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Svex-context

Svex-context-p

Recognizer for svex-context structures.

Signature
(svex-context-p x) → *

Definitions and Theorems

Function: svex-context-p

(defun svex-context-p (x)
 (declare (xargs :guard t))
 (let ((__function__ 'svex-context-p))
  (declare (ignorable __function__))
  (and
    (consp x)
    (cond ((or (atom x) (eq (car x) :call))
           (and (std::prod-consp (cdr x))
                (std::prod-consp (std::prod-cdr (cdr x)))
                (b* ((argnum (std::prod-car (cdr x)))
                     (fn (std::prod-car (std::prod-cdr (cdr x))))
                     (args (std::prod-cdr (std::prod-cdr (cdr x)))))
                  (and (natp argnum)
                       (fnsym-p fn)
                       (svexlist-p args)))))
          (t (and (eq (car x) :top)
                  (and (true-listp (cdr x))
                       (eql (len (cdr x)) 0))
                  (b* nil t)))))))

Theorem: consp-when-svex-context-p

(defthm consp-when-svex-context-p
  (implies (svex-context-p x) (consp x))
  :rule-classes :compound-recognizer)