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Gout

Goutp

Recognizer for gout structures.

Signature
(goutp x) → *

Definitions and Theorems

Function: goutp

(defun goutp (x)
 (declare (xargs :guard t))
 (let ((__function__ 'goutp))
  (declare (ignorable __function__))
  (and
   (mbe
      :logic (and (alistp x)
                  (equal (strip-cars x)
                         '(events thm-index thm-name vartys)))
      :exec
      (fty::alist-with-carsp x '(events thm-index thm-name vartys)))
   (b* ((events (cdr (std::da-nth 0 x)))
        (thm-index (cdr (std::da-nth 1 x)))
        (thm-name (cdr (std::da-nth 2 x)))
        (vartys (cdr (std::da-nth 3 x))))
     (and (pseudo-event-form-listp events)
          (posp thm-index)
          (symbolp thm-name)
          (c::ident-type-mapp vartys))))))

Theorem: consp-when-goutp

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