Function:
(defun http-cst-%x30-34-nat (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (http-cst-matchp cst "%x30-34"))) (let ((__function__ 'http-cst-%x30-34-nat)) (declare (ignorable __function__)) (lnfix (nth 0 (tree-leafterm->get cst)))))
Theorem:
(defthm natp-of-http-cst-%x30-34-nat (b* ((nat (http-cst-%x30-34-nat cst))) (natp nat)) :rule-classes :rewrite)
Theorem:
(defthm http-cst-%x30-34-nat-of-tree-fix-cst (equal (http-cst-%x30-34-nat (tree-fix cst)) (http-cst-%x30-34-nat cst)))
Theorem:
(defthm http-cst-%x30-34-nat-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (http-cst-%x30-34-nat cst) (http-cst-%x30-34-nat cst-equiv))) :rule-classes :congruence)