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Representation-of-integers

Sllongp

Recognizer of values of type signed long long.

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

Definitions and Theorems

Function: sllongp

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

Theorem: booleanp-of-sllongp

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

Theorem: consp-when-sllongp

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