Theorems · Definition · category theory

CategoryTheory.ShortComplex.functorEquivalence

(J : Type u_1) →
  (C : Type u_2) →
    [inst : CategoryTheory.Category.{v_1, u_1} J] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} C] →
        [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
          CategoryTheory.ShortComplex (CategoryTheory.Functor J C) ≌
            CategoryTheory.Functor J (CategoryTheory.ShortComplex C)

The obvious equivalence ShortComplex (J ⥤ C) ≌ J ⥤ ShortComplex C.

Defined in

Mathlib.Algebra.Homology.ShortComplex.FunctorEquivalence

Cited by

4 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms