Theorems · Definition · category theory

CategoryTheory.shiftFunctorZero

(C : Type u) →
  (A : Type u_1) →
    [inst : CategoryTheory.Category.{v, u} C] →
      [inst_1 : AddMonoid A] →
        [inst_2 : CategoryTheory.HasShift C A] → CategoryTheory.shiftFunctor C 0 ≅ CategoryTheory.Functor.id C

Shifting by zero is the identity functor.

Defined in

Mathlib.CategoryTheory.Shift.Basic

Cited by

82 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryAddMonoidCategoryTheory.HasShift