The people watch the batter.
the fans watch the baseball player up at bat.
People are fans.  Player up at bat is a restatement of batter.
exists e1 x1 x2.(n_batter(x2) & n_people(x1) & Theme(e1,x2) & Actor(e1,x1) & v_watch(e1))
exists e1 x1 x2 x3 x4.(n_player(x2) & of(x2,x3) & n_baseball(x3) & n_fan(x1) & Theme(e1,x2) & Actor(e1,x1) & v_watch(e1) & n_up(x2) & at(x2,x4) & n_bat(x4))