Theorems · Definition · category theory

CategoryTheory.SingleFunctors.postcomp

{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] →
                    CategoryTheory.SingleFunctors C D A →
                      (G : CategoryTheory.Functor D E) → [G.CommShift A] → CategoryTheory.SingleFunctors C E A

Given F : SingleFunctors C D A, and a functor G : D ⥤ E which commutes with the shift by A, this is the "composition" of F and G in SingleFunctors C E A.

Defined in

Mathlib.CategoryTheory.Shift.SingleFunctors

Cited by

22 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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