Fixing function for vl-portinfo structures.
(vl-portinfo-fix x) → new-x
Function:
(defun vl-portinfo-fix$inline (x) (declare (xargs :guard (vl-portinfo-p x))) (let ((__function__ 'vl-portinfo-fix)) (declare (ignorable __function__)) (mbe :logic (common-lisp::case (vl-portinfo-kind x) (:bad (cons :bad nil)) (:regular (b* ((portname (str-fix (std::prod-car (std::prod-car (std::prod-car (cdr x)))))) (port-dir (vl-maybe-direction-fix (std::prod-cdr (std::prod-car (std::prod-car (cdr x)))))) (conn-expr (vl-maybe-expr-fix (std::prod-car (std::prod-cdr (std::prod-car (cdr x)))))) (port-lhs (sv::lhs-fix (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))) (conn-svex (sv::svex-fix (std::prod-car (std::prod-car (std::prod-cdr (cdr x)))))) (port-size (pos-fix (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))) (replicatedp (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x))))) (interfacep (acl2::bool-fix (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x))))))) (cons :regular (std::prod-cons (std::prod-cons (std::prod-cons portname port-dir) (std::prod-cons conn-expr port-lhs)) (std::prod-cons (std::prod-cons conn-svex port-size) (std::prod-cons replicatedp interfacep))))))) :exec x)))
Theorem:
(defthm vl-portinfo-p-of-vl-portinfo-fix (b* ((new-x (vl-portinfo-fix$inline x))) (vl-portinfo-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm vl-portinfo-fix-when-vl-portinfo-p (implies (vl-portinfo-p x) (equal (vl-portinfo-fix x) x)))
Function:
(defun vl-portinfo-equiv$inline (acl2::x acl2::y) (declare (xargs :guard (and (vl-portinfo-p acl2::x) (vl-portinfo-p acl2::y)))) (equal (vl-portinfo-fix acl2::x) (vl-portinfo-fix acl2::y)))
Theorem:
(defthm vl-portinfo-equiv-is-an-equivalence (and (booleanp (vl-portinfo-equiv x y)) (vl-portinfo-equiv x x) (implies (vl-portinfo-equiv x y) (vl-portinfo-equiv y x)) (implies (and (vl-portinfo-equiv x y) (vl-portinfo-equiv y z)) (vl-portinfo-equiv x z))) :rule-classes (:equivalence))
Theorem:
(defthm vl-portinfo-equiv-implies-equal-vl-portinfo-fix-1 (implies (vl-portinfo-equiv acl2::x x-equiv) (equal (vl-portinfo-fix acl2::x) (vl-portinfo-fix x-equiv))) :rule-classes (:congruence))
Theorem:
(defthm vl-portinfo-fix-under-vl-portinfo-equiv (vl-portinfo-equiv (vl-portinfo-fix acl2::x) acl2::x) :rule-classes (:rewrite :rewrite-quoted-constant))
Theorem:
(defthm equal-of-vl-portinfo-fix-1-forward-to-vl-portinfo-equiv (implies (equal (vl-portinfo-fix acl2::x) acl2::y) (vl-portinfo-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm equal-of-vl-portinfo-fix-2-forward-to-vl-portinfo-equiv (implies (equal acl2::x (vl-portinfo-fix acl2::y)) (vl-portinfo-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-portinfo-equiv-of-vl-portinfo-fix-1-forward (implies (vl-portinfo-equiv (vl-portinfo-fix acl2::x) acl2::y) (vl-portinfo-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-portinfo-equiv-of-vl-portinfo-fix-2-forward (implies (vl-portinfo-equiv acl2::x (vl-portinfo-fix acl2::y)) (vl-portinfo-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-portinfo-kind$inline-of-vl-portinfo-fix-x (equal (vl-portinfo-kind$inline (vl-portinfo-fix x)) (vl-portinfo-kind$inline x)))
Theorem:
(defthm vl-portinfo-kind$inline-vl-portinfo-equiv-congruence-on-x (implies (vl-portinfo-equiv x x-equiv) (equal (vl-portinfo-kind$inline x) (vl-portinfo-kind$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm consp-of-vl-portinfo-fix (consp (vl-portinfo-fix x)) :rule-classes :type-prescription)