Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998
Association of Mizar Users
A Theory of Boolean Valued Functions and Partitions

Shunichi Kobayashi

Shinshu University, Nagano

Kui Jia

Shinshu University, Nagano
Summary.

In this paper, we define Boolean valued functions. Some of their algebraic
properties are proved. We also introduce and examine the infimum and supremum
of Boolean valued functions and their properties. In the
last section, relations between Boolean valued functions and partitions
are discussed.
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[4]
[13]
[1]
[16]
[15]
[14]
[2]
[3]
[9]
[12]
[8]
[10]
[7]
[5]
[6]

Boolean Operations

Boolean Valued Functions

Infimum and Supremum

Boolean Valued Functions and Partitions
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Received October 22, 1998
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