Function:
(defun uri-cst-%x30-35-nat (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (uri-cst-matchp cst "%x30-35"))) (let ((__function__ 'uri-cst-%x30-35-nat)) (declare (ignorable __function__)) (lnfix (nth 0 (tree-leafterm->get cst)))))
Theorem:
(defthm natp-of-uri-cst-%x30-35-nat (b* ((nat (uri-cst-%x30-35-nat cst))) (natp nat)) :rule-classes :rewrite)
Theorem:
(defthm uri-cst-%x30-35-nat-of-tree-fix-cst (equal (uri-cst-%x30-35-nat (tree-fix cst)) (uri-cst-%x30-35-nat cst)))
Theorem:
(defthm uri-cst-%x30-35-nat-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (uri-cst-%x30-35-nat cst) (uri-cst-%x30-35-nat cst-equiv))) :rule-classes :congruence)