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\coverpage{The standard library}%{\ }{This material is distributed under the terms of the GNU LesserGeneral Public License Version 2.1.}
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\newpage% \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 descriptionof this library). It provides a set of modules directly availablethrough 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, whosespecifications (\gallina{} files) havebeen roughly, and automatically, pasted in the following pages. Thereis also a version of this document in HTML format on the WWW, whichyou can access from the \Coq\ home page at\texttt{http://coq.inria.fr/library}.
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