Theorems · Definition · functional analysis
NormedAddGroupHom.range
{V₁ : Type u_3} →
{V₂ : Type u_4} →
[inst : SeminormedAddCommGroup V₁] → [inst_1 : SeminormedAddCommGroup V₂] → NormedAddGroupHom V₁ V₂ → AddSubgroup V₂The image of a bounded group homomorphism. Naturally endowed with a
SeminormedAddCommGroup instance.
- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubgroupstatement · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement and proof · cited by 216
- AddMonoidHom.rangeproof · cited by 142
- NormedAddGroupHom.toAddMonoidHomproof · cited by 13
Cited by15
Results whose statement or proof uses this declaration.
- SemiNormedGrp.cokernelCoconeproof · cited by 5
- SemiNormedGrp.explicitCokernelDesc_norm_le_of_norm_leproof · cited by 2
- NormedAddGroupHom.incl_rangestatement and proof · cited by 1
- BoundedContinuousFunction.range_toLpHomstatement · cited by 1
- NormedAddGroupHom.ker_le_ker_completionstatement and proof · cited by 1
- NormedAddGroupHom.mem_rangestatement · cited by 1
- NormedAddGroupHom.mem_range_selfstatement · cited by 1
- NormedAddGroupHom.comp_rangestatement · cited by 1
- SemiNormedGrp.isQuotient_explicitCokernelπproof · cited by 1
- NormedAddGroupHom.ker_completionstatement and proof · cited by 0
- SemiNormedGrp.cokernelLiftproof · cited by 0
- controlled_closure_range_of_completestatement and proof · cited by 0