∀ {R : Type u_1} [inst : CommRing R] [inst_1 : ValuativeRel R] (x y : R) (t s : ↥(ValuativeRel.posSubmonoid R)),
  (ValuativeRel.ValueGroupWithZero.mk x t < ValuativeRel.ValueGroupWithZero.mk y s) = (x * ↑s <ᵥ y * ↑t)