% Mizar problem: t13_conmetr,conmetr,2013,5 
fof(t13_conmetr, conjecture,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( (v1_conmetr(A) & v1_conaffm(A))  => v2_conmetr(A)) ) ) ).
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(cc1_analmetr, axiom,  (! [A] :  (l2_analmetr(A) =>  ( ( ~ (v2_struct_0(A))  & v4_analmetr(A))  =>  ( ~ (v2_struct_0(A))  & v3_analmetr(A)) ) ) ) ).
fof(commutativity_k2_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_aff_1(A, B, C)=k2_aff_1(A, C, B)) ) ).
fof(d10_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(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)) =>  (r5_analmetr(A, B, C, D) <=> r2_analoaf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(d11_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k3_analmetr(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) <=> r5_analmetr(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r7_analmetr(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (D=E)  &  (B=k3_analmetr(A, D, E) & r6_analmetr(A, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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)) =>  (r1_aff_1(A, B, C, D) <=> r2_analoaf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(d1_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v1_conaffm(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)) =>  ( (r5_analmetr(A, B, C, D) &  (r5_analmetr(A, B, E, F) &  (r5_analmetr(A, B, G, H) &  (r2_analoaf(A, C, E, D, F) & r2_analoaf(A, C, G, D, H)) ) ) )  =>  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (r5_analmetr(A, E, F, C) |  (r5_analmetr(A, C, D, G) | r2_analoaf(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v2_conmetr(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)) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v5_analmetr(I, A) &  (v5_analmetr(J, A) &  (r2_hidden(B, I) &  (r2_hidden(C, I) &  (r2_hidden(D, I) &  (r2_hidden(E, I) &  (r2_hidden(B, J) &  (r2_hidden(F, J) &  (r2_hidden(G, J) &  (r2_hidden(H, J) &  (r2_analoaf(A, E, G, D, F) & r2_analoaf(A, E, H, C, F)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(G, I) |  (r2_hidden(E, J) |  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H | r2_analoaf(A, C, G, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  & B=k2_aff_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d4_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_aff_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  ( ~ (E=F)  &  (D=k2_aff_1(A, E, F) & r2_analoaf(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_aff_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_aff_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_analmetr(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_l1_analmetr, axiom,  (! [A] :  (l1_analmetr(A) => l1_struct_0(A)) ) ).
fof(dt_l1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_analmetr, axiom,  (! [A] :  (l2_analmetr(A) =>  (l1_analoaf(A) & l1_analmetr(A)) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
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_analmetr, axiom,  (? [A] : l1_analmetr(A)) ).
fof(existence_l1_analoaf, axiom,  (? [A] : l1_analoaf(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_analmetr, axiom,  (? [A] : l2_analmetr(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc2_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  ( ~ (v2_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  & v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc3_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  ( ~ (v7_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  &  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v1_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ) ).
fof(fc4_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( ~ (v7_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  &  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) &  (v1_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v2_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(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(irreflexivity_r10_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (r10_analmetr(A, B, B)) ) ) ).
fof(rc3_analmetr, axiom,  (? [A] :  (l2_analmetr(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc4_analmetr, axiom,  (? [A] :  (l1_analmetr(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(redefinition_k2_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_aff_1(A, B, C)=k1_aff_1(A, B, C)) ) ).
fof(redefinition_r10_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r10_analmetr(A, B, C) <=> r7_analmetr(A, B, C)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(redefinition_r5_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r5_aff_1(A, B, C) <=> r3_aff_1(A, B, C)) ) ) ).
fof(redefinition_r9_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r9_analmetr(A, B, C) <=> r8_analmetr(A, B, C)) ) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(symmetry_r10_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r10_analmetr(A, B, C) => r10_analmetr(A, C, B)) ) ) ).
fof(symmetry_r5_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r5_aff_1(A, B, C) => r5_aff_1(A, C, B)) ) ) ).
fof(symmetry_r9_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r9_analmetr(A, B, C) => r9_analmetr(A, C, B)) ) ) ).
fof(t14_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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)) =>  ( (r1_aff_1(A, E, C, D) & r2_analoaf(A, B, C, B, D))  =>  (r1_aff_1(A, E, B, C) | C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k2_aff_1(A, B, C)) & r2_tarski(C, k2_aff_1(A, B, C))) ) ) ) ) ) ) ).
