proposition: Lemma ge_1_mult_le_compat_l x y z : 1 ≤ z -> 0 ≤ y -> x ≤ y -> x ≤ z * y.
proof: Proof. rewrite (commutativity (f:=mult)). apply ge_1_mult_le_compat_r. 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