reserve a, b, d1, d2 for Data-Location,
  il, i1, i2 for Nat,
  I for Instruction of SCM,
  s, s1, s2 for State of SCM,
  T for InsType of the InstructionsF of SCM,
  k,k1 for Nat;

theorem
  T = 0 implies JumpParts T = {0}
proof
  assume
A1: T = 0;
  hereby
    let a be object;
    assume a in JumpParts T;
    then consider I such that
A2: a = JumpPart I and
A3: InsCode I = T;
    I = halt SCM by A1,A3,AMI_5:7;
    hence a in {0} by A2,TARSKI:def 1;
  end;
  let a be object;
  assume a in {0};
  then
A4: a = 0 by TARSKI:def 1;
   InsCode halt SCM = 0;
  hence thesis by A1,Th2,A4;
end;
