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 y_1, if y_1 were a mechanic, then y_1 is reading a book. For all y_1, if y_1 were curious, then y_1 is running. There is at least one y_1 for which y_1 is curious if and only if y_1 will read a book. For all y_1, y_1 is a mechanic or y_1 will not play a game.
For all y_1, if y_1 plays a game, then y_1 is a mechanic can be inferred via the universal rewriting rule. There is at least one y_1 for which if y_1 were curious, then y_1 is reading a book can be inferred via the existential biconditional elimination rule. There is at least one y_1 for which if y_1 reads a book, then y_1 is curious can be inferred via the existential biconditional elimination rule.