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Bin-expo

Bin-expop

Recognizer for bin-expo structures.

Signature
(bin-expop x) → *

Definitions and Theorems

Function: bin-expop

(defun bin-expop (x)
  (declare (xargs :guard t))
  (and (consp x)
       (consp (cdr x))
       (b* ((prefix (car x))
            (sign? (car (cdr x)))
            (digits (cdr (cdr x))))
         (and (bin-expo-prefixp prefix)
              (sign-optionp sign?)
              (dec-digit-char-listp digits)))))

Theorem: consp-when-bin-expop

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