		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integer-conversions

Slong-from-ulong

Convert from type unsigned long to type signed long.

Signature
(slong-from-ulong x) → result
Arguments: x — Guard (ulongp x).
Returns: result — Type (slongp result).

Definitions and Theorems

Function: slong-from-ulong

(defun slong-from-ulong (x)
  (declare (xargs :guard (ulongp x)))
  (declare (xargs :guard (slong-from-ulong-okp x)))
  (let ((__function__ 'slong-from-ulong))
    (declare (ignorable __function__))
    (slong-from-integer (integer-from-ulong x))))

Theorem: slongp-of-slong-from-ulong

(defthm slongp-of-slong-from-ulong
  (b* ((result (slong-from-ulong x)))
    (slongp result))
  :rule-classes :rewrite)

Theorem: slong-from-ulong-of-ulong-fix-x

(defthm slong-from-ulong-of-ulong-fix-x
  (equal (slong-from-ulong (ulong-fix x))
         (slong-from-ulong x)))

Theorem: slong-from-ulong-ulong-equiv-congruence-on-x

(defthm slong-from-ulong-ulong-equiv-congruence-on-x
  (implies (ulong-equiv x x-equiv)
           (equal (slong-from-ulong x)
                  (slong-from-ulong x-equiv)))
  :rule-classes :congruence)