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: If Joseph climbs a mountain, then Joseph is an electrician. For all y, y will climb a mountain if and only if y is an electrician.
For all y, if y climbs a mountain, then y is an electrician can be inferred via the universal biconditional elimination rule. For all y, if y were an electrician, then y is climbing a mountain can be inferred via the universal biconditional elimination rule.