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