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Vl-propport

Vl-propport-fix

Fixing function for vl-propport structures.

Signature
(vl-propport-fix x) → new-x
Arguments: x — Guard (vl-propport-p x).
Returns: new-x — Type (vl-propport-p new-x).

Definitions and Theorems

Function: vl-propport-fix$inline

(defun vl-propport-fix$inline (x)
 (declare (xargs :guard (vl-propport-p x)))
 (let ((__function__ 'vl-propport-fix))
   (declare (ignorable __function__))
   (mbe :logic
        (b* ((name (str-fix (cdr (std::da-nth 0 (cdr x)))))
             (localp (acl2::bool-fix (cdr (std::da-nth 1 (cdr x)))))
             (dir (vl-direction-fix (cdr (std::da-nth 2 (cdr x)))))
             (type (vl-datatype-fix (cdr (std::da-nth 3 (cdr x)))))
             (arg (vl-propactual-fix (cdr (std::da-nth 4 (cdr x)))))
             (atts (vl-atts-fix (cdr (std::da-nth 5 (cdr x)))))
             (loc (vl-location-fix (cdr (std::da-nth 6 (cdr x))))))
          (cons :vl-propport (list (cons 'name name)
                                   (cons 'localp localp)
                                   (cons 'dir dir)
                                   (cons 'type type)
                                   (cons 'arg arg)
                                   (cons 'atts atts)
                                   (cons 'loc loc))))
        :exec x)))

Theorem: vl-propport-p-of-vl-propport-fix

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

Theorem: vl-propport-fix-when-vl-propport-p

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

Function: vl-propport-equiv$inline

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

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

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

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

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

Theorem: vl-propport-fix-under-vl-propport-equiv

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

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

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

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

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

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

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

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

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