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Representation-of-integer-conversions

Slong-from-sshort

Convert from type signed short to type signed long.

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

Definitions and Theorems

Function: slong-from-sshort

(defun slong-from-sshort (x)
  (declare (xargs :guard (sshortp x)))
  (let ((__function__ 'slong-from-sshort))
    (declare (ignorable __function__))
    (slong-from-integer (integer-from-sshort x))))

Theorem: slongp-of-slong-from-sshort

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

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

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

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

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