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