Theorems · Definition · functional analysis
NormedAddGroupHom.toAddMonoidHom
{V₁ : Type u_2} →
{V₂ : Type u_3} →
[inst : SeminormedAddCommGroup V₁] → [inst_1 : SeminormedAddCommGroup V₂] → NormedAddGroupHom V₁ V₂ → V₁ →+ V₂The group homomorphism underlying a bounded group homomorphism.
- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddMonoidHomstatement · cited by 3,230
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement and proof · cited by 216
- AddMonoidHom.mk'proof · cited by 25
- NormedAddGroupHom.map_add'proof · cited by 0
Cited by19
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.compproof · cited by 39
- NormedAddGroupHom.completionproof · cited by 15
- NormedAddGroupHom.kerproof · cited by 14
- NormedAddGroupHom.rangeproof · cited by 11
- NormedAddGroupHom.liftproof · cited by 6
- NormedAddGroupHom.extensionproof · cited by 4
- NormedAddGroupHom.coe_toAddMonoidHomstatement · cited by 2
- NormedAddGroupHom.norm_completionproof · cited by 2
- QuotientAddGroup.norm_lift_apply_lestatement and proof · cited by 2
- NormedAddGroupHom.incl_rangeproof · cited by 1
- NormedAddGroupHom.ker_le_ker_completionproof · cited by 1
- NormedAddGroupHom.comp_rangestatement and proof · cited by 1