SET007 Axioms: SET007+856.ax
%------------------------------------------------------------------------------
% File : SET007+856 : TPTP v9.0.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : Continuous Functions on Real and Complex Normed Linear Spaces
% 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 : ncfcont1 [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 199 ( 0 unt; 0 def)
% Number of atoms : 4212 ( 106 equ)
% Maximal formula atoms : 30 ( 21 avg)
% Number of connectives : 4459 ( 446 ~; 6 |;3032 &)
% ( 55 <=>; 920 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 14 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 62 ( 61 usr; 0 prp; 1-4 aty)
% Number of functors : 73 ( 73 usr; 6 con; 0-4 aty)
% Number of variables : 908 ( 889 !; 19 ?)
% 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(d1_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& l1_clvect_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] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( C = k1_ncfcont1(A,B)
<=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> k2_normsp_1(A,C,D) = k5_rlvect_1(A,k2_normsp_1(A,B,D)) ) ) ) ) ) ).
fof(t1_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> k7_clvect_1(A,B,C) = k6_clvect_1(A,B,k1_ncfcont1(A,C)) ) ) ) ).
fof(t2_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)) )
=> k1_ncfcont1(A,B) = k9_clvect_1(A,B,k10_complex1(k6_complex1)) ) ) ).
fof(d2_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),k1_numbers) )
=> ( D = k2_ncfcont1(A,B,C)
<=> ( k4_relset_1(u1_struct_0(A),k1_numbers,D) = k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r2_hidden(E,k4_relset_1(u1_struct_0(A),k1_numbers,D))
=> k2_seq_1(u1_struct_0(A),k1_numbers,D,E) = k5_clvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) ) ).
fof(d3_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),k1_numbers) )
=> ( D = k3_ncfcont1(A,B,C)
<=> ( k4_relset_1(u1_struct_0(A),k1_numbers,D) = k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r2_hidden(E,k4_relset_1(u1_struct_0(A),k1_numbers,D))
=> k2_seq_1(u1_struct_0(A),k1_numbers,D,E) = k1_normsp_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) ) ).
fof(d4_ncfcont1,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)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),k1_numbers) )
=> ( D = k4_ncfcont1(A,B,C)
<=> ( k4_relset_1(u1_struct_0(A),k1_numbers,D) = k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r2_hidden(E,k4_relset_1(u1_struct_0(A),k1_numbers,D))
=> k2_seq_1(u1_struct_0(A),k1_numbers,D,E) = k5_clvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) ) ).
fof(t4_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_ncfcont1(C,A,B)
=> r2_hidden(B,C) ) ) ) ).
fof(d6_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_ncfcont1(B,A)
<=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ~ ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),B)
& ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ~ ( m1_bhsp_3(D,A,C)
& v6_clvect_1(D,A)
& r2_hidden(k11_clvect_1(A,D),B) ) ) ) ) ) ) ) ).
fof(d7_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v2_ncfcont1(B,A)
<=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),B)
& v6_clvect_1(C,A) )
=> r2_hidden(k11_clvect_1(A,C),B) ) ) ) ) ) ).
fof(d8_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v3_ncfcont1(B,A)
<=> v2_ncfcont1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) ).
fof(d9_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> k5_ncfcont1(A,B,C,D) = k5_relat_1(D,C) ) ) ) ) ) ).
fof(d10_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> k6_ncfcont1(A,B,C,D) = k5_relat_1(D,C) ) ) ) ) ) ).
fof(d11_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
=> k7_ncfcont1(A,B,C,D) = k5_relat_1(D,C) ) ) ) ) ) ).
fof(d12_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
=> k8_ncfcont1(A,B,C) = k5_relat_1(C,B) ) ) ) ) ).
fof(d13_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
=> k9_ncfcont1(A,B,C) = k5_relat_1(C,B) ) ) ) ) ).
fof(d14_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
=> k10_ncfcont1(A,B,C) = k5_relat_1(C,B) ) ) ) ) ).
fof(d15_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r1_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& v6_clvect_1(E,A)
& k11_clvect_1(A,E) = D )
=> ( v6_clvect_1(k5_ncfcont1(A,B,C,E),B)
& k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D) = k11_clvect_1(B,k5_ncfcont1(A,B,C,E)) ) ) ) ) ) ) ) ) ) ).
