Theorems · Definition · category theory
CategoryTheory.AddGrp.homMk
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
{A B : CategoryTheory.AddGrp C} → (f : A.X ⟶ B.X) → [CategoryTheory.IsAddMonHom f] → A ⟶ BConstruct a morphism A ⟶ B of AddGrp C from a map f : A.X ⟶ A.X and a IsAddMonHom f
instance.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.AddGrpstatement and proof · cited by 91
- CategoryTheory.AddGrp.Xstatement and proof · cited by 64
- CategoryTheory.IsAddMonHomstatement and proof · cited by 49
- CategoryTheory.AddGrp.homMk'proof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrp.homMk''proof · cited by 2
- CategoryTheory.AddGrp.ofHomproof · cited by 1
- CategoryTheory.AddGrpObj.sub_compproof · cited by 1
- CategoryTheory.AddGrpObj.zsmul_compproof · cited by 1
- CategoryTheory.AddGrp.homMk_hom_homstatement and proof · cited by 0