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