Fixing function for vl-paramtype structures.
(vl-paramtype-fix x) → new-x
Function:
(defun vl-paramtype-fix$inline (x) (declare (xargs :guard (vl-paramtype-p x))) (let ((__function__ 'vl-paramtype-fix)) (declare (ignorable __function__)) (mbe :logic (common-lisp::case (vl-paramtype-kind x) (:vl-implicitvalueparam (b* ((range (vl-maybe-range-fix (std::prod-car (cdr x)))) (sign (vl-maybe-exprsign-fix (std::prod-car (std::prod-cdr (cdr x))))) (default (vl-maybe-expr-fix (std::prod-cdr (std::prod-cdr (cdr x)))))) (cons :vl-implicitvalueparam (std::prod-cons range (std::prod-cons sign default))))) (:vl-explicitvalueparam (b* ((type (vl-datatype-fix (std::prod-car (cdr x)))) (default (vl-maybe-expr-fix (std::prod-car (std::prod-cdr (cdr x))))) (final-value (sv::maybe-4vec-fix (std::prod-cdr (std::prod-cdr (cdr x)))))) (cons :vl-explicitvalueparam (std::prod-cons type (std::prod-cons default final-value))))) (:vl-typeparam (b* ((default (vl-maybe-datatype-fix (cdr x)))) (cons :vl-typeparam default)))) :exec x)))
Theorem:
(defthm vl-paramtype-p-of-vl-paramtype-fix (b* ((new-x (vl-paramtype-fix$inline x))) (vl-paramtype-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm vl-paramtype-fix-when-vl-paramtype-p (implies (vl-paramtype-p x) (equal (vl-paramtype-fix x) x)))
Function:
(defun vl-paramtype-equiv$inline (acl2::x acl2::y) (declare (xargs :guard (and (vl-paramtype-p acl2::x) (vl-paramtype-p acl2::y)))) (equal (vl-paramtype-fix acl2::x) (vl-paramtype-fix acl2::y)))
Theorem:
(defthm vl-paramtype-equiv-is-an-equivalence (and (booleanp (vl-paramtype-equiv x y)) (vl-paramtype-equiv x x) (implies (vl-paramtype-equiv x y) (vl-paramtype-equiv y x)) (implies (and (vl-paramtype-equiv x y) (vl-paramtype-equiv y z)) (vl-paramtype-equiv x z))) :rule-classes (:equivalence))
Theorem:
(defthm vl-paramtype-equiv-implies-equal-vl-paramtype-fix-1 (implies (vl-paramtype-equiv acl2::x x-equiv) (equal (vl-paramtype-fix acl2::x) (vl-paramtype-fix x-equiv))) :rule-classes (:congruence))
Theorem:
(defthm vl-paramtype-fix-under-vl-paramtype-equiv (vl-paramtype-equiv (vl-paramtype-fix acl2::x) acl2::x) :rule-classes (:rewrite :rewrite-quoted-constant))
Theorem:
(defthm equal-of-vl-paramtype-fix-1-forward-to-vl-paramtype-equiv (implies (equal (vl-paramtype-fix acl2::x) acl2::y) (vl-paramtype-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm equal-of-vl-paramtype-fix-2-forward-to-vl-paramtype-equiv (implies (equal acl2::x (vl-paramtype-fix acl2::y)) (vl-paramtype-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-paramtype-equiv-of-vl-paramtype-fix-1-forward (implies (vl-paramtype-equiv (vl-paramtype-fix acl2::x) acl2::y) (vl-paramtype-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-paramtype-equiv-of-vl-paramtype-fix-2-forward (implies (vl-paramtype-equiv acl2::x (vl-paramtype-fix acl2::y)) (vl-paramtype-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm vl-paramtype-kind$inline-of-vl-paramtype-fix-x (equal (vl-paramtype-kind$inline (vl-paramtype-fix x)) (vl-paramtype-kind$inline x)))
Theorem:
(defthm vl-paramtype-kind$inline-vl-paramtype-equiv-congruence-on-x (implies (vl-paramtype-equiv x x-equiv) (equal (vl-paramtype-kind$inline x) (vl-paramtype-kind$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm consp-of-vl-paramtype-fix (consp (vl-paramtype-fix x)) :rule-classes :type-prescription)