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Unparameterization

Vl-paramdecllist-all-localp

Signature
(vl-paramdecllist-all-localp x) → *
Arguments: x — Guard (vl-paramdecllist-p x).

Definitions and Theorems

Function: vl-paramdecllist-all-localp

(defun vl-paramdecllist-all-localp (x)
  (declare (xargs :guard (vl-paramdecllist-p x)))
  (let ((__function__ 'vl-paramdecllist-all-localp))
    (declare (ignorable __function__))
    (if (atom x)
        t
      (and (vl-paramdecl->localp (car x))
           (vl-paramdecllist-all-localp (cdr x))))))

Theorem: vl-paramdecllist-all-localp-of-vl-paramdecllist-fix-x

(defthm vl-paramdecllist-all-localp-of-vl-paramdecllist-fix-x
  (equal (vl-paramdecllist-all-localp (vl-paramdecllist-fix x))
         (vl-paramdecllist-all-localp x)))

Theorem: vl-paramdecllist-all-localp-vl-paramdecllist-equiv-congruence-on-x

(defthm
 vl-paramdecllist-all-localp-vl-paramdecllist-equiv-congruence-on-x
 (implies (vl-paramdecllist-equiv x x-equiv)
          (equal (vl-paramdecllist-all-localp x)
                 (vl-paramdecllist-all-localp x-equiv)))
 :rule-classes :congruence)