% Mizar problem: t25_wellord1,wellord1,532,2 
fof(t25_wellord1, conjecture,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v2_wellord1(B) => v2_wellord1(k2_wellord1(B, A))) ) ) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_xboole_0, axiom, $true).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(dt_k2_wellord1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k2_wellord1(A, B))) ) ).
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_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(d6_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k2_wellord1(A, B)=k3_xboole_0(A, k2_zfmisc_1(B, B))) ) ) ).
fof(t15_wellord1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v1_relat_2(B) => v1_relat_2(k2_wellord1(B, A))) ) ) ) ).
fof(t16_wellord1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v6_relat_2(B) => v6_relat_2(k2_wellord1(B, A))) ) ) ) ).
fof(t17_wellord1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v8_relat_2(B) => v8_relat_2(k2_wellord1(B, A))) ) ) ) ).
fof(t18_wellord1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v4_relat_2(B) => v4_relat_2(k2_wellord1(B, A))) ) ) ) ).
fof(t24_wellord1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v1_wellord1(B) => v1_wellord1(k2_wellord1(B, A))) ) ) ) ).
