reserve A for non degenerated comRing;
reserve R for non degenerated domRing;
reserve n for non empty Ordinal;
reserve o,o1,o2 for object;
reserve X,Y for Subset of Funcs(n,[#]R);
reserve S,T for Subset of Polynom-Ring(n,R);
reserve F,G for FinSequence of the carrier of Polynom-Ring(n,R);
reserve x for Function of n,R;

theorem Th36:
    for X be Algebraic_Set of n,R holds X = Zero_(Ideal_X)
    proof
      let X be Algebraic_Set of n,R;
      consider I be Ideal of Polynom-Ring(n,R) such that
A1:   X = Zero_(I) by Def7;
      thus thesis by A1,Th34;
    end;
