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: Karen is cooking. For all x_7, x_7 is a janitor if and only if x_7 will cook.
There is at least one x for which x will cook can be inferred via the existential generalization rule. For all x_7, if x_7 were a janitor, then x_7 is cooking can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 cooks, then x_7 is a janitor can be inferred via the universal biconditional elimination rule.