Woman leaves with her shopping bag in hand.
Woman has a shopping bag in her hand.
That the woman leaves with her shopping bag presupposes possession, which is the meaning of "has a shopping bag."
exists e1 x1 x2 x3 x4.(ne_nam_woman(x1) & with(e1,x3) & in(x3,x2) & n_hand(x2) & n_bag(x3) & of(x3,x4) & n_shopping(x4) & of(x3,x2) & n_female(x2) & Actor(e1,x1) & v_leave(e1))
exists e1 x1 x2 x3 x4.(ne_nam_woman(x1) & Theme(e1,x2) & Actor(e1,x1) & v_have(e1) & in(x2,x4) & n_hand(x4) & of(x4,x2) & n_female(x2) & n_bag(x2) & of(x2,x3) & n_shopping(x3))