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.
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]
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Czeslaw Bylinski.
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Shunichi Kobayashi and Kui Jia.
A theory of Boolean valued functions and partitions.
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 [6]
Shunichi Kobayashi and Kui Jia.
A theory of partitions. Part I.
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A theory of Boolean valued functions and quantifiers with respect to partitions.
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Families of sets.
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Equivalence relations and classes of abstraction.
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Enumerated sets.
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 [11]
Andrzej Trybulec.
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Edmund Woronowicz.
Relations and their basic properties.
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Received December 27, 1999
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