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• Parse-expressions

Vl-parse-op-alist-p

Signature

(vl-parse-op-alist-p arity x) → *

Arguments

arity — Guard (maybe-natp arity).

Definitions and Theorems

Function: vl-parse-op-alist-p

(defun vl-parse-op-alist-p (arity x)
  (declare (xargs :guard (maybe-natp arity)))
  (let ((__function__ 'vl-parse-op-alist-p))
    (declare (ignorable __function__))
    (if (atom x)
        (not x)
      (and (consp (car x))
           (symbolp (caar x))
           (vl-op-p (cdar x))
           (eql arity (vl-op-arity (cdar x)))
           (vl-parse-op-alist-p arity (cdr x))))))

Theorem: vl-parse-op-alist-p-when-atom

(defthm vl-parse-op-alist-p-when-atom
  (implies (atom x)
           (equal (vl-parse-op-alist-p arity x)
                  (not x))))

Theorem: vl-parse-op-alist-p-of-cons

(defthm vl-parse-op-alist-p-of-cons
  (equal (vl-parse-op-alist-p arity (cons a x))
         (and (consp a)
              (symbolp (car a))
              (vl-op-p (cdr a))
              (eql arity (vl-op-arity (cdr a)))
              (vl-parse-op-alist-p arity x))))