SET007 Axioms: SET007+802.ax


%------------------------------------------------------------------------------
% File     : SET007+802 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Banach Space of Bounded Linear Operators
% Version  : [Urb08] axioms.
% English  :

% Refs     : [Mat90] Matuszewski (1990), Formalized Mathematics
%          : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
%          : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb08]
% Names    : lopban_1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  104 (   2 unit)
%            Number of atoms       : 1748 (  74 equality)
%            Maximal formula depth :   26 (  14 average)
%            Number of connectives : 1860 ( 216 ~  ;   0  |;1343  &)
%                                         (  24 <=>; 277 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   37 (   1 propositional; 0-4 arity)
%            Number of functors    :   55 (   4 constant; 0-6 arity)
%            Number of variables   :  342 (   0 singleton; 334 !;   8 ?)
%            Maximal term depth    :    7 (   1 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(fc1_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k5_lopban_1(A,B))
        & v2_rlvect_1(k5_lopban_1(A,B))
        & v3_rlvect_1(k5_lopban_1(A,B))
        & v4_rlvect_1(k5_lopban_1(A,B))
        & v5_rlvect_1(k5_lopban_1(A,B))
        & v6_rlvect_1(k5_lopban_1(A,B))
        & v7_rlvect_1(k5_lopban_1(A,B)) ) ) )).

fof(fc2_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k5_lopban_1(A,B))
        & v2_rlvect_1(k5_lopban_1(A,B))
        & v3_rlvect_1(k5_lopban_1(A,B))
        & v4_rlvect_1(k5_lopban_1(A,B))
        & v5_rlvect_1(k5_lopban_1(A,B))
        & v6_rlvect_1(k5_lopban_1(A,B))
        & v7_rlvect_1(k5_lopban_1(A,B))
        & v1_monoid_0(k5_lopban_1(A,B)) ) ) )).

fof(rc1_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ? [C] :
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_lopban_1(C,A,B)
          & v2_lopban_1(C,A,B) ) ) )).

fof(fc3_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v1_xboole_0(k7_lopban_1(A,B))
        & v1_fraenkel(k7_lopban_1(A,B)) ) ) )).

fof(fc4_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))))
        & v2_rlvect_1(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))))
        & v3_rlvect_1(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))))
        & v4_rlvect_1(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))))
        & v5_rlvect_1(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))))
        & v6_rlvect_1(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))))
        & v7_rlvect_1(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) ) ) )).

fof(fc5_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k8_lopban_1(A,B))
        & v2_rlvect_1(k8_lopban_1(A,B))
        & v3_rlvect_1(k8_lopban_1(A,B))
        & v4_rlvect_1(k8_lopban_1(A,B))
        & v5_rlvect_1(k8_lopban_1(A,B))
        & v6_rlvect_1(k8_lopban_1(A,B))
        & v7_rlvect_1(k8_lopban_1(A,B)) ) ) )).

fof(fc6_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k8_lopban_1(A,B))
        & v2_rlvect_1(k8_lopban_1(A,B))
        & v3_rlvect_1(k8_lopban_1(A,B))
        & v4_rlvect_1(k8_lopban_1(A,B))
        & v5_rlvect_1(k8_lopban_1(A,B))
        & v6_rlvect_1(k8_lopban_1(A,B))
        & v7_rlvect_1(k8_lopban_1(A,B))
        & v1_monoid_0(k8_lopban_1(A,B)) ) ) )).

fof(rc2_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ? [C] :
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_lopban_1(C,A,B)
          & v2_lopban_1(C,A,B)
          & v3_lopban_1(C,A,B) ) ) )).

fof(fc7_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ~ v1_xboole_0(k10_lopban_1(A,B)) ) )).

fof(fc8_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v2_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v3_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v4_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v5_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v6_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v7_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) ) ) )).

fof(fc9_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(k11_lopban_1(A,B))
        & v2_rlvect_1(k11_lopban_1(A,B))
        & v3_rlvect_1(k11_lopban_1(A,B))
        & v4_rlvect_1(k11_lopban_1(A,B))
        & v5_rlvect_1(k11_lopban_1(A,B))
        & v6_rlvect_1(k11_lopban_1(A,B))
        & v7_rlvect_1(k11_lopban_1(A,B)) ) ) )).

