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_14 for which if x_14 plays squash, then x_14 is reading a book. For all x_14, x_14 is a carpenter if and only if x_14 will read a book. For all x_14, if x_14 plays squash, then x_14 is a carpenter. For all x_14, if x_14 reads a book, then x_14 is playing squash.
For all x_14, if x_14 reads a book, then x_14 is a carpenter can be inferred via the universal transitivity rule. There is at least one x_14 for which x_14 will play squash if and only if x_14 will read a book can be inferred via the existential biconditional introduction rule. There is at least one x_14 for which x_14 will read a book if and only if x_14 will play squash can be inferred via the existential biconditional introduction rule. For all x_14, if x_14 were a carpenter, then x_14 is reading a book can be inferred via the universal biconditional elimination rule. For all x_14, if x_14 reads a book, then x_14 is a carpenter can be inferred via the universal biconditional elimination rule.