Consider the following premises. For all x, x will not play tennis or x is fast. For all x, x is not an office clerk or x is an astronaut. There is at least one x for which x is not fast. For all x, x will play tennis 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 an office clerk or x is an astronaut.
That is one of the premises. Therefore, the answer is yes.