I've shown that they are in fact isomorphic. But I don't see how to show that the isomorphism that exists is unique.
Also, what if we are given two coproducts? Is then the isomorphism unique?
2026-05-06 03:14:09.1778037249
If $X$ and $X'$ are two products in a category $\mathcal{C}$, then is there a unique isomorphism between them?
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