reserve a,b,c,d,e,f for Real,
        k,m for Nat,
        D for non empty set,
        V for non trivial RealLinearSpace,
        u,v,w for Element of V,
        p,q,r for Element of ProjectiveSpace(V);
reserve o,p,q,r,s,t for Point of TOP-REAL 3,
        M for Matrix of 3,F_Real;

theorem Th54:
  Col(<*<e3>*>,1) = <* 0 *> &
  Col(<*<e3>*>,2) = <* 0 *> &
  Col(<*<e3>*>,3) = <* 1 *>
  proof
A1: len <e3> = 3 by CARD_1:def 7;
    <e3>.1 = 0 & <e3>.2 = 0 & <e3>.3 = 1 by EUCLID_8:def 3;
    hence thesis by A1,Th51;
  end;
