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Unparameterization

Vl-paramdecllist-remove-defaults

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

Definitions and Theorems

Function: vl-paramdecllist-remove-defaults

(defun vl-paramdecllist-remove-defaults (x)
  (declare (xargs :guard (vl-paramdecllist-p x)))
  (let ((__function__ 'vl-paramdecllist-remove-defaults))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (cons (vl-paramdecl-remove-default (car x))
            (vl-paramdecllist-remove-defaults (cdr x))))))

Theorem: vl-paramdecllist-p-of-vl-paramdecllist-remove-defaults

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

Theorem: vl-paramdecllist-remove-defaults-of-vl-paramdecllist-fix-x

(defthm vl-paramdecllist-remove-defaults-of-vl-paramdecllist-fix-x
  (equal (vl-paramdecllist-remove-defaults (vl-paramdecllist-fix x))
         (vl-paramdecllist-remove-defaults x)))

Theorem: vl-paramdecllist-remove-defaults-vl-paramdecllist-equiv-congruence-on-x

(defthm
 vl-paramdecllist-remove-defaults-vl-paramdecllist-equiv-congruence-on-x
 (implies (vl-paramdecllist-equiv x x-equiv)
          (equal (vl-paramdecllist-remove-defaults x)
                 (vl-paramdecllist-remove-defaults x-equiv)))
 :rule-classes :congruence)