Theorems · Definition · category theory

CategoryTheory.SingleFunctors.Hom.hom

{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        {A : Type u_5} →
          [inst_2 : AddMonoid A] →
            [inst_3 : CategoryTheory.HasShift D A] →
              {F G : CategoryTheory.SingleFunctors C D A} → F.Hom G → (a : A) → F.functor a ⟶ G.functor a

a family of natural transformations F.functor a ⟶ G.functor a

Defined in

Mathlib.CategoryTheory.Shift.SingleFunctors

Cited by

38 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShift