Function:
(defun smtp-cst-%d97-105-nat (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (smtp-cst-matchp cst "%d97-105"))) (let ((__function__ 'smtp-cst-%d97-105-nat)) (declare (ignorable __function__)) (lnfix (nth 0 (tree-leafterm->get cst)))))
Theorem:
(defthm natp-of-smtp-cst-%d97-105-nat (b* ((nat (smtp-cst-%d97-105-nat cst))) (natp nat)) :rule-classes :rewrite)
Theorem:
(defthm smtp-cst-%d97-105-nat-of-tree-fix-cst (equal (smtp-cst-%d97-105-nat (tree-fix cst)) (smtp-cst-%d97-105-nat cst)))
Theorem:
(defthm smtp-cst-%d97-105-nat-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (smtp-cst-%d97-105-nat cst) (smtp-cst-%d97-105-nat cst-equiv))) :rule-classes :congruence)