proposition: Lemma to_semiring_unique `{Naturals N} `{IsSemiRing SR} (f: N -> SR) `{!IsSemiRingPreserving f} x : f x = naturals_to_semiring N SR x.
proof: Proof. symmetry. apply naturals_initial. Qed.
imports: HoTT.Basics.Decidable HoTT.Classes.interfaces.orders HoTT.Classes.implementations.peano_naturals HoTT.Classes.theory.rings HoTT.Classes.isomorphisms.rings HoTT.Classes.interfaces.naturals