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Simpadd0-gin

Simpadd0-ginp

Recognizer for simpadd0-gin structures.

Signature
(simpadd0-ginp x) → *

Definitions and Theorems

Function: simpadd0-ginp

(defun simpadd0-ginp (x)
 (declare (xargs :guard t))
 (let ((__function__ 'simpadd0-ginp))
  (declare (ignorable __function__))
  (and
   (mbe
      :logic (and (alistp x)
                  (equal (strip-cars x)
                         '(const-new thm-index names-to-avoid)))
      :exec
      (fty::alist-with-carsp x
                             '(const-new thm-index names-to-avoid)))
   (b* ((const-new (cdr (std::da-nth 0 x)))
        (thm-index (cdr (std::da-nth 1 x)))
        (names-to-avoid (cdr (std::da-nth 2 x))))
     (and (symbolp const-new)
          (posp thm-index)
          (symbol-listp names-to-avoid))))))

Theorem: consp-when-simpadd0-ginp

(defthm consp-when-simpadd0-ginp
  (implies (simpadd0-ginp x) (consp x))
  :rule-classes :compound-recognizer)