minor premise

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun The premise in a syllogism containing the minor term, which will form the subject of the conclusion.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun logic In a categorical syllogism, the premise whose terms are the syllogism's minor term and middle term.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun the premise of a syllogism that contains the minor term (which is the subject of the conclusion)