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Atj-java-primitive-array-model

Int-array-write

Write a component to a Java int array.

Signature
(int-array-write array index component) → new-array
Arguments: array — Guard (int-arrayp array).; index — Guard (int-valuep index).; component — Guard (int-valuep component).
Returns: new-array — Type (int-arrayp new-array).

Definitions and Theorems

Function: int-array-write

(defun int-array-write (array index component)
  (declare (xargs :guard (and (int-arrayp array)
                              (int-valuep index)
                              (int-valuep component))))
  (declare (xargs :guard (int-array-index-in-range-p array index)))
  (let ((__function__ 'int-array-write))
    (declare (ignorable __function__))
    (if (mbt (int-array-index-in-range-p array index))
        (int-array (update-nth (int-value->int index)
                               component
                               (int-array->components array)))
      (int-array-fix array))))

Theorem: int-arrayp-of-int-array-write

(defthm int-arrayp-of-int-array-write
  (b* ((new-array (int-array-write array index component)))
    (int-arrayp new-array))
  :rule-classes :rewrite)

Theorem: len-of-components-of-int-array-write

(defthm len-of-components-of-int-array-write
  (b* ((?new-array (int-array-write array index component)))
    (equal (len (int-array->components new-array))
           (len (int-array->components array)))))

Theorem: int-array-index-in-range-p-of-int-array-write

(defthm int-array-index-in-range-p-of-int-array-write
  (b* ((?new-array (int-array-write array index component)))
    (equal (int-array-index-in-range-p new-array index1)
           (int-array-index-in-range-p array index1))))