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Bitsize

Bitsize-kind

Get the kind (tag) of a bitsize structure.

Signature
(bitsize-kind x) → kind
Arguments: x — Guard (bitsizep x).

Definitions and Theorems

Function: bitsize-kind$inline

(defun bitsize-kind$inline (x)
  (declare (xargs :guard (bitsizep x)))
  (let ((__function__ 'bitsize-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :|8|)) :|8|)
                      ((eq (car x) :|16|) :|16|)
                      ((eq (car x) :|32|) :|32|)
                      ((eq (car x) :|64|) :|64|)
                      (t :|128|))
         :exec (car x))))

Theorem: bitsize-kind-possibilities

(defthm bitsize-kind-possibilities
  (or (equal (bitsize-kind x) :|8|)
      (equal (bitsize-kind x) :|16|)
      (equal (bitsize-kind x) :|32|)
      (equal (bitsize-kind x) :|64|)
      (equal (bitsize-kind x) :|128|))
  :rule-classes
  ((:forward-chaining :trigger-terms ((bitsize-kind x)))))