∀ (α : Type u_2) (β : Type u_3) (γ : Type u_4) [inst : Field α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α]
  [inst_3 : ConditionallyCompleteLinearOrderedField β] [inst_4 : ConditionallyCompleteLinearOrderedField γ]
  [Archimedean α] (a : α),
  LinearOrderedField.inducedMap β γ (LinearOrderedField.inducedMap α β a) = LinearOrderedField.inducedMap α γ a