% Mizar problem: t46_oposet_1,oposet_1,990,58 
fof(t46_oposet_1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_oposet_1(A) )
     => ( v16_oposet_1(A)
       => v5_oposet_1(A) ) ) ),
    inference(mizar_bg_added,[status(thm)],[d27_oposet_1,dt_l1_oposet_1,dt_l1_orders_2,dt_l1_robbins1,dt_l1_struct_0,existence_l1_oposet_1,existence_l1_orders_2,existence_l1_robbins1,existence_l1_struct_0,rc3_struct_0,t37_oposet_1]),
    [file(oposet_1,t46_oposet_1)]).

fof(d27_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_oposet_1(A) )
     => ( v16_oposet_1(A)
      <=> ( v2_necklace(A)
          & v9_oposet_1(A) ) ) ) ),
    file(oposet_1,d27_oposet_1),
    []).

fof(dt_l1_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( l1_orders_2(A)
        & l1_robbins1(A) ) ) ),
    file(oposet_1,l1_oposet_1),
    []).

fof(dt_l1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => l1_struct_0(A) ) ),
    file(orders_2,l1_orders_2),
    []).

fof(dt_l1_robbins1,axiom,(
    ! [A] : 
      ( l1_robbins1(A)
     => l1_struct_0(A) ) ),
    file(robbins1,l1_robbins1),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_l1_oposet_1,axiom,(
    ? [A] : l1_oposet_1(A) ),
    file(oposet_1,l1_oposet_1),
    []).

fof(existence_l1_orders_2,axiom,(
    ? [A] : l1_orders_2(A) ),
    file(orders_2,l1_orders_2),
    []).

fof(existence_l1_robbins1,axiom,(
    ? [A] : l1_robbins1(A) ),
    file(robbins1,l1_robbins1),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(t37_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( v2_necklace(A)
       => v5_oposet_1(A) ) ) ),
    file(oposet_1,t37_oposet_1),
    []).