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