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_square implies x+y is
  generated_from_squares
proof
  assume x is being_an_amalgam_of_squares & y is being_a_square;
  then x is generated_from_squares & y is generated_from_squares by Lm31,Lm40;
  hence thesis by Lm64;
end;
