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Theorems · Definition · category theory

SemiNormedGrp.ofHom

{M N : Type u} →
  [inst : SeminormedAddCommGroup M] →
    [inst_1 : SeminormedAddCommGroup N] →
      NormedAddGroupHom M N → ({ carrier := M, str := inst } ⟶ { carrier := N, str := inst_1 })

Typecheck a NormedAddGroupHom as a morphism in SemiNormedGrp.

Defined in
Mathlib.Analysis.Normed.Group.SemiNormedGrp
Cited by
6 results in Mathlib
Foundations
Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupSeminormedAddCommGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SemiNormedGrp.completion · cited by 8SemiNormedGrp.completionSemiNormedGrp.cokernelCocone · cited by 5SemiNormedGrp.cokernelCoc…SemiNormedGrp.completion.incl · cited by 3completion.inclSemiNormedGrp.completion.lift · cited by 2completion.liftSemiNormedGrp.cokernelLift · cited by 0SemiNormedGrp.cokernelLiftSemiNormedGrp.fork · cited by 0SemiNormedGrp.forkSemiNormedGrp.completion_map · cited by 0SemiNormedGrp.completion_…SemiNormedGrp.ofHom_apply · cited by 0SemiNormedGrp.ofHom_applySemiNormedGrp.ofHom_comp · cited by 0SemiNormedGrp.ofHom_compSemiNormedGrp.ofHom_hom · cited by 0SemiNormedGrp.ofHom_homSemiNormedGrp.ofHom_id · cited by 0SemiNormedGrp.ofHom_idSemiNormedGrp.hom_ofHom · cited by 0SemiNormedGrp.hom_ofHomQuiver.Hom · cited by 32603Quiver.HomSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedAddGroupHom · cited by 216NormedAddGroupHomSemiNormedGrp · cited by 66SemiNormedGrpCategoryTheory.ConcreteCategory.ofHom · cited by 18ConcreteCategory.ofHomSemiNormedGrp.ofHomCITED BYCITES

Cites5

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Cited by12

Results whose statement or proof uses this declaration.