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Representation-of-integers

Sintp

Recognizer of values of type signed int.

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

Definitions and Theorems

Function: sintp

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

Theorem: booleanp-of-sintp

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

Theorem: consp-when-sintp

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