Theorems · Theorem · category theory
SemiNormedGrp.completion.lift_unique
∀ {V W : SemiNormedGrp} [inst : CompleteSpace W.carrier] [inst_1 : T0Space W.carrier] (f : V ⟶ W)
(g : SemiNormedGrp.completion.obj V ⟶ W),
CategoryTheory.CategoryStruct.comp SemiNormedGrp.completion.incl g = f → g = SemiNormedGrp.completion.lift f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteSpaceT0Space
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Cites14
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 and proof · cited by 17,999
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CompleteSpacestatement and proof · cited by 2,532
- T0Spacestatement and proof · cited by 179
- SemiNormedGrpstatement and proof · cited by 66
- SemiNormedGrp.carrierstatement and proof · cited by 45
- SemiNormedGrp.completionstatement and proof · cited by 8
- SemiNormedGrp.hom_extproof · cited by 3
- SemiNormedGrp.completion.inclstatement and proof · cited by 3
- SemiNormedGrp.completion.liftstatement · cited by 2
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