Consider the following premises. For all x, x is not a carpenter. For all x, x is a carpenter if and only if x will drive a car. For all x, x will drive a car if and only if x is a poet. There is at least one x for which x is a poet or x is an office clerk. Can we infer the following from them? If we can, name the inference rule being used: For all x, x is not a carpenter.
That is one of the premises. Therefore, the answer is yes.