fof(cc1_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B)))
         => ( v1_relat_1(C)
            & v1_funct_1(C) ) ) ) )).

fof(cc2_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
         => ( v1_relat_1(C)
            & v1_funct_1(C) ) ) ) )).

fof(fc10_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(k16_lopban_1(A,B))
        & v3_rlvect_1(k16_lopban_1(A,B))
        & v4_rlvect_1(k16_lopban_1(A,B))
        & v5_rlvect_1(k16_lopban_1(A,B))
        & v6_rlvect_1(k16_lopban_1(A,B))
        & v7_rlvect_1(k16_lopban_1(A,B))
        & v2_normsp_1(k16_lopban_1(A,B)) ) ) )).

fof(rc3_lopban_1,axiom,(
    ? [A] :
      ( l1_normsp_1(A)
      & ~ v3_struct_0(A)
      & v3_rlvect_1(A)
      & v4_rlvect_1(A)
      & v5_rlvect_1(A)
      & v6_rlvect_1(A)
      & v7_rlvect_1(A)
      & v2_normsp_1(A)
      & v4_lopban_1(A) ) )).

fof(fc11_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & v4_lopban_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(k16_lopban_1(A,B))
        & v3_rlvect_1(k16_lopban_1(A,B))
        & v4_rlvect_1(k16_lopban_1(A,B))
        & v5_rlvect_1(k16_lopban_1(A,B))
        & v6_rlvect_1(k16_lopban_1(A,B))
        & v7_rlvect_1(k16_lopban_1(A,B))
        & v2_normsp_1(k16_lopban_1(A,B))
        & v4_lopban_1(k16_lopban_1(A,B)) ) ) )).

fof(t1_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_rlvect_1(B) )
         => ? [C] :
              ( v1_funct_1(C)
              & v1_funct_2(C,k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
              & m2_relset_1(C,k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
              & ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => ! [E] :
                      ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                     => k1_funcsdom(A,u1_struct_0(B),C,D,E) = k4_funcsdom(u1_struct_0(B),A,u1_rlvect_1(B),D,E) ) ) ) ) ) )).

fof(t2_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ? [C] :
              ( v1_funct_1(C)
              & v1_funct_2(C,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
              & m2_relset_1(C,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
              & ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                     => ! [F] :
                          ( m1_subset_1(F,A)
                         => k8_funct_2(A,u1_struct_0(B),k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),C,k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),D,E)),F) = k3_rlvect_1(B,k8_funct_2(A,u1_struct_0(B),E,F),D) ) ) ) ) ) ) )).

fof(d1_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_rlvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
                & m2_relset_1(C,k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) )
             => ( C = k2_lopban_1(A,B)
              <=> ! [D] :
                    ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                   => ! [E] :
                        ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                       => k1_funcsdom(A,u1_struct_0(B),C,D,E) = k4_funcsdom(u1_struct_0(B),A,u1_rlvect_1(B),D,E) ) ) ) ) ) ) )).

fof(d2_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
                & m2_relset_1(C,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) )
             => ( C = k3_lopban_1(A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,k1_numbers)
                   => ! [E] :
                        ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                       => ! [F] :
                            ( m1_subset_1(F,A)
                           => k8_funct_2(A,u1_struct_0(B),k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),C,k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),D,E)),F) = k3_rlvect_1(B,k8_funct_2(A,u1_struct_0(B),E,F),D) ) ) ) ) ) ) ) )).

fof(d3_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & l2_struct_0(B) )
     => k4_lopban_1(A,B) = k2_funcop_1(A,k1_rlvect_1(B)) ) )).

fof(t3_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => ! [E] :
                      ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                     => ( E = k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,A)
                           => k8_funct_2(A,u1_struct_0(B),E,F) = k2_rlvect_1(B,k8_funct_2(A,u1_struct_0(B),C,F),k8_funct_2(A,u1_struct_0(B),D,F)) ) ) ) ) ) ) ) )).

