% Mizar problem: t164_relat_1,relat_1,2638,5 
fof(t164_relat_1, conjecture,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (k10_xtuple_0(B)=k10_xtuple_0(A) => k10_xtuple_0(k3_relat_1(B, C))=k10_xtuple_0(k3_relat_1(A, C))) ) ) ) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k7_relat_1, axiom, $true).
fof(t127_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k10_xtuple_0(k3_relat_1(A, B))=k7_relat_1(B, k10_xtuple_0(A))) ) ) ) ).
