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Lhbit

Lhbit-kind

Get the kind (tag) of a lhbit structure.

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

Definitions and Theorems

Function: lhbit-kind$inline

(defun lhbit-kind$inline (x)
  (declare (xargs :guard (lhbit-p x)))
  (let ((__function__ 'lhbit-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :z)) :z)
                      (t :var))
         :exec (car x))))

Theorem: lhbit-kind-possibilities

(defthm lhbit-kind-possibilities
  (or (equal (lhbit-kind x) :z)
      (equal (lhbit-kind x) :var))
  :rule-classes
  ((:forward-chaining :trigger-terms ((lhbit-kind x)))))