Theorems · Theorem · general topology
ContinuousMap.attachBound_apply_coe
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : CompactSpace X] (f : C(X, ℝ)) (x : X), ↑(f.attachBound x) = f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceCompactSpace
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- Norm.normstatement · cited by 5,413
- ContinuousMapstatement and proof · cited by 2,491
- Set.Iccstatement · cited by 1,702
- CompactSpacestatement and proof · cited by 593
- ContinuousMap.attachBoundstatement · cited by 5
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