gengwall

I just heard an argument that I know is fallacious but I’m not sure which logical fallacy to label it as. I will put it in terms of this post so maybe I can get a little help while still pursuing the topic.

“The bible teaches that sin came through Adam; everyone who believes the husband is the leader of the family rejects this teaching.”

Although it is possible that a person who believes that the husband is the leader of the family subsequently rejects the teaching of Romans 5, it is absurd to insist that EVERY person who believes that the husband is the leader of the family subsequently rejects the teaching of Romans 5. They may in fact embrace Romans 5 but try to explain it away, or may even embrace Romans 5 but see it as irrelevant to the topic of family structure. At any rate, The logic of the argument certainly fails. Still, I can’t seem to find this precise argumental progression in my handy dandy list of logical fallacies. Can anyone help?