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Ex-args

Ex-args-p

Recognizer for ex-args structures.

Signature
(ex-args-p x) → *

Definitions and Theorems

Function: ex-args-p

(defun ex-args-p (x)
 (declare (xargs :guard t))
 (let ((acl2::__function__ 'ex-args-p))
  (declare (ignorable acl2::__function__))
  (and
   (mbe
     :logic
     (and (alistp x)
          (equal (strip-cars x)
                 '(term-lst fn-lst fn-lvls wrld-fn-len expand-lst)))
     :exec (fty::alist-with-carsp
                x
                '(term-lst fn-lst fn-lvls wrld-fn-len expand-lst)))
   (b* ((term-lst (cdr (std::da-nth 0 x)))
        (fn-lst (cdr (std::da-nth 1 x)))
        (fn-lvls (cdr (std::da-nth 2 x)))
        (wrld-fn-len (cdr (std::da-nth 3 x)))
        (expand-lst (cdr (std::da-nth 4 x))))
     (and (pseudo-term-listp term-lst)
          (func-alistp fn-lst)
          (sym-nat-alistp fn-lvls)
          (natp wrld-fn-len)
          (pseudo-term-alistp expand-lst))))))

Theorem: consp-when-ex-args-p

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