reserve x,y,z for set;
reserve I,J,K for Element of Segm 9,
  i,a,a1,a2 for Nat,
  b,b1,b2,c,c1 for Element of SCM-Data-Loc;

theorem
  x in SCM-Data-Loc implies ex k being Nat st x = [1,k]
proof
  assume x in SCM-Data-Loc;
  then consider y,z being object such that
A1: y in {1} and
A2: z in NAT and
A3: x = [y,z] by ZFMISC_1:84;
  reconsider k = z as Nat by A2;
  take k;
  thus thesis by A1,A3,TARSKI:def 1;
end;
