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Expr-priority

Expr-priorityp

Recognizer for expr-priority structures.

Signature
(expr-priorityp x) → *

Definitions and Theorems

Function: expr-priorityp

(defun expr-priorityp (x)
  (declare (xargs :guard t))
  (and (consp x)
       (cond ((or (atom x) (eq (car x) :primary))
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :postfix)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :unary)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :cast)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :mul)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :add)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :sh)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :rel)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :eq)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :and)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :xor)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :ior)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :logand)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :logor)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :cond)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :asg)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             (t (and (eq (car x) :expr)
                     (and (true-listp (cdr x))
                          (eql (len (cdr x)) 0))
                     (b* nil t))))))

Theorem: consp-when-expr-priorityp

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