Bitwise complement of a value of type
Function:
(defun bitnot-ushort (x) (declare (xargs :guard (and (ushortp x)))) (bitnot-sint (sint-from-ushort x)))
Theorem:
(defthm sintp-of-bitnot-ushort (sintp (bitnot-ushort x)))
Theorem:
(defthm bitnot-ushort-of-ushort-fix-x (equal (bitnot-ushort (ushort-fix x)) (bitnot-ushort x)))
Theorem:
(defthm bitnot-ushort-ushort-equiv-congruence-on-x (implies (ushort-equiv x x-equiv) (equal (bitnot-ushort x) (bitnot-ushort x-equiv))) :rule-classes :congruence)