Theorems · Theorem · category theory
CategoryTheory.AddGrpObj.addRight_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{A : C} [inst_2 : CategoryTheory.AddGrpObj A] (f : CategoryTheory.MonoidalCategoryStruct.tensorUnit C ⟶ A),
(CategoryTheory.AddGrpObj.addRight f).hom =
CategoryTheory.CategoryStruct.comp
(CategoryTheory.CartesianMonoidalCategory.lift (CategoryTheory.CategoryStruct.id A)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.toUnit A) f))
CategoryTheory.AddMonObj.add- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.CartesianMonoidalCategory.liftstatement · cited by 160
- CategoryTheory.AddMonObj.addstatement · cited by 134
- CategoryTheory.SemiCartesianMonoidalCategory.toUnitstatement · cited by 103
- CategoryTheory.AddGrpObjstatement and proof · cited by 88
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrpObj.addRight_zeroproof · cited by 0