% Mizar problem: t35_int_1,int_1,1143,5 
fof(t35_int_1, conjecture,  (! [A] :  (v1_xreal_0(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k2_int_1(A), k1_int_1(A)))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(k2_int_1(A), k1_int_1(A))) ) ) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(dt_k1_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_int_1(k1_int_1(A))) ) ).
fof(dt_k2_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_int_1(k2_int_1(A))) ) ).
fof(projectivity_k1_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_int_1(k1_int_1(A))=k1_int_1(A)) ) ).
fof(projectivity_k2_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k2_int_1(k2_int_1(A))=k2_int_1(A)) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rd1_int_1, axiom,  (! [A] :  (v1_int_1(A) => k1_int_1(A)=A) ) ).
fof(rd2_int_1, axiom,  (! [A] :  (v1_int_1(A) => k2_int_1(A)=A) ) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(t26_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ ( ( ~ (r1_xxreal_0(A, k1_int_1(A)))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(A, k1_int_1(A))) ) ) ) ) ).
fof(t2_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, C))  => r1_xxreal_0(A, C)) ) ) ) ) ) ) ).
fof(t31_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k2_int_1(A), A))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(k2_int_1(A), A)) ) ) ) ) ).
