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

Natural Numbers


Robert Milewski
University of Bialystok

MML Identifier: NAT_2

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

Contents (PDF format)

  1. Preliminaries
  2. Division and Rest of Division

Bibliography

[1] Grzegorz Bancerek. The fundamental properties of natural numbers. Journal of Formalized Mathematics, 1, 1989.
[2] Grzegorz Bancerek. The ordinal numbers. Journal of Formalized Mathematics, 1, 1989.
[3] Grzegorz Bancerek. Sequences of ordinal numbers. Journal of Formalized Mathematics, 1, 1989.
[4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.
[5] Jozef Bialas. Group and field definitions. Journal of Formalized Mathematics, 1, 1989.
[6] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[7] Takaya Nishiyama and Yasuho Mizuhara. Binary arithmetics. Journal of Formalized Mathematics, 5, 1993.
[8] Konrad Raczkowski and Andrzej Nedzusiak. Real exponents and logarithms. Journal of Formalized Mathematics, 2, 1990.
[9] Konrad Raczkowski and Andrzej Nedzusiak. Series. Journal of Formalized Mathematics, 3, 1991.
[10] Piotr Rudnicki and Andrzej Trybulec. Abian's fixed point theorem. Journal of Formalized Mathematics, 9, 1997.
[11] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[12] Michal J. Trybulec. Integers. Journal of Formalized Mathematics, 2, 1990.
[13] Wojciech A. Trybulec. Pigeon hole principle. Journal of Formalized Mathematics, 2, 1990.
[14] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

Received February 23, 1998


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