proposition: Lemma ge_1_mult_compat x y : 1 ≤ x -> 1 ≤ y -> 1 ≤ x * y.
proof: Proof. intros. apply ge_1_mult_le_compat_r; trivial. transitivity 1. - apply le_0_1. - trivial. Qed.
imports: HoTT.Classes.theory.apartness HoTT.Classes.interfaces.abstract_algebra HoTT.Classes.interfaces.orders HoTT.Classes.theory.rings HoTT.Classes.orders.orders HoTT.Classes.orders.maps