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Deltemps

Vl-finallist-deltemps

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

Definitions and Theorems

Function: vl-finallist-deltemps

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

Theorem: vl-finallist-p-of-vl-finallist-deltemps

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

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

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

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

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