∀ {R : Type u_1} {C : Type u_2} [inst : Semiring R] [inst_1 : CategoryTheory.Category.{v_1, u_2} C]
  [inst_2 : CategoryTheory.Preadditive C] [inst_3 : CategoryTheory.Linear R C]
  [inst_4 : CategoryTheory.Limits.HasKernels C] [inst_5 : CategoryTheory.Limits.HasCokernels C],
  CategoryTheory.Functor.Linear R (CategoryTheory.ShortComplex.leftHomologyFunctor C)