Consider the following premises. For all x_6, if x_6 were happy, then x_6 is a mechanic. For all x_6, x_6 is happy or x_6 is not a lawyer. For all x_6, if x_6 were a soldier, then x_6 is happy. For all x_6, x_6 is a lawyer or x_6 is a soldier. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, x_6 is a lawyer or x_6 is a soldier.
That is one of the premises. Therefore, the answer is yes.