 1
- BoundedContinuousFunction.toContinuousMapMonoidHomproof · cited by 1