% Mizar problem: l17_afvect01,afvect01,307,9 
fof(l17_afvect01, conjecture,  ( ~ ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) => A=B) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) => r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, B, A)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, A, A) => A=B) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ( (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, E, F) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), C, D, E, F))  => r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, C, C, B)) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ( (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), E, A, E, B) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), E, C, E, D))  =>  (A=B |  (C=D | r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ~ ( ( ~ (A=B)  &  (! [C] :  (m1_subset_1(C, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ( ~ ( ( ~ (A=C)  & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, B, C)) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ~ ( ( ~ (D=E)  &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, D, E) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, D, D, B) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, E, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ( (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, B, F) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, C, D, E) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, D, D, C) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, E, E, C)) ) )  => r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, C, C, F)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ~ ( ( ~ (A=D)  &  ( ~ (B=C)  &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, B, D) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, C, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ~ ( ( ~ (E=F)  &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, C, E, F) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, E, E, C) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, F, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ~ ( (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, B, D, E) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, C, F, G) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, D, D, B) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, F, F, C) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, E, E, B) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), A, G, G, C) &  (! [H] :  (m1_subset_1(H, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ~ ( (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, C, H, I) &  (r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, H, H, C) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), B, I, I, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) =>  (v1_analoaf(A) => A=g1_analoaf(u1_struct_0(A), u1_analoaf(A))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(d10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) ) ) ) ).
fof(dt_c4__afvect01, axiom, m1_subset_1(c4__afvect01, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01)), k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01)))))).
fof(dt_g1_analoaf, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (v1_analoaf(g1_analoaf(A, B)) & l1_analoaf(g1_analoaf(A, B))) ) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_l1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_o_0_0_afvect01, axiom,  ( ~ (v7_struct_0(o_0_0_afvect01))  &  (v1_afvect0(o_0_0_afvect01) & l1_analoaf(o_0_0_afvect01)) ) ).
fof(dt_u1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) => m1_subset_1(u1_analoaf(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_analoaf, axiom,  (? [A] : l1_analoaf(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(fc1_afvect01, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  ( ~ (v2_struct_0(g1_analoaf(A, B)))  & v1_analoaf(g1_analoaf(A, B))) ) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(free_g1_analoaf, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (! [C, D] :  (g1_analoaf(A, B)=g1_analoaf(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(l10_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_diraf(A, B, C, C, G) &  (r2_diraf(A, C, D, E, F) &  (r2_diraf(A, C, E, E, D) & r2_diraf(A, C, F, F, D)) ) )  => r2_diraf(A, B, D, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(l11_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=E)  &  ( ~ (C=D)  &  (r2_diraf(A, B, C, C, E) &  (r2_diraf(A, B, D, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (F=G)  &  (r2_diraf(A, C, D, F, G) &  (r2_diraf(A, C, F, F, D) & r2_diraf(A, C, G, G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(l12_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, B, C, E, F) &  (r2_diraf(A, B, D, G, H) &  (r2_diraf(A, B, E, E, C) &  (r2_diraf(A, B, G, G, D) &  (r2_diraf(A, B, F, F, C) &  (r2_diraf(A, B, H, H, D) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, C, D, I, J) &  (r2_diraf(A, C, I, I, D) & r2_diraf(A, C, J, J, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(l16_afvect01, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(o_0_0_afvect01)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(o_0_0_afvect01)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(o_0_0_afvect01)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(o_0_0_afvect01)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01))) =>  ( (A=E &  (B=F &  (C=G & D=H) ) )  =>  (r2_diraf(o_0_0_afvect01, A, B, C, D) <=> r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01), c4__afvect01), E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(l4_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_diraf(A, B, C, C, B)) ) ) ) ) ) ).
fof(l5_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_diraf(A, B, C, D, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(l6_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_diraf(A, B, C, F, G) & r2_diraf(A, D, E, F, G))  => r2_diraf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(l7_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_diraf(A, B, D, D, C)) ) ) ) ) ) ) ) ).
fof(l8_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_diraf(A, F, B, F, C) & r2_diraf(A, F, D, F, E))  =>  (B=C |  (D=E | r2_diraf(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(l9_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=D)  & r2_diraf(A, B, C, C, D)) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (E=F)  &  (r2_diraf(A, B, C, E, F) &  (r2_diraf(A, B, E, E, C) & r2_diraf(A, B, F, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_afvect0, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) & v1_afvect0(A)) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
