Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998
Association of Mizar Users
The Composition of Functors and Transformations in Alternative
Categories
-
Artur Kornilowicz
-
University of Bialystok
The terminology and notation used in this paper have been
introduced in the following articles
[10]
[5]
[16]
[2]
[4]
[3]
[1]
[9]
[11]
[12]
[6]
[13]
[14]
[7]
[15]
[8]
-
Preliminaries
-
The Composition of Functors with Transformations
-
The Composition of Transformations
-
Natural Equivalences
Bibliography
- [1]
Czeslaw Bylinski.
Binary operations.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Czeslaw Bylinski.
Partial functions.
Journal of Formalized Mathematics,
1, 1989.
- [5]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
- [6]
Malgorzata Korolkiewicz.
Homomorphisms of many sorted algebras.
Journal of Formalized Mathematics,
6, 1994.
- [7]
Beata Madras-Kobus.
Basic properties of objects and morphisms.
Journal of Formalized Mathematics,
9, 1997.
- [8]
Robert Nieszczerzewski.
Category of functors between alternative categories.
Journal of Formalized Mathematics,
9, 1997.
- [9]
Andrzej Trybulec.
Binary operations applied to functions.
Journal of Formalized Mathematics,
1, 1989.
- [10]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [11]
Andrzej Trybulec.
Many-sorted sets.
Journal of Formalized Mathematics,
5, 1993.
- [12]
Andrzej Trybulec.
Many sorted algebras.
Journal of Formalized Mathematics,
6, 1994.
- [13]
Andrzej Trybulec.
Categories without uniqueness of \rm cod and \rm dom.
Journal of Formalized Mathematics,
7, 1995.
- [14]
Andrzej Trybulec.
Examples of category structures.
Journal of Formalized Mathematics,
8, 1996.
- [15]
Andrzej Trybulec.
Functors for alternative categories.
Journal of Formalized Mathematics,
8, 1996.
- [16]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received January 21, 1998
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