Like David said, the proof is almost identical to the earlier one for R-matrices:
r(xotimes1)=rcirc(idotimesmu)(xotimes1otimes1)=(r13astr12)(xotimes1otimes1)=sumr(x′otimes1)r(x″otimes1)=(rastr)(xotimes1).
Since r is invertible, r(xotimes1)=epsilon(x).
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