Get the val-type field from a fty-type-alist.
(fty-type-alist->val-type x) → val-type
This is an ordinary field accessor created by defprod.
Function:
(defun fty-type-alist->val-type$inline (x) (declare (xargs :guard (fty-type-p x))) (declare (xargs :guard (equal (fty-type-kind x) :alist))) (let ((acl2::__function__ 'fty-type-alist->val-type)) (declare (ignorable acl2::__function__)) (mbe :logic (b* ((x (and (equal (fty-type-kind x) :alist) x))) (symbol-fix (std::da-nth 1 (cdr x)))) :exec (std::da-nth 1 (cdr x)))))
Theorem:
(defthm symbolp-of-fty-type-alist->val-type (b* ((val-type (fty-type-alist->val-type$inline x))) (symbolp val-type)) :rule-classes :rewrite)
Theorem:
(defthm fty-type-alist->val-type$inline-of-fty-type-fix-x (equal (fty-type-alist->val-type$inline (fty-type-fix x)) (fty-type-alist->val-type$inline x)))
Theorem:
(defthm fty-type-alist->val-type$inline-fty-type-equiv-congruence-on-x (implies (fty-type-equiv x x-equiv) (equal (fty-type-alist->val-type$inline x) (fty-type-alist->val-type$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm fty-type-alist->val-type-when-wrong-kind (implies (not (equal (fty-type-kind x) :alist)) (equal (fty-type-alist->val-type x) (symbol-fix nil))))