(vl-modulelist-elim-useless-params x map) maps vl-module-elim-useless-params across a list.
(vl-modulelist-elim-useless-params x map) → *
This is an ordinary defprojection.
Function:
(defun vl-modulelist-elim-useless-params-exec (x map acc) (declare (xargs :guard (and (vl-modulelist-p x) (vl-useless-params-map-p map)))) (let ((__function__ 'vl-modulelist-elim-useless-params-exec)) (declare (ignorable __function__)) (if (consp x) (vl-modulelist-elim-useless-params-exec (cdr x) map (cons (vl-module-elim-useless-params (car x) map) acc)) acc)))
Function:
(defun vl-modulelist-elim-useless-params-nrev (x map nrev) (declare (xargs :stobjs (nrev))) (declare (xargs :guard (and (vl-modulelist-p x) (vl-useless-params-map-p map)))) (let ((__function__ 'vl-modulelist-elim-useless-params-nrev)) (declare (ignorable __function__)) (if (atom x) (nrev-fix nrev) (let ((nrev (nrev-push (vl-module-elim-useless-params (car x) map) nrev))) (vl-modulelist-elim-useless-params-nrev (cdr x) map nrev)))))
Function:
(defun vl-modulelist-elim-useless-params (x map) (declare (xargs :guard (and (vl-modulelist-p x) (vl-useless-params-map-p map)))) (let ((__function__ 'vl-modulelist-elim-useless-params)) (declare (ignorable __function__)) (mbe :logic (if (consp x) (cons (vl-module-elim-useless-params (car x) map) (vl-modulelist-elim-useless-params (cdr x) map)) nil) :exec (if (atom x) nil (with-local-nrev (vl-modulelist-elim-useless-params-nrev x map nrev))))))
Theorem:
(defthm vl-modulelist-elim-useless-params-of-update-nth (implies (<= (nfix acl2::n) (len acl2::x)) (equal (vl-modulelist-elim-useless-params (update-nth acl2::n acl2::v acl2::x) map) (update-nth acl2::n (vl-module-elim-useless-params acl2::v map) (vl-modulelist-elim-useless-params acl2::x map)))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-of-revappend (equal (vl-modulelist-elim-useless-params (revappend acl2::x acl2::y) map) (revappend (vl-modulelist-elim-useless-params acl2::x map) (vl-modulelist-elim-useless-params acl2::y map))) :rule-classes ((:rewrite)))
Theorem:
(defthm nthcdr-of-vl-modulelist-elim-useless-params (equal (nthcdr acl2::n (vl-modulelist-elim-useless-params acl2::x map)) (vl-modulelist-elim-useless-params (nthcdr acl2::n acl2::x) map)) :rule-classes ((:rewrite)))
Theorem:
(defthm nth-of-vl-modulelist-elim-useless-params (equal (nth acl2::n (vl-modulelist-elim-useless-params acl2::x map)) (and (< (nfix acl2::n) (len acl2::x)) (vl-module-elim-useless-params (nth acl2::n acl2::x) map))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-nrev-removal (equal (vl-modulelist-elim-useless-params-nrev acl2::x map nrev) (append nrev (vl-modulelist-elim-useless-params acl2::x map))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-exec-removal (equal (vl-modulelist-elim-useless-params-exec acl2::x map acl2::acc) (revappend (vl-modulelist-elim-useless-params acl2::x map) acl2::acc)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-of-take (implies (<= (nfix acl2::n) (len acl2::x)) (equal (vl-modulelist-elim-useless-params (take acl2::n acl2::x) map) (take acl2::n (vl-modulelist-elim-useless-params acl2::x map)))) :rule-classes ((:rewrite)))
Theorem:
(defthm set-equiv-congruence-over-vl-modulelist-elim-useless-params (implies (set-equiv acl2::x acl2::y) (set-equiv (vl-modulelist-elim-useless-params acl2::x map) (vl-modulelist-elim-useless-params acl2::y map))) :rule-classes ((:congruence)))
Theorem:
(defthm subsetp-of-vl-modulelist-elim-useless-params-when-subsetp (implies (subsetp acl2::x acl2::y) (subsetp (vl-modulelist-elim-useless-params acl2::x map) (vl-modulelist-elim-useless-params acl2::y map))) :rule-classes ((:rewrite)))
Theorem:
(defthm member-of-vl-module-elim-useless-params-in-vl-modulelist-elim-useless-params (implies (member acl2::k acl2::x) (member (vl-module-elim-useless-params acl2::k map) (vl-modulelist-elim-useless-params acl2::x map))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-of-rev (equal (vl-modulelist-elim-useless-params (rev acl2::x) map) (rev (vl-modulelist-elim-useless-params acl2::x map))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-of-list-fix (equal (vl-modulelist-elim-useless-params (list-fix acl2::x) map) (vl-modulelist-elim-useless-params acl2::x map)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-of-append (equal (vl-modulelist-elim-useless-params (append acl2::a acl2::b) map) (append (vl-modulelist-elim-useless-params acl2::a map) (vl-modulelist-elim-useless-params acl2::b map))) :rule-classes ((:rewrite)))
Theorem:
(defthm cdr-of-vl-modulelist-elim-useless-params (equal (cdr (vl-modulelist-elim-useless-params acl2::x map)) (vl-modulelist-elim-useless-params (cdr acl2::x) map)) :rule-classes ((:rewrite)))
Theorem:
(defthm car-of-vl-modulelist-elim-useless-params (equal (car (vl-modulelist-elim-useless-params acl2::x map)) (and (consp acl2::x) (vl-module-elim-useless-params (car acl2::x) map))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-under-iff (iff (vl-modulelist-elim-useless-params acl2::x map) (consp acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm consp-of-vl-modulelist-elim-useless-params (equal (consp (vl-modulelist-elim-useless-params acl2::x map)) (consp acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm len-of-vl-modulelist-elim-useless-params (equal (len (vl-modulelist-elim-useless-params acl2::x map)) (len acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-of-vl-modulelist-elim-useless-params (true-listp (vl-modulelist-elim-useless-params acl2::x map)) :rule-classes :type-prescription)
Theorem:
(defthm vl-modulelist-elim-useless-params-when-not-consp (implies (not (consp acl2::x)) (equal (vl-modulelist-elim-useless-params acl2::x map) nil)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-elim-useless-params-of-cons (equal (vl-modulelist-elim-useless-params (cons acl2::a acl2::b) map) (cons (vl-module-elim-useless-params acl2::a map) (vl-modulelist-elim-useless-params acl2::b map))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-modulelist-p-of-vl-modulelist-elim-useless-params (implies (force (and (vl-modulelist-p x) (vl-useless-params-map-p map))) (vl-modulelist-p (vl-modulelist-elim-useless-params x map))))