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\title{Equivalents of the Axiom of Choice}
\author{Krzysztof Gr\c{a}bczewski}
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\begin{abstract}
  This development~\cite{paulson-gr} proves the equivalence of seven
  formulations of the well-ordering theorem and twenty formulations of the
  axiom of choice. It formalizes the first two chapters of the monograph
  \emph{Equivalents of the Axiom of Choice} by Rubin and
  Rubin~\cite{rubin&rubin}. Some of this mmaterial involves extremely complex
  techniques.
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