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Rflag-specifications

Sf-spec8

Signature
(sf-spec8 result) → *

Definitions and Theorems

Function: sf-spec8$inline

(defun sf-spec8$inline (result)
  (declare (type (unsigned-byte 8) result))
  (mbe :logic (part-select result :low 7 :width 1)
       :exec (the (unsigned-byte 1)
                  (ash result -7))))

Theorem: n01p-sf-spec8

(defthm n01p-sf-spec8
 (unsigned-byte-p 1 (sf-spec8 result))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (sf-spec8 result))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (sf-spec8 result))
                   (< (sf-spec8 result) 2))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))