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Nati

Nati-kind

Get the kind (tag) of a nati structure.

Signature
(nati-kind x) → kind
Arguments: x — Guard (natip x).

Definitions and Theorems

Function: nati-kind$inline

(defun nati-kind$inline (x)
  (declare (xargs :guard (natip x)))
  (let ((__function__ 'nati-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :finite))
                       :finite)
                      (t :infinity))
         :exec (car x))))

Theorem: nati-kind-possibilities

(defthm nati-kind-possibilities
 (or (equal (nati-kind x) :finite)
     (equal (nati-kind x) :infinity))
 :rule-classes ((:forward-chaining :trigger-terms ((nati-kind x)))))