Journal of Formalized Mathematics
Volume 11, 1999
University of Bialystok
Copyright (c) 1999
Association of Mizar Users
Predicate Calculus for Boolean Valued Functions. Part III

Shunichi Kobayashi

Shinshu University, Nagano

Yatsuka Nakamura

Shinshu University, 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 usual
predicate logic.
The terminology and notation used in this paper have been
introduced in the following articles
[9]
[2]
[11]
[14]
[13]
[12]
[7]
[1]
[10]
[8]
[3]
[5]
[4]
[6]

Preliminaries

Predicate Calculus
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Received July 14, 1999
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