Theorems · Theorem · category theory
CategoryTheory.AddGrp.comp_hom_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{R S T : CategoryTheory.AddGrp C} (f : R ⟶ S) (g : S ⟶ T),
(CategoryTheory.CategoryStruct.comp f g).hom.hom = CategoryTheory.CategoryStruct.comp f.hom.hom g.hom.hom- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.AddMonstatement · cited by 177
- CategoryTheory.AddMon.Xstatement · cited by 126
- CategoryTheory.AddMon.Hom.homstatement · cited by 94
- CategoryTheory.AddGrpstatement and proof · cited by 91
- CategoryTheory.AddGrp.toAddMonstatement · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrp.comp_hom_hom_assocproof · cited by 0