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Isuffix

Isuffix-kind

Get the kind (tag) of a isuffix structure.

Signature
(isuffix-kind x) → kind
Arguments: x — Guard (isuffixp x).

Definitions and Theorems

Function: isuffix-kind$inline

(defun isuffix-kind$inline (x)
  (declare (xargs :guard (isuffixp x)))
  (let ((__function__ 'isuffix-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :u)) :u)
                      ((eq (car x) :l) :l)
                      ((eq (car x) :ul) :ul)
                      (t :lu))
         :exec (car x))))

Theorem: isuffix-kind-possibilities

(defthm isuffix-kind-possibilities
  (or (equal (isuffix-kind x) :u)
      (equal (isuffix-kind x) :l)
      (equal (isuffix-kind x) :ul)
      (equal (isuffix-kind x) :lu))
  :rule-classes
  ((:forward-chaining :trigger-terms ((isuffix-kind x)))))