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+<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>