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