Volume 15, 2003

University of Bialystok

Copyright (c) 2003 Association of Mizar Users

**Noboru Endou**- Gifu National College of Technology
**Yasumasa Suzuki**- Miyagi University
**Yasunari Shidama**- Shinshu University, Nagano

- This is a continuation of [6]. In this article, we proved that convex combination on convex family is convex.

- Convex Combinations on Convex Family
- Miscellaneous

- [1]
Grzegorz Bancerek.
Cardinal 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.
Functions from a set to a set.
*Journal of Formalized Mathematics*, 1, 1989. - [5]
Agata Darmochwal.
Finite sets.
*Journal of Formalized Mathematics*, 1, 1989. - [6]
Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama.
Convex sets and convex combinations.
*Journal of Formalized Mathematics*, 14, 2002. - [7]
Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama.
Dimension of real unitary space.
*Journal of Formalized Mathematics*, 14, 2002. - [8]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
*Journal of Formalized Mathematics*, 1, 1989. - [9]
Jaroslaw Kotowicz.
Functions and finite sequences of real numbers.
*Journal of Formalized Mathematics*, 5, 1993. - [10]
Beata Padlewska.
Families of sets.
*Journal of Formalized Mathematics*, 1, 1989. - [11]
Jan Popiolek.
Introduction to Banach and Hilbert spaces --- part I.
*Journal of Formalized Mathematics*, 3, 1991. - [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.
Operations on subspaces in real linear space.
*Journal of Formalized Mathematics*, 1, 1989. - [15]
Wojciech A. Trybulec.
Subspaces and cosets of subspaces in real linear space.
*Journal of Formalized Mathematics*, 1, 1989. - [16]
Wojciech A. Trybulec.
Vectors in real linear space.
*Journal of Formalized Mathematics*, 1, 1989. - [17]
Wojciech A. Trybulec.
Linear combinations in real linear space.
*Journal of Formalized Mathematics*, 2, 1990. - [18]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [19]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989.

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