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\begin{document}
\coverpage{The standard library}
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{This material is distributed under the terms of the GNU Lesser
General Public License Version 2.1.}
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% \section*{The \Coq\ standard library}
This document is a short description of the
\Coq\ standard library.
This library comes with the system as a complement of the core library
(the {
\bf Init} library ; see the Reference Manual for a description
of this library). It provides a set of modules directly available
through the
\verb!Require! command.
The standard library is composed of the following subdirectories:
\begin{description}
\item[Logic] Classical logic and dependent equality
\item[Bool] Booleans (basic functions and results)
\item[Arith] Basic Peano arithmetic
\item[ZArith] Basic integer arithmetic
\item[Reals] Classical Real Numbers and Analysis
\item[Lists] Monomorphic and polymorphic lists (basic functions and
results), Streams (infinite sequences defined
with co-inductive types)
\item[Sets] Sets (classical, constructive, finite, infinite, power set,
etc.)
\item[Relations] Relations (definitions and basic results).
\item[Sorting] Sorted list (basic definitions and heapsort
correctness).
\item[Wellfounded] Well-founded relations (basic results).
\item[Program] Tactics to deal with dependently-typed programs and
their proofs.
\item[Classes] Standard type class instances on relations and
Coq part of the setoid rewriting tactic.
\end{description}
Each of these subdirectories contains a set of modules, whose
specifications (
\gallina{} files) have
been roughly, and automatically, pasted in the following
pages. There
is also a version of this document in HTML format on the WWW, which
you can access from the
\Coq\ home page at
\texttt{
http://coq.inria.fr/library}.
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