Theorems · Theorem · functional analysis
NormedAddGroupHom.range_comp_incl_top
∀ {V₁ : Type u_3} {V₂ : Type u_4} [inst : SeminormedAddCommGroup V₁] [inst_1 : SeminormedAddCommGroup V₂]
(f : NormedAddGroupHom V₁ V₂), (f.comp (NormedAddGroupHom.incl ⊤)).range = f.range- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddSubgroupstatement · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement and proof · cited by 216
- AddSubgroup.mapproof · cited by 189
- AddMonoidHom.rangeproof · cited by 142
- NormedAddGroupHom.compstatement · cited by 39
- NormedAddGroupHom.toAddMonoidHomproof · cited by 13
- NormedAddGroupHom.rangestatement and proof · cited by 11
- NormedAddGroupHom.inclstatement and proof · cited by 7
- NormedAddGroupHom.incl_rangeproof · cited by 1
- NormedAddGroupHom.comp_rangeproof · cited by 1
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