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Cgraph-outedges

Cgraph-outedges-p

Recognizer for cgraph-outedges structures.

Signature
(cgraph-outedges-p x) → *

Definitions and Theorems

Function: cgraph-outedges-p

(defun cgraph-outedges-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'cgraph-outedges-p))
    (declare (ignorable __function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x)
                                 '(formulas equivs)))
              :exec (fty::alist-with-carsp x '(formulas equivs)))
         (b* ((formulas (cdr (std::da-nth 0 x)))
              (equivs (cdr (std::da-nth 1 x))))
           (and (cgraph-formulalist-p formulas)
                (cgraph-equivlist-p equivs))))))

Theorem: consp-when-cgraph-outedges-p

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