Theorems · Definition · category theory

CategoryTheory.SingleFunctors.postcompFunctor

(C : Type u_1) →
  {D : Type u_2} →
    {E : Type u_3} →
      [inst : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
          [inst_2 : CategoryTheory.Category.{v_3, u_3} E] →
            (A : Type u_5) →
              [inst_3 : AddMonoid A] →
                [inst_4 : CategoryTheory.HasShift D A] →
                  [inst_5 : CategoryTheory.HasShift E A] →
                    (G : CategoryTheory.Functor D E) →
                      [G.CommShift A] →
                        CategoryTheory.Functor (CategoryTheory.SingleFunctors C D A)
                          (CategoryTheory.SingleFunctors C E A)

The functor SingleFunctors C D A ⥤ SingleFunctors C E A given by the postcomposition by a functor G : D ⥤ E which commutes with the shift.

Defined in

Mathlib.CategoryTheory.Shift.SingleFunctors

Cited by

3 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.HasShiftCategoryTheory.Functor.CommShift