% Mizar problem: t33_e_siec,e_siec,1028,5 
fof(t33_e_siec, conjecture,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_zfmisc_1(k7_e_siec(A), k8_e_siec(A))) & r1_tarski(k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_zfmisc_1(k7_e_siec(A), k8_e_siec(A)))) ) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(d10_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k8_e_siec(A)=k4_xboole_0(u1_struct_0(A), k7_e_siec(A))) ) ).
fof(d9_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k7_e_siec(A)=k10_xtuple_0(u1_e_siec(A))) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => v1_relat_1(k2_relat_1(A))) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k4_relat_1, axiom,  (! [A] : v1_relat_1(k4_relat_1(A))) ).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k7_e_siec, axiom, $true).
fof(dt_k8_e_siec, axiom, $true).
fof(dt_l1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => v1_relat_1(u1_e_siec(A))) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => v1_relat_1(u2_e_siec(A))) ) ).
fof(existence_l1_e_siec, axiom,  (? [A] : l1_e_siec(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc28_relat_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v4_relat_1(k4_relat_1(A), A) & v5_relat_1(k4_relat_1(A), A)) ) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(involutiveness_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k2_relat_1(k2_relat_1(A))=A) ) ).
fof(rc2_e_siec, axiom,  (? [A] :  (l1_e_siec(A) & v2_e_siec(A)) ) ).
fof(rc3_e_siec, axiom,  (? [A] :  (l1_e_siec(A) & v3_e_siec(A)) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rd2_relat_1, axiom,  (! [A] : k10_xtuple_0(k4_relat_1(A))=A) ).
fof(rd3_relat_1, axiom,  (! [A] : k2_relat_1(k4_relat_1(A))=k4_relat_1(A)) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(t18_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))), k2_zfmisc_1(k8_e_siec(A), k7_e_siec(A))) & r1_tarski(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))), k2_zfmisc_1(k8_e_siec(A), k7_e_siec(A)))) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_sysrel, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(C, k2_zfmisc_1(A, B)) => r1_tarski(k2_relat_1(C), k2_zfmisc_1(B, A))) ) ) ) ) ).
