Get the get field from a nat/natlist-list.
(nat/natlist-list->get x) → get
This is an ordinary field accessor created by fty::defprod.
Function:
(defun nat/natlist-list->get$inline (x) (declare (xargs :guard (nat/natlist-p x))) (declare (xargs :guard (equal (nat/natlist-kind x) :list))) (let ((__function__ 'nat/natlist-list->get)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (nat/natlist-kind x) :list) x))) (nat-list-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm nat-listp-of-nat/natlist-list->get (b* ((get (nat/natlist-list->get$inline x))) (nat-listp get)) :rule-classes :rewrite)
Theorem:
(defthm nat/natlist-list->get$inline-of-nat/natlist-fix-x (equal (nat/natlist-list->get$inline (nat/natlist-fix x)) (nat/natlist-list->get$inline x)))
Theorem:
(defthm nat/natlist-list->get$inline-nat/natlist-equiv-congruence-on-x (implies (nat/natlist-equiv x x-equiv) (equal (nat/natlist-list->get$inline x) (nat/natlist-list->get$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm nat/natlist-list->get-when-wrong-kind (implies (not (equal (nat/natlist-kind x) :list)) (equal (nat/natlist-list->get x) (nat-list-fix nil))))