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Eprefix

Eprefix-kind

Get the kind (tag) of a eprefix structure.

Signature
(eprefix-kind x) → kind
Arguments: x — Guard (eprefixp x).

Definitions and Theorems

Function: eprefix-kind$inline

(defun eprefix-kind$inline (x)
  (declare (xargs :guard (eprefixp x)))
  (let ((__function__ 'eprefix-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :locase-u8))
                       :locase-u8)
                      ((eq (car x) :locase-u) :locase-u)
                      ((eq (car x) :upcase-u) :upcase-u)
                      (t :upcase-l))
         :exec (car x))))

Theorem: eprefix-kind-possibilities

(defthm eprefix-kind-possibilities
  (or (equal (eprefix-kind x) :locase-u8)
      (equal (eprefix-kind x) :locase-u)
      (equal (eprefix-kind x) :upcase-u)
      (equal (eprefix-kind x) :upcase-l))
  :rule-classes
  ((:forward-chaining :trigger-terms ((eprefix-kind x)))))