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: It is cloudy or James is cooking. For all z, z will cook if and only if z will climb a mountain. If it is cloudy, then James is climbing a mountain.
If James were a server, then it is cloudy can be inferred via the rewriting rule. For all z, if z cooks, then z is climbing a mountain can be inferred via the universal biconditional elimination rule. For all z, if z climbs a mountain, then z is cooking can be inferred via the universal biconditional elimination rule.