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: S(b) <-> p. ~p. forall y: S(y) <-> P(y).
S(b) -> p can be inferred via the biconditional elimination rule. p -> S(b) can be inferred via the biconditional elimination rule. ~S(b) can be inferred via the biconditional elimination rule. forall y: S(y) -> P(y) can be inferred via the universal biconditional elimination rule. forall y: P(y) -> S(y) can be inferred via the universal biconditional elimination rule.