proposition: Lemma to_semiring_twice `{Naturals N} `{IsSemiRing R1} `{IsSemiRing R2} (f : R1 -> R2) (g : N -> R1) (h : N -> R2) `{!IsSemiRingPreserving f} `{!IsSemiRingPreserving g} `{!IsSemiRingPreserving h} x : f (g x) = h x.
proof: Proof. exact (to_semiring_unique_alt (f ∘ g) h _). 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