Unary minus of a value of type
Function:
(defun minus-sshort (x) (declare (xargs :guard (and (sshortp x) (minus-sshort-okp x)))) (minus-sint (sint-from-sshort x)))
Theorem:
(defthm sintp-of-minus-sshort (sintp (minus-sshort x)))
Theorem:
(defthm minus-sshort-of-sshort-fix-x (equal (minus-sshort (sshort-fix x)) (minus-sshort x)))
Theorem:
(defthm minus-sshort-sshort-equiv-congruence-on-x (implies (sshort-equiv x x-equiv) (equal (minus-sshort x) (minus-sshort x-equiv))) :rule-classes :congruence)