Consider the following extended argument:

I think it's safe to say Martin Luther King, Jr., was a 20th Century American Liberal; for, he believed that the U.S.'s highest political priority should be equality, and that was the primary focus of 20th Century American Liberalism. So, Martin Luther King, Jr., probably thought that Capitalism was problematic, for he either thought that or he wasn't a liberal; and we've already established that he was a liberal.

But he wasn't a Communist. Because he believed that individuals should be allowed to own private property, and noone who believes that individuals should be allowed to own private property is a Communist. So, given that King was not a Communist, the F.B.I.'s J. Edgar Hoover should not have publicly portrayed King as a Communist. Since Hoover should have done it only if King was a Communist.

What type of argument is this extended argument's second sub-argument?

Hypothetical Syllogism	Categorical Syllogism	Argument by Elimination	Argument Based on Mathematics
Inductive Generalization	Predictive Argument	Causal Argument	Argument by Analogy