Volume 8, 1996

University of Bialystok

Copyright (c) 1996 Association of Mizar Users

**Andrzej Trybulec**- Warsaw University, Bialystok

- We continue the formalization of the category theory.

- Preliminaries
- An auxiliary notion
- A bit of lambda calculus
- More on old categories
- Transforming an old category into a new one
- More on new categories
- The empty category
- Subcategories

- [1]
Czeslaw Bylinski.
Basic functions and operations on functions.
*Journal of Formalized Mathematics*, 1, 1989. - [2]
Czeslaw Bylinski.
Binary operations.
*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.
Introduction to categories and functors.
*Journal of Formalized Mathematics*, 1, 1989. - [6]
Czeslaw Bylinski.
Some basic properties of sets.
*Journal of Formalized Mathematics*, 1, 1989. - [7]
Czeslaw Bylinski.
A classical first order language.
*Journal of Formalized Mathematics*, 2, 1990. - [8]
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. - [9]
Czeslaw Bylinski.
Cartesian categories.
*Journal of Formalized Mathematics*, 4, 1992. - [10]
Artur Kornilowicz.
On the group of automorphisms of universal algebra and many sorted algebra.
*Journal of Formalized Mathematics*, 6, 1994. - [11]
Malgorzata Korolkiewicz.
Homomorphisms of many sorted algebras.
*Journal of Formalized Mathematics*, 6, 1994. - [12]
Beata Madras.
Product of family of universal algebras.
*Journal of Formalized Mathematics*, 5, 1993. - [13]
Michal Muzalewski and Wojciech Skaba.
Three-argument operations and four-argument operations.
*Journal of Formalized Mathematics*, 2, 1990. - [14]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*, Axiomatics, 1989. - [15]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
*Journal of Formalized Mathematics*, 1, 1989. - [16]
Andrzej Trybulec.
Many-sorted sets.
*Journal of Formalized Mathematics*, 5, 1993. - [17]
Andrzej Trybulec.
Many sorted algebras.
*Journal of Formalized Mathematics*, 6, 1994. - [18]
Andrzej Trybulec.
Categories without uniqueness of \rm cod and \rm dom.
*Journal of Formalized Mathematics*, 7, 1995. - [19]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [20]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989.

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