The Collaborative International Dictionary
Episyllogism
Episyllogism \Ep`i*syl"lo*gism\, n. [Pref. epi- + syllogism.] (Logic) A syllogism which assumes as one of its premises a proposition which was the conclusion of a preceding syllogism, called, in relation to this, the prosyllogism.
Wiktionary
episyllogism
n. (context logic English) A syllogism which assumes as one of its premises a proposition which was the conclusion of a preceding syllogism (the prosyllogism).