% Mizar problem: t40_int_1,int_1,1169,27 
fof(t40_int_1, conjecture,  (! [A] :  (v1_xreal_0(A) => k2_int_1(k1_int_1(A))=k1_int_1(A)) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(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_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(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(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(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(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(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
