reserve a,b,c,x,y,z for object,X,Y,Z for set,
  n for Nat,
  i,j for Integer,
  r,r1,r2,r3,s for Real,
  c1,c2 for Complex,
  p for Point of TOP-REAL n;

theorem Th44:
  for s being Real holds (Rotate(s)).(0.TOP-REAL 2) = 0.TOP-REAL 2
  proof
    let s be Real;
    thus (Rotate(s)).(0.T2) = cpx2euc(Rotate(euc2cpx(0.T2),s))
    by JORDAN24:def 3
    .= 0.T2 by COMPLEX2:52,EUCLID_3:16,17;
  end;
