Theorems · Definition · functional analysis
NormedAddGroupHom.completion
{G : Type u_1} →
[inst : SeminormedAddCommGroup G] →
{H : Type u_2} →
[inst_1 : SeminormedAddCommGroup H] →
NormedAddGroupHom G H → NormedAddGroupHom (UniformSpace.Completion G) (UniformSpace.Completion H)The normed group hom induced between completions.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 216
- UniformSpace.Completionstatement · cited by 192
- NormedAddGroupHom.toAddMonoidHomproof · cited by 13
- AddMonoidHom.completionproof · cited by 7
- NormedAddGroupHom.continuousproof · cited by 4
- NormedAddGroupHom.ofLipschitzproof · cited by 1
Cited by17
Results whose statement or proof uses this declaration.
- SemiNormedGrp.completionproof · cited by 8
- normedAddGroupHomCompletionHomproof · cited by 5
- NormedAddGroupHom.norm_completionstatement and proof · cited by 2
- NormedAddGroupHom.completion_defstatement · cited by 2
- NormedAddGroupHom.ker_le_ker_completionstatement and proof · cited by 1
- NormedAddGroupHom.completion_coestatement · cited by 1
- NormedAddGroupHom.completion_coe_to_funstatement · cited by 1
- NormedAddGroupHom.ker_completionstatement and proof · cited by 0
- normedAddGroupHomCompletionHom_applystatement · cited by 0
- NormedAddGroupHom.zero_completionstatement · cited by 0
- NormedAddGroupHom.completion_addstatement · cited by 0
- NormedAddGroupHom.completion_compstatement and proof · cited by 0