% Mizar problem: t45_xxreal_2,xxreal_2,1262,2 
fof(t45_xxreal_2, conjecture,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  ( (r1_tarski(A, B) & v5_xxreal_2(B))  => v5_xxreal_2(A)) ) ) ) ) ).
fof(cc2_finsub_1, axiom,  (! [A] :  ( (v1_finsub_1(A) & v3_finsub_1(A))  => v4_finsub_1(A)) ) ).
fof(cc1_finsub_1, axiom,  (! [A] :  (v4_finsub_1(A) =>  (v1_finsub_1(A) & v3_finsub_1(A)) ) ) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(fc1_finsub_1, axiom,  (! [A] : v4_finsub_1(k1_zfmisc_1(A))) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(cc4_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc5_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) )  =>  (v2_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t43_xxreal_2, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  ( (r1_tarski(A, B) & v4_xxreal_2(B))  => v4_xxreal_2(A)) ) ) ) ) ).
fof(t44_xxreal_2, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  ( (r1_tarski(A, B) & v3_xxreal_2(B))  => v3_xxreal_2(A)) ) ) ) ) ).
