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Representation-of-integers

Slongp

Recognizer of values of type signed long.

Signature
(slongp x) → yes/no
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: slongp

(defun slongp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'slongp))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :slong)
         (true-listp (cdr x))
         (eql (len (cdr x)) 1)
         (b* ((get (std::da-nth 0 (cdr x))))
           (slong-integerp get)))))

Theorem: booleanp-of-slongp

(defthm booleanp-of-slongp
  (b* ((yes/no (slongp x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: consp-when-slongp

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