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• Vl-design

Vl-design-fix

Fixing function for vl-design structures.

Signature

(vl-design-fix x) → new-x

Arguments

x — Guard (vl-design-p x).

Returns

new-x — Type (vl-design-p new-x).

Definitions and Theorems

Function: vl-design-fix$inline

(defun vl-design-fix$inline (x)
 (declare (xargs :guard (vl-design-p x)))
 (let ((__function__ 'vl-design-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((version
      (vl-syntaxversion-fix
       (std::prod-car
          (std::prod-car (std::prod-car (std::prod-car (cdr x)))))))
     (mods
      (vl-modulelist-fix
       (std::prod-cdr
          (std::prod-car (std::prod-car (std::prod-car (cdr x)))))))
     (udps
      (vl-udplist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-car (std::prod-car (cdr x)))))))
     (interfaces
      (vl-interfacelist-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-car (std::prod-car (cdr x)))))))
     (programs
      (vl-programlist-fix
       (std::prod-car
          (std::prod-car (std::prod-cdr (std::prod-car (cdr x)))))))
     (packages
      (vl-packagelist-fix
       (std::prod-cdr
          (std::prod-car (std::prod-cdr (std::prod-car (cdr x)))))))
     (configs
      (vl-configlist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (vardecls
      (vl-vardecllist-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (taskdecls
      (vl-taskdecllist-fix
       (std::prod-car
          (std::prod-car (std::prod-car (std::prod-cdr (cdr x)))))))
     (fundecls
      (vl-fundecllist-fix
       (std::prod-cdr
          (std::prod-car (std::prod-car (std::prod-cdr (cdr x)))))))
     (paramdecls
      (vl-paramdecllist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (imports
      (vl-importlist-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (fwdtypes
      (vl-fwdtypedeflist-fix
       (std::prod-car
          (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (typedefs
      (vl-typedeflist-fix
       (std::prod-cdr
          (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (warnings
      (vl-warninglist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (comments
      (vl-commentmap-fix
       (std::prod-cdr
         (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x))))))))
    (cons
     :vl-design
     (std::prod-cons
        (std::prod-cons
             (std::prod-cons (std::prod-cons version mods)
                             (std::prod-cons udps interfaces))
             (std::prod-cons (std::prod-cons programs packages)
                             (std::prod-cons configs vardecls)))
        (std::prod-cons
             (std::prod-cons (std::prod-cons taskdecls fundecls)
                             (std::prod-cons paramdecls imports))
             (std::prod-cons (std::prod-cons fwdtypes typedefs)
                             (std::prod-cons warnings comments))))))
   :exec x)))

Theorem: vl-design-p-of-vl-design-fix

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

Theorem: vl-design-fix-when-vl-design-p

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

Function: vl-design-equiv$inline

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

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

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

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

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

Theorem: vl-design-fix-under-vl-design-equiv

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

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

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

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

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

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

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

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

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