% Mizar problem: t71_card_1,card_1,1952,5 
fof(t71_card_1, conjecture,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_card_1(k8_funct_4(A, B, C))=k1_card_1(A)) ) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(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(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k8_funct_4, axiom, $true).
fof(dt_k9_xtuple_0, axiom, $true).
fof(fc3_funct_4, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k8_funct_4(A, B, C)) & v1_funct_1(k8_funct_4(A, B, C))) ) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(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(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(t62_card_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_card_1(A)=k1_card_1(k9_xtuple_0(A))) ) ).
fof(t99_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k9_xtuple_0(k8_funct_4(A, B, C))=k9_xtuple_0(A)) ) ) ) ).
