% Mizar problem: t47_oposet_1,oposet_1,1003,76 
fof(t47_oposet_1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_oposet_1(A) )
     => ( ( v3_necklace(A)
          & v16_oposet_1(A) )
       => v17_oposet_1(A) ) ) ),
    inference(mizar_bg_added,[status(thm)],[cc10_oposet_1,cc16_oposet_1,cc17_oposet_1,cc1_oposet_1,cc4_oposet_1,cc5_oposet_1,cc9_oposet_1,d27_oposet_1,d28_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,t41_oposet_1,t42_oposet_1]),
    [file(oposet_1,t47_oposet_1)]).

fof(cc10_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_necklace(A)
          & v3_necklace(A) )
       => ( ~ v3_struct_0(A)
          & v2_necklace(A)
          & v8_oposet_1(A) ) ) ) ),
    file(oposet_1,cc10_oposet_1),
    []).

fof(cc16_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v17_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v16_oposet_1(A) ) ) ) ),
    file(oposet_1,cc16_oposet_1),
    []).

fof(cc17_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v16_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v5_oposet_1(A) ) ) ) ),
    file(oposet_1,cc17_oposet_1),
    []).

fof(cc1_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v3_necklace(A) )
       => ( ~ v3_struct_0(A)
          & v5_oposet_1(A) ) ) ) ),
    file(oposet_1,cc1_oposet_1),
    []).

fof(cc4_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v8_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_necklace(A) ) ) ) ),
    file(oposet_1,cc4_oposet_1),
    []).

fof(cc5_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v3_orders_2(A) )
       => ( ~ v3_struct_0(A)
          & v9_oposet_1(A) ) ) ) ),
    file(oposet_1,cc5_oposet_1),
    []).

fof(cc9_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v3_necklace(A)
          & v9_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v3_orders_2(A)
          & v9_oposet_1(A) ) ) ) ),
    file(oposet_1,cc9_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(d28_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_oposet_1(A) )
     => ( v17_oposet_1(A)
      <=> ( v8_oposet_1(A)
          & v3_orders_2(A) ) ) ) ),
    file(oposet_1,d28_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(t41_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( ( v3_necklace(A)
          & v9_oposet_1(A) )
       => v3_orders_2(A) ) ) ),
    file(oposet_1,t41_oposet_1),
    []).

fof(t42_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( ( v3_necklace(A)
          & v2_necklace(A) )
       => v8_oposet_1(A) ) ) ),
    file(oposet_1,t42_oposet_1),
    []).