% Mizar problem: t126_orders_1,orders_1,591,50 
fof(t126_orders_1,conjecture,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r2_orders_1(A,B)
         => r1_orders_1(A,B) ) ) ),
    inference(mizar_bg_added,[status(thm)],[d6_orders_1,d7_orders_1]),
    [file(orders_1,t126_orders_1)]).

fof(d6_orders_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r1_orders_1(A,B)
        <=> ( r1_relat_2(A,B)
            & r8_relat_2(A,B) ) ) ) ),
    file(orders_1,d6_orders_1),
    []).

fof(d7_orders_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r2_orders_1(A,B)
        <=> ( r1_relat_2(A,B)
            & r8_relat_2(A,B)
            & r4_relat_2(A,B) ) ) ) ),
    file(orders_1,d7_orders_1),
    []).