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Num-val

Num-val-kind

Get the kind (tag) of a num-val structure.

Signature
(num-val-kind x) → kind
Arguments: x — Guard (num-val-p x).

Definitions and Theorems

Function: num-val-kind$inline

(defun num-val-kind$inline (x)
  (declare (xargs :guard (num-val-p x)))
  (let ((__function__ 'num-val-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :direct))
                       :direct)
                      (t :range))
         :exec (car x))))

Theorem: num-val-kind-possibilities

(defthm num-val-kind-possibilities
  (or (equal (num-val-kind x) :direct)
      (equal (num-val-kind x) :range))
  :rule-classes
  ((:forward-chaining :trigger-terms ((num-val-kind x)))))