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Sllong-array

Sllong-array->elements

Get the elements field from a sllong-array.

Signature
(sllong-array->elements x) → elements
Arguments: x — Guard (sllong-arrayp x).
Returns: elements — Type (sllong-listp elements).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: sllong-array->elements$inline

(defun sllong-array->elements$inline (x)
  (declare (xargs :guard (sllong-arrayp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'sllong-array->elements))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x))
              (elemtype (type-fix (std::da-nth 0 (cdr x))))
              (elements (sllong-list-fix (std::da-nth 1 (cdr x)))))
           (if (consp elements)
               elements
             (list (sllong-from-integer 0))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: sllong-listp-of-sllong-array->elements

(defthm sllong-listp-of-sllong-array->elements
  (b* ((elements (sllong-array->elements$inline x)))
    (sllong-listp elements))
  :rule-classes :rewrite)

Theorem: sllong-array->elements$inline-of-sllong-array-fix-x

(defthm sllong-array->elements$inline-of-sllong-array-fix-x
  (equal (sllong-array->elements$inline (sllong-array-fix x))
         (sllong-array->elements$inline x)))

Theorem: sllong-array->elements$inline-sllong-array-equiv-congruence-on-x

(defthm
   sllong-array->elements$inline-sllong-array-equiv-congruence-on-x
  (implies (sllong-array-equiv x x-equiv)
           (equal (sllong-array->elements$inline x)
                  (sllong-array->elements$inline x-equiv)))
  :rule-classes :congruence)