fof(d16_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& v6_clvect_1(E,A)
& k11_clvect_1(A,E) = D )
=> ( v4_normsp_1(k6_ncfcont1(A,B,C,E),B)
& k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D) = k8_normsp_1(B,k6_ncfcont1(A,B,C,E)) ) ) ) ) ) ) ) ) ) ).
fof(d17_ncfcont1,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)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r3_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& v4_normsp_1(E,A)
& k8_normsp_1(A,E) = D )
=> ( v6_clvect_1(k7_ncfcont1(B,A,C,E),B)
& k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D) = k11_clvect_1(B,k7_ncfcont1(B,A,C,E)) ) ) ) ) ) ) ) ) ) ).
fof(d18_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r4_ncfcont1(A,B,C)
<=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),k2_numbers,B))
& v6_clvect_1(D,A)
& k11_clvect_1(A,D) = C )
=> ( v2_comseq_2(k8_ncfcont1(A,B,D))
& k4_finseq_4(u1_struct_0(A),k2_numbers,B,C) = k2_comseq_2(k8_ncfcont1(A,B,D)) ) ) ) ) ) ) ) ) ).
fof(d19_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r5_ncfcont1(A,B,C)
<=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),k1_numbers,B))
& v6_clvect_1(D,A)
& k11_clvect_1(A,D) = C )
=> ( v4_seq_2(k10_ncfcont1(A,B,D))
& k4_finseq_4(u1_struct_0(A),k1_numbers,B,C) = k2_seq_2(k10_ncfcont1(A,B,D)) ) ) ) ) ) ) ) ) ).
fof(d20_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r6_ncfcont1(A,B,C)
<=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),k2_numbers,B))
& v4_normsp_1(D,A)
& k8_normsp_1(A,D) = C )
=> ( v2_comseq_2(k9_ncfcont1(A,B,D))
& k4_finseq_4(u1_struct_0(A),k2_numbers,B,C) = k2_comseq_2(k9_ncfcont1(A,B,D)) ) ) ) ) ) ) ) ) ).
fof(t5_ncfcont1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& v3_rlvect_1(C)
& v4_rlvect_1(C)
& v5_rlvect_1(C)
& v6_rlvect_1(C)
& v2_clvect_1(C)
& v5_clvect_1(C)
& l2_clvect_1(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(C),E))
=> r2_hidden(k2_normsp_1(B,D,A),k4_relset_1(u1_struct_0(B),u1_struct_0(C),E)) ) ) ) ) ) ) ).
fof(t6_ncfcont1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ 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) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(C),E))
=> r2_hidden(k2_normsp_1(B,D,A),k4_relset_1(u1_struct_0(B),u1_struct_0(C),E)) ) ) ) ) ) ) ).
fof(t7_ncfcont1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ 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) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(C))
& m2_relset_1(D,k5_numbers,u1_struct_0(C)) )
=> ! [E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(C),D),k4_relset_1(u1_struct_0(C),u1_struct_0(B),E))
=> r2_hidden(k2_normsp_1(C,D,A),k4_relset_1(u1_struct_0(C),u1_struct_0(B),E)) ) ) ) ) ) ) ).
fof(t8_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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] :
( r2_hidden(C,k5_relset_1(k5_numbers,u1_struct_0(A),B))
<=> ? [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
& C = k2_normsp_1(A,B,D) ) ) ) ) ).
fof(t9_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( m1_bhsp_3(C,A,B)
=> r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k5_relset_1(k5_numbers,u1_struct_0(A),B)) ) ) ) ) ).
fof(t10_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> k2_normsp_1(B,k5_ncfcont1(A,B,C,D),E) = k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,k2_normsp_1(A,D,E)) ) ) ) ) ) ) ).
fof(t11_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> k2_normsp_1(B,k6_ncfcont1(A,B,C,D),E) = k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,k2_normsp_1(A,D,E)) ) ) ) ) ) ) ).
fof(t12_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
=> ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> k2_normsp_1(A,k7_ncfcont1(A,B,C,D),E) = k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,k2_normsp_1(B,D,E)) ) ) ) ) ) ) ).
fof(t13_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> k1_comseq_1(k8_ncfcont1(A,B,C),D) = k4_finseq_4(u1_struct_0(A),k2_numbers,B,k2_normsp_1(A,C,D)) ) ) ) ) ) ).
