Consider the following premises. For all x_8, x_8 is not fast or x_8 is a nurse. There is at least one x_8 for which if x_8 climbs a mountain, then x_8 is a nurse. For all x_8, if x_8 were an office clerk, then x_8 is climbing a mountain. For all x_8, x_8 is fast or x_8 is an office clerk. For all x_8, if x_8 were a nurse, then x_8 is climbing a mountain. Can we infer the following from them? For all x_8, x_8 is not fast or x_8 is a nurse.
That is one of the premises. Therefore, the answer is yes.