Consider the following premises. w <-> q_10. q_10 -> w. u_4 <-> w. ~q_10. Can we infer ~u_4 from them?
 From w <-> q_10 we can infer w -> q_10. From w -> q_10, q_10 -> w we can infer w <-> q_10. From w <-> q_10, ~q_10 we can infer ~w. Finally, from u_4 <-> w, ~w we can infer ~u_4. Therefore, the answer is yes.