Give a careful proof for a skeptic that the indicated property of a binary structure (S, *)

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Give a careful proof for a skeptic that the indicated property of a binary structure (S, *) is indeed a structural property. (In Theorem 3.14, we did this for the property, "There is an identity element for*-")

For each c ∈ S, the equation x * x = c has a solution x in S.

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