Lift expression-sum-field to lists of field names.
(expression-sum-field-list type target alternative x) → *
This is an ordinary std::defprojection.
Function:
(defun expression-sum-field-list-exec (type target alternative x acc) (declare (xargs :guard (and (identifierp type) (expressionp target) (identifierp alternative) (identifier-listp x)))) (declare (xargs :guard t)) (let ((__function__ 'expression-sum-field-list-exec)) (declare (ignorable __function__)) (if (consp x) (expression-sum-field-list-exec type target alternative (cdr x) (cons (expression-sum-field type target alternative (car x)) acc)) acc)))
Function:
(defun expression-sum-field-list-nrev (type target alternative x acl2::nrev) (declare (xargs :stobjs (acl2::nrev))) (declare (xargs :guard (and (identifierp type) (expressionp target) (identifierp alternative) (identifier-listp x)))) (declare (xargs :guard t)) (let ((__function__ 'expression-sum-field-list-nrev)) (declare (ignorable __function__)) (if (atom x) (acl2::nrev-fix acl2::nrev) (let ((acl2::nrev (acl2::nrev-push (expression-sum-field type target alternative (car x)) acl2::nrev))) (expression-sum-field-list-nrev type target alternative (cdr x) acl2::nrev)))))
Function:
(defun expression-sum-field-list (type target alternative x) (declare (xargs :guard (and (identifierp type) (expressionp target) (identifierp alternative) (identifier-listp x)))) (declare (xargs :guard t)) (let ((__function__ 'expression-sum-field-list)) (declare (ignorable __function__)) (mbe :logic (if (consp x) (cons (expression-sum-field type target alternative (car x)) (expression-sum-field-list type target alternative (cdr x))) nil) :exec (if (atom x) nil (acl2::with-local-nrev (expression-sum-field-list-nrev type target alternative x acl2::nrev))))))
Theorem:
(defthm nth-of-expression-sum-field-list (equal (nth acl2::n (expression-sum-field-list type target alternative acl2::x)) (and (< (nfix acl2::n) (len acl2::x)) (expression-sum-field type target alternative (nth acl2::n acl2::x)))) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-sum-field-list-nrev-removal (equal (expression-sum-field-list-nrev type target alternative acl2::x acl2::nrev) (append acl2::nrev (expression-sum-field-list type target alternative acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-sum-field-list-exec-removal (equal (expression-sum-field-list-exec type target alternative acl2::x acl2::acc) (revappend (expression-sum-field-list type target alternative acl2::x) acl2::acc)) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-sum-field-list-of-rev (equal (expression-sum-field-list type target alternative (rev acl2::x)) (rev (expression-sum-field-list type target alternative acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-sum-field-list-of-list-fix (equal (expression-sum-field-list type target alternative (list-fix acl2::x)) (expression-sum-field-list type target alternative acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-sum-field-list-of-append (equal (expression-sum-field-list type target alternative (append acl2::a acl2::b)) (append (expression-sum-field-list type target alternative acl2::a) (expression-sum-field-list type target alternative acl2::b))) :rule-classes ((:rewrite)))
Theorem:
(defthm cdr-of-expression-sum-field-list (equal (cdr (expression-sum-field-list type target alternative acl2::x)) (expression-sum-field-list type target alternative (cdr acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm car-of-expression-sum-field-list (equal (car (expression-sum-field-list type target alternative acl2::x)) (and (consp acl2::x) (expression-sum-field type target alternative (car acl2::x)))) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-sum-field-list-under-iff (iff (expression-sum-field-list type target alternative acl2::x) (consp acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm consp-of-expression-sum-field-list (equal (consp (expression-sum-field-list type target alternative acl2::x)) (consp acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm len-of-expression-sum-field-list (equal (len (expression-sum-field-list type target alternative acl2::x)) (len acl2::x)) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-of-expression-sum-field-list (true-listp (expression-sum-field-list type target alternative acl2::x)) :rule-classes :type-prescription)
Theorem:
(defthm expression-sum-field-list-when-not-consp (implies (not (consp acl2::x)) (equal (expression-sum-field-list type target alternative acl2::x) nil)) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-sum-field-list-of-cons (equal (expression-sum-field-list type target alternative (cons acl2::a acl2::b)) (cons (expression-sum-field type target alternative acl2::a) (expression-sum-field-list type target alternative acl2::b))) :rule-classes ((:rewrite)))
Theorem:
(defthm expression-listp-of-expression-sum-field-list (expression-listp (expression-sum-field-list type target alternative x)))
Theorem:
(defthm expression-sum-field-list-of-identifier-fix-type (equal (expression-sum-field-list (identifier-fix type) target alternative x) (expression-sum-field-list type target alternative x)))
Theorem:
(defthm expression-sum-field-list-identifier-equiv-congruence-on-type (implies (identifier-equiv type type-equiv) (equal (expression-sum-field-list type target alternative x) (expression-sum-field-list type-equiv target alternative x))) :rule-classes :congruence)
Theorem:
(defthm expression-sum-field-list-of-expression-fix-target (equal (expression-sum-field-list type (expression-fix target) alternative x) (expression-sum-field-list type target alternative x)))
Theorem:
(defthm expression-sum-field-list-expression-equiv-congruence-on-target (implies (expression-equiv target target-equiv) (equal (expression-sum-field-list type target alternative x) (expression-sum-field-list type target-equiv alternative x))) :rule-classes :congruence)
Theorem:
(defthm expression-sum-field-list-of-identifier-fix-alternative (equal (expression-sum-field-list type target (identifier-fix alternative) x) (expression-sum-field-list type target alternative x)))
Theorem:
(defthm expression-sum-field-list-identifier-equiv-congruence-on-alternative (implies (identifier-equiv alternative alternative-equiv) (equal (expression-sum-field-list type target alternative x) (expression-sum-field-list type target alternative-equiv x))) :rule-classes :congruence)
Theorem:
(defthm expression-sum-field-list-of-identifier-list-fix-x (equal (expression-sum-field-list type target alternative (identifier-list-fix x)) (expression-sum-field-list type target alternative x)))
Theorem:
(defthm expression-sum-field-list-identifier-list-equiv-congruence-on-x (implies (identifier-list-equiv x x-equiv) (equal (expression-sum-field-list type target alternative x) (expression-sum-field-list type target alternative x-equiv))) :rule-classes :congruence)