reserve w, w1, w2 for Element of ExtREAL;
reserve c, c1, c2 for Complex;
reserve A, B, C, D for complex-membered set;
reserve F, G, H, I for ext-real-membered set;
reserve a, b, s, t, z for Complex;
reserve f, g, h, i, j for ExtReal;
reserve r for Real;
reserve e for set;

theorem
  F -- (G \/ H) = (F--G) \/ (F--H)
proof
  thus F -- (G \/ H) = F++(--G\/--H) by Th5
    .= (F--G) \/ (F--H) by Th41;
end;
