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. Mary is not running. If it doesn't rain, then James is a police officer. It is raining if and only if Mary is running.
If it rains, then Mary is running can be inferred via the biconditional elimination rule. If Mary goes running, then it is raining can be inferred via the biconditional elimination rule. It is not raining can be inferred via the biconditional elimination rule.