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: It is windy or it is not snowing. It is snowing or William is climbing a mountain. It is windy if and only if William is climbing a mountain.
If it snows, then it is windy can be inferred via the rewriting rule. If it is windy, then William is climbing a mountain can be inferred via the biconditional elimination rule. If William climbs a mountain, then it is windy can be inferred via the biconditional elimination rule.