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Rw-pair

Rw-pair-p

Recognizer for rw-pair structures.

Signature
(rw-pair-p x) → *

Definitions and Theorems

Function: rw-pair-p

(defun rw-pair-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'rw-pair-p))
    (declare (ignorable __function__))
    (and (true-listp x)
         (eql (len x) 2)
         (b* ((hyps (std::da-nth 0 x))
              (concl (std::da-nth 1 x)))
           (and (pseudo-term-listp hyps)
                (pseudo-termp concl))))))

Theorem: consp-when-rw-pair-p

(defthm consp-when-rw-pair-p
  (implies (rw-pair-p x) (consp x))
  :rule-classes :compound-recognizer)