∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') [inst : e.IsTruncLE]
  (C : Type u_4) [inst_1 : CategoryTheory.Category.{v_2, u_4} C] [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_3 : CategoryTheory.CategoryWithHomology C] (K : HomologicalComplex C c'),
  (e.truncLE'Functor C).obj K = K.truncLE' e