This is an ordinary defenum.
Function:
(defun bvar-db$c-field-p (x) (declare (xargs :guard t)) (or (eq x ':base) (eq x ':next) (eq x ':bvar-terms) (eq x ':term-bvars) (eq x ':term-equivs) (eq x ':fn-indices)))
Theorem: type-when-bvar-db$c-field-p
(defthm type-when-bvar-db$c-field-p (implies (bvar-db$c-field-p x) (if (symbolp x) (if (not (equal x 't)) (not (equal x 'nil)) 'nil) 'nil)) :rule-classes :compound-recognizer)