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_7, x_7 will go running if and only if x_7 will climb a mountain. For all x_7, x_7 is a musician if and only if x_7 will climb a mountain.
For all x_7, if x_7 goes running, then x_7 is climbing a mountain can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 were a musician, then x_7 is climbing a mountain can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 climbs a mountain, then x_7 is running can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 climbs a mountain, then x_7 is a musician can be inferred via the universal biconditional elimination rule.