reserve i,j,k,m,n for Nat;
reserve R for non empty doubleLoopStr;
reserve x,y for Scalar of R;
reserve f,g,h for FinSequence of R;

theorem
  x is being_an_amalgam_of_squares & y is
  being_a_sum_of_amalgams_of_squares implies x+y is generated_from_squares
proof
  assume
  x is being_an_amalgam_of_squares & y is being_a_sum_of_amalgams_of_squares;
  then x is generated_from_squares & y is generated_from_squares by Lm40,Th1;
  hence thesis by Lm64;
end;
