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Interp-flags

Interp-flags->if-merge-last-chance

Access the |FGL|::|IF-MERGE-LAST-CHANCE| field of a interp-flags bit structure.

Signature
(interp-flags->if-merge-last-chance x) → if-merge-last-chance
Arguments: x — Guard (interp-flags-p x).
Returns: if-merge-last-chance — Type (booleanp if-merge-last-chance).

Definitions and Theorems

Function: interp-flags->if-merge-last-chance

(defun interp-flags->if-merge-last-chance (x)
 (declare (xargs :guard (interp-flags-p x)))
 (mbe
     :logic
     (let ((x (interp-flags-fix x)))
       (bit->bool (acl2::part-select x :low 5 :width 1)))
     :exec
     (bit->bool
          (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 1)
                            (ash (the (unsigned-byte 6) x) -5)))))))

Theorem: booleanp-of-interp-flags->if-merge-last-chance

(defthm booleanp-of-interp-flags->if-merge-last-chance
 (b* ((if-merge-last-chance (interp-flags->if-merge-last-chance x)))
   (booleanp if-merge-last-chance))
 :rule-classes :rewrite)

Theorem: interp-flags->if-merge-last-chance-of-interp-flags-fix-x

(defthm interp-flags->if-merge-last-chance-of-interp-flags-fix-x
  (equal (interp-flags->if-merge-last-chance (interp-flags-fix x))
         (interp-flags->if-merge-last-chance x)))

Theorem: interp-flags->if-merge-last-chance-interp-flags-equiv-congruence-on-x

(defthm
 interp-flags->if-merge-last-chance-interp-flags-equiv-congruence-on-x
 (implies (interp-flags-equiv x x-equiv)
          (equal (interp-flags->if-merge-last-chance x)
                 (interp-flags->if-merge-last-chance x-equiv)))
 :rule-classes :congruence)

Theorem: interp-flags->if-merge-last-chance-of-interp-flags

(defthm interp-flags->if-merge-last-chance-of-interp-flags
  (equal (interp-flags->if-merge-last-chance
              (interp-flags intro-bvars
                            trace-rewrites make-ites branch-on-ifs
                            hide if-merge-last-chance))
         (bool-fix if-merge-last-chance)))

Theorem: interp-flags->if-merge-last-chance-of-write-with-mask

(defthm interp-flags->if-merge-last-chance-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x interp-flags-equiv-under-mask)
                (interp-flags-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 32)
                       0))
           (equal (interp-flags->if-merge-last-chance x)
                  (interp-flags->if-merge-last-chance y))))