Consider the following premises. For all x_7, x_7 will sleep if and only if x_7 is curious. There is at least one x_7 for which if x_7 were fast, then x_7 is not curious. For all x_7, x_7 will sleep. Can we infer the following from them? There is at least one x_7 for which if x_7 were fast, then x_7 is not curious.
That is one of the premises. Therefore, the answer is yes.