∀ {Γ : Type u_1} {R : Type u_2} [inst : LinearOrder Γ] [inst_1 : LinearOrder R] [inst_2 : AddCommGroup R]
  [inst_3 : IsOrderedAddMonoid R] {x y : Lex (HahnSeries Γ R)}
  (motive :
    (ofLex x).orderTop = (ofLex y).orderTop ∧
        ArchimedeanClass.mk (ofLex x).leadingCoeff = ArchimedeanClass.mk (ofLex y).leadingCoeff →
      Prop)
  (h :
    (ofLex x).orderTop = (ofLex y).orderTop ∧
      ArchimedeanClass.mk (ofLex x).leadingCoeff = ArchimedeanClass.mk (ofLex y).leadingCoeff),
  (∀ (horder : (ofLex x).orderTop = (ofLex y).orderTop)
      (hcoeff : ArchimedeanClass.mk (ofLex x).leadingCoeff = ArchimedeanClass.mk (ofLex y).leadingCoeff), motive ⋯) →
    motive h