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\coverpage{The standard library}%
{\ }

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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:
\medskip
\begin{tabular}{lp{12cm}}
  {\bf Logic}   & Classical logic and dependent equality \\
  {\bf Bool}    & Booleans (basic functions and results) \\
  {\bf Arith}   & Basic Peano arithmetic \\
  {\bf ZArith}  & Basic integer arithmetic \\
  {\bf Reals}   & Classical Real Numbers and Analysis \\
  {\bf Lists}   & Monomorphic and polymorphic lists (basic functions and
                  results), Streams (infinite sequences defined 
                  with co-inductive types) \\
  {\bf Sets}    & Sets (classical, constructive, finite, infinite, power set,
                  etc.) \\
  {\bf Relations}   & Relations (definitions and basic results). \\
  {\bf Sorting}  & Sorted list (basic definitions and heapsort correctness). \\
  {\bf Wellfounded} & Well-founded relations (basic results). \\
  {\bf IntMap}      & Representation of finite sets by an efficient
                      structure of map (trees indexed by binary integers).\\

\end{tabular}
\medskip

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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