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_10, x_10 is a bartender or x_10 is not a poet. For all x_10, x_10 will climb a mountain if and only if x_10 is a bartender. For all x_10, if x_10 climbs a mountain, then x_10 is a poet.
For all x_10, if x_10 were a poet, then x_10 is a bartender can be inferred via the universal rewriting rule. For all x_10, if x_10 climbs a mountain, then x_10 is a bartender can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 were a bartender, then x_10 is climbing a mountain can be inferred via the universal biconditional elimination rule.