Complex: The Complex Numbers

This directory defines the type complex of the complex numbers, with numeric constants and some complex analysis. The development includes nonstandard analysis for the complex numbers. Note that the image HOL-Complex includes theories from the directories HOL/Real and HOL/Hyperreal. They define other types including real (the real numbers) and hypreal (the hyperreal or non-standard reals).

Real: Dedekind Cut Construction of the Real Line

Hyperreal: Ultrafilter Construction of the Non-Standard Reals

See J. D. Fleuriot and L. C. Paulson. Mechanizing Nonstandard Real Analysis. LMS J. Computation and Mathematics 3 (2000), 140-190.

Last modified $Date: 2005/10/04 08:58:46 $