fof(t14_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> k2_seq_1(k5_numbers,k1_numbers,k10_ncfcont1(A,B,C),D) = k4_finseq_4(u1_struct_0(A),k1_numbers,B,k2_normsp_1(A,C,D)) ) ) ) ) ) ).
fof(t15_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> k1_comseq_1(k9_ncfcont1(A,B,C),D) = k4_finseq_4(u1_struct_0(A),k2_numbers,B,k2_normsp_1(A,C,D)) ) ) ) ) ) ).
fof(t16_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,k1_numbers)
& v1_seqm_3(E)
& v7_seqm_3(E)
& m2_relset_1(E,k5_numbers,k1_numbers) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> k5_lopban_3(B,E,k5_ncfcont1(A,B,C,D)) = k5_ncfcont1(A,B,C,k5_lopban_3(A,E,D)) ) ) ) ) ) ) ).
fof(t17_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,k1_numbers)
& v1_seqm_3(E)
& v7_seqm_3(E)
& m2_relset_1(E,k5_numbers,k1_numbers) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> k5_lopban_3(B,E,k6_ncfcont1(A,B,C,D)) = k6_ncfcont1(A,B,C,k5_lopban_3(A,E,D)) ) ) ) ) ) ) ).
fof(t18_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,k1_numbers)
& v1_seqm_3(E)
& v7_seqm_3(E)
& m2_relset_1(E,k5_numbers,k1_numbers) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
=> k5_lopban_3(A,E,k7_ncfcont1(A,B,C,D)) = k7_ncfcont1(A,B,C,k5_lopban_3(B,E,D)) ) ) ) ) ) ) ).
fof(t19_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,k1_numbers)
& v1_seqm_3(D)
& v7_seqm_3(D)
& m2_relset_1(D,k5_numbers,k1_numbers) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
=> k5_comseq_3(D,k8_ncfcont1(A,B,C)) = k8_ncfcont1(A,B,k5_lopban_3(A,D,C)) ) ) ) ) ) ).
fof(t20_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,k1_numbers)
& v1_seqm_3(D)
& v7_seqm_3(D)
& m2_relset_1(D,k5_numbers,k1_numbers) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
=> k3_seqm_3(D,k10_ncfcont1(A,B,C)) = k10_ncfcont1(A,B,k5_lopban_3(A,D,C)) ) ) ) ) ) ).
fof(t21_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,k1_numbers)
& v1_seqm_3(D)
& v7_seqm_3(D)
& m2_relset_1(D,k5_numbers,k1_numbers) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
=> k5_comseq_3(D,k9_ncfcont1(A,B,C)) = k9_ncfcont1(A,B,k5_lopban_3(A,D,C)) ) ) ) ) ) ).
fof(t22_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& m1_bhsp_3(E,A,D) )
=> m1_bhsp_3(k5_ncfcont1(A,B,C,E),B,k5_ncfcont1(A,B,C,D)) ) ) ) ) ) ) ).
fof(t23_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& m1_bhsp_3(E,A,D) )
=> m1_bhsp_3(k6_ncfcont1(A,B,C,E),B,k6_ncfcont1(A,B,C,D)) ) ) ) ) ) ) ).
fof(t24_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(B))
& m2_relset_1(E,k5_numbers,u1_struct_0(B)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& m1_bhsp_3(E,B,D) )
=> m1_bhsp_3(k7_ncfcont1(A,B,C,E),A,k7_ncfcont1(A,B,C,D)) ) ) ) ) ) ) ).
fof(t25_ncfcont1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_funct_2(A,k5_numbers,k2_numbers)
& m2_relset_1(A,k5_numbers,k2_numbers) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,k1_numbers)
& v1_seqm_3(C)
& v7_seqm_3(C)
& m2_relset_1(C,k5_numbers,k1_numbers) )
=> k1_comseq_1(k5_comseq_3(C,A),B) = k1_comseq_1(A,k2_seqm_3(C,B)) ) ) ) ).
fof(t26_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
& m1_bhsp_3(D,A,C) )
=> m1_comseq_3(k8_ncfcont1(A,B,D),k8_ncfcont1(A,B,C)) ) ) ) ) ) ).
