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, 2011

"... This development [1] 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 Equivalents of the Axiom of Choice by Rubin and Rubin [2]. Some of this mmaterial involves extremely co ..."

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This development [1] 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 Equivalents of the Axiom of Choice by Rubin and Rubin [2]. Some of this mmaterial involves extremely complex techniques. Contents 0.1 Lemmas useful in each of the three proofs.......... 23