Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998 Association of Mizar Users

## A Theory of Partitions. Part I

Shunichi Kobayashi
Shinshu University, Nagano
Kui Jia
Shinshu University, Nagano

### Summary.

In this paper, we define join and meet operations between partitions. The properties of these operations are proved. Then we introduce the correspondence between partitions and equivalence relations which preserve join and meet operations. The properties of these relationships are proved.

#### MML Identifier: PARTIT1

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

#### Contents (PDF format)

1. Preliminaries
2. Join and Meet Operation Between Partitions
3. Partitions and Equivalence Relations

#### Bibliography

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