reserve
  i, j, k for Element of NAT,
  I,I2,I3,I4 for Element of Segm 15,
  i1 for Element of NAT,
  d1,d2,d3,d4,d5 for Element of SCM-Data-Loc,
  k1,k2 for Integer;

theorem
  for x being Element of SCMPDS-Instr, d1 being Element of SCM-Data-Loc,
  k1,k2 being Integer st x = [I,{}, <*d1,k1,k2*>] holds x P31address = d1 & x
  P32const = k1 & x P33const = k2
proof
  let x be Element of SCMPDS-Instr, d1 be Element of SCM-Data-Loc, k1,k2 be
  Integer;
  k1 in INT by INT_1:def 2;
  then
A1: d1 is Element of SCM-Data-Loc \/ INT & k1 is Element of SCM-Data-Loc \/
  INT by XBOOLE_0:def 3;
  k2 in INT by INT_1:def 2;
  then
A2: k2 is Element of SCM-Data-Loc \/ INT by XBOOLE_0:def 3;
  assume
A3: x = [I,{},<*d1,k1,k2*>];
  then consider f being FinSequence of SCM-Data-Loc \/ INT such that
A4: f = x`3_3 and
A5: x P31address = f/.1 by Def6;
  f = <*d1,k1,k2*> by A3,A4;
  hence x P31address = d1 by A1,A2,A5,FINSEQ_4:18;
  consider f being FinSequence of SCM-Data-Loc \/ INT such that
A6: f = x`3_3 and
A7: x P32const = f/.2 by A3,Def7;
  f = <*d1,k1,k2*> by A3,A6;
  hence x P32const = k1 by A1,A2,A7,FINSEQ_4:18;
  consider f being FinSequence of SCM-Data-Loc \/ INT such that
A8: f = x`3_3 and
A9: x P33const = f/.3 by A3,Def8;
  f = <*d1,k1,k2*> by A3,A8;
  hence thesis by A1,A2,A9,FINSEQ_4:18;
end;
