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• Span

Spanp

Recognizer for span structures.

Signature

(spanp x) → *

Definitions and Theorems

Function: spanp

(defun spanp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'spanp))
    (declare (ignorable __function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x) '(start end)))
              :exec (fty::alist-with-carsp x '(start end)))
         (b* ((start (cdr (std::da-nth 0 x)))
              (end (cdr (std::da-nth 1 x))))
           (and (positionp start)
                (positionp end))))))

Theorem: consp-when-spanp

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