Definition ringmultx0_is {X : UU} {opp1 opp2 : binop X} (is : isringops opp1 opp2) : ∏ (x : X), opp2 x (unel_is (pr1 (ringop1axs_is is))) = unel_is (pr1 (ringop1axs_is is)) := multx0_is_l (ringop1axs_is is) (ringop2axs_is is) (ringdistraxs_is is).