Consider the following premises. For all z, if z were a poet, then z is making tea. For all z, z is a cashier if and only if z is a poet. For all z, if z makes tea, then z is a poet. For all z, z is a cashier or z will make tea. Can we infer the following from them? For all z, z is a poet.
 From the fact that for all z, if z were a poet, then z is making tea, and that for all z, if z makes tea, then z is a poet we can infer that for all z, z is a poet if and only if z will make tea. From the fact that for all z, z is a poet if and only if z will make tea we can infer that for all z, if z makes tea, then z is a poet. From the fact that for all z, z is a cashier if and only if z is a poet we can infer that for all z, if z were a cashier, then z is a poet. Finally, from the fact that for all z, if z were a cashier, then z is a poet, that for all z, if z makes tea, then z is a poet, and that for all z, z is a cashier or z will make tea we can infer that for all z, z is a poet. Therefore, the answer is yes.