fof(t18_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(D, A) &  (v1_aff_1(E, A) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  (r2_tarski(B, E) &  (r2_tarski(C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t21_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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)) =>  (r1_aff_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (v1_aff_1(E, A) &  (r2_tarski(B, E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(E, A) &  (r2_tarski(B, E) &  (r2_tarski(C, E) & r1_aff_1(A, B, C, D)) ) )  =>  (B=C | r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) & r2_analoaf(A, B, C, B, C)) ) ) ) ) ) ) ).
fof(t31_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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] :  ( (v1_aff_1(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r2_aff_1(A, B, C, F) & r2_aff_1(A, D, E, F))  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(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(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  ( (B=F &  (C=G &  (D=H & E=I) ) )  =>  (r2_analoaf(A, B, C, D, E) <=> r2_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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] :  ( (v1_aff_1(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [G] :  ( (v1_aff_1(G, A) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, G) & r2_tarski(E, G)) ) )  =>  (B=C |  (D=E |  (r3_aff_1(A, F, G) <=> r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, G) &  (r2_tarski(E, G) & r3_aff_1(A, F, G)) ) ) )  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (v4_analmetr(A) <=>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  (! [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)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) &  (r2_analoaf(A, B, C, D, D) &  ( ~ ( (r2_analoaf(A, B, C, F, G) &  (r2_analoaf(A, B, C, H, I) &  ( ~ (r2_analoaf(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( (r2_analoaf(A, B, C, B, D) => r2_analoaf(A, C, B, C, D))  &  ( (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, J) & r2_analoaf(A, B, D, C, J)) ) )  &  ( ~ ( (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) => r2_analoaf(A, J, K, J, L)) ) ) ) ) ) )  &  ( (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, J) &  ~ (D=J) ) ) )  &  ( ~ ( (r2_analoaf(A, B, C, C, E) &  ( ~ (C=B)  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, D, C, C, J) & r2_analoaf(A, D, B, E, J)) ) ) ) ) ) )  &  ( (r4_analmetr(A, B, C, B, C) => B=C)  &  (r4_analmetr(A, B, C, D, D) &  ( (r4_analmetr(A, B, C, D, E) =>  (r4_analmetr(A, B, C, E, D) & r4_analmetr(A, D, E, B, C)) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) &  (r2_analoaf(A, B, C, H, I) &  ( ~ (r4_analmetr(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) &  (r4_analmetr(A, B, C, H, I) &  ( ~ (r2_analoaf(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r4_analmetr(A, B, C, D, J) &  ~ (D=J) ) ) )  &  ~ ( ( ~ (r2_analoaf(A, B, C, D, E))  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, B, J) & r2_analoaf(A, D, E, D, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t40_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, D) &  (r2_tarski(C, D) & r3_aff_1(A, D, E)) )  => r2_aff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(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(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  ( (B=E &  (C=F & D=G) )  =>  (r5_analmetr(A, B, C, D) <=> r1_aff_1(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  ( (! [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_analoaf(A, B, C, C, B) &  (r2_analoaf(A, B, C, D, D) &  ( ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, F, G))  =>  (B=C | r2_analoaf(A, D, E, F, G)) )  &  (r2_analoaf(A, B, C, B, D) => r2_analoaf(A, C, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ ( (! [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_analoaf(A, B, C, B, D)) ) ) ) ) ) )  &  ( (! [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)) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) )  &  ( (! [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)) &  (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) )  &  (! [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)) =>  ~ ( (r2_analoaf(A, D, B, B, E) &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  ( (v1_aff_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => r3_aff_1(A, B, B)) ) ) ) ).
fof(t43_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) =>  (B=C =>  (v5_analmetr(B, A) <=> v1_aff_1(C, g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ) ) ) ) ) ).
