Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989 Association of Mizar Users

Functions and Their Basic Properties

Czeslaw Bylinski
Warsaw University, Bialystok
Supported by RPBP.III-24.C1.


The definitions of the mode Function and the graph of a function are introduced. The graph of a function is defined to be identical with the function. The following concepts are also defined: the domain of a function, the range of a function, the identity function, the composition of functions, the 1-1 function, the inverse function, the restriction of a function, the image and the inverse image. Certain basic facts about functions and the notions defined in the article are proved.

MML Identifier: FUNCT_1

The terminology and notation used in this paper have been introduced in the following articles [1] [2]

Contents (PDF format)


[1] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[2] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received March 3, 1989

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