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Rewrite

Rewrite-p

Recognizer for rewrite structures.

Signature
(rewrite-p x) → *

Definitions and Theorems

Function: rewrite-p

(defun rewrite-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'rewrite-p))
    (declare (ignorable __function__))
    (and (true-listp x)
         (eql (len x) 4)
         (b* ((hyps (std::da-nth 0 x))
              (equiv (std::da-nth 1 x))
              (lhs (std::da-nth 2 x))
              (rhs (std::da-nth 3 x)))
           (and (pseudo-term-listp hyps)
                (pseudo-fnsym-p equiv)
                (pseudo-termp lhs)
                (pseudo-termp rhs))))))

Theorem: consp-when-rewrite-p

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