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