reserve n for Nat;

theorem cc3:
for F being algebraic-closed Field,
    p being non constant monic Polynomial of F holds p is Ppoly of F,BRoots p
proof
let R be algebraic-closed Field,
    p be non constant monic Polynomial of R;
consider a being Element of R, q being Ppoly of R,(BRoots p) such that
A: p = a * q by cc4;
1.R = LC p by RATFUNC1:def 7
   .= a * LC q by A,RATFUNC1:18 .= a * 1.R by cc2 .= a;
hence thesis by A;
end;
