∀ {M : Type u_1} [inst : Monoid M] [inst_1 : StarMul M] (x : ↥(unitary M)),
  ⟨↑↑⟨{ val := ↑x, inv := star ↑x, val_inv := ⋯, inv_val := ⋯ }, ⋯⟩, ⋯⟩ =
    ⟨↑↑⟨{ val := ↑x, inv := star ↑x, val_inv := ⋯, inv_val := ⋯ }, ⋯⟩, ⋯⟩