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

## Propositional Calculus for Boolean Valued Functions. Part IV

Shunichi Kobayashi
Shinshu University, Nagano

### Summary.

In this paper, we have proved some elementary propositional calculus formulae for Boolean valued functions.

#### MML Identifier: BVFUNC_8

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

Contents (PDF format)

#### Bibliography

[1] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[2] Shunichi Kobayashi and Kui Jia. A theory of Boolean valued functions and partitions. Journal of Formalized Mathematics, 10, 1998.
[3] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[4] Andrzej Trybulec. Function domains and Fr\aenkel operator. Journal of Formalized Mathematics, 2, 1990.
[5] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[6] Edmund Woronowicz. Relations and their basic properties. 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 April 23, 1999