Consider the following premises. For all x_8, x_8 will listen to a song if and only if x_8 is a mechanic. For all x_8, x_8 will listen to a song or x_8 is a lawyer. For all x_8, x_8 is not a mechanic. For all x_8, if x_8 were fast, then x_8 is not a lawyer. Can we infer the following from them? For all x_8, x_8 is not fast.
 From the fact that for all x_8, x_8 will listen to a song if and only if x_8 is a mechanic, and that for all x_8, x_8 is not a mechanic we can infer that for all x_8, x_8 will not listen to a song. From the fact that for all x_8, x_8 will listen to a song or x_8 is a lawyer, and that for all x_8, x_8 will not listen to a song we can infer that for all x_8, x_8 is a lawyer. Finally, from the fact that for all x_8, if x_8 were fast, then x_8 is not a lawyer, and that for all x_8, x_8 is a lawyer we can infer that for all x_8, x_8 is not fast. Therefore, the answer is yes.