Consider the following premises. For all x_4, x_4 will not make tea. For all x_4, x_4 will play squash if and only if x_4 will make tea. For all x_4, if x_4 makes tea, then x_4 is playing squash. Can we infer the following from them? For all x_4, x_4 will not play squash.
 From the fact that for all x_4, x_4 will play squash if and only if x_4 will make tea we can infer that for all x_4, if x_4 plays squash, then x_4 is making tea. From the fact that for all x_4, if x_4 makes tea, then x_4 is playing squash, and that for all x_4, if x_4 plays squash, then x_4 is making tea we can infer that for all x_4, x_4 will make tea if and only if x_4 will play squash. Finally, from the fact that for all x_4, x_4 will make tea if and only if x_4 will play squash, and that for all x_4, x_4 will not make tea we can infer that for all x_4, x_4 will not play squash. Therefore, the answer is yes.