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Cprefix

Cprefix-kind

Get the kind (tag) of a cprefix structure.

Signature
(cprefix-kind x) → kind
Arguments: x — Guard (cprefixp x).

Definitions and Theorems

Function: cprefix-kind$inline

(defun cprefix-kind$inline (x)
  (declare (xargs :guard (cprefixp x)))
  (let ((__function__ 'cprefix-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :upcase-l))
                       :upcase-l)
                      ((eq (car x) :locase-u) :locase-u)
                      (t :upcase-u))
         :exec (car x))))

Theorem: cprefix-kind-possibilities

(defthm cprefix-kind-possibilities
  (or (equal (cprefix-kind x) :upcase-l)
      (equal (cprefix-kind x) :locase-u)
      (equal (cprefix-kind x) :upcase-u))
  :rule-classes
  ((:forward-chaining :trigger-terms ((cprefix-kind x)))))