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