proposition: Lemma from_full_pseudo_ring_order: FullPseudoSemiRingOrder (≤) (<).
proof: Proof. split. now apply from_pseudo_ring_order. now apply le_iff_not_lt_flip. Qed.
imports: Coq.setoid_ring.Ring MathClasses.interfaces.abstract_algebra MathClasses.interfaces.orders MathClasses.theory.rings MathClasses.orders.semirings