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Atc-arrays

Schar-array-of

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

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

Definitions and Theorems

Function: schar-array-of

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

Theorem: schar-arrayp-of-schar-array-of

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

Theorem: schar-array-of-of-schar-array->elements

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

Theorem: schar-array-of-alt-def

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

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

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

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

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