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Element/rulename-p

Recognize elements and rule names.

Note that elements and rule names are disjoint.

Function: element/rulename-p

(defun element/rulename-p (x)
  (declare (xargs :guard t))
  (or (elementp x) (rulenamep x)))

Theorem: booleanp-of-element/rulename-p

(defthm booleanp-of-element/rulename-p
  (b* ((yes/no (element/rulename-p x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: disjoint-element/rulename

(defthm disjoint-element/rulename
  (not (and (elementp x) (rulenamep x))))