Abstract

this paper (and in another Mizar articles) we work in Tarski-Grothendieck (TG) theory (see [17]) which ensures the existence of sets that have properties like universal class (i.e. this theory is stronger than MK). The sets are introduced in [15] and some concepts of MK are modeled. The concepts are: the class On of all ordinal numbers belonging to the universe, subclasses, transfinite sequences of non-empty elements of universe, etc. The reflection theorem states that if A ¸ is an increasing and continuous transfinite sequence of non-empty sets and class A =

Citations

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