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Webster's 1828 Dictionary

PROSYLLOGISM

n.[pro and syllogism. ] A prosyllogism is when two or more syllogisms are so connected that the conclusion of the former is the major or minor of the following.

 

Duden Dictionary

Prosyllogismus

Pro syl lo gis mus Substantiv, maskulin Logik , der |Prosyllog i smus |der Prosyllogismus; Genitiv: des Prosyllogismus, Plural: die Prosyllogismen griechisch-neulateinisch Schluss einer Schlusskette, dessen Schlusssatz die Prämisse des folgenden Schlusses ist; Vorschluss