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$\begingroup$ Nice trick, but this way we lose the notation for record construction. $\endgroup$
– Jon
Commented Oct 2, 2023 at 8:47
$\begingroup$ Indeed, although I would argue that you do not define new instances of algebraic structures all that often so it is not too bad. A possibility if you really want to regain the notation is to define a structure pre_SG with only the oper and assoc fields, and have SG_builder {A : Type} (g : pre_SG A) : SG A. $\endgroup$
– Meven Lennon-Bertrand ♦
Commented Oct 3, 2023 at 8:07

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