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    • Asgop

    Asgopp

    Recognizer for asgop structures.

    Signature
    (asgopp x) → *

    Definitions and Theorems

    Function: asgopp

    (defun asgopp (x)
      (declare (xargs :guard t))
      (let ((__function__ 'asgopp))
        (declare (ignorable __function__))
        (and (consp x)
             (cond ((or (atom x) (eq (car x) :asg))
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-add)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-sub)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-mul)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-div)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-rem)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-pow)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-shl)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-shr)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-bitand)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-bitior)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-bitxor)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   ((eq (car x) :asg-and)
                    (and (true-listp (cdr x))
                         (eql (len (cdr x)) 0)
                         (b* nil t)))
                   (t (and (eq (car x) :asg-or)
                           (and (true-listp (cdr x))
                                (eql (len (cdr x)) 0))
                           (b* nil t)))))))

    Theorem: consp-when-asgopp

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