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_an_amalgam_of_squares
  implies x*y is being_an_amalgam_of_squares by Lm86;
