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