proposition: Lemma nat_0_or_ge_1 x : x = 0 |_| 1 ≤ x.
proof: Proof. destruct (nat_0_or_pos x);auto. right;apply pos_ge_1. trivial. Qed.
imports: HoTT.Types.Sigma HoTT.Classes.theory.naturals HoTT.Classes.interfaces.abstract_algebra HoTT.Classes.interfaces.orders HoTT.Classes.theory.rings HoTT.Classes.orders.rings HoTT.Classes.implementations.peano_naturals HoTT.Classes.orders.nat_int