% Mizar problem: t88_orders_1,orders_1,2636,60 
fof(t88_orders_1, conjecture,  (! [A] :  (v3_ordinal1(A) => k2_wellord2(k1_wellord2(A))=A) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(d2_wellord2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_wellord1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (B=k2_wellord2(A) <=> r4_wellord1(A, k1_wellord2(B))) ) ) ) ) ) ).
fof(d8_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r4_wellord1(A, B) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  & r3_wellord1(A, B, C)) ) ) ) ) ) ) ).
fof(dt_k1_wellord2, axiom,  (! [A] : v1_relat_1(k1_wellord2(A))) ).
fof(dt_k2_wellord2, axiom,  (! [A] :  (v1_relat_1(A) => v3_ordinal1(k2_wellord2(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_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(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(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(t38_wellord1, axiom,  (! [A] :  (v1_relat_1(A) => r4_wellord1(A, A)) ) ).
