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• Vl-loadstate

Vl-loadstate-fix

Fixing function for vl-loadstate structures.

Signature

(vl-loadstate-fix x) → new-x

Arguments

x — Guard (vl-loadstate-p x).

Returns

new-x — Type (vl-loadstate-p new-x).

Definitions and Theorems

Function: vl-loadstate-fix$inline

(defun vl-loadstate-fix$inline (x)
 (declare (xargs :guard (vl-loadstate-p x)))
 (let ((__function__ 'vl-loadstate-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((config
      (vl-loadconfig-fix
           (std::prod-car (std::prod-car (std::prod-car (cdr x))))))
     (descs
      (vl-descriptionlist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-car (std::prod-car (cdr x)))))))
     (descalist
      (std::prod-cdr
           (std::prod-cdr (std::prod-car (std::prod-car (cdr x))))))
     (defines
      (vl-defines-fix
           (std::prod-car (std::prod-cdr (std::prod-car (cdr x)))))
)
     (iskips
      (vl-includeskips-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (ifdefmap
      (vl-ifdef-use-map-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (defmap
      (vl-def-use-map-fix
           (std::prod-car (std::prod-car (std::prod-cdr (cdr x))))))
     (idcache
      (vl-dirlist-cache-fix
       (std::prod-car
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (spcache
      (vl-dirxlist-cache-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (reportcard
      (vl-reportcard-fix
       (std::prod-car
          (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (pstate
      (vl-parsestate-fix
       (std::prod-cdr
          (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (filemap
      (vl-filemap-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (bytes
      (nfix
       (std::prod-cdr
         (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x))))))))
    (let ((descalist (vl-make-descalist descs)))
     (cons
      :vl-loadstate
      (std::prod-cons
       (std::prod-cons
            (std::prod-cons config (std::prod-cons descs descalist))
            (std::prod-cons defines
                            (std::prod-cons iskips ifdefmap)))
       (std::prod-cons
            (std::prod-cons defmap (std::prod-cons idcache spcache))
            (std::prod-cons (std::prod-cons reportcard pstate)
                            (std::prod-cons filemap bytes)))))))
   :exec x)))

Theorem: vl-loadstate-p-of-vl-loadstate-fix

(defthm vl-loadstate-p-of-vl-loadstate-fix
  (b* ((new-x (vl-loadstate-fix$inline x)))
    (vl-loadstate-p new-x))
  :rule-classes :rewrite)

Theorem: vl-loadstate-fix-when-vl-loadstate-p

(defthm vl-loadstate-fix-when-vl-loadstate-p
  (implies (vl-loadstate-p x)
           (equal (vl-loadstate-fix x) x)))

Function: vl-loadstate-equiv$inline

(defun vl-loadstate-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (vl-loadstate-p acl2::x)
                              (vl-loadstate-p acl2::y))))
  (equal (vl-loadstate-fix acl2::x)
         (vl-loadstate-fix acl2::y)))

Theorem: vl-loadstate-equiv-is-an-equivalence

(defthm vl-loadstate-equiv-is-an-equivalence
  (and (booleanp (vl-loadstate-equiv x y))
       (vl-loadstate-equiv x x)
       (implies (vl-loadstate-equiv x y)
                (vl-loadstate-equiv y x))
       (implies (and (vl-loadstate-equiv x y)
                     (vl-loadstate-equiv y z))
                (vl-loadstate-equiv x z)))
  :rule-classes (:equivalence))

Theorem: vl-loadstate-equiv-implies-equal-vl-loadstate-fix-1

(defthm vl-loadstate-equiv-implies-equal-vl-loadstate-fix-1
  (implies (vl-loadstate-equiv acl2::x x-equiv)
           (equal (vl-loadstate-fix acl2::x)
                  (vl-loadstate-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: vl-loadstate-fix-under-vl-loadstate-equiv

(defthm vl-loadstate-fix-under-vl-loadstate-equiv
  (vl-loadstate-equiv (vl-loadstate-fix acl2::x)
                      acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-vl-loadstate-fix-1-forward-to-vl-loadstate-equiv

(defthm equal-of-vl-loadstate-fix-1-forward-to-vl-loadstate-equiv
  (implies (equal (vl-loadstate-fix acl2::x)
                  acl2::y)
           (vl-loadstate-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-vl-loadstate-fix-2-forward-to-vl-loadstate-equiv

(defthm equal-of-vl-loadstate-fix-2-forward-to-vl-loadstate-equiv
  (implies (equal acl2::x (vl-loadstate-fix acl2::y))
           (vl-loadstate-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-loadstate-equiv-of-vl-loadstate-fix-1-forward

(defthm vl-loadstate-equiv-of-vl-loadstate-fix-1-forward
  (implies (vl-loadstate-equiv (vl-loadstate-fix acl2::x)
                               acl2::y)
           (vl-loadstate-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-loadstate-equiv-of-vl-loadstate-fix-2-forward

(defthm vl-loadstate-equiv-of-vl-loadstate-fix-2-forward
  (implies (vl-loadstate-equiv acl2::x (vl-loadstate-fix acl2::y))
           (vl-loadstate-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)