{M : Type u_1} →
  {N : Type u_2} →
    {R : Type u_5} →
      [inst : Monoid R] →
        [inst_1 : AddMonoid M] →
          [inst_2 : AddMonoid N] → [DistribMulAction R M] → [DistribMulAction R N] → DistribMulAction R (M × N)