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) c= (F///G) /\ (F///H)
proof
  (G /\ H)"" c= (G"")/\(H"") by Th24;
  then
A1: F**((G /\ H)"") c= F**((G"")/\(H"")) by Th81;
  F**((G"")/\(H"")) c= (F**(G""))/\(F**(H"")) by Th83;
  hence thesis by A1;
end;
