Theorems · Definition · functional analysis
NormedAddGroupHom.id
(V : Type u_1) → [inst : SeminormedAddCommGroup V] → NormedAddGroupHom V V
The identity as a continuous normed group hom.
- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement · cited by 216
- AddMonoidHom.idproof · cited by 107
- AddMonoidHom.mkNormedAddGroupHomproof · cited by 5
Cited by12
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.id_applystatement and proof · cited by 6
- NormedAddGroupHom.norm_id_lestatement and proof · cited by 1
- NormedAddGroupHom.coe_idstatement · cited by 1
- NormedAddGroupHom.NormNoninc.idstatement · cited by 1
- SemiNormedGrp₁.hom_idstatement · cited by 0
- NormedAddGroupHom.Equalizer.map_idstatement and proof · cited by 0
- NormedAddGroupHom.isometry_idstatement · cited by 0
- NormedAddGroupHom.norm_idstatement and proof · cited by 0
- NormedAddGroupHom.completion_idstatement and proof · cited by 0
- SemiNormedGrp.hom_idstatement · cited by 0
- SemiNormedGrp.ofHom_idstatement · cited by 0
- SemiNormedGrp₁.mkHom_idstatement · cited by 0