fof(t4_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,A)
             => k8_funct_2(A,u1_struct_0(B),k4_lopban_1(A,B),C) = k1_rlvect_1(B) ) ) ) )).

fof(t5_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ( C = k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),E,D))
                      <=> ! [F] :
                            ( m1_subset_1(F,A)
                           => k8_funct_2(A,u1_struct_0(B),C,F) = k3_rlvect_1(B,k8_funct_2(A,u1_struct_0(B),D,F),E) ) ) ) ) ) ) ) )).

fof(t6_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D) = k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),D,C) ) ) ) ) )).

fof(t7_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => ! [E] :
                      ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                     => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),D,E)) = k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D),E) ) ) ) ) ) )).

fof(t8_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),k4_lopban_1(A,B),C) = C ) ) ) )).

fof(t9_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k1_real_1(np__1),C))) = k4_lopban_1(A,B) ) ) ) )).

fof(t10_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => k1_funct_1(k3_lopban_1(A,B),k1_domain_1(k5_numbers,k1_fraenkel(A,u1_struct_0(B)),np__1,C)) = C ) ) ) )).

fof(t11_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),D,k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),E,C)))) = k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k4_real_1(D,E),C)) ) ) ) ) ) )).

fof(t12_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),D,C)),k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),E,C))) = k2_funcsdom(A,u1_struct_0(B),k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_lopban_1(A,B),k1_domain_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B)),k3_real_1(D,E),C)) ) ) ) ) ) )).

fof(t13_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ( ~ v3_struct_0(g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)))
            & v3_rlvect_1(g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)))
            & v4_rlvect_1(g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)))
            & v5_rlvect_1(g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)))
            & v6_rlvect_1(g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)))
            & v7_rlvect_1(g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)))
            & l2_rlvect_1(g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) ) ) ) )).

fof(d4_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => k5_lopban_1(A,B) = g2_rlvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)) ) ) )).

fof(t14_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k5_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k5_lopban_1(A,B)))
                     => ( E = k4_rlvect_1(k5_lopban_1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,A)
                           => k6_lopban_1(A,B,E,F) = k4_rlvect_1(B,k6_lopban_1(A,B,C,F),k6_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t15_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k5_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ( D = k3_rlvect_1(k5_lopban_1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,A)
                           => k6_lopban_1(A,B,D,F) = k3_rlvect_1(B,k6_lopban_1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t16_lopban_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => k1_rlvect_1(k5_lopban_1(A,B)) = k2_funcop_1(A,k1_rlvect_1(B)) ) ) )).

fof(d5_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_rlvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v1_lopban_1(C,A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_rlvect_1(A,D,E)) = k2_rlvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).

fof(d6_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v2_lopban_1(C,A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] :
                        ( m1_subset_1(E,k1_numbers)
                       => k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,D,E)) = k3_rlvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) )).

fof(d7_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_lopban_1(u1_struct_0(A),B))))
             => ( C = k7_lopban_1(A,B)
              <=> ! [D] :
                    ( r2_hidden(D,C)
                  <=> ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                      & v1_lopban_1(D,A,B)
                      & v2_lopban_1(D,A,B)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) )).

fof(t17_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => v1_rlsub_1(k7_lopban_1(A,B),k5_lopban_1(u1_struct_0(A),B)) ) ) )).

fof(t18_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => m1_rlsub_1(g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))),k5_lopban_1(u1_struct_0(A),B)) ) ) )).

fof(d8_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => k8_lopban_1(A,B) = g2_rlvect_1(k7_lopban_1(A,B),k10_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k8_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k9_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))) ) ) )).

fof(t19_lopban_1,axiom,(
    $true )).

fof(t20_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k8_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k8_lopban_1(A,B)))
                     => ( E = k4_rlvect_1(k8_lopban_1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k9_lopban_1(A,B,E,F) = k4_rlvect_1(B,k9_lopban_1(A,B,C,F),k9_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t21_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k8_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ( D = k3_rlvect_1(k8_lopban_1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k9_lopban_1(A,B,D,F) = k3_rlvect_1(B,k9_lopban_1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t22_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => k1_rlvect_1(k8_lopban_1(A,B)) = k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)) ) ) )).

