Building a Framework of Rough Inclusion Functions by Means of Computerized Proof Assistant

The paper describes some of the issues concerning the development of automated formal framework for the reasoning about rough inclusion functions, starting with the classical one, and generalizations thereof. We work with the Mizar system; the viewpoint of the rough set theory, and especially mereology by Leśniewski, can allow for the creation of new foundations for the Mizar Mathematical Library, or at least for fresh branch of this formal database, originally based on Tarski-Grothendieck axioms.

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