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Representation-of-integers

Sllong-from-integer

Constructor for values of type signed long long.

Signature
(sllong-from-integer get) → y
Arguments: get — Guard (sllong-integerp get).
Returns: y — Type (sllongp y).

Definitions and Theorems

Function: sllong-from-integer

(defun sllong-from-integer (get)
  (declare (xargs :guard (sllong-integerp get)))
  (let ((__function__ 'sllong-from-integer))
    (declare (ignorable __function__))
    (b* ((get (mbe :logic (sllong-integer-fix get)
                   :exec get)))
      (cons :sllong (list get)))))

Theorem: sllongp-of-sllong-from-integer

(defthm sllongp-of-sllong-from-integer
  (b* ((y (sllong-from-integer get)))
    (sllongp y))
  :rule-classes :rewrite)

Theorem: sllong-from-integer-of-sllong-integer-fix-get

(defthm sllong-from-integer-of-sllong-integer-fix-get
  (equal (sllong-from-integer (sllong-integer-fix get))
         (sllong-from-integer get)))

Theorem: sllong-from-integer-sllong-integer-equiv-congruence-on-get

(defthm sllong-from-integer-sllong-integer-equiv-congruence-on-get
  (implies (sllong-integer-equiv get get-equiv)
           (equal (sllong-from-integer get)
                  (sllong-from-integer get-equiv)))
  :rule-classes :congruence)