∀ {α : Type u_1} {R : Type u_2} [inst : Add R] [inst_1 : Mul R] [inst_2 : Neg R] [inst_3 : One R] [inst_4 : Zero R]
  [inst_5 : FirstOrder.Ring.CompatibleRing R] (x y : FirstOrder.Language.ring.Term α) (v : α → R),
  FirstOrder.Language.Term.realize v (x + y) =
    FirstOrder.Language.Term.realize v x + FirstOrder.Language.Term.realize v y