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Range

Range-p

Recognizer for range structures.

Signature
(range-p x) → *

Definitions and Theorems

Function: range-p

(defun range-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'range-p))
    (declare (ignorable __function__))
    (and (std::prod-consp x)
         (b* ((lsb (std::prod-car x))
              (width (std::prod-cdr x)))
           (and (natp lsb) (maybe-posp width))))))

Theorem: consp-when-range-p

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