Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Binary Operations

Czeslaw Bylinski

Warsaw University, Bialystok

Supported by RPBP.III24.C1.
Summary.

In this paper we define binary and unary operations on domains.
We also define the following predicates concerning the operations:
$\dots$ is commutative,
$\dots$ is associative, $\dots$ is the unity of $\dots$,
and $\dots$ is distributive wrt $\dots$.
A number of schemes useful in justifying the existence of the operations
are proved.
MML Identifier:
BINOP_1
The terminology and notation used in this paper have been
introduced in the following articles
[4]
[3]
[5]
[6]
[1]
[2]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [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.
Received April 14, 1989
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