fof(t23_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & l2_rlvect_1(B) )
         => ( v1_funct_1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)))
            & v1_funct_2(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),u1_struct_0(A),u1_struct_0(B))
            & v1_lopban_1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),A,B)
            & v2_lopban_1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),A,B)
            & m2_relset_1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),u1_struct_0(A),u1_struct_0(B)) ) ) ) )).

fof(t24_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k5_numbers,u1_struct_0(A))
            & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ( v4_normsp_1(B,A)
                  & k8_normsp_1(A,B) = C )
               => ( v4_seq_2(k7_normsp_1(A,B))
                  & k2_seq_2(k7_normsp_1(A,B)) = k1_normsp_1(A,C) ) ) ) ) ) )).

fof(d9_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_lopban_1(C,A,B)
                & v2_lopban_1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v3_lopban_1(C,A,B)
              <=> ? [D] :
                    ( m1_subset_1(D,k1_numbers)
                    & r1_xreal_0(np__0,D)
                    & ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => r1_xreal_0(k1_normsp_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)),k4_real_1(D,k1_normsp_1(A,E))) ) ) ) ) ) ) )).

fof(t25_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_lopban_1(C,A,B)
                & v2_lopban_1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_rlvect_1(B) )
               => v3_lopban_1(C,A,B) ) ) ) ) )).

fof(d10_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k8_lopban_1(A,B))))
             => ( C = k10_lopban_1(A,B)
              <=> ! [D] :
                    ( r2_hidden(D,C)
                  <=> ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                      & v1_lopban_1(D,A,B)
                      & v2_lopban_1(D,A,B)
                      & v3_lopban_1(D,A,B)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) )).

fof(t26_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => v1_rlsub_1(k10_lopban_1(A,B),k8_lopban_1(A,B)) ) ) )).

fof(t27_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => m1_rlsub_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))),k8_lopban_1(A,B)) ) ) )).

fof(d11_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => k11_lopban_1(A,B) = g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))) ) ) )).

fof(t28_lopban_1,axiom,(
    $true )).

fof(t29_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k11_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k11_lopban_1(A,B)))
                     => ( E = k4_rlvect_1(k11_lopban_1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k12_lopban_1(A,B,E,F) = k4_rlvect_1(B,k12_lopban_1(A,B,C,F),k12_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t30_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k11_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ( D = k3_rlvect_1(k11_lopban_1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k12_lopban_1(A,B,D,F) = k3_rlvect_1(B,k12_lopban_1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t31_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => k1_rlvect_1(k11_lopban_1(A,B)) = k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)) ) ) )).

fof(d12_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( r2_hidden(C,k10_lopban_1(A,B))
             => k13_lopban_1(A,B,C) = C ) ) ) )).

fof(t32_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_lopban_1(C,A,B)
                & v2_lopban_1(C,A,B)
                & v3_lopban_1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( ~ v1_xboole_0(k14_lopban_1(A,B,C))
                & v1_seq_4(k14_lopban_1(A,B,C)) ) ) ) ) )).

fof(t33_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_lopban_1(C,A,B)
                & v2_lopban_1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v3_lopban_1(C,A,B)
              <=> v1_seq_4(k14_lopban_1(A,B,C)) ) ) ) ) )).

fof(t34_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ? [C] :
              ( v1_funct_1(C)
              & v1_funct_2(C,k10_lopban_1(A,B),k1_numbers)
              & m2_relset_1(C,k10_lopban_1(A,B),k1_numbers)
              & ! [D] :
                  ( r2_hidden(D,k10_lopban_1(A,B))
                 => k2_seq_1(k10_lopban_1(A,B),k1_numbers,C,D) = k3_pscomp_1(k14_lopban_1(A,B,k13_lopban_1(A,B,D))) ) ) ) ) )).

