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Initer

Initerp

Recognizer for initer structures.

Signature
(initerp x) → *

Definitions and Theorems

Function: initerp

(defun initerp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'initerp))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :single))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (exprp get))))
               (t (and (eq (car x) :list)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 1))
                       (b* ((get (std::da-nth 0 (cdr x))))
                         (expr-listp get))))))))

Theorem: consp-when-initerp

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