proposition: Lemma to_ring_unique_alt `{Integers Z} `{IsRing R} (f g: Z -> R) `{!IsSemiRingPreserving f} `{!IsSemiRingPreserving g} x : f x = g x.
proof: Proof. rewrite (to_ring_unique f), (to_ring_unique g);reflexivity. Qed.
imports: HoTT.Basics.Decidable HoTT.Classes.theory.nat_distance HoTT.Classes.implementations.peano_naturals HoTT.Classes.interfaces.naturals HoTT.Classes.interfaces.orders HoTT.Classes.implementations.natpair_integers HoTT.Classes.theory.rings HoTT.Classes.isomorphisms.rings HoTT.Classes.interfaces.integers