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.
Zorn
Zorn's Lemma: proof based on the
ZF version
Filter
Theory of Filters and Ultrafilters. Main result is a version of the Ultrafilter Theorem proved using Zorn's Lemma.
HyperDef
Ultrapower construction of the hyperreals
NSA
Theory defining sets of infinite numbers, infinitesimals, the infinitely close relation, and their various algebraic properties.
HyperNat
Ultrapower construction of the hypernaturals
HyperPow
Powers theory for the hyperreals
Star
Nonstandard extensions of real sets and real functions
NatStar
Nonstandard extensions of sets of naturals and functions on the natural numbers
SEQ
Theory of sequences developed using standard and nonstandard analysis
Lim
Theory of limits, continuous functions, and derivatives
Series
Standard theory of finite summation and infinite series
Last modified on $Date: 2000/09/21 16:58:25 $
lcp@cl.cam.ac.uk