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    Of-spec16

    Signature
    (of-spec16 signed-raw-result) → *

    Definitions and Theorems

    Function: of-spec16$inline

    (defun of-spec16$inline (signed-raw-result)
      (declare (type (signed-byte 17)
                     signed-raw-result))
      (bool->bit (mbe :logic (not (signed-byte-p 16 signed-raw-result))
                      :exec (or (not (<= -32768 signed-raw-result))
                                (not (< signed-raw-result 32768))))))

    Theorem: n01p-of-spec16

    (defthm n01p-of-spec16
     (unsigned-byte-p 1 (of-spec16 signed-raw-result))
     :rule-classes
     (:rewrite
      (:type-prescription
         :corollary (bitp (of-spec16 signed-raw-result))
         :hints
         (("Goal"
               :in-theory
               '(unsigned-byte-p integer-range-p natp bitp (:e expt)))))
      (:linear
       :corollary (and (<= 0 (of-spec16 signed-raw-result))
                       (< (of-spec16 signed-raw-result) 2))
       :hints
       (("Goal"
            :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))