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Short-array

Short-array->components

Get the components field from a short-array.

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

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

Definitions and Theorems

Function: short-array->components$inline

(defun short-array->components$inline (x)
 (declare (xargs :guard (short-arrayp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'short-array->components))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b* ((x (and t x))
        (components (short-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: short-value-listp-of-short-array->components

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

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

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

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

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