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 Jennifer climbs a mountain, then Thomas is a police officer. If it snows, then Jennifer is climbing a mountain. It is snowing if and only if Thomas is a police officer.
If it snows, then Thomas is a police officer can be inferred via the transitivity rule. If it snows, then Thomas is a police officer can be inferred via the biconditional elimination rule. If Thomas were a police officer, then it is snowing can be inferred via the biconditional elimination rule.