Theorems · Definition · category theory

CategoryTheory.Functor.isoShift

{C : Type u_1} →
  {A : Type u_3} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_3, u_3} A] →
        (F : CategoryTheory.Functor C A) →
          {M : Type u_4} →
            [inst_2 : AddMonoid M] →
              [inst_3 : CategoryTheory.HasShift C M] →
                [inst_4 : F.ShiftSequence M] → (n : M) → (CategoryTheory.shiftFunctor C n).comp F ≅ F.shift n

The canonical isomorphism shiftFunctor C n ⋙ F ≅ F.shift n.

Defined in

Mathlib.CategoryTheory.Shift.ShiftSequence

Cited by

6 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.Functor.ShiftSequence