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Of course, a rule is not sound or complete on its own; the important question is whether a particular system of rules is together sound and compete. There are systems with EI that are sound and complete. But it can take a particular combination of other rules to achieve this. Normally, I think of UG as only replacing variables, while EI only adds new constant symbols (not variables). — Carl (CBM · talk) 03:59, 17 February 2018 (UTC)[reply]
Anyway, I've edited the article according to that understanding. It would be ideal for someone to look up a reference that has this rule, to see their entire system. — Carl (CBM · talk) 04:02, 17 February 2018 (UTC)[reply]