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• Atj-java-primitive-array-model

Boolean-array-write

Write a component to a Java boolean array.

Signature

(boolean-array-write array index component) → new-array

Arguments

array — Guard (boolean-arrayp array).

index — Guard (int-valuep index).

component — Guard (boolean-valuep component).

Returns

new-array — Type (boolean-arrayp new-array).

Definitions and Theorems

Function: boolean-array-write

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

Theorem: boolean-arrayp-of-boolean-array-write

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

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

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

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

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