Theorems · Theorem · functional analysis
NormedAddGroupHom.isClosed_ker
∀ {V₁ : Type u_3} [inst : SeminormedAddCommGroup V₁] {V₂ : Type u_6} [inst_1 : NormedAddCommGroup V₂]
(f : NormedAddGroupHom V₁ V₂), IsClosed ↑f.ker- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- SetLike.coestatement · cited by 8,199
- AddSubgroupstatement · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- IsClosedstatement · cited by 1,639
- NormedAddGroupHomstatement and proof · cited by 216
- IsClosed.preimageproof · cited by 138
- NormedAddGroupHom.kerstatement · cited by 14
- T1Space.t1proof · cited by 11
- NormedAddGroupHom.continuousproof · cited by 4
- NormedAddGroupHom.coe_kerproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.ker_completionproof · cited by 0