Theorems · Theorem · category theory
UniformSpaceCat.completionHom_val
∀ (X : UniformSpaceCat) (x : X.carrier), (CategoryTheory.ConcreteCategory.hom X.completionHom) x = ↑x
- Defined in
- Mathlib.Topology.Category.UniformSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- UniformContinuousstatement · cited by 410
- CategoryTheory.forget₂statement · cited by 260
- UniformSpace.Completion.coe'statement · cited by 144
- UniformSpaceCatstatement and proof · cited by 20
- UniformSpaceCat.carrierstatement and proof · cited by 20
- CpltSepUniformSpacestatement · cited by 9
- CpltSepUniformSpace.αstatement · cited by 7
- UniformSpaceCat.completionFunctorstatement · cited by 4
- UniformSpaceCat.completionHomstatement · cited by 2
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