(vl-make-same-bitselect-from-each x index) maps vl-make-bitselect across a list.
(vl-make-same-bitselect-from-each x index) → *
This is an ordinary defprojection.
Function:
(defun vl-make-same-bitselect-from-each-exec (x index acc) (declare (xargs :guard (and (vl-exprlist-p x) (natp index)))) (let ((__function__ 'vl-make-same-bitselect-from-each-exec)) (declare (ignorable __function__)) (if (consp x) (vl-make-same-bitselect-from-each-exec (cdr x) index (cons (vl-make-bitselect (car x) index) acc)) acc)))
Function:
(defun vl-make-same-bitselect-from-each-nrev (x index nrev) (declare (xargs :stobjs (nrev))) (declare (xargs :guard (and (vl-exprlist-p x) (natp index)))) (let ((__function__ 'vl-make-same-bitselect-from-each-nrev)) (declare (ignorable __function__)) (if (atom x) (nrev-fix nrev) (let ((nrev (nrev-push (vl-make-bitselect (car x) index) nrev))) (vl-make-same-bitselect-from-each-nrev (cdr x) index nrev)))))
Function:
(defun vl-make-same-bitselect-from-each (x index) (declare (xargs :guard (and (vl-exprlist-p x) (natp index)))) (let ((__function__ 'vl-make-same-bitselect-from-each)) (declare (ignorable __function__)) (mbe :logic (if (consp x) (cons (vl-make-bitselect (car x) index) (vl-make-same-bitselect-from-each (cdr x) index)) nil) :exec (if (atom x) nil (with-local-nrev (vl-make-same-bitselect-from-each-nrev x index nrev))))))
Theorem:
(defthm vl-make-same-bitselect-from-each-of-update-nth (implies (<= (nfix acl2::n) (len acl2::x)) (equal (vl-make-same-bitselect-from-each (update-nth acl2::n acl2::v acl2::x) index) (update-nth acl2::n (vl-make-bitselect acl2::v index) (vl-make-same-bitselect-from-each acl2::x index)))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-of-revappend (equal (vl-make-same-bitselect-from-each (revappend acl2::x acl2::y) index) (revappend (vl-make-same-bitselect-from-each acl2::x index) (vl-make-same-bitselect-from-each acl2::y index))) :rule-classes ((:rewrite)))
Theorem:
(defthm nthcdr-of-vl-make-same-bitselect-from-each (equal (nthcdr acl2::n (vl-make-same-bitselect-from-each acl2::x index)) (vl-make-same-bitselect-from-each (nthcdr acl2::n acl2::x) index)) :rule-classes ((:rewrite)))
Theorem:
(defthm nth-of-vl-make-same-bitselect-from-each (equal (nth acl2::n (vl-make-same-bitselect-from-each acl2::x index)) (and (< (nfix acl2::n) (len acl2::x)) (vl-make-bitselect (nth acl2::n acl2::x) index))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-nrev-removal (equal (vl-make-same-bitselect-from-each-nrev acl2::x index nrev) (append nrev (vl-make-same-bitselect-from-each acl2::x index))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-exec-removal (equal (vl-make-same-bitselect-from-each-exec acl2::x index acl2::acc) (revappend (vl-make-same-bitselect-from-each acl2::x index) acl2::acc)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-of-take (implies (<= (nfix acl2::n) (len acl2::x)) (equal (vl-make-same-bitselect-from-each (take acl2::n acl2::x) index) (take acl2::n (vl-make-same-bitselect-from-each acl2::x index)))) :rule-classes ((:rewrite)))
Theorem:
(defthm set-equiv-congruence-over-vl-make-same-bitselect-from-each (implies (set-equiv acl2::x acl2::y) (set-equiv (vl-make-same-bitselect-from-each acl2::x index) (vl-make-same-bitselect-from-each acl2::y index))) :rule-classes ((:congruence)))
Theorem:
(defthm subsetp-of-vl-make-same-bitselect-from-each-when-subsetp (implies (subsetp acl2::x acl2::y) (subsetp (vl-make-same-bitselect-from-each acl2::x index) (vl-make-same-bitselect-from-each acl2::y index))) :rule-classes ((:rewrite)))
Theorem:
(defthm member-of-vl-make-bitselect-in-vl-make-same-bitselect-from-each (implies (member acl2::k acl2::x) (member (vl-make-bitselect acl2::k index) (vl-make-same-bitselect-from-each acl2::x index))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-of-rev (equal (vl-make-same-bitselect-from-each (rev acl2::x) index) (rev (vl-make-same-bitselect-from-each acl2::x index))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-of-list-fix (equal (vl-make-same-bitselect-from-each (list-fix acl2::x) index) (vl-make-same-bitselect-from-each acl2::x index)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-of-append (equal (vl-make-same-bitselect-from-each (append acl2::a acl2::b) index) (append (vl-make-same-bitselect-from-each acl2::a index) (vl-make-same-bitselect-from-each acl2::b index))) :rule-classes ((:rewrite)))
Theorem:
(defthm cdr-of-vl-make-same-bitselect-from-each (equal (cdr (vl-make-same-bitselect-from-each acl2::x index)) (vl-make-same-bitselect-from-each (cdr acl2::x) index)) :rule-classes ((:rewrite)))
Theorem:
(defthm car-of-vl-make-same-bitselect-from-each (equal (car (vl-make-same-bitselect-from-each acl2::x index)) (and (consp acl2::x) (vl-make-bitselect (car acl2::x) index))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-under-iff (iff (vl-make-same-bitselect-from-each acl2::x index) (consp acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm consp-of-vl-make-same-bitselect-from-each (equal (consp (vl-make-same-bitselect-from-each acl2::x index)) (consp acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm len-of-vl-make-same-bitselect-from-each (equal (len (vl-make-same-bitselect-from-each acl2::x index)) (len acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-of-vl-make-same-bitselect-from-each (true-listp (vl-make-same-bitselect-from-each acl2::x index)) :rule-classes :type-prescription)
Theorem:
(defthm vl-make-same-bitselect-from-each-when-not-consp (implies (not (consp acl2::x)) (equal (vl-make-same-bitselect-from-each acl2::x index) nil)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-make-same-bitselect-from-each-of-cons (equal (vl-make-same-bitselect-from-each (cons acl2::a acl2::b) index) (cons (vl-make-bitselect acl2::a index) (vl-make-same-bitselect-from-each acl2::b index))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-exprlist-p-of-vl-make-same-bitselect-from-each (implies (force (vl-exprlist-p x)) (vl-exprlist-p (vl-make-same-bitselect-from-each x index))))
Theorem:
(defthm vl-exprlist->finalwidths-of-vl-make-same-bitselect-from-each (equal (vl-exprlist->finalwidths (vl-make-same-bitselect-from-each x index)) (replicate (len x) 1)))
Theorem:
(defthm vl-exprlist->finaltypes-of-vl-make-same-bitselect-from-each (equal (vl-exprlist->finaltypes (vl-make-same-bitselect-from-each x index)) (replicate (len x) :vl-unsigned)))