Consider the following premises. forall x_1: S(x_1) <-> W(x_1). Can we infer forall x_1: S(x_1) -> W(x_1) from them? If possible, name the inference rules being used at each step.
We can infer forall x_1: S(x_1) -> W(x_1) via the universal biconditional elimination rule. Therefore, the answer is yes.