Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Models and Satisfiability

Grzegorz Bancerek

Warsaw University, Bialystok

Supported by RPBP.III24.C1.
Summary.

The article includes schemes of defining by structural induction, and
definitions and theorems related to:
the set of variables which have free occurrences in a ZFformula,
the set of all valuations of variables in a model,
the set of all valuations which satisfy a ZFformula in a model,
the satisfiability of a ZFformula in a model by a valuation,
the validity of a ZFformula in a model,
the axioms of ZFlanguage,
the model of the ZF set theory.
The terminology and notation used in this paper have been
introduced in the following articles
[7]
[6]
[5]
[8]
[9]
[3]
[1]
[4]
[2]
Contents (PDF format)
Bibliography
 [1]
Grzegorz Bancerek.
A model of ZF set theory language.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Andrzej Trybulec.
Enumerated sets.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [8]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [9]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received April 14, 1989
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