(maybe-nat flag num) → res
Function:
(defun maybe-nat (flag num) (declare (xargs :guard (natp num))) (let ((__function__ 'maybe-nat)) (declare (ignorable __function__)) (and flag (lnfix num))))
Theorem:
(defthm maybe-natp-of-maybe-nat (b* ((res (maybe-nat flag num))) (maybe-natp res)) :rule-classes :type-prescription)
Theorem:
(defthm maybe-nat-of-nfix-num (equal (maybe-nat flag (nfix num)) (maybe-nat flag num)))
Theorem:
(defthm maybe-nat-nat-equiv-congruence-on-num (implies (acl2::nat-equiv num num-equiv) (equal (maybe-nat flag num) (maybe-nat flag num-equiv))) :rule-classes :congruence)