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: John is climbing a mountain if and only if Michael is an electrician. For all x, x will cook. Michael is not an electrician.
If John climbs a mountain, then Michael is an electrician can be inferred via the biconditional elimination rule. If Michael were an electrician, then John is climbing a mountain can be inferred via the biconditional elimination rule. John is not climbing a mountain can be inferred via the biconditional elimination rule.