(R : Type u_1) →
  (E₁ : Type u_2) →
    (E₂ : Type u_3) →
      {inst : Semiring R} →
        {inst_1 : AddCommMonoid E₁} →
          {inst_2 : PartialOrder E₁} →
            {inst_3 : AddCommMonoid E₂} →
              {inst_4 : PartialOrder E₂} →
                {inst_5 : Module R E₁} →
                  {inst_6 : Module R E₂} → [SizeOf R] → [SizeOf E₁] → [SizeOf E₂] → SizeOf (E₁ →ₚ[R] E₂)