Theorems · Theorem · functional analysis
NormedAddGroupHom.coe_ker
∀ {V₁ : Type u_3} {V₂ : Type u_4} [inst : SeminormedAddCommGroup V₁] [inst_1 : SeminormedAddCommGroup V₂]
(f : NormedAddGroupHom V₁ V₂), ↑f.ker = ⇑f ⁻¹' {0}- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.preimagestatement · cited by 4,946
- AddSubgroupstatement · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement and proof · cited by 216
- NormedAddGroupHom.kerstatement · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.isClosed_kerproof · cited by 1