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Lucid

Vl-lucid-collect-solo-occs

Signature
(vl-lucid-collect-solo-occs x) → solos
Arguments: x — Guard (vl-lucidocclist-p x).
Returns: solos — Type (vl-lucidocclist-p solos).

Definitions and Theorems

Function: vl-lucid-collect-solo-occs

(defun vl-lucid-collect-solo-occs (x)
  (declare (xargs :guard (vl-lucidocclist-p x)))
  (let ((__function__ 'vl-lucid-collect-solo-occs))
    (declare (ignorable __function__))
    (cond ((atom x) nil)
          ((eq (vl-lucidocc-kind (car x)) :solo)
           (cons (vl-lucidocc-fix (car x))
                 (vl-lucid-collect-solo-occs (cdr x))))
          (t (vl-lucid-collect-solo-occs (cdr x))))))

Theorem: vl-lucidocclist-p-of-vl-lucid-collect-solo-occs

(defthm vl-lucidocclist-p-of-vl-lucid-collect-solo-occs
  (b* ((solos (vl-lucid-collect-solo-occs x)))
    (vl-lucidocclist-p solos))
  :rule-classes :rewrite)

Theorem: vl-lucid-collect-solo-occs-under-iff

(defthm vl-lucid-collect-solo-occs-under-iff
  (b* ((solos (vl-lucid-collect-solo-occs x)))
    (iff solos (vl-lucid-some-solo-occp x)))
  :rule-classes :rewrite)

Theorem: consp-of-vl-lucid-collect-solo-occs

(defthm consp-of-vl-lucid-collect-solo-occs
  (b* ((solos (vl-lucid-collect-solo-occs x)))
    (equal (consp solos) (if solos t nil)))
  :rule-classes :rewrite)

Theorem: vl-lucid-collect-solo-occs-of-vl-lucidocclist-fix-x

(defthm vl-lucid-collect-solo-occs-of-vl-lucidocclist-fix-x
  (equal (vl-lucid-collect-solo-occs (vl-lucidocclist-fix x))
         (vl-lucid-collect-solo-occs x)))

Theorem: vl-lucid-collect-solo-occs-vl-lucidocclist-equiv-congruence-on-x

(defthm
   vl-lucid-collect-solo-occs-vl-lucidocclist-equiv-congruence-on-x
  (implies (vl-lucidocclist-equiv x x-equiv)
           (equal (vl-lucid-collect-solo-occs x)
                  (vl-lucid-collect-solo-occs x-equiv)))
  :rule-classes :congruence)