On the Sets Inhabited by Numbers

Andrzej Trybulec

University of Bialystok

Summary.

The information that all members of a set enjoy a property expressed by an adjective can be processed in a systematic way. The purpose of the work is to find out how to do that. If it works, `membered' will become a reserved word and the work with it will be automated. I have chosen {\it membered} rather than {\it inhabited} because of the compatibility with the Automath terminology. The phrase $\tau$ {\it inhabits} $\theta$ could be translated to $\tau$ {\bfseries\itshape is} $\theta$ in Mizar.

This work has been partially supported by the CALCULEMUS grant HPRN-CT-2000-00102.

MML Identifier: MEMBERED

Contents (PDF format)

Acknowledgments

Bibliography

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