Journal of Formalized Mathematics
Addenda, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Strong Arithmetic of Real Numbers
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Andrzej Trybulec
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Warsaw University, Bialystok
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Supported by RPBP.III-24.B1.
Summary.
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This abstract contains the second part of the axiomatics of the Mizar system
(the first part is in abstract [4]).
The axioms listed here characterize the Mizar built-in concepts that are
automatically attached to every Mizar article.
We give definitional axioms of the following concepts: element, subset,
Cartesian product, domain (non empty subset), subdomain (non empty subset of
a domain), set domain (domain consisting of sets).
Axioms of strong arithmetics of real numbers are also included.
MML Identifier:
AXIOMS
The terminology and notation used in this paper have been
introduced in the following articles
[4]
[3]
[6]
[1]
[2]
[5]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Grzegorz Bancerek.
Sequences of ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [5]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [6]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received January 1, 1989
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