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Rflag-specifications

Of-spec64

Signature
(of-spec64 signed-raw-result) → *

Definitions and Theorems

Function: of-spec64$inline

(defun of-spec64$inline (signed-raw-result)
 (declare (type (signed-byte 65)
                signed-raw-result))
 (bool->bit
    (mbe :logic (not (signed-byte-p 64 signed-raw-result))
         :exec (or (not (<= -9223372036854775808 signed-raw-result))
                   (not (< signed-raw-result
                           9223372036854775808))))))

Theorem: n01p-of-spec64

(defthm n01p-of-spec64
 (unsigned-byte-p 1 (of-spec64 signed-raw-result))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (of-spec64 signed-raw-result))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (of-spec64 signed-raw-result))
                   (< (of-spec64 signed-raw-result) 2))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))