reserve f,f1,f2,g for PartFunc of REAL,REAL;
reserve A for non empty closed_interval Subset of REAL;
reserve p,r,x,x0 for Real;
reserve n for Element of NAT;
reserve Z for open Subset of REAL;

theorem Th32:
  exp_R`|REAL = exp_R
proof
  for x st x in REAL holds diff(exp_R,x)=exp_R.x by SIN_COS:66;
  hence thesis by FDIFF_1:def 7,SIN_COS:47,66;
end;
