deffunc H₁( Element of REAL ) -> Element of REAL = Re (Sum (($1 * <i>) ExpSeq));
consider f being Function of REAL,REAL such that
A1: for x being Element of REAL holds f . x = H₁(x) from FUNCT_2:sch 4();
take f ; :: thesis: for d being Real holds f . d = Re (Sum ((d * <i>) ExpSeq))
thus for d being Real holds f . d = Re (Sum ((d * <i>) ExpSeq)) by A1; :: thesis: verum