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 = 4 implies JumpParts T = {{}}
proof
  assume
A1: T = 4;
  hereby
    let x be object;
    assume x in JumpParts T;
     then consider I being Instruction of SCM such that
A2:   x = JumpPart I and
A3:   InsCode I = T;
     consider a,b such that
A4:   I = MultBy(a,b) by A1,A3,AMI_5:11;
     x = {} by A2,A4;
    hence x in {{}} by TARSKI:def 1;
  end;
  set a = the Data-Location;
  let x be object;
  assume x in {{}};
   then x = {} by TARSKI:def 1;
   then
A5:  x = JumpPart MultBy(a,a);
    InsCode MultBy(a,a) = 4;
  hence thesis by A5,A1;
end;
