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Fun-sort

Fun-sort-kind

Get the kind (tag) of a fun-sort structure.

Signature
(fun-sort-kind x) → kind
Arguments: x — Guard (fun-sortp x).

Definitions and Theorems

Function: fun-sort-kind$inline

(defun fun-sort-kind$inline (x)
  (declare (xargs :guard (fun-sortp x)))
  (let ((__function__ 'fun-sort-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :standard))
                       :standard)
                      (t :transition))
         :exec (car x))))

Theorem: fun-sort-kind-possibilities

(defthm fun-sort-kind-possibilities
  (or (equal (fun-sort-kind x) :standard)
      (equal (fun-sort-kind x) :transition))
  :rule-classes
  ((:forward-chaining :trigger-terms ((fun-sort-kind x)))))