reserve m for Nat;
reserve P for Instruction-Sequence of SCM+FSA;

theorem
 for I,J being NAT-defined (the InstructionsF of SCM+FSA)-valued Function
  st I c= J
 for a be Int-Location st J does not destroy a
  holds I does not destroy a
proof let I,J be NAT-defined (the InstructionsF of SCM+FSA)-valued Function
  such that
A1: I c= J;
 let a be Int-Location such that
A2: J does not destroy a;
 let i be Instruction of SCM+FSA such that
A3: i in rng I;
  rng I c= rng J by A1,RELAT_1:11;
  then i in rng J by A3;
 hence i does not destroy a by A2,SCMFSA7B:def 4;
end;
