∀ {ι : Type u_4} {ι' : Type u_3} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') [inst : e.IsTruncGE]
  (C : Type u_2) [inst_1 : CategoryTheory.Category.{u_1, u_2} C] [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_3 : CategoryTheory.CategoryWithHomology C] (X : HomologicalComplex C c'),
  HomologicalComplex.truncGE'Map (CategoryTheory.CategoryStruct.id X) e =
    CategoryTheory.CategoryStruct.id (X.truncGE' e)