% Mizar problem: t6_e_siec,e_siec,151,38 
fof(t6_e_siec, conjecture,  (! [A] :  (u1_struct_0(k2_e_siec(A))=A &  (u1_e_siec(k2_e_siec(A))=k4_relat_1(A) & u2_e_siec(k2_e_siec(A))=k4_relat_1(A)) ) ) ).
fof(free_g1_e_siec, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & v1_relat_1(C))  =>  (! [D, E, F] :  (g1_e_siec(A, B, C)=g1_e_siec(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(abstractness_v1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) =>  (v1_e_siec(A) => A=g1_e_siec(u1_struct_0(A), u1_e_siec(A), 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(dt_g1_e_siec, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & v1_relat_1(C))  =>  (v1_e_siec(g1_e_siec(A, B, C)) & l1_e_siec(g1_e_siec(A, B, C))) ) ) ).
fof(dt_l1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(rc1_e_siec, axiom,  (? [A] :  (l1_e_siec(A) & v1_e_siec(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(rc4_e_siec, axiom,  (? [A] :  (l1_e_siec(A) &  (v1_e_siec(A) &  (v2_e_siec(A) & v3_e_siec(A)) ) ) ) ).
fof(dt_k2_e_siec, axiom,  (! [A] :  (v1_e_siec(k2_e_siec(A)) &  (v2_e_siec(k2_e_siec(A)) &  (v3_e_siec(k2_e_siec(A)) & l1_e_siec(k2_e_siec(A))) ) ) ) ).
fof(dt_k4_relat_1, axiom,  (! [A] : v1_relat_1(k4_relat_1(A))) ).
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(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(d4_e_siec, axiom,  (! [A] : k2_e_siec(A)=g1_e_siec(A, k4_relat_1(A), k4_relat_1(A))) ).
