He only question left to be settled now is: Are women persons? And I hardly believe any of our opponents will have the hardihood to say they are not. Being persons, then, the women are citizens; and no state has a right to make any law, or to enforce any old law, that shall abridge their privileges or immunities. Hence, every discrimination against women in the constitutions and laws of the several states is today null and void, precisely as is every one against Negroes.

Anthony most likely concludes her speech in this manner because she hopes to

inspire all citizens to fight for their right to vote.
persuade the audience that important causes are worth fighting for.
encourage the audience to question laws that are outdated or that no longer apply.
convince the audience that women are entitled to the same rights as men.