reserve n for Nat;
reserve K for Field;
reserve a,b,c,d,e,f,g,h,i,a1,b1,c1,d1,e1,f1,g1,h1,i1 for Element of K;
reserve M,N for Matrix of 3,K;
reserve p for FinSequence of REAL;

theorem Th03:
  ex a,b,c,d,e,f,g,h,i st
  M = <* <* a,b,c *>,
         <* d,e,f *>,
         <* g,h,i *> *>
  proof
    reconsider a = M*(1,1), b = M*(1,2), c = M*(1,3),
               d = M*(2,1), e = M*(2,2), f = M*(2,3),
               g = M*(3,1), h = M*(3,2), i = M*(3,3) as Element of K;
    take a,b,c,d,e,f,g,h,i;
    thus thesis by MATRIXR2:37;
  end;
