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_5, x_5 will work. There is at least one x_5 for which x_5 is a lawyer. For all x_5, x_5 will write a letter.
For all x_5, x_5 will work and x_5 will write a letter can be inferred via the universal conjunction rule. For all x_5, x_5 will write a letter and x_5 will work can be inferred via the universal conjunction rule. Some lawyers will work can be inferred via the existential conjunction rule. Some lawyers will write a letter can be inferred via the existential conjunction rule. There is at least one x_5 for which x_5 will work and x_5 is a lawyer can be inferred via the existential conjunction rule. There is at least one x_5 for which x_5 will write a letter and x_5 is a lawyer can be inferred via the existential conjunction rule.