Fixing function for vl-typedef structures.
(vl-typedef-fix x) → new-x
Function:
(defun vl-typedef-fix$inline (x) (declare (xargs :guard (vl-typedef-p x))) (let ((__function__ 'vl-typedef-fix)) (declare (ignorable __function__)) (mbe :logic (b* ((name (str-fix (cdr (std::da-nth 0 (cdr x))))) (type (vl-datatype-fix (cdr (std::da-nth 1 (cdr x))))) (minloc (vl-location-fix (cdr (std::da-nth 2 (cdr x))))) (maxloc (vl-location-fix (cdr (std::da-nth 3 (cdr x))))) (atts (vl-atts-fix (cdr (std::da-nth 4 (cdr x))))) (warnings (vl-warninglist-fix (cdr (std::da-nth 5 (cdr x))))) (comments (vl-commentmap-fix (cdr (std::da-nth 6 (cdr x)))))) (cons :vl-typedef (list (cons 'name name) (cons 'type type) (cons 'minloc minloc) (cons 'maxloc maxloc) (cons 'atts atts) (cons 'warnings warnings) (cons 'comments comments)))) :exec x)))
Theorem:
(defthm vl-typedef-p-of-vl-typedef-fix (b* ((new-x (vl-typedef-fix$inline x))) (vl-typedef-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm vl-typedef-fix-when-vl-typedef-p (implies (vl-typedef-p x) (equal (vl-typedef-fix x) x)))
Function:
(defun vl-typedef-equiv$inline (acl2::x acl2::y) (declare (xargs :guard (and (vl-typedef-p acl2::x) (vl-typedef-p acl2::y)))) (equal (vl-typedef-fix acl2::x) (vl-typedef-fix acl2::y)))
Theorem:
(defthm vl-typedef-equiv-is-an-equivalence (and (booleanp (vl-typedef-equiv x y)) (vl-typedef-equiv x x) (implies (vl-typedef-equiv x y) (vl-typedef-equiv y x)) (implies (and (vl-typedef-equiv x y) (vl-typedef-equiv y z)) (vl-typedef-equiv x z))) :rule-classes (:equivalence))
Theorem:
(defthm vl-typedef-equiv-implies-equal-vl-typedef-fix-1 (implies (vl-typedef-equiv acl2::x x-equiv) (equal (vl-typedef-fix acl2::x) (vl-typedef-fix x-equiv))) :rule-classes (:congruence))
Theorem:
(defthm vl-typedef-fix-under-vl-typedef-equiv (vl-typedef-equiv (vl-typedef-fix acl2::x) acl2::x) :rule-classes (:rewrite :rewrite-quoted-constant))
Theorem:
(defthm equal-of-vl-typedef-fix-1-forward-to-vl-typedef-equiv (implies (equal (vl-typedef-fix acl2::x) acl2::y) (vl-typedef-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm equal-of-vl-typedef-fix-2-forward-to-vl-typedef-equiv (implies (equal acl2::x (vl-typedef-fix acl2::y)) (vl-typedef-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-typedef-equiv-of-vl-typedef-fix-1-forward (implies (vl-typedef-equiv (vl-typedef-fix acl2::x) acl2::y) (vl-typedef-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-typedef-equiv-of-vl-typedef-fix-2-forward (implies (vl-typedef-equiv acl2::x (vl-typedef-fix acl2::y)) (vl-typedef-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)