Theorems · Inductive type · functional analysis
NormedAddGroupHom
(V : Type u_1) → (W : Type u_2) → [SeminormedAddCommGroup V] → [SeminormedAddCommGroup W] → Type (max u_1 u_2)
A morphism of seminormed abelian groups is a bounded group homomorphism.
- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 216 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SeminormedAddCommGroupstatement · cited by 2,671
Cited by275
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.NormNonincstatement and proof · cited by 41
- NormedAddGroupHom.compstatement and proof · cited by 39
- SemiNormedGrp.Hom.homstatement · cited by 24
- SemiNormedGrp₁.Hom.homstatement · cited by 18
- NormedAddGroupHom.extstatement and proof · cited by 18
- NormedAddGroupHom.completionstatement and proof · cited by 15
- NormedAddGroupHom.equalizerstatement and proof · cited by 14
- NormedAddGroupHom.kerstatement and proof · cited by 14
- NormedAddGroupHom.toAddMonoidHomstatement and proof · cited by 13
- NormedAddGroupHom.idstatement · cited by 12
- NormedAddGroupHom.opNorm_le_boundstatement and proof · cited by 12
- NormedAddGroupHom.rangestatement and proof · cited by 11
Showing the 200 most cited of 275.