% Mizar problem: t19_ordinal6,ordinal6,455,7 
fof(t19_ordinal6, conjecture,  (! [A] :  (v1_ordinal6(A) => k10_xtuple_0(k2_ordinal6(A))=A) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => v1_ordinal6(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(d4_ordinal6, axiom,  (! [A] : k1_ordinal6(A)=k2_wellord2(k1_wellord2(k2_ordinal1(A)))) ).
fof(d5_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) => k1_ordinal6(A)=k2_wellord2(k1_wellord2(A))) ) ).
fof(d6_ordinal6, axiom,  (! [A] : k2_ordinal6(A)=k3_wellord1(k1_wellord2(k1_ordinal6(A)), k1_wellord2(k2_ordinal1(A)))) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k1_ordinal6, axiom,  (! [A] : v3_ordinal1(k1_ordinal6(A))) ).
fof(dt_k1_wellord2, axiom,  (! [A] : v1_relat_1(k1_wellord2(A))) ).
fof(dt_k2_ordinal1, axiom, $true).
fof(dt_k2_ordinal6, axiom,  (! [A] :  (v1_relat_1(k2_ordinal6(A)) &  (v1_funct_1(k2_ordinal6(A)) &  (v5_ordinal1(k2_ordinal6(A)) & v1_ordinal2(k2_ordinal6(A))) ) ) ) ).
fof(dt_k2_wellord2, axiom,  (! [A] :  (v1_relat_1(A) => v3_ordinal1(k2_wellord2(A))) ) ).
fof(dt_k3_wellord1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  =>  (v1_relat_1(k3_wellord1(A, B)) & v1_funct_1(k3_wellord1(A, B))) ) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(fc1_ordinal6, axiom,  (! [A] : v1_ordinal6(k2_ordinal1(A))) ).
fof(fc1_wellord2, axiom,  (! [A] :  (v1_relat_1(k1_wellord2(A)) & v1_relat_2(k1_wellord2(A))) ) ).
fof(fc2_wellord2, axiom,  (! [A] :  (v1_relat_1(k1_wellord2(A)) & v8_relat_2(k1_wellord2(A))) ) ).
fof(fc3_wellord2, axiom,  (! [A] :  (v1_relat_1(k1_wellord2(A)) & v4_relat_2(k1_wellord2(A))) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) )  => v1_ordinal6(k10_xtuple_0(A))) ) ).
fof(fc4_wellord2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_relat_1(k1_wellord2(A)) & v6_relat_2(k1_wellord2(A))) ) ) ).
fof(fc5_wellord2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_relat_1(k1_wellord2(A)) & v1_wellord1(k1_wellord2(A))) ) ) ).
fof(fc8_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (v1_relat_1(k1_wellord2(A)) & v2_wellord1(k1_wellord2(A))) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_ordinal6, axiom,  (? [A] : v1_ordinal6(A)) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_ordinal2, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) ) ) ).
fof(t18_ordinal6, axiom,  (! [A] :  (k9_xtuple_0(k2_ordinal6(A))=k1_ordinal6(A) & k10_xtuple_0(k2_ordinal6(A))=k2_ordinal1(A)) ) ).
fof(t2_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) <=> k2_ordinal1(A)=A) ) ).
