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

Predicate Calculus for Boolean Valued Functions. Part X


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: BVFUNC18

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

Contents (PDF format)

Bibliography

[1] Shunichi Kobayashi and Kui Jia. A theory of Boolean valued functions and partitions. Journal of Formalized Mathematics, 10, 1998.
[2] Shunichi Kobayashi and Yatsuka Nakamura. A theory of Boolean valued functions and quantifiers with respect to partitions. Journal of Formalized Mathematics, 10, 1998.
[3] Konrad Raczkowski and Pawel Sadowski. Equivalence relations and classes of abstraction. Journal of Formalized Mathematics, 1, 1989.
[4] Andrzej Trybulec. Semilattice operations on finite subsets. Journal of Formalized Mathematics, 1, 1989.
[5] Andrzej Trybulec. Function domains and Fr\aenkel operator. Journal of Formalized Mathematics, 2, 1990.
[6] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[7] Edmund Woronowicz. Interpretation and satisfiability in the first order logic. Journal of Formalized Mathematics, 2, 1990.
[8] Edmund Woronowicz. Many-argument relations. Journal of Formalized Mathematics, 2, 1990.

Received November 15, 1999


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