Get the get field from a string-element-char.
(string-element-char->get x) → get
This is an ordinary field accessor created by fty::defprod.
Function:
(defun string-element-char->get$inline (x) (declare (xargs :guard (string-elementp x))) (declare (xargs :guard (equal (string-element-kind x) :char))) (let ((__function__ 'string-element-char->get)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (string-element-kind x) :char) x))) (acl2::char-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm characterp-of-string-element-char->get (b* ((get (string-element-char->get$inline x))) (characterp get)) :rule-classes :rewrite)
Theorem:
(defthm string-element-char->get$inline-of-string-element-fix-x (equal (string-element-char->get$inline (string-element-fix x)) (string-element-char->get$inline x)))
Theorem:
(defthm string-element-char->get$inline-string-element-equiv-congruence-on-x (implies (string-element-equiv x x-equiv) (equal (string-element-char->get$inline x) (string-element-char->get$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm string-element-char->get-when-wrong-kind (implies (not (equal (string-element-kind x) :char)) (equal (string-element-char->get x) (acl2::char-fix nil))))