Theorems · Theorem · functional analysis
NormedAddGroupHom.id_apply
∀ (V : Type u_1) [inst : SeminormedAddCommGroup V] (a : V), (NormedAddGroupHom.id V) a = a
- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 104 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.
- DFunLike.coestatement and proof · cited by 62,936
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement · cited by 216
- NormedAddGroupHom.idstatement and proof · cited by 12
Cited by6
Results whose statement or proof uses this declaration.
- SemiNormedGrp.id_applyproof · cited by 1
- SemiNormedGrp₁.id_applyproof · cited by 1
- NormedAddGroupHom.norm_id_leproof · cited by 1
- SemiNormedGrp₁.inv_hom_applyproof · cited by 0
- SemiNormedGrp₁.hom_inv_applyproof · cited by 0
- NormedAddGroupHom.norm_idproof · cited by 0