Consider the following premises. For all x_23, x_23 will write a letter if and only if x_23 is a politician. There is at least one x_23 for which x_23 is an artist if and only if x_23 is fast. For all x_23, x_23 will write a letter if and only if x_23 is an artist. For all x_23, if x_23 were excited, then x_23 is a politician. For all x_23, x_23 is not fast. Can we infer the following from them? For all x_23, x_23 is excited.
 From the fact that there is at least one x_23 for which x_23 is an artist if and only if x_23 is fast, and that for all x_23, x_23 is not fast we can infer that there is at least one x_23 for which x_23 is not an artist. From the fact that for all x_23, x_23 will write a letter if and only if x_23 is an artist, and that there is at least one x_23 for which x_23 is not an artist we can infer that there is at least one x_23 for which x_23 will not write a letter. From the fact that for all x_23, x_23 will write a letter if and only if x_23 is a politician, and that there is at least one x_23 for which x_23 will not write a letter we can infer that there is at least one x_23 for which x_23 is not a politician. Finally, from the fact that for all x_23, if x_23 were excited, then x_23 is a politician, and that there is at least one x_23 for which x_23 is not a politician we can infer that there is at least one x_23 for which x_23 is not excited, which contradicts that For all x_23, x_23 is excited. Therefore, the answer is no.