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Double-array

Double-array->components

Get the components field from a double-array.

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

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

Definitions and Theorems

Function: double-array->components$inline

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

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

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

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

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

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