<!-- $Id$ -->
<HTML><HEAD><TITLE>HOL/Real/README</TITLE></HEAD><BODY>
<H2>Real--Dedekind Cut Construction of the Real Line</H2>
<P>Requires <A HREF="../Integ/Equiv.thy">Equiv.thy</A> in the subdirectory <A
HREF="../Integ">HOL/Integ</A>.
<UL>
<LI><A HREF="PNat.thy">PNat</A> The positive integers (very much the same as <A HREF="../Nat.thy">Nat.thy</A>!)
<LI><A HREF="PRat.thy">PRat</A> The positive rationals
<LI><A HREF="PReal.thy">PReal</A> The positive reals constructed using Dedekind cuts
<LI><A HREF="Real.thy">Real</A> The real numbers
<LI><A HREF="Lubs.thy">Lubs</A> Definition of upper bounds, lubs and so on.
(Useful e.g. in Fleuriot's NSA theory)
<LI><A HREF="RComplete.thy">RComplete</A> Proof of completeness of reals in form of the supremum
property. Also proofs that the reals have the Archimedean
property.
<LI><A HREF="RealAbs.thy">RealAbs</A> The absolute value function defined for the reals
</UL>
<P>Last modified on $Date$
<HR>
<ADDRESS>
<A NAME="lcp@cl.cam.ac.uk" HREF="mailto:lcp@cl.cam.ac.uk">lcp@cl.cam.ac.uk</A>
</ADDRESS>
</BODY></HTML>