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Modscope

Modscope-p

Recognizer for modscope structures.

Signature
(modscope-p x) → *

Definitions and Theorems

Function: modscope-p

(defun modscope-p (x)
 (declare (xargs :guard t))
 (let ((__function__ 'modscope-p))
  (declare (ignorable __function__))
  (and
   (consp x)
   (cond
    ((or (atom x) (eq (car x) :top))
     (and (b* ((modidx (cdr x))) (natp modidx))))
    (t
      (and (eq (car x) :nested)
           (and (std::prod-consp (cdr x))
                (std::prod-consp (std::prod-car (cdr x)))
                (std::prod-consp (std::prod-cdr (cdr x))))
           (b* ((modidx (std::prod-car (std::prod-car (cdr x))))
                (wireoffset (std::prod-cdr (std::prod-car (cdr x))))
                (instoffset (std::prod-car (std::prod-cdr (cdr x))))
                (upper (std::prod-cdr (std::prod-cdr (cdr x)))))
             (and (natp modidx)
                  (natp wireoffset)
                  (natp instoffset)
                  (modscope-p upper)))))))))

Theorem: consp-when-modscope-p

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