% Mizar problem: t124_orders_1,orders_1,573,63 
fof(t124_orders_1,conjecture,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r2_wellord1(A,B)
         => ( r1_orders_1(A,B)
            & r2_orders_1(A,B)
            & r3_orders_1(A,B) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[d5_wellord1,d6_orders_1,d7_orders_1,d8_orders_1]),
    [file(orders_1,t124_orders_1)]).

fof(d5_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r2_wellord1(A,B)
        <=> ( r1_relat_2(A,B)
            & r8_relat_2(A,B)
            & r4_relat_2(A,B)
            & r6_relat_2(A,B)
            & r1_wellord1(A,B) ) ) ) ),
    file(wellord1,d5_wellord1),
    []).

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),
    []).

fof(d8_orders_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r3_orders_1(A,B)
        <=> ( r1_relat_2(A,B)
            & r8_relat_2(A,B)
            & r4_relat_2(A,B)
            & r6_relat_2(A,B) ) ) ) ),
    file(orders_1,d8_orders_1),
    []).