% Mizar problem: t60_int_1,int_1,1115,40 
fof(t60_int_1,conjecture,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( ~ ( ~ r1_xreal_0(k2_int_1(A),k1_int_1(A))
            & v1_int_1(A) )
        & ~ ( ~ v1_int_1(A)
            & r1_xreal_0(k2_int_1(A),k1_int_1(A)) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[cc2_xreal_0,cc4_int_1,connectedness_r1_xreal_0,dt_k1_int_1,dt_k2_int_1,rc1_xcmplx_0,rc1_xreal_0,rc2_int_1,reflexivity_r1_xreal_0,t2_xreal_1,t48_int_1,t55_int_1,t59_int_1]),
    [file(int_1,t60_int_1)]).

fof(cc2_xreal_0,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    []).

fof(cc4_int_1,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(int_1,cc4_int_1),
    []).

fof(connectedness_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( r1_xreal_0(A,B)
        | r1_xreal_0(B,A) ) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(dt_k1_int_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_int_1(k1_int_1(A)) ) ),
    file(int_1,k1_int_1),
    []).

fof(dt_k2_int_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_int_1(k2_int_1(A)) ) ),
    file(int_1,k2_int_1),
    []).

fof(rc1_xcmplx_0,axiom,(
    ? [A] : v1_xcmplx_0(A) ),
    file(xcmplx_0,rc1_xcmplx_0),
    []).

fof(rc1_xreal_0,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    []).

fof(rc2_int_1,axiom,(
    ? [A] : v1_int_1(A) ),
    file(int_1,rc2_int_1),
    []).

fof(reflexivity_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(t2_xreal_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ! [C] : 
              ( v1_xreal_0(C)
             => ( ( r1_xreal_0(A,B)
                  & r1_xreal_0(B,C) )
               => r1_xreal_0(A,C) ) ) ) ) ),
    file(xreal_1,t2_xreal_1),
    []).

fof(t48_int_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( ~ ( ~ r1_xreal_0(A,k1_int_1(A))
            & v1_int_1(A) )
        & ~ ( ~ v1_int_1(A)
            & r1_xreal_0(A,k1_int_1(A)) ) ) ) ),
    file(int_1,t48_int_1),
    []).

fof(t55_int_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( ~ ( ~ r1_xreal_0(k2_int_1(A),A)
            & v1_int_1(A) )
        & ~ ( ~ v1_int_1(A)
            & r1_xreal_0(k2_int_1(A),A) ) ) ) ),
    file(int_1,t55_int_1),
    []).

fof(t59_int_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( k1_int_1(A) = k2_int_1(A)
      <=> v1_int_1(A) ) ) ),
    file(int_1,t59_int_1),
    []).