Consider the following premises. For all x_7, x_7 is a lawyer and x_7 will cook. For all x_7, if x_7 were a lawyer, then x_7 is a carpenter. There is at least one x_7 for which x_7 is sad. Can we infer the following from them? For all x_7, either x_7 is sad or x_7 is a carpenter are not true.
That contradicts the premises. Therefore the answer is no.