proposition: Lemma nat_ne_0_ge_1 x : x <> 0 <-> 1 ≤ x.
proof: Proof. etransitivity. - apply nat_ne_0_pos. - apply pos_ge_1. 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