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: Patricia is not climbing a mountain. Patricia is a soldier or it is overcast. For all x_8, if x_8 climbs a mountain, then x_8 is a soldier. For all x_8, if x_8 were a soldier, then x_8 is climbing a mountain.
For all x_8, x_8 will climb a mountain if and only if x_8 is a soldier can be inferred via the universal biconditional introduction rule. For all x_8, x_8 is a soldier if and only if x_8 will climb a mountain can be inferred via the universal biconditional introduction rule.