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b(to)h(a)n(v)n(oid)e(suc)n(h)i(pathological)e(cases,)h(w)n(e)h(require)f(that)h(the)h(relation)e(for)g(whic)n(h)h(one)523 2004 y(w)n(an)n(ts)36 b(to)h(emplo)n(y)f(the)i(v)-5b(ariable)36 b(con)n(v)n(en)n(tion)f(m)n(ust)i(b)r(e)h(in)n(v)-5b(arian)n(t)35 b(under)i(renamings;)523 2104 y(from)28b(the)h(induction)g(w)n(e)g(require)e(that)i(the)g(v)-5b(ariable)27 b(con)n(v)n(en)n(tion)h(can)g(only)g(b)r(e)h(applied)5232203 y(in)f(con)n(texts)f(where)g(there)g(are)g(only)g(\014nitely)h(man)n(y)f(free)h(names.)648 2295 y(Ho)n(w)n(ev)n(er,)g(these)j(t)n(w)n(o)f(requiremen)n(ts)f(are)h Fs(not)38 b Fz(y)n(et)30b(su\016cien)n(t,)h(and)g(w)n(e)f(need)h(to)f(im-)5232386 y(p)r(ose)f(a)g(second)g(condition)h(that)g(inductiv)n(e)f(de\014nitions)h(ha)n(v)n(e)e(to)i(satisfy)-7 b(.)29b(Consider)g(the)523 2477 y(function)f(that)g(tak)n(es)f(a)g(list)h(of)f(v)-5 b(ariables)27 b(and)g(binds)h(them)g(in)g Fr(\025)pFz(-abstractions,)e(that)i(is)1034 2657 y Fk(bind)i Fn(t)21b Fw([)13 b(])1352 2614 y Fy(def)1365 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