This is an ordinary std::defenum.
Function:
(defun st-hyp-method-p (x) (declare (xargs :guard t)) (or (eq x ':inductive-sat) (eq x ':inductive-clause) (eq x ':mcheck)))
Theorem: type-when-st-hyp-method-p
(defthm type-when-st-hyp-method-p (implies (st-hyp-method-p x) (if (symbolp x) (if (not (equal x 't)) (not (equal x 'nil)) 'nil) 'nil)) :rule-classes :compound-recognizer)