Theorems · Definition · category theory

CategoryTheory.SingleFunctors.functor

{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] →
              CategoryTheory.SingleFunctors C D A → A → CategoryTheory.Functor C D

a family of functors C ⥤ D indexed by the elements of the additive monoid A

Defined in

Mathlib.CategoryTheory.Shift.SingleFunctors

Cited by

64 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShift