for C being ConstructorSignature holds
( the_arity_of (non_op C) = <*(an_Adj C)*> & the_result_sort_of (non_op C) = an_Adj C & the_arity_of (ast C) = <*(an_Adj C),(a_Type C)*> & the_result_sort_of (ast C) = a_Type C ) by Def9;