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Function-recursion

Function-recursionp

Recognizer for function-recursion structures.

Signature
(function-recursionp x) → *

Definitions and Theorems

Function: function-recursionp

(defun function-recursionp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'function-recursionp))
    (declare (ignorable __function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x) '(definitions)))
              :exec (fty::alist-with-carsp x '(definitions)))
         (b* ((definitions (cdr (std::da-nth 0 x))))
           (function-definition-listp definitions)))))

Theorem: consp-when-function-recursionp

(defthm consp-when-function-recursionp
  (implies (function-recursionp x)
           (consp x))
  :rule-classes :compound-recognizer)