fof(d14_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k10_lopban_1(A,B),k1_numbers)
                & m2_relset_1(C,k10_lopban_1(A,B),k1_numbers) )
             => ( C = k15_lopban_1(A,B)
              <=> ! [D] :
                    ( r2_hidden(D,k10_lopban_1(A,B))
                   => k2_seq_1(k10_lopban_1(A,B),k1_numbers,C,D) = k3_pscomp_1(k14_lopban_1(A,B,k13_lopban_1(A,B,D))) ) ) ) ) ) )).

fof(t35_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_lopban_1(C,A,B)
                & v2_lopban_1(C,A,B)
                & v3_lopban_1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => k13_lopban_1(A,B,C) = C ) ) ) )).

fof(t36_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_lopban_1(C,A,B)
                & v2_lopban_1(C,A,B)
                & v3_lopban_1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => k2_seq_1(k10_lopban_1(A,B),k1_numbers,k15_lopban_1(A,B),C) = k3_pscomp_1(k14_lopban_1(A,B,C)) ) ) ) )).

fof(d15_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => k16_lopban_1(A,B) = g1_normsp_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k15_lopban_1(A,B)) ) ) )).

fof(t37_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)) = k1_rlvect_1(k16_lopban_1(A,B)) ) ) )).

fof(t38_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & v1_lopban_1(D,A,B)
                    & v2_lopban_1(D,A,B)
                    & v3_lopban_1(D,A,B)
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ( D = C
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => r1_xreal_0(k1_normsp_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,E)),k4_real_1(k1_normsp_1(k16_lopban_1(A,B),C),k1_normsp_1(A,E))) ) ) ) ) ) ) )).

fof(t39_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
             => r1_xreal_0(np__0,k1_normsp_1(k16_lopban_1(A,B),C)) ) ) ) )).

fof(t40_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
             => ( C = k1_rlvect_1(k16_lopban_1(A,B))
               => np__0 = k1_normsp_1(k16_lopban_1(A,B),C) ) ) ) ) )).

fof(t41_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k16_lopban_1(A,B)))
                     => ( E = k2_rlvect_1(k16_lopban_1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k17_lopban_1(A,B,E,F) = k4_rlvect_1(B,k17_lopban_1(A,B,C,F),k17_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t42_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ( D = k3_rlvect_1(k16_lopban_1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k17_lopban_1(A,B,D,F) = k3_rlvect_1(B,k17_lopban_1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t43_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ( ( k1_normsp_1(k16_lopban_1(A,B),C) = np__0
                         => C = k1_rlvect_1(k16_lopban_1(A,B)) )
                        & ( C = k1_rlvect_1(k16_lopban_1(A,B))
                         => k1_normsp_1(k16_lopban_1(A,B),C) = np__0 )
                        & k1_normsp_1(k16_lopban_1(A,B),k3_rlvect_1(k16_lopban_1(A,B),C,E)) = k4_real_1(k18_complex1(E),k1_normsp_1(k16_lopban_1(A,B),C))
                        & r1_xreal_0(k1_normsp_1(k16_lopban_1(A,B),k2_rlvect_1(k16_lopban_1(A,B),C,D)),k3_real_1(k1_normsp_1(k16_lopban_1(A,B),C),k1_normsp_1(k16_lopban_1(A,B),D))) ) ) ) ) ) ) )).

fof(t44_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => v2_normsp_1(k16_lopban_1(A,B)) ) ) )).

fof(t45_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ( ~ v3_struct_0(k16_lopban_1(A,B))
            & v3_rlvect_1(k16_lopban_1(A,B))
            & v4_rlvect_1(k16_lopban_1(A,B))
            & v5_rlvect_1(k16_lopban_1(A,B))
            & v6_rlvect_1(k16_lopban_1(A,B))
            & v7_rlvect_1(k16_lopban_1(A,B))
            & v2_normsp_1(k16_lopban_1(A,B))
            & l1_normsp_1(k16_lopban_1(A,B)) ) ) ) )).

