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

Predicate Calculus for Boolean Valued Functions. Part VI


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 usual predicate logic.

MML Identifier: BVFUNC14

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

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 October 19, 1999


[ Download a postscript version, MML identifier index, Mizar home page]