deffunc H₁( Real) -> Element of REAL = exp_R . (- (s * $1));
consider g being Function of REAL ,REAL such that
A1: for x being Element of REAL holds g . x = H₁(x) from FUNCT_2:sch 4();
take g ; :: thesis: for t being Real holds g . t = exp_R . (- (s * t))
thus for t being Real holds g . t = exp_R . (- (s * t)) by A1; :: thesis: verum