fof(t46_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k16_lopban_1(A,B)))
                     => ( E = k6_rlvect_1(k16_lopban_1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k17_lopban_1(A,B,E,F) = k6_rlvect_1(B,k17_lopban_1(A,B,C,F),k17_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(d16_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ( v4_lopban_1(A)
      <=> ! [B] :
            ( ( v1_funct_1(B)
              & v1_funct_2(B,k5_numbers,u1_struct_0(A))
              & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
           => ( v1_rsspace3(B,A)
             => v4_normsp_1(B,A) ) ) ) ) )).

fof(t47_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k5_numbers,u1_struct_0(A))
            & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
         => ( v4_normsp_1(B,A)
           => ( v4_seq_2(k7_normsp_1(A,B))
              & k2_seq_2(k7_normsp_1(A,B)) = k1_normsp_1(A,k8_normsp_1(A,B)) ) ) ) ) )).

fof(t48_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ( v4_lopban_1(B)
           => ! [C] :
                ( ( v1_funct_1(C)
                  & v1_funct_2(C,k5_numbers,u1_struct_0(k16_lopban_1(A,B)))
                  & m2_relset_1(C,k5_numbers,u1_struct_0(k16_lopban_1(A,B))) )
               => ( v1_rsspace3(C,k16_lopban_1(A,B))
                 => v4_normsp_1(C,k16_lopban_1(A,B)) ) ) ) ) ) )).

fof(t49_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & v4_lopban_1(B)
            & l1_normsp_1(B) )
         => ( ~ v3_struct_0(k16_lopban_1(A,B))
            & v3_rlvect_1(k16_lopban_1(A,B))
            & v4_rlvect_1(k16_lopban_1(A,B))
            & v5_rlvect_1(k16_lopban_1(A,B))
            & v6_rlvect_1(k16_lopban_1(A,B))
            & v7_rlvect_1(k16_lopban_1(A,B))
            & v2_normsp_1(k16_lopban_1(A,B))
            & v4_lopban_1(k16_lopban_1(A,B))
            & l1_normsp_1(k16_lopban_1(A,B)) ) ) ) )).

fof(dt_k1_lopban_1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(k1_numbers,B),B)
        & m1_relset_1(C,k2_zfmisc_1(k1_numbers,B),B)
        & v1_xreal_0(D)
        & v1_funct_1(E)
        & v1_funct_2(E,A,B)
        & m1_relset_1(E,A,B) )
     => m2_fraenkel(k1_lopban_1(A,B,C,D,E),A,B,k1_fraenkel(A,B)) ) )).

fof(redefinition_k1_lopban_1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(k1_numbers,B),B)
        & m1_relset_1(C,k2_zfmisc_1(k1_numbers,B),B)
        & v1_xreal_0(D)
        & v1_funct_1(E)
        & v1_funct_2(E,A,B)
        & m1_relset_1(E,A,B) )
     => k1_lopban_1(A,B,C,D,E) = k5_funcop_1(C,D,E) ) )).

fof(dt_k2_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_rlvect_1(B) )
     => ( v1_funct_1(k2_lopban_1(A,B))
        & v1_funct_2(k2_lopban_1(A,B),k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
        & m2_relset_1(k2_lopban_1(A,B),k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) ) ) )).

fof(dt_k3_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( v1_funct_1(k3_lopban_1(A,B))
        & v1_funct_2(k3_lopban_1(A,B),k2_zfmisc_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
        & m2_relset_1(k3_lopban_1(A,B),k2_zfmisc_1(k1_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) ) ) )).

fof(dt_k4_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & l2_struct_0(B) )
     => m2_fraenkel(k4_lopban_1(A,B),A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B))) ) )).

fof(dt_k5_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k5_lopban_1(A,B))
        & v3_rlvect_1(k5_lopban_1(A,B))
        & v4_rlvect_1(k5_lopban_1(A,B))
        & v5_rlvect_1(k5_lopban_1(A,B))
        & v6_rlvect_1(k5_lopban_1(A,B))
        & v7_rlvect_1(k5_lopban_1(A,B))
        & l2_rlvect_1(k5_lopban_1(A,B)) ) ) )).

