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  • We also have that A???A=A???AA \coprod A = A \oplus A. That means that for a???Aa \in A, ??(a)=(a 1,a 2)\mu(a) = (a_1,a_2) for some a 1,a 2???Aa_1, a_2 \in A. Now, one of the laws says that ??\epsilon is a counit for ??\mu.
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