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


Czeslaw Bylinski
Warsaw University, Bialystok
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.

MML Identifier: QC_LANG3

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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