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    • Lift-info

    Lift-infop

    Recognizer for lift-info structures.

    Signature
    (lift-infop x) → *

    Definitions and Theorems

    Function: lift-infop

    (defun lift-infop (x)
      (declare (xargs :guard t))
      (let ((__function__ 'lift-infop))
        (declare (ignorable __function__))
        (and (mbe :logic (and (alistp x)
                              (equal (strip-cars x) '(pred def hyps)))
                  :exec (fty::alist-with-carsp x '(pred def hyps)))
             (b* ((pred (cdr (std::da-nth 0 x)))
                  (def (cdr (std::da-nth 1 x)))
                  (hyps (cdr (std::da-nth 2 x))))
               (and (symbolp pred)
                    (definitionp def)
                    (true-listp hyps))))))

    Theorem: consp-when-lift-infop

    (defthm consp-when-lift-infop
      (implies (lift-infop x) (consp x))
      :rule-classes :compound-recognizer)