∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasKernels C] [inst_3 : CategoryTheory.Limits.HasCokernels C]
  (X : CategoryTheory.ShortComplex C),
  CategoryTheory.ShortComplex.cyclesMap (CategoryTheory.CategoryStruct.id X) = CategoryTheory.CategoryStruct.id X.cycles