Consider the following premises. For all x_4, x_4 will listen to a song if and only if x_4 will go running. For all x_4, if x_4 were an electrician, then x_4 is running. Can we infer the following from them? There is at least one x_4 for which the fact that x_4 were an electrician does not imply that x_4 is listening to a song.
 From the fact that for all x_4, x_4 will listen to a song if and only if x_4 will go running we can infer that for all x_4, if x_4 goes running, then x_4 is listening to a song. Finally, from the fact that for all x_4, if x_4 were an electrician, then x_4 is running, and that for all x_4, if x_4 goes running, then x_4 is listening to a song we can infer that for all x_4, if x_4 were an electrician, then x_4 is listening to a song, which contradicts that There is at least one x_4 for which the fact that x_4 were an electrician does not imply that x_4 is listening to a song. Therefore, the answer is no.