Consider the following premises. p -> q_1. q_1 -> q. p and t. Can we infer q from them? If possible, name the inference rules being used at each step.
 From p and t we can infer p via simplification. From p -> q_1, p we can infer q_1 via modus ponens. Finally, from q_1 -> q, q_1 we can infer q via modus ponens. Therefore, the answer is yes.