reserve x,y,a,b,c,p,q for Real;
reserve m,n for Element of NAT;

theorem
  a <> 0 & Polynom(a,0,0,x) = 0 implies x=0
proof
  assume that
A1: a<>0 and
A2: Polynom(a,0,0,x) = 0;
  a*x^2+0*x+0=0 by A2,POLYEQ_1:def 2;
  then x^2=0 by A1;
  hence thesis;
end;
