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Bexprefix

Bexprefix-kind

Get the kind (tag) of a bexprefix structure.

Signature
(bexprefix-kind x) → kind
Arguments: x — Guard (bexprefixp x).

Definitions and Theorems

Function: bexprefix-kind$inline

(defun bexprefix-kind$inline (x)
  (declare (xargs :guard (bexprefixp x)))
  (mbe :logic (cond ((or (atom x) (eq (car x) :locase-p))
                     :locase-p)
                    (t :upcase-p))
       :exec (car x)))

Theorem: bexprefix-kind-possibilities

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