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Valid-defstatus

Valid-defstatus-kind

Get the kind (tag) of a valid-defstatus structure.

Signature
(valid-defstatus-kind x) → kind
Arguments: x — Guard (valid-defstatusp x).

Definitions and Theorems

Function: valid-defstatus-kind$inline

(defun valid-defstatus-kind$inline (x)
  (declare (xargs :guard (valid-defstatusp x)))
  (let ((__function__ 'valid-defstatus-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :undefined))
                       :undefined)
                      ((eq (car x) :tentative) :tentative)
                      (t :defined))
         :exec (car x))))

Theorem: valid-defstatus-kind-possibilities

(defthm valid-defstatus-kind-possibilities
  (or (equal (valid-defstatus-kind x)
             :undefined)
      (equal (valid-defstatus-kind x)
             :tentative)
      (equal (valid-defstatus-kind x)
             :defined))
  :rule-classes
  ((:forward-chaining :trigger-terms ((valid-defstatus-kind x)))))