Given a category C and directed partially ordered set J, certain proJ-C on inverse systems in is constructed such that the ordinary pro-category pro-C most special case of singleton J ? {1}. Further, known pro*-category pro*-C becomes proN-C. Moreover, given pro-reflective pair (C, D), J-shape ShJ(C, D) corresponding functor SJ are which, mentioned cases, become well ones. Among several importa...