Theorems · Theorem · functional analysis
NormedAddGroupHom.ker_le_ker_completion
∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] {H : Type u_2} [inst_1 : SeminormedAddCommGroup H]
(f : NormedAddGroupHom G H), (NormedAddCommGroup.toCompl.comp (NormedAddGroupHom.incl f.ker)).range ≤ f.completion.ker- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddSubgroupstatement · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement and proof · cited by 216
- UniformSpace.Completionstatement and proof · cited by 192
- UniformSpace.Completion.coe'proof · cited by 144
- NormedAddGroupHom.compstatement and proof · cited by 39
- NormedAddGroupHom.completionstatement and proof · cited by 15
- NormedAddGroupHom.kerstatement and proof · cited by 14
- NormedAddGroupHom.toAddMonoidHomproof · cited by 13
- NormedAddGroupHom.rangestatement and proof · cited by 11
- NormedAddGroupHom.inclstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.ker_completionproof · cited by 0