reserve x,A for set,
  i,j,k,m,n, l, l1, l2 for Nat;
reserve D for non empty set,
  z for Nat;
reserve y for set;

theorem Th3:
  for S being homogeneous J/A-independent standard-ins non empty set,
  I being Element of S st I is ins-loc-free holds IncAddr(I, k) = I
proof
  let S be homogeneous J/A-independent standard-ins non empty set,
  I be Element of S such that
A1: JumpPart I is empty;
  set f = IncAddr(I, k);
A2: InsCode f = InsCode I by Def8;
A3: AddressPart f = AddressPart I by Def8;
A4: JumpPart f = k + JumpPart I by Def8;
   JumpPart f = JumpPart I by A1,A4;
  hence thesis by A2,A3,Th1;
end;
