Journal of Formalized Mathematics
Volume 4, 1992
University of Bialystok
Copyright (c) 1992
Association of Mizar Users
GoBoard Theorem

Jaroslaw Kotowicz

Warsaw University, Bialystok

This article was written during my visit at Shinshu University in 1992.

Yatsuka Nakamura

Shinshu University, Nagano
Summary.

We prove the Goboard theorem which is
a special case of Hex Theorem. The article is based on [11].
The terminology and notation used in this paper have been
introduced in the following articles
[12]
[4]
[15]
[13]
[1]
[3]
[2]
[10]
[14]
[7]
[5]
[6]
[9]
[8]
Contents (PDF format)
Bibliography
 [1]
Grzegorz Bancerek.
The fundamental properties of natural numbers.
Journal of Formalized Mathematics,
1, 1989.
 [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.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Agata Darmochwal.
The Euclidean space.
Journal of Formalized Mathematics,
3, 1991.
 [6]
Agata Darmochwal and Yatsuka Nakamura.
The topological space $\calE^2_\rmT$. Arcs, line segments and special polygonal arcs.
Journal of Formalized Mathematics,
3, 1991.
 [7]
Katarzyna Jankowska.
Matrices. Abelian group of matrices.
Journal of Formalized Mathematics,
3, 1991.
 [8]
Jaroslaw Kotowicz and Yatsuka Nakamura.
Introduction to GoBoard  part I.
Journal of Formalized Mathematics,
4, 1992.
 [9]
Yatsuka Nakamura and Jaroslaw Kotowicz.
Connectedness conditions using polygonal arcs.
Journal of Formalized Mathematics,
4, 1992.
 [10]
Beata Padlewska and Agata Darmochwal.
Topological spaces and continuous functions.
Journal of Formalized Mathematics,
1, 1989.
 [11]
Yukio Takeuchi and Yatsuka Nakamura.
On the Jordan curve theorem.
Technical Report 19804, Dept. of Information Eng., Shinshu
University, 500 Wakasato, Nagano city, Japan, April 1980.
 [12]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [13]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
 [14]
Wojciech A. Trybulec.
Pigeon hole principle.
Journal of Formalized Mathematics,
2, 1990.
 [15]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received August 24, 1992
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