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Atc-arrays

Sllong-array-of

Build an array of type signed long longfrom a list of its elements.

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

Definitions and Theorems

Function: sllong-array-of

(defun sllong-array-of (elements)
  (declare (xargs :guard (sllong-listp elements)))
  (declare (xargs :guard (consp elements)))
  (let ((__function__ 'sllong-array-of))
    (declare (ignorable __function__))
    (sllong-array (type-sllong) elements)))

Theorem: sllong-arrayp-of-sllong-array-of

(defthm sllong-arrayp-of-sllong-array-of
  (b* ((array (sllong-array-of elements)))
    (sllong-arrayp array))
  :rule-classes :rewrite)

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

(defthm sllong-array-of-of-sllong-array->elements
  (equal (sllong-array-of (sllong-array->elements array))
         (sllong-array-fix array)))

Theorem: sllong-array-of-alt-def

(defthm sllong-array-of-alt-def
  (implies (and (sllong-listp elems) (consp elems))
           (equal (sllong-array-of elems)
                  (make-value-array :elemtype (type-sllong)
                                    :elements elems))))

Theorem: sllong-array-of-of-sllong-list-fix-elements

(defthm sllong-array-of-of-sllong-list-fix-elements
  (equal (sllong-array-of (sllong-list-fix elements))
         (sllong-array-of elements)))

Theorem: sllong-array-of-sllong-list-equiv-congruence-on-elements

(defthm sllong-array-of-sllong-list-equiv-congruence-on-elements
  (implies (sllong-list-equiv elements elements-equiv)
           (equal (sllong-array-of elements)
                  (sllong-array-of elements-equiv)))
  :rule-classes :congruence)