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Deltemps

Vl-alwayslist-deltemps

Signature
(vl-alwayslist-deltemps x) → new-x
Arguments: x — Guard (vl-alwayslist-p x).
Returns: new-x — Type (vl-alwayslist-p new-x).

Definitions and Theorems

Function: vl-alwayslist-deltemps

(defun vl-alwayslist-deltemps (x)
  (declare (xargs :guard (vl-alwayslist-p x)))
  (let ((__function__ 'vl-alwayslist-deltemps))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (b* nil x))
         (car (vl-always-deltemps (car x)))
         (cdr (vl-alwayslist-deltemps (cdr x))))
      (cons-with-hint car cdr x))))

Theorem: vl-alwayslist-p-of-vl-alwayslist-deltemps

(defthm vl-alwayslist-p-of-vl-alwayslist-deltemps
  (b* ((new-x (vl-alwayslist-deltemps x)))
    (vl-alwayslist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-alwayslist-deltemps-of-vl-alwayslist-fix-x

(defthm vl-alwayslist-deltemps-of-vl-alwayslist-fix-x
  (equal (vl-alwayslist-deltemps (vl-alwayslist-fix x))
         (vl-alwayslist-deltemps x)))

Theorem: vl-alwayslist-deltemps-vl-alwayslist-equiv-congruence-on-x

(defthm vl-alwayslist-deltemps-vl-alwayslist-equiv-congruence-on-x
  (implies (vl-alwayslist-equiv x x-equiv)
           (equal (vl-alwayslist-deltemps x)
                  (vl-alwayslist-deltemps x-equiv)))
  :rule-classes :congruence)