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_5, x_5 will not climb a mountain. For all x_5, x_5 is fast if and only if x_5 will cook. For all x_5, if x_5 cooks, then x_5 is climbing a mountain.
For all x_5, x_5 will not cook can be inferred via the universal modus tollens rule. For all x_5, if x_5 were fast, then x_5 is cooking can be inferred via the universal biconditional elimination rule. For all x_5, if x_5 cooks, then x_5 is fast can be inferred via the universal biconditional elimination rule.