theorem
  for ins being Instruction of SCMPDS st InsCode ins = 7 holds ex a,k1,
  k2 st ins = (a,k1) := k2
proof
  let I be Instruction of SCMPDS such that
A1: InsCode I = 7;
  I in {[0,{},{}]} or
  I in S1 or I in S2 or I in S3 or I in S4 or I in S5 by Lm1;
  then consider
  I1 being Element of Segm 15, d1 being Element of SCM-Data-Loc, k1,
  k2 being Element of INT such that
A2: I=[I1,{},<*d1,k1,k2*>] and
 I1 in {4,5,6,7,8} by A1,Lm8;
  consider d1,k1,k2 such that
A3: I=[7,{},<*d1,k1,k2*>] by A1,A2;
  reconsider a=d1 as Int_position by AMI_2:def 16;
  take a,k1,k2;
  thus thesis by A3;
end;
