Logical complement of a value of type
Function:
(defun lognot-ulong (x) (declare (xargs :guard (and (ulongp x)))) (sint-from-boolean (= (integer-from-ulong x) 0)))
Theorem:
(defthm sintp-of-lognot-ulong (sintp (lognot-ulong x)))
Theorem:
(defthm lognot-ulong-of-ulong-fix-x (equal (lognot-ulong (ulong-fix x)) (lognot-ulong x)))
Theorem:
(defthm lognot-ulong-ulong-equiv-congruence-on-x (implies (ulong-equiv x x-equiv) (equal (lognot-ulong x) (lognot-ulong x-equiv))) :rule-classes :congruence)