Journal of Formalized Mathematics
Volume 11, 1999
University of Bialystok
Copyright (c) 1999
Association of Mizar Users
Five 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
 [1]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
A classical first order language.
Journal of Formalized Mathematics,
2, 1990.
 [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.
 [11]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [12]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [13]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received December 27, 1999
[
Download a postscript version,
MML identifier index,
Mizar home page]