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Related #32
This can be done by formalising reducts of signatures and substructures. CMon has the same symbols but more equations than Mon, so every commutative monoid is a monoid.
Closed in 0ff92bdb19aba58e89e9690583a23f811cdcca95
https://api.github.com/pufferffish/agda-symmetries/blob/9ff03831af62533f27f14967803064cc565afa9e/Cubical/Structures/Set/CMon/Free.agda#L32