Theorems · Definition · category theory
CategoryTheory.Functor.mapAddGrpFunctor
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
{D : Type u₂} →
[inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
[inst_3 : CategoryTheory.CartesianMonoidalCategory D] →
CategoryTheory.Functor (C ⥤ₗ D) (CategoryTheory.Functor (CategoryTheory.AddGrp C) (CategoryTheory.AddGrp D))mapAddGrp is functorial in the left-exact functor.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- CategoryTheory.AddGrpstatement and proof · cited by 91
- CategoryTheory.AddGrp.Xproof · cited by 64
- CategoryTheory.Functor.mapAddGrpproof · cited by 27
- CategoryTheory.leftExactFunctorstatement · cited by 25
- CategoryTheory.LeftExactFunctorstatement and proof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapAddGrpFunctor_map_appstatement and proof · cited by 0
- CategoryTheory.Functor.mapAddGrpFunctor_objstatement and proof · cited by 0