AN INTEGER LIBRARY FOR NQTHM

This note contains a brief summary of an integer library that has been created for nqthm. This discussion is far 2 from thorough and complete , but I felt that a summary of some of the main ideas would be lots better than nothing at all. An integer library has in fact existed for some time at CLI, thanks to Bill Bevier and Matt Wilding (cf. [1]), and the library reported on in this note includes much of that library and owes an intellectual debt to it. The main new contribution has been to enrich the collection of useful metalemmas proved about the integers, and in this note I’ll confine myself mainly, though not completely, to comments about these lemmas.