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Rflag-specifications

Sf-spec32

Signature
(sf-spec32 result) → *

Definitions and Theorems

Function: sf-spec32$inline

(defun sf-spec32$inline (result)
  (declare (type (unsigned-byte 32) result))
  (mbe :logic (part-select result :low 31 :width 1)
       :exec (the (unsigned-byte 1)
                  (ash result -31))))

Theorem: n01p-sf-spec32

(defthm n01p-sf-spec32
 (unsigned-byte-p 1 (sf-spec32 result))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (sf-spec32 result))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (sf-spec32 result))
                   (< (sf-spec32 result) 2))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))