Prosyllogism Definition
    noun
  
 (logic) A syllogism that is preliminary or logically essential to another syllogism.
Wiktionary 
(logic) The conclusion of such a syllogism, which becomes a premise of the following syllogism.
Wiktionary 
Other Word Forms of Prosyllogism
Noun
Singular:
 prosyllogismPlural:
 prosyllogismsOrigin of Prosyllogism
-  pro- + syllogism From Wiktionary 
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