Recognizer for vl-keyvallist.
(vl-keyvallist-p x) → *
Theorem:
(defthm vl-keyvallist-p-of-nthcdr (implies (vl-keyvallist-p (double-rewrite acl2::x)) (vl-keyvallist-p (nthcdr acl2::n acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-repeat (iff (vl-keyvallist-p (repeat acl2::n acl2::x)) (or (and (consp acl2::x) (vl-patternkey-p (car acl2::x)) (vl-expr-p (cdr acl2::x))) (zp acl2::n))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-take (implies (vl-keyvallist-p (double-rewrite acl2::x)) (iff (vl-keyvallist-p (take acl2::n acl2::x)) (or (and (consp nil) (vl-patternkey-p (car nil)) (vl-expr-p (cdr nil))) (<= (nfix acl2::n) (len acl2::x))))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-rev (equal (vl-keyvallist-p (rev acl2::x)) (vl-keyvallist-p (list-fix acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-list-fix (equal (vl-keyvallist-p (list-fix acl2::x)) (vl-keyvallist-p acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-append (equal (vl-keyvallist-p (append acl2::a acl2::b)) (and (vl-keyvallist-p acl2::a) (vl-keyvallist-p acl2::b))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-when-not-consp (implies (not (consp acl2::x)) (vl-keyvallist-p acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-cdr-when-vl-keyvallist-p (implies (vl-keyvallist-p (double-rewrite acl2::x)) (vl-keyvallist-p (cdr acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-cons (equal (vl-keyvallist-p (cons acl2::a acl2::x)) (and (and (consp acl2::a) (vl-patternkey-p (car acl2::a)) (vl-expr-p (cdr acl2::a))) (vl-keyvallist-p acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-fast-alist-clean (implies (vl-keyvallist-p acl2::x) (vl-keyvallist-p (fast-alist-clean acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-hons-shrink-alist (implies (and (vl-keyvallist-p acl2::x) (vl-keyvallist-p acl2::y)) (vl-keyvallist-p (hons-shrink-alist acl2::x acl2::y))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-keyvallist-p-of-hons-acons (equal (vl-keyvallist-p (hons-acons acl2::a acl2::n acl2::x)) (and (vl-patternkey-p acl2::a) (vl-expr-p acl2::n) (vl-keyvallist-p acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-expr-p-of-cdr-of-hons-assoc-equal-when-vl-keyvallist-p (implies (vl-keyvallist-p acl2::x) (iff (vl-expr-p (cdr (hons-assoc-equal acl2::k acl2::x))) (or (hons-assoc-equal acl2::k acl2::x) (vl-expr-p nil)))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-expr-p-of-cdar-when-vl-keyvallist-p (implies (vl-keyvallist-p acl2::x) (iff (vl-expr-p (cdar acl2::x)) (or (consp acl2::x) (vl-expr-p nil)))) :rule-classes ((:rewrite)))
Theorem:
(defthm vl-patternkey-p-of-caar-when-vl-keyvallist-p (implies (vl-keyvallist-p acl2::x) (iff (vl-patternkey-p (caar acl2::x)) (or (consp acl2::x) (vl-patternkey-p nil)))) :rule-classes ((:rewrite)))