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: u_1 <-> q_10. ~u_1. S_7(e) <-> q_10. forall x_7: P(x_7) <-> S_7(x_7).
u_1 -> q_10 can be inferred via the biconditional elimination rule. S_7(e) -> q_10 can be inferred via the biconditional elimination rule. q_10 -> u_1 can be inferred via the biconditional elimination rule. q_10 -> S_7(e) can be inferred via the biconditional elimination rule. ~q_10 can be inferred via the biconditional elimination rule. forall x_7: P(x_7) -> S_7(x_7) can be inferred via the universal biconditional elimination rule. forall x_7: S_7(x_7) -> P(x_7) can be inferred via the universal biconditional elimination rule.