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Atc-arrays

Sshort-array-of

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

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

Definitions and Theorems

Function: sshort-array-of

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

Theorem: sshort-arrayp-of-sshort-array-of

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

Theorem: sshort-array-of-of-sshort-array->elements

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

Theorem: sshort-array-of-alt-def

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

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

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

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

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