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Int-array

Int-array->components

Get the components field from a int-array.

Signature
(int-array->components x) → components
Arguments: x — Guard (int-arrayp x).
Returns: components — Type (int-value-listp components).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: int-array->components$inline

(defun int-array->components$inline (x)
 (declare (xargs :guard (int-arrayp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'int-array->components))
  (declare (ignorable __function__))
  (mbe
     :logic
     (b* ((x (and t x))
          (components (int-value-list-fix (std::da-nth 0 (cdr x)))))
       (if (< (len components) (expt 2 31))
           components
         nil))
     :exec (std::da-nth 0 (cdr x)))))

Theorem: int-value-listp-of-int-array->components

(defthm int-value-listp-of-int-array->components
  (b* ((components (int-array->components$inline x)))
    (int-value-listp components))
  :rule-classes :rewrite)

Theorem: int-array->components$inline-of-int-array-fix-x

(defthm int-array->components$inline-of-int-array-fix-x
  (equal (int-array->components$inline (int-array-fix x))
         (int-array->components$inline x)))

Theorem: int-array->components$inline-int-array-equiv-congruence-on-x

(defthm int-array->components$inline-int-array-equiv-congruence-on-x
  (implies (int-array-equiv x x-equiv)
           (equal (int-array->components$inline x)
                  (int-array->components$inline x-equiv)))
  :rule-classes :congruence)