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: There is at least one x_8 for which x_8 is a carpenter if and only if x_8 will play squash. For all x_8, x_8 will go running if and only if x_8 is a carpenter.
For all x_8, if x_8 goes running, then x_8 is a carpenter can be inferred via the universal biconditional elimination rule. There is at least one x_8 for which if x_8 were a carpenter, then x_8 is playing squash can be inferred via the existential biconditional elimination rule. For all x_8, if x_8 were a carpenter, then x_8 is running can be inferred via the universal biconditional elimination rule. There is at least one x_8 for which if x_8 plays squash, then x_8 is a carpenter can be inferred via the existential biconditional elimination rule.