Consider the following premises. r_6 -> p. p_6 -> q. q -> r_6. p -> w. Can we infer p_6 -> w from them? If possible, name the inference rules being used at each step.
 From p_6 -> q, q -> r_6 we can infer p_6 -> r_6 via transitivity. From p_6 -> r_6, r_6 -> p we can infer p_6 -> p via transitivity. Finally, from p_6 -> p, p -> w we can infer p_6 -> w via transitivity. Therefore, the answer is yes.