Consider the following premises. There is at least one x_11 for which if x_11 were a nurse, then x_11 is playing squash. For all x_11, x_11 will not work. For all x_11, x_11 will work or x_11 will play squash. For all x_11, if x_11 plays squash, then x_11 is a nurse. Can we infer the following from them? There is at least one x_11 for which x_11 is a nurse.
 From the fact that for all x_11, if x_11 plays squash, then x_11 is a nurse, and that there is at least one x_11 for which if x_11 were a nurse, then x_11 is playing squash we can infer that there is at least one x_11 for which x_11 will play squash if and only if x_11 is a nurse. From the fact that there is at least one x_11 for which x_11 will play squash if and only if x_11 is a nurse we can infer that there is at least one x_11 for which if x_11 plays squash, then x_11 is a nurse. From the fact that for all x_11, x_11 will work or x_11 will play squash, and that for all x_11, x_11 will not work we can infer that for all x_11, x_11 will play squash. Finally, from the fact that there is at least one x_11 for which if x_11 plays squash, then x_11 is a nurse, and that for all x_11, x_11 will play squash we can infer that there is at least one x_11 for which x_11 is a nurse. Therefore, the answer is yes.