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, x will make tea if and only if x will cook. For all x, x will cook if and only if x will make tea.
For all x, if x makes tea, then x is cooking can be inferred via the universal biconditional elimination rule. For all x, if x cooks, then x is making tea can be inferred via the universal biconditional elimination rule. For all x, if x cooks, then x is making tea can be inferred via the universal biconditional elimination rule. For all x, if x makes tea, then x is cooking can be inferred via the universal biconditional elimination rule.