Theorems · Definition · category theory
CategoryTheory.AddMonObj.add
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{inst_1 : CategoryTheory.MonoidalCategory C} →
{X : C} → [self : CategoryTheory.AddMonObj X] → CategoryTheory.MonoidalCategoryStruct.tensorObj X X ⟶ XThe addition morphism of an additive monoid object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 134 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 12 definitions · uses no axioms
- Assumes
- CategoryTheory.AddMonObj
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 32,603
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.AddMonObjstatement and proof · cited by 158
Cited by162
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.addMonObjObjproof · cited by 10
- CategoryTheory.AddMonObj.add_assocstatement · cited by 7
- CategoryTheory.AddMonObj.add_zerostatement · cited by 7
- CategoryTheory.AddMonObj.zero_addstatement · cited by 7
- CategoryTheory.AddGrpObj.left_negstatement · cited by 6
- CategoryTheory.AddGrpObj.lift_comp_neg_leftstatement and proof · cited by 6
- CategoryTheory.AddGrpObj.lift_comp_neg_rightstatement and proof · cited by 6
- CategoryTheory.AddGrpObj.right_negstatement · cited by 5
- CategoryTheory.AddMonObj.lift_comp_zero_rightstatement and proof · cited by 5
- CategoryTheory.AddMonObj.lift_lift_assocstatement and proof · cited by 5
- CategoryTheory.AddModObj.add_vaddstatement · cited by 4
- CategoryTheory.IsAddMonHom.add_homstatement · cited by 4