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Theorems · Theorem · category theory

SemiNormedGrp.completion.lift_comp_incl

∀ {V W : SemiNormedGrp} [inst : CompleteSpace W.carrier] [inst_1 : T0Space W.carrier] (f : V ⟶ W),
  CategoryTheory.CategoryStruct.comp SemiNormedGrp.completion.incl (SemiNormedGrp.completion.lift f) = f
Defined in
Mathlib.Analysis.Normed.Group.SemiNormedGrp.Completion
Cited by
0 results in Mathlib
Foundations
Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CompleteSpaceT0Space
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCompleteSpace · cited by 2532CompleteSpaceT0Space · cited by 179T0SpaceSemiNormedGrp · cited by 66SemiNormedGrpSemiNormedGrp.carrier · cited by 45SemiNormedGrp.carrierSemiNormedGrp.Hom.hom · cited by 24Hom.homSemiNormedGrp.completion · cited by 8SemiNormedGrp.completionSemiNormedGrp.completion.incl · cited by 3completion.inclSemiNormedGrp.completion.lift · cited by 2completion.liftSemiNormedGrp.ext · cited by 2SemiNormedGrp.extNormedAddGroupHom.extension_coe · cited by 1NormedAddGroupHom.extensi…completion.lift_comp_inclCITED BYCITES

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