What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_14, x_14 will play tennis if and only if x_14 is a poet. For all x_14, x_14 will not drink water. For all x_14, if x_14 were a poet, then x_14 is a nurse. For all x_14, if x_14 were a nurse, then x_14 is drinking water. It is snowing if and only if Thomas is playing tennis.
If it snows, then Thomas is playing tennis can be inferred via the biconditional elimination rule. If Thomas plays tennis, then it is snowing can be inferred via the biconditional elimination rule. For all x_14, x_14 is not a nurse can be inferred via the universal modus tollens rule. For all x_14, if x_14 were a poet, then x_14 is drinking water can be inferred via the universal transitivity rule. For all x_14, if x_14 plays tennis, then x_14 is a poet can be inferred via the universal biconditional elimination rule. For all x_14, if x_14 were a poet, then x_14 is playing tennis can be inferred via the universal biconditional elimination rule.