Theorems · Definition · category theory

CategoryTheory.shiftFunctor

(C : Type u) →
  {A : Type u_1} →
    [inst : CategoryTheory.Category.{v, u} C] →
      [inst_1 : AddMonoid A] → [CategoryTheory.HasShift C A] → A → CategoryTheory.Functor C C

The shift autoequivalence, moving objects and morphisms 'up'.

Defined in

Mathlib.CategoryTheory.Shift.Basic

Cited by

1,553 results in Mathlib

Foundations

Depth 22 from the axioms, rests on 119 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryAddMonoidCategoryTheory.HasShift