Pro‐sy″lo‐gism (?), n. [Pref. pro- + syllogism.] (Logic) A syllogism preliminary or logically essential to another syllogism; the conclusion of such a syllogism, which becomes a premise of the following syllogism.
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Webster's Dictionary 1913
Webster's Revised Unabridged Dictionary, C. & G. Merriam Co., 1913.