reserve x,y,z for set;
reserve I,J,K for Element of Segm 9,
  i,a,a1,a2 for Nat,
  b,b1,b2,c,c1 for Element of SCM-Data-Loc;

theorem Th1:
  [0,{},{}] in SCM-Instr
proof
  [0,{},{}] in { [SCM-Halt,{},{}] } by TARSKI:def 1;
  then [0,{},{}] in { [SCM-Halt,{},{}] }
   \/ { [J,<*a*>,{}] : J = 6 } by XBOOLE_0:def 3;
  then
  [0,{},{}] in { [SCM-Halt,{},{}] } \/ { [J,<*a*>,{}] : J = 6 }
   \/ { [K,<*a1*>,<*b1*>] : K in { 7,8 } } by XBOOLE_0:def 3;
  hence thesis by XBOOLE_0:def 3;
end;
