 reserve A, B, C, A1, B1, C1, A2, B2, C2, C3 for Point of TOP-REAL 2,
  lambda, mu, nu, alpha, beta, gamma for Real,
  X, Y, Z for Subset of TOP-REAL 2;

theorem
  Th2: (lambda * A) `1 = lambda * A `1 & (lambda * A) `2 = lambda * A `2
proof
  lambda * A = |[lambda * A `1, lambda * A `2]| by EUCLID:57;
  hence thesis by EUCLID:52;
end;
