Theorems · Theorem · general topology
BoundedContinuousFunction.mkOfCompact_apply
∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β] [inst_2 : CompactSpace α]
(f : C(α, β)) (a : α), (BoundedContinuousFunction.mkOfCompact f) a = f a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- ContinuousMapstatement and proof · cited by 2,491
- PseudoMetricSpacestatement and proof · cited by 1,550
- CompactSpacestatement and proof · cited by 593
- BoundedContinuousFunctionstatement · cited by 511
- BoundedContinuousFunction.mkOfCompactstatement · cited by 21
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