Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Variables in Formulae of the First Order Language
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Czeslaw Bylinski
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Warsaw University, Bialystok
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Grzegorz Bancerek
-
Warsaw University, Bialystok
Summary.
-
We develop the first order language defined in [6].
We continue the work done in the article [1].
We prove some schemes of defining by structural induction.
We deal with notions of closed subformulae and of still not bound variables
in a formula. We introduce the concept of the set of all free variables
and the set of all fixed variables occurring in a formula.
Partially supported by RPBP.III-24.C1.
The terminology and notation used in this paper have been
introduced in the following articles
[7]
[5]
[9]
[8]
[3]
[4]
[2]
[6]
[1]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
Connectives and subformulae of the first order language.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
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]
Piotr Rudnicki and Andrzej Trybulec.
A first order language.
Journal of Formalized Mathematics,
1, 1989.
- [7]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [8]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [9]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received November 23, 1989
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