fof(t46_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) =>  ( (B=D & C=E)  =>  (r8_analmetr(A, B, C) <=> r5_aff_1(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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)) =>  (r2_analoaf(A, B, C, D, E) =>  (r2_analoaf(A, B, C, E, D) &  (r2_analoaf(A, C, B, D, E) &  (r2_analoaf(A, C, B, E, D) &  (r2_analoaf(A, D, E, B, C) &  (r2_analoaf(A, D, E, C, B) &  (r2_analoaf(A, E, D, B, C) & r2_analoaf(A, E, D, C, 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(t52_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r10_analmetr(A, B, C) & r9_analmetr(A, B, D))  => r10_analmetr(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t55_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(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_tarski(C, B) &  (r2_tarski(D, B) & v5_analmetr(B, A)) )  =>  (C=D |  ( ( ~ (r4_analmetr(A, C, D, E, F))  &  ~ (r4_analmetr(A, E, F, C, D)) )  | r6_analmetr(A, E, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(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_tarski(D, B) &  (r2_tarski(E, B) &  (r2_tarski(F, C) &  (r2_tarski(G, C) & r10_analmetr(A, B, C)) ) ) )  => r4_analmetr(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(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, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(D, A) &  ( ~ (r2_aff_1(A, B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, D) & r1_aff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(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)) =>  (r2_analoaf(A, B, C, D, E) =>  (r2_analoaf(A, B, C, E, D) &  (r2_analoaf(A, C, B, D, E) &  (r2_analoaf(A, C, B, E, D) &  (r2_analoaf(A, D, E, B, C) &  (r2_analoaf(A, D, E, C, B) &  (r2_analoaf(A, E, D, B, C) & r2_analoaf(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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)) =>  ~ ( ( ~ (B=C)  &  ( ~ ( ( ~ ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, F, G, B, C)) )  &  ( ~ ( (r2_analoaf(A, D, E, B, C) & r2_analoaf(A, F, G, B, C)) )  &  ~ ( (r2_analoaf(A, D, E, B, C) & r2_analoaf(A, B, C, F, G)) ) ) ) ) )  &  ~ (r2_analoaf(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(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)) =>  ~ ( ( ~ (F=G)  &  ( ~ ( ( ~ ( (r2_analoaf(A, F, G, B, C) & r2_analoaf(A, F, G, D, E)) )  &  ( ~ ( (r2_analoaf(A, F, G, B, C) & r2_analoaf(A, D, E, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, D, E, F, G)) )  &  ~ ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, F, G, D, E)) ) ) ) ) )  &  ~ (r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(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)) =>  ~ ( ( ~ (F=G)  &  ( ~ ( ( ~ ( (r2_analoaf(A, F, G, B, C) & r4_analmetr(A, F, G, D, E)) )  &  ( ~ ( (r2_analoaf(A, F, G, D, E) & r4_analmetr(A, F, G, B, C)) )  &  ( ~ ( (r2_analoaf(A, F, G, B, C) & r4_analmetr(A, D, E, F, G)) )  &  ( ~ ( (r2_analoaf(A, F, G, D, E) & r4_analmetr(A, B, C, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, F, G) & r4_analmetr(A, D, E, F, G)) )  &  ( ~ ( (r2_analoaf(A, D, E, F, G) & r4_analmetr(A, B, C, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, F, G) & r4_analmetr(A, F, G, D, E)) )  &  ~ ( (r2_analoaf(A, D, E, F, G) & r4_analmetr(A, F, G, B, C)) ) ) ) ) ) ) ) ) )  &  ~ (r4_analmetr(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(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)) =>  ~ ( ( ~ (F=G)  &  ( ~ ( ( ~ ( (r4_analmetr(A, F, G, B, C) & r4_analmetr(A, F, G, D, E)) )  &  ( ~ ( (r4_analmetr(A, F, G, B, C) & r4_analmetr(A, D, E, F, G)) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) & r4_analmetr(A, D, E, F, G)) )  &  ~ ( (r4_analmetr(A, B, C, F, G) & r4_analmetr(A, F, G, D, E)) ) ) ) ) )  &  ~ (r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(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)) =>  (r1_aff_1(A, B, C, D) =>  (r1_aff_1(A, B, D, C) &  (r1_aff_1(A, C, B, D) &  (r1_aff_1(A, C, D, B) &  (r1_aff_1(A, D, B, C) & r1_aff_1(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_aff_1(A, B, B, C) &  (r1_aff_1(A, B, C, C) & r1_aff_1(A, B, C, B)) ) ) ) ) ) ) ) ).
