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: Robert is cooking if and only if it is cloudy. Linda is running if and only if Robert is cooking. Linda is not running. If William climbs a mountain, then it is cloudy.
If Robert cooks, then it is cloudy can be inferred via the biconditional elimination rule. If Linda goes running, then Robert is cooking can be inferred via the biconditional elimination rule. If it is cloudy, then Robert is cooking can be inferred via the biconditional elimination rule. If Robert cooks, then Linda is running can be inferred via the biconditional elimination rule. Robert is not cooking can be inferred via the biconditional elimination rule.