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: Linda is climbing a mountain if and only if it is sunny. If it rains, then it is sunny. If Linda climbs a mountain, then it is raining.
If Linda climbs a mountain, then it is sunny can be inferred via the transitivity rule. If Linda climbs a mountain, then it is sunny can be inferred via the biconditional elimination rule. If it is sunny, then Linda is climbing a mountain can be inferred via the biconditional elimination rule.