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Fun-declon

Fun-declonp

Recognizer for fun-declon structures.

Signature
(fun-declonp x) → *

Definitions and Theorems

Function: fun-declonp

(defun fun-declonp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'fun-declonp))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :fun-declon)
         (mbe :logic (and (alistp (cdr x))
                          (equal (strip-cars (cdr x))
                                 '(tyspec declor)))
              :exec (fty::alist-with-carsp (cdr x)
                                           '(tyspec declor)))
         (b* ((tyspec (cdr (std::da-nth 0 (cdr x))))
              (declor (cdr (std::da-nth 1 (cdr x)))))
           (and (tyspecseqp tyspec)
                (fun-declorp declor))))))

Theorem: consp-when-fun-declonp

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