reserve S for with_non_trivial_Instructions COM-Struct;
reserve i,j,k for No-StopCode Instruction of S,
        I,J,K for MacroInstruction of S;
reserve i1,i2,i3,i4,i5,i6 for No-StopCode Instruction of S;
reserve I,J for non empty NAT-defined finite Function;
reserve I,J for MacroInstruction of S;

theorem
 for k being Nat st k < LastLoc I
  holds (I ';' J).k = I.k
proof let k be Nat;
 assume k < LastLoc I;
  then
A1: k in dom CutLastLoc I by Th26;
  dom CutLastLoc I misses dom Reloc(J,card I -' 1) by COMPOS_1:18;
  then not k in dom Reloc(J,card I -' 1) by A1,XBOOLE_0:3;
 hence (I ';' J).k = (CutLastLoc I).k by FUNCT_4:11
      .= I.k by A1,GRFUNC_1:2;
end;
