reserve r, s, t, g for Real,

          r3, r1, r2, q3, p3 for Real;
reserve T for TopStruct,
  f for RealMap of T;
reserve p for Point of TOP-REAL 2,
  P for Subset of TOP-REAL 2,
  Z for non empty Subset of TOP-REAL 2,
  X for non empty compact Subset of TOP-REAL 2;

theorem
  proj2. |[r,s]| = s & proj1. |[r,s]| = r
proof
  thus proj2. |[r,s]| = |[r,s]|`2 by Def6
    .= s by EUCLID:52;
  thus proj1. |[r,s]| = |[r,s]|`1 by Def5
    .= r by EUCLID:52;
end;
