Journal of Formalized Mathematics
Volume 11, 1999
University of Bialystok
Copyright (c) 1999 Association of Mizar Users

Six Variable Predicate Calculus for Boolean Valued Functions. Part I


Shunichi Kobayashi
Ueda Multimedia Information Center, Nagano

Summary.

In this paper, we proved some elementary predicate calculus formulae containing the quantifiers of Boolean valued functions with respect to partitions. Such a theory is an analogy of ordinary predicate logic.

MML Identifier: BVFUNC23

The terminology and notation used in this paper have been introduced in the following articles [11] [10] [2] [12] [8] [13] [1] [3] [4] [9] [6] [5] [7]

Contents (PDF format)

Bibliography

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[2] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
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[4] Czeslaw Bylinski. The modification of a function by a function and the iteration of the composition of a function. Journal of Formalized Mathematics, 2, 1990.
[5] Shunichi Kobayashi and Kui Jia. A theory of Boolean valued functions and partitions. Journal of Formalized Mathematics, 10, 1998.
[6] Shunichi Kobayashi and Kui Jia. A theory of partitions. Part I. Journal of Formalized Mathematics, 10, 1998.
[7] Shunichi Kobayashi and Yatsuka Nakamura. A theory of Boolean valued functions and quantifiers with respect to partitions. Journal of Formalized Mathematics, 10, 1998.
[8] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.
[9] Konrad Raczkowski and Pawel Sadowski. Equivalence relations and classes of abstraction. Journal of Formalized Mathematics, 1, 1989.
[10] Andrzej Trybulec. Enumerated sets. Journal of Formalized Mathematics, 1, 1989.
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[13] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received December 27, 1999


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