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Lucid

Vl-lucidocclist-remove-tails

Signature
(vl-lucidocclist-remove-tails x) → new-x
Arguments: x — Guard (vl-lucidocclist-p x).
Returns: new-x — Type (vl-lucidocclist-p new-x).

Definitions and Theorems

Function: vl-lucidocclist-remove-tails

(defun vl-lucidocclist-remove-tails (x)
  (declare (xargs :guard (vl-lucidocclist-p x)))
  (let ((__function__ 'vl-lucidocclist-remove-tails))
    (declare (ignorable __function__))
    (cond ((atom x) nil)
          ((eq (vl-lucidocc-kind (car x)) :tail)
           (vl-lucidocclist-remove-tails (cdr x)))
          (t (cons (vl-lucidocc-fix (car x))
                   (vl-lucidocclist-remove-tails (cdr x)))))))

Theorem: vl-lucidocclist-p-of-vl-lucidocclist-remove-tails

(defthm vl-lucidocclist-p-of-vl-lucidocclist-remove-tails
  (b* ((new-x (vl-lucidocclist-remove-tails x)))
    (vl-lucidocclist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-lucidocclist-remove-tails-of-vl-lucidocclist-fix-x

(defthm vl-lucidocclist-remove-tails-of-vl-lucidocclist-fix-x
  (equal (vl-lucidocclist-remove-tails (vl-lucidocclist-fix x))
         (vl-lucidocclist-remove-tails x)))

Theorem: vl-lucidocclist-remove-tails-vl-lucidocclist-equiv-congruence-on-x

(defthm
 vl-lucidocclist-remove-tails-vl-lucidocclist-equiv-congruence-on-x
 (implies (vl-lucidocclist-equiv x x-equiv)
          (equal (vl-lucidocclist-remove-tails x)
                 (vl-lucidocclist-remove-tails x-equiv)))
 :rule-classes :congruence)