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Dexprefix

Dexprefix-kind

Get the kind (tag) of a dexprefix structure.

Signature
(dexprefix-kind x) → kind
Arguments: x — Guard (dexprefixp x).

Definitions and Theorems

Function: dexprefix-kind$inline

(defun dexprefix-kind$inline (x)
  (declare (xargs :guard (dexprefixp x)))
  (mbe :logic (cond ((or (atom x) (eq (car x) :locase-e))
                     :locase-e)
                    (t :upcase-e))
       :exec (car x)))

Theorem: dexprefix-kind-possibilities

(defthm dexprefix-kind-possibilities
  (or (equal (dexprefix-kind x) :locase-e)
      (equal (dexprefix-kind x) :upcase-e))
  :rule-classes
  ((:forward-chaining :trigger-terms ((dexprefix-kind x)))))