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Num-range

Num-range-p

Recognizer for num-range structures.

Signature
(num-range-p x) → *

Definitions and Theorems

Function: num-range-p

(defun num-range-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'num-range-p))
    (declare (ignorable __function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x) '(base min max)))
              :exec (fty::alist-with-carsp x '(base min max)))
         (b* ((base (cdr (std::da-nth 0 x)))
              (min (cdr (std::da-nth 1 x)))
              (max (cdr (std::da-nth 2 x))))
           (and (num-base-p base)
                (natp min)
                (natp max))))))

Theorem: consp-when-num-range-p

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