Fixing function for vl-saved-ppst structures.
(vl-saved-ppst-fix x) → new-x
Function:
(defun vl-saved-ppst-fix$inline (x) (declare (xargs :guard (vl-saved-ppst-p x))) (let ((__function__ 'vl-saved-ppst-fix)) (declare (ignorable __function__)) (mbe :logic (b* ((acc (vl-echarlist-fix (std::prod-car (std::prod-car (std::prod-car (cdr x)))))) (istack (vl-istack-fix (std::prod-car (std::prod-cdr (std::prod-car (std::prod-car (cdr x))))))) (activep (acl2::bool-fix (std::prod-cdr (std::prod-cdr (std::prod-car (std::prod-car (cdr x))))))) (defines (vl-defines-fix (std::prod-car (std::prod-cdr (std::prod-car (cdr x))))) ) (filemap (vl-filemap-fix (std::prod-car (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x))))))) (config (vl-loadconfig-fix (std::prod-cdr (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x))))))) (iskips (vl-includeskips-fix (std::prod-car (std::prod-car (std::prod-cdr (cdr x)))))) (warnings (vl-warninglist-fix (std::prod-car (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x))))))) (includes (string-list-fix (std::prod-cdr (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x))))))) (bytes (nfix (std::prod-car (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x))))))) (idcache (vl-dirlist-cache-fix (std::prod-cdr (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x))))))) (ifdefmap (vl-ifdef-use-map-fix (std::prod-car (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x))))))) (defmap (vl-def-use-map-fix (std::prod-cdr (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x)))))))) (cons :vl-saved-ppst (std::prod-cons (std::prod-cons (std::prod-cons acc (std::prod-cons istack activep)) (std::prod-cons defines (std::prod-cons filemap config))) (std::prod-cons (std::prod-cons iskips (std::prod-cons warnings includes)) (std::prod-cons (std::prod-cons bytes idcache) (std::prod-cons ifdefmap defmap)))))) :exec x)))
Theorem:
(defthm vl-saved-ppst-p-of-vl-saved-ppst-fix (b* ((new-x (vl-saved-ppst-fix$inline x))) (vl-saved-ppst-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm vl-saved-ppst-fix-when-vl-saved-ppst-p (implies (vl-saved-ppst-p x) (equal (vl-saved-ppst-fix x) x)))
Function:
(defun vl-saved-ppst-equiv$inline (acl2::x acl2::y) (declare (xargs :guard (and (vl-saved-ppst-p acl2::x) (vl-saved-ppst-p acl2::y)))) (equal (vl-saved-ppst-fix acl2::x) (vl-saved-ppst-fix acl2::y)))
Theorem:
(defthm vl-saved-ppst-equiv-is-an-equivalence (and (booleanp (vl-saved-ppst-equiv x y)) (vl-saved-ppst-equiv x x) (implies (vl-saved-ppst-equiv x y) (vl-saved-ppst-equiv y x)) (implies (and (vl-saved-ppst-equiv x y) (vl-saved-ppst-equiv y z)) (vl-saved-ppst-equiv x z))) :rule-classes (:equivalence))
Theorem:
(defthm vl-saved-ppst-equiv-implies-equal-vl-saved-ppst-fix-1 (implies (vl-saved-ppst-equiv acl2::x x-equiv) (equal (vl-saved-ppst-fix acl2::x) (vl-saved-ppst-fix x-equiv))) :rule-classes (:congruence))
Theorem:
(defthm vl-saved-ppst-fix-under-vl-saved-ppst-equiv (vl-saved-ppst-equiv (vl-saved-ppst-fix acl2::x) acl2::x) :rule-classes (:rewrite :rewrite-quoted-constant))
Theorem:
(defthm equal-of-vl-saved-ppst-fix-1-forward-to-vl-saved-ppst-equiv (implies (equal (vl-saved-ppst-fix acl2::x) acl2::y) (vl-saved-ppst-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm equal-of-vl-saved-ppst-fix-2-forward-to-vl-saved-ppst-equiv (implies (equal acl2::x (vl-saved-ppst-fix acl2::y)) (vl-saved-ppst-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-saved-ppst-equiv-of-vl-saved-ppst-fix-1-forward (implies (vl-saved-ppst-equiv (vl-saved-ppst-fix acl2::x) acl2::y) (vl-saved-ppst-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-saved-ppst-equiv-of-vl-saved-ppst-fix-2-forward (implies (vl-saved-ppst-equiv acl2::x (vl-saved-ppst-fix acl2::y)) (vl-saved-ppst-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)