fof(dt_k6_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B)
        & m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B)))
        & m1_subset_1(D,A) )
     => m1_subset_1(k6_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k6_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B)
        & m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B)))
        & m1_subset_1(D,A) )
     => k6_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k7_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => m1_subset_1(k7_lopban_1(A,B),k1_zfmisc_1(u1_struct_0(k5_lopban_1(u1_struct_0(A),B)))) ) )).

fof(dt_k8_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k8_lopban_1(A,B))
        & v3_rlvect_1(k8_lopban_1(A,B))
        & v4_rlvect_1(k8_lopban_1(A,B))
        & v5_rlvect_1(k8_lopban_1(A,B))
        & v6_rlvect_1(k8_lopban_1(A,B))
        & v7_rlvect_1(k8_lopban_1(A,B))
        & l2_rlvect_1(k8_lopban_1(A,B)) ) ) )).

fof(dt_k9_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B)
        & m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k9_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k9_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B)
        & m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k9_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k10_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => m1_subset_1(k10_lopban_1(A,B),k1_zfmisc_1(u1_struct_0(k8_lopban_1(A,B)))) ) )).

fof(dt_k11_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(k11_lopban_1(A,B))
        & v3_rlvect_1(k11_lopban_1(A,B))
        & v4_rlvect_1(k11_lopban_1(A,B))
        & v5_rlvect_1(k11_lopban_1(A,B))
        & v6_rlvect_1(k11_lopban_1(A,B))
        & v7_rlvect_1(k11_lopban_1(A,B))
        & l2_rlvect_1(k11_lopban_1(A,B)) ) ) )).

fof(dt_k12_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k12_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k12_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k12_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k13_lopban_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( v1_funct_1(k13_lopban_1(A,B,C))
        & v1_funct_2(k13_lopban_1(A,B,C),u1_struct_0(A),u1_struct_0(B))
        & v1_lopban_1(k13_lopban_1(A,B,C),A,B)
        & v2_lopban_1(k13_lopban_1(A,B,C),A,B)
        & v3_lopban_1(k13_lopban_1(A,B,C),A,B)
        & m2_relset_1(k13_lopban_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) )).

fof(dt_k14_lopban_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & v1_lopban_1(C,A,B)
        & v2_lopban_1(C,A,B)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
     => ( ~ v1_xboole_0(k14_lopban_1(A,B,C))
        & m1_subset_1(k14_lopban_1(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).

fof(dt_k15_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( v1_funct_1(k15_lopban_1(A,B))
        & v1_funct_2(k15_lopban_1(A,B),k10_lopban_1(A,B),k1_numbers)
        & m2_relset_1(k15_lopban_1(A,B),k10_lopban_1(A,B),k1_numbers) ) ) )).

fof(dt_k16_lopban_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(k16_lopban_1(A,B))
        & l1_normsp_1(k16_lopban_1(A,B)) ) ) )).

fof(dt_k17_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k17_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k17_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k17_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(d13_lopban_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_lopban_1(C,A,B)
                & v2_lopban_1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => k14_lopban_1(A,B,C) = a_3_0_lopban_1(A,B,C) ) ) ) )).

fof(fraenkel_a_3_0_lopban_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & ~ v3_struct_0(C)
        & v3_rlvect_1(C)
        & v4_rlvect_1(C)
        & v5_rlvect_1(C)
        & v6_rlvect_1(C)
        & v7_rlvect_1(C)
        & v2_normsp_1(C)
        & l1_normsp_1(C)
        & v1_funct_1(D)
        & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C))
        & v1_lopban_1(D,B,C)
        & v2_lopban_1(D,B,C)
        & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
     => ( r2_hidden(A,a_3_0_lopban_1(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(B))
            & A = k1_normsp_1(C,k8_funct_2(u1_struct_0(B),u1_struct_0(C),D,E))
            & r1_xreal_0(k1_normsp_1(B,E),np__1) ) ) ) )).
%------------------------------------------------------------------------------