		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integer-conversions

Slong-from-uint

Convert from type unsigned int to type signed long.

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

Definitions and Theorems

Function: slong-from-uint

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

Theorem: slongp-of-slong-from-uint

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

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

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

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

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