In the spirit of mathematical knowledge management theorems are proven with computer assistance to be included into mathematical repositories. In the mathematical literature one often finds not only different proofs for theorems, but also different versions or generalizations with a different background. In mathematical repositories, for obvious reasons, there is usually one version of a theorem with one proof only - the authors choose a version and a proof which can be formalized most easily. In this paper we argue that there are other issues to decide which proof of a theorem or which version of a theorem should be included in a repository. These basically depend on the intended further use of the theorem and the proof. We illustrate these issues in detail with the Chinese Remainder Theorem as an example.
Financed by the National Centre for Research and Development under grant No. SP/I/1/77065/10 by the strategic scientific research and experimental development program:
SYNAT - “Interdisciplinary System for Interactive Scientific and Scientific-Technical Information”.