Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998
Association of Mizar Users
The Basic Properties of \SCM over Ring

Artur Kornilowicz

University of Bialystok
The terminology and notation used in this paper have been
introduced in the following articles
[13]
[12]
[17]
[18]
[3]
[4]
[11]
[16]
[8]
[14]
[15]
[1]
[2]
[5]
[6]
[9]
[10]
[7]

{\SCM } over Ring

Users Guide

Halt Instruction
Bibliography
 [1]
Grzegorz Bancerek.
K\"onig's theorem.
Journal of Formalized Mathematics,
2, 1990.
 [2]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Czeslaw Bylinski.
A classical first order language.
Journal of Formalized Mathematics,
2, 1990.
 [6]
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.
 [7]
Artur Kornilowicz.
The construction of \SCM over ring.
Journal of Formalized Mathematics,
10, 1998.
 [8]
Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski.
Abelian groups, fields and vector spaces.
Journal of Formalized Mathematics,
1, 1989.
 [9]
Yatsuka Nakamura and Andrzej Trybulec.
A mathematical model of CPU.
Journal of Formalized Mathematics,
4, 1992.
 [10]
Yatsuka Nakamura and Andrzej Trybulec.
On a mathematical model of programs.
Journal of Formalized Mathematics,
4, 1992.
 [11]
Dariusz Surowik.
Cyclic groups and some of their properties  part I.
Journal of Formalized Mathematics,
3, 1991.
 [12]
Andrzej Trybulec.
Enumerated sets.
Journal of Formalized Mathematics,
1, 1989.
 [13]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [14]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
Journal of Formalized Mathematics,
1, 1989.
 [15]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
 [16]
Wojciech A. Trybulec.
Vectors in real linear space.
Journal of Formalized Mathematics,
1, 1989.
 [17]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [18]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received November 29, 1998
[
Download a postscript version,
MML identifier index,
Mizar home page]