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 x_13, if x_13 were an office clerk, then x_13 is cooking. Linda is not cooking. For all x_13, if x_13 climbs a mountain, then x_13 is an office clerk. Linda is cooking if and only if Linda is climbing a mountain.
If Linda cooks, then Linda is climbing a mountain can be inferred via the biconditional elimination rule. If Linda climbs a mountain, then Linda is cooking can be inferred via the biconditional elimination rule. For all x_13, if x_13 climbs a mountain, then x_13 is cooking can be inferred via the universal transitivity rule.