% Mizar problem: t11_wellord2,wellord2,300,5 
fof(t11_wellord2, conjecture,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r4_wellord1(A, k1_wellord2(B)) & r4_wellord1(A, k1_wellord2(C)))  => B=C) ) ) ) ) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_wellord1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_wellord1(A))  =>  (v1_relat_1(A) &  (v1_relat_2(A) &  (v4_relat_2(A) &  (v6_relat_2(A) &  (v8_relat_2(A) & v1_wellord1(A)) ) ) ) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_wellord1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_relat_2(A) &  (v4_relat_2(A) &  (v6_relat_2(A) &  (v8_relat_2(A) & v1_wellord1(A)) ) ) ) )  =>  (v1_relat_1(A) & v2_wellord1(A)) ) ) ).
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(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(t10_wellord2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r4_wellord1(k1_wellord2(A), k1_wellord2(B)) => A=B) ) ) ) ) ).
fof(t40_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r4_wellord1(A, B) => r4_wellord1(B, A)) ) ) ) ) ).
fof(t42_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  ( (r4_wellord1(A, B) & r4_wellord1(B, C))  => r4_wellord1(A, C)) ) ) ) ) ) ) ).
