Theorems · Theorem · category theory
CategoryTheory.AddMonObj.comp_add
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{M X Y : C} [inst_2 : CategoryTheory.AddMonObj M] (f : X ⟶ Y) (g₁ g₂ : Y ⟶ M),
CategoryTheory.CategoryStruct.comp f (g₁ + g₂) =
CategoryTheory.CategoryStruct.comp f g₁ + CategoryTheory.CategoryStruct.comp f g₂- Cited by
- 9 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.mapproof · cited by 8,698
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- AddMonoidHom.map_addproof · cited by 48
- CategoryTheory.Hom.addMonoidstatement · cited by 44
- AddMonCat.Hom.homproof · cited by 21
- CategoryTheory.yonedaAddMonproof · cited by 8
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrpObj.lift_addCommutator_eq_add_add_neg_negproof · cited by 2
- CategoryTheory.AddGrpObj.lift_addConj_eq_add_add_negproof · cited by 2
- CategoryTheory.AddMonObj.comp_nsmulproof · cited by 2
- CategoryTheory.AddGrpObj.whiskerLeft_η_addCommutatorproof · cited by 1
- CategoryTheory.AddGrpObj.η_whiskerRight_addCommutatorproof · cited by 1
- CategoryTheory.isCommAddMonObj_iff_isAddCommutativeproof · cited by 1
- CategoryTheory.IsAddMonHom.Normal.of_isPullback_ηproof · cited by 0
- CategoryTheory.IsAddMonHom.normal_iff_normal_addMonoidHomproof · cited by 0
- CategoryTheory.AddMonObj.comp_add_assocproof · cited by 0