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Ternary-op

Ternary-opp

Recognizer for ternary-op structures.

Signature
(ternary-opp x) → *

Definitions and Theorems

Function: ternary-opp

(defun ternary-opp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'ternary-opp))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :ternary)
         (and (true-listp (cdr x))
              (eql (len (cdr x)) 0))
         (b* nil t))))

Theorem: consp-when-ternary-opp

(defthm consp-when-ternary-opp
  (implies (ternary-opp x) (consp x))
  :rule-classes :compound-recognizer)