Theorems · Theorem · category theory
UniformSpaceCat.extension_comp_hom
∀ {X : UniformSpaceCat} {Y : CpltSepUniformSpace}
(f : (CpltSepUniformSpace.of (UniformSpace.Completion X.carrier)).toUniformSpace ⟶ Y.toUniformSpace),
(UniformSpaceCat.extensionHom (CategoryTheory.CategoryStruct.comp X.completionHom f)).hom = f- Defined in
- Mathlib.Topology.Category.UniformSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- UniformContinuousstatement · cited by 410
- CategoryTheory.forget₂statement · cited by 260
- UniformSpace.Completionstatement and proof · cited by 192
- UniformSpaceCatstatement and proof · cited by 20
- UniformSpaceCat.carrierstatement and proof · cited by 20
- CpltSepUniformSpacestatement and proof · cited by 9
- CpltSepUniformSpace.αstatement · cited by 7
- UniformSpaceCat.Hom.homproof · cited by 7
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