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Atc-arrays

Sint-array-of

Build an array of type signed intfrom a list of its elements.

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

Definitions and Theorems

Function: sint-array-of

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

Theorem: sint-arrayp-of-sint-array-of

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

Theorem: sint-array-of-of-sint-array->elements

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

Theorem: sint-array-of-alt-def

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

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

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

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

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