% Mizar problem: t26_ordinal2,ordinal2,1300,39 
fof(t26_ordinal2, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (k4_ordinal2(A)=k3_ordinal2(k10_xtuple_0(A)) & k5_ordinal2(A)=k2_ordinal2(k10_xtuple_0(A))) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(dt_k1_setfam_1, axiom, $true).
fof(dt_k2_ordinal1, axiom, $true).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k2_ordinal2, axiom,  (! [A] : v3_ordinal1(k2_ordinal2(A))) ).
fof(dt_k3_ordinal2, axiom,  (! [A] : v3_ordinal1(k3_ordinal2(A))) ).
fof(dt_k4_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => v3_ordinal1(k4_ordinal2(A))) ) ).
fof(dt_k5_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => v3_ordinal1(k5_ordinal2(A))) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(d2_ordinal2, axiom,  (! [A] : k2_ordinal2(A)=k1_setfam_1(k2_ordinal1(A))) ).
fof(d5_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => k4_ordinal2(A)=k3_ordinal2(k10_xtuple_0(A))) ) ).
fof(d6_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => k5_ordinal2(A)=k2_ordinal2(k10_xtuple_0(A))) ) ).
