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Ext-declon

Ext-declon-kind

Get the kind (tag) of a ext-declon structure.

Signature
(ext-declon-kind x) → kind
Arguments: x — Guard (ext-declonp x).

Definitions and Theorems

Function: ext-declon-kind$inline

(defun ext-declon-kind$inline (x)
  (declare (xargs :guard (ext-declonp x)))
  (let ((__function__ 'ext-declon-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :fundef))
                       :fundef)
                      ((eq (car x) :fun-declon) :fun-declon)
                      ((eq (car x) :obj-declon) :obj-declon)
                      (t :tag-declon))
         :exec (car x))))

Theorem: ext-declon-kind-possibilities

(defthm ext-declon-kind-possibilities
  (or (equal (ext-declon-kind x) :fundef)
      (equal (ext-declon-kind x) :fun-declon)
      (equal (ext-declon-kind x) :obj-declon)
      (equal (ext-declon-kind x) :tag-declon))
  :rule-classes
  ((:forward-chaining :trigger-terms ((ext-declon-kind x)))))