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Num-base

Num-base-kind

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

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

Definitions and Theorems

Function: num-base-kind$inline

(defun num-base-kind$inline (x)
  (declare (xargs :guard (num-base-p x)))
  (let ((__function__ 'num-base-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :dec)) :dec)
                      ((eq (car x) :hex) :hex)
                      (t :bin))
         :exec (car x))))

Theorem: num-base-kind-possibilities

(defthm num-base-kind-possibilities
  (or (equal (num-base-kind x) :dec)
      (equal (num-base-kind x) :hex)
      (equal (num-base-kind x) :bin))
  :rule-classes
  ((:forward-chaining :trigger-terms ((num-base-kind x)))))