deffunc H₁( Element of L) -> Element of the carrier of L = x * (power ($1,n));
consider f being Function of the carrier of L, the carrier of L such that
A1: for y being Element of L holds f . y = H₁(y) from FUNCT_2:sch 4();
reconsider f = f as Function of L,L ;
take f ; :: thesis: for y being Element of L holds f . y = x * (power (y,n))
thus for y being Element of L holds f . y = x * (power (y,n)) by A1; :: thesis: verum