% Mizar problem: t8_ff_siec,ff_siec,144,67 
fof(t8_ff_siec,conjecture,(
    ! [A] : 
      ( ( v2_net_1(A)
        & l1_net_1(A) )
     => ( r1_tarski(u1_net_1(A),k1_net_1(A))
        & r1_tarski(u2_net_1(A),k1_net_1(A)) ) ) ),
    inference(mizar_bg_added,[status(thm)],[existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,reflexivity_r1_tarski,existence_l1_net_1,dt_k1_net_1,dt_l1_net_1,dt_u1_net_1,dt_u2_net_1,t3_subset,t4_net_1,t5_net_1]),
    [file(ff_siec,t8_ff_siec)]).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(existence_l1_net_1,axiom,(
    ? [A] : l1_net_1(A) ),
    file(net_1,l1_net_1),
    []).

fof(dt_k1_net_1,axiom,(
    $true ),
    file(net_1,k1_net_1),
    []).

fof(dt_l1_net_1,axiom,(
    $true ),
    file(net_1,l1_net_1),
    []).

fof(dt_u1_net_1,axiom,(
    $true ),
    file(net_1,u1_net_1),
    []).

fof(dt_u2_net_1,axiom,(
    $true ),
    file(net_1,u2_net_1),
    []).

fof(t3_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    []).

fof(t4_net_1,axiom,(
    ! [A] : 
      ( l1_net_1(A)
     => r1_tarski(u1_net_1(A),k1_net_1(A)) ) ),
    file(net_1,t4_net_1),
    []).

fof(t5_net_1,axiom,(
    ! [A] : 
      ( l1_net_1(A)
     => r1_tarski(u2_net_1(A),k1_net_1(A)) ) ),
    file(net_1,t5_net_1),
    []).