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Vl-op-ac-p

Recognizes the associative/commutative binary vl-op-ps.

This is an ordinary defenum.

Function: vl-op-ac-p

(defun vl-op-ac-p (x)
  (declare (xargs :guard t))
  (or (eq x ':vl-binary-plus)
      (eq x ':vl-binary-logand)
      (eq x ':vl-binary-logor)
      (eq x ':vl-binary-bitand)
      (eq x ':vl-binary-bitor)
      (eq x ':vl-binary-xor)
      (eq x ':vl-binary-xnor)))

Theorem: type-when-vl-op-ac-p

(defthm type-when-vl-op-ac-p
  (implies (vl-op-ac-p x)
           (if (symbolp x)
               (if (not (equal x 't))
                   (not (equal x 'nil))
                 'nil)
             'nil))
  :rule-classes :compound-recognizer)