proposition: Lemma to_semiring_self `{Naturals N} (f : N -> N) `{!IsSemiRingPreserving f} x : f x = x.
proof: Proof. exact (to_semiring_unique_alt f id _). 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