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Equal-op

Equal-op-kind

Get the kind (tag) of a equal-op structure.

Signature
(equal-op-kind x) → kind
Arguments: x — Guard (equal-opp x).

Definitions and Theorems

Function: equal-op-kind$inline

(defun equal-op-kind$inline (x)
  (declare (xargs :guard (equal-opp x)))
  (let ((__function__ 'equal-op-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :is.eq))
                       :is.eq)
                      (t :is.neq))
         :exec (car x))))

Theorem: equal-op-kind-possibilities

(defthm equal-op-kind-possibilities
  (or (equal (equal-op-kind x) :is.eq)
      (equal (equal-op-kind x) :is.neq))
  :rule-classes
  ((:forward-chaining :trigger-terms ((equal-op-kind x)))))