Get the get field from a num-val-direct.
This is an ordinary field accessor created by fty::defprod.
Function:
(defun num-val-direct->get$inline (x) (declare (xargs :guard (num-val-p x))) (declare (xargs :guard (equal (num-val-kind x) :direct))) (let ((__function__ 'num-val-direct->get)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (num-val-kind x) :direct) x))) (nat-list-fix (std::da-nth 1 (cdr x)))) :exec (std::da-nth 1 (cdr x)))))
Theorem:
(defthm nat-listp-of-num-val-direct->get (b* ((get (num-val-direct->get$inline x))) (nat-listp get)) :rule-classes :rewrite)
Theorem:
(defthm num-val-direct->get$inline-of-num-val-fix-x (equal (num-val-direct->get$inline (num-val-fix x)) (num-val-direct->get$inline x)))
Theorem:
(defthm num-val-direct->get$inline-num-val-equiv-congruence-on-x (implies (num-val-equiv x x-equiv) (equal (num-val-direct->get$inline x) (num-val-direct->get$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm num-val-direct->get-when-wrong-kind (implies (not (equal (num-val-kind x) :direct)) (equal (num-val-direct->get x) (nat-list-fix nil))))