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Representation-of-integer-conversions

Sllong-from-ullong

Convert from type unsigned long long to type signed long long.

Signature
(sllong-from-ullong x) → result
Arguments: x — Guard (ullongp x).
Returns: result — Type (sllongp result).

Definitions and Theorems

Function: sllong-from-ullong

(defun sllong-from-ullong (x)
  (declare (xargs :guard (ullongp x)))
  (declare (xargs :guard (sllong-from-ullong-okp x)))
  (let ((__function__ 'sllong-from-ullong))
    (declare (ignorable __function__))
    (sllong-from-integer (integer-from-ullong x))))

Theorem: sllongp-of-sllong-from-ullong

(defthm sllongp-of-sllong-from-ullong
  (b* ((result (sllong-from-ullong x)))
    (sllongp result))
  :rule-classes :rewrite)

Theorem: sllong-from-ullong-of-ullong-fix-x

(defthm sllong-from-ullong-of-ullong-fix-x
  (equal (sllong-from-ullong (ullong-fix x))
         (sllong-from-ullong x)))

Theorem: sllong-from-ullong-ullong-equiv-congruence-on-x

(defthm sllong-from-ullong-ullong-equiv-congruence-on-x
  (implies (ullong-equiv x x-equiv)
           (equal (sllong-from-ullong x)
                  (sllong-from-ullong x-equiv)))
  :rule-classes :congruence)