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    Non-maj-ind-hint

    Signature
    (non-maj-ind-hint l cids xs) → (mv * * *)

    Definitions and Theorems

    Theorem: candidate-with-least-nth-place-votes-is-a-member-of-cids-alt

    (defthm candidate-with-least-nth-place-votes-is-a-member-of-cids-alt
     (implies
          (and (nat-listp cids)
               (consp cids)
               (irv-ballot-p xs))
          (member-equal (candidate-with-least-nth-place-votes n cids xs)
                        cids)))

    Function: non-maj-ind-hint

    (defun non-maj-ind-hint (l cids xs)
     (declare (xargs :guard t))
     (let ((__function__ 'non-maj-ind-hint))
      (declare (ignorable __function__))
      (if (or (not (irv-ballot-p xs))
              (endp cids)
              (endp xs))
          (mv l cids xs)
       (b*
        ((step-2-candidate-to-remove
              (candidate-with-least-nth-place-votes 0 (candidate-ids xs)
                                                    xs))
         (new-xs (eliminate-candidate step-2-candidate-to-remove xs)))
        (if (equal l step-2-candidate-to-remove)
            (mv step-2-candidate-to-remove cids xs)
          (non-maj-ind-hint
               l
               (remove-equal step-2-candidate-to-remove cids)
               new-xs))))))