fof(t27_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
& m1_bhsp_3(D,A,C) )
=> m1_seqm_3(k10_ncfcont1(A,B,D),k10_ncfcont1(A,B,C)) ) ) ) ) ) ).
fof(t28_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k2_numbers,B))
& m1_bhsp_3(D,A,C) )
=> m1_comseq_3(k9_ncfcont1(A,B,D),k9_ncfcont1(A,B,C)) ) ) ) ) ) ).
fof(t29_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r1_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ~ ( r2_hidden(G,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ~ r1_xreal_0(F,k5_clvect_1(A,k6_rlvect_1(A,G,D)))
& r1_xreal_0(E,k5_clvect_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,G),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ~ ( r2_hidden(G,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ~ r1_xreal_0(F,k5_clvect_1(A,k6_rlvect_1(A,G,D)))
& r1_xreal_0(E,k1_normsp_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,G),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( r3_ncfcont1(B,A,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,u1_struct_0(B))
=> ~ ( r2_hidden(G,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& ~ r1_xreal_0(F,k1_normsp_1(B,k6_rlvect_1(B,G,D)))
& r1_xreal_0(E,k5_clvect_1(A,k6_rlvect_1(A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,G),k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r5_ncfcont1(A,B,C)
<=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& ! [D] :
( m1_subset_1(D,k1_numbers)
=> ~ ( ~ r1_xreal_0(D,np__0)
& ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( r2_hidden(F,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& ~ r1_xreal_0(E,k5_clvect_1(A,k6_rlvect_1(A,F,C)))
& r1_xreal_0(D,k18_complex1(k5_real_1(k4_finseq_4(u1_struct_0(A),k1_numbers,B,F),k4_finseq_4(u1_struct_0(A),k1_numbers,B,C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r4_ncfcont1(A,B,C)
<=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ! [D] :
( m1_subset_1(D,k1_numbers)
=> ~ ( ~ r1_xreal_0(D,np__0)
& ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( r2_hidden(F,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ~ r1_xreal_0(E,k5_clvect_1(A,k6_rlvect_1(A,F,C)))
& r1_xreal_0(D,k17_complex1(k11_complex1(k4_finseq_4(u1_struct_0(A),k2_numbers,B,F),k4_finseq_4(u1_struct_0(A),k2_numbers,B,C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r6_ncfcont1(A,B,C)
<=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ! [D] :
( m1_subset_1(D,k1_numbers)
=> ~ ( ~ r1_xreal_0(D,np__0)
& ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( r2_hidden(F,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ~ r1_xreal_0(E,k1_normsp_1(A,k6_rlvect_1(A,F,C)))
& r1_xreal_0(D,k17_complex1(k11_complex1(k4_finseq_4(u1_struct_0(A),k2_numbers,B,F),k4_finseq_4(u1_struct_0(A),k2_numbers,B,C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r1_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_ncfcont1(E,B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D))
=> ? [F] :
( m1_ncfcont1(F,A,D)
& ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ( ( r2_hidden(G,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& r2_hidden(G,F) )
=> r2_hidden(k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,G),E) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_nfcont_1(E,B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D))
=> ? [F] :
( m1_ncfcont1(F,A,D)
& ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ( ( r2_hidden(G,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& r2_hidden(G,F) )
=> r2_hidden(k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,G),E) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( r3_ncfcont1(B,A,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& ! [E] :
( m1_ncfcont1(E,A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D))
=> ? [F] :
( m1_nfcont_1(F,B,D)
& ! [G] :
( m1_subset_1(G,u1_struct_0(B))
=> ( ( r2_hidden(G,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& r2_hidden(G,F) )
=> r2_hidden(k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,G),E) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r1_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_ncfcont1(E,B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D))
=> ? [F] :
( m1_ncfcont1(F,A,D)
& r1_tarski(k10_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) ) ).
fof(t39_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_ncfcont1(A,B,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_nfcont_1(E,B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D))
=> ? [F] :
( m1_ncfcont1(F,A,D)
& r1_tarski(k10_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) ) ).
fof(t40_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( r3_ncfcont1(B,A,C,D)
<=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& ! [E] :
( m1_ncfcont1(E,A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D))
=> ? [F] :
( m1_nfcont_1(F,B,D)
& r1_tarski(k10_relset_1(u1_struct_0(B),u1_struct_0(A),C,F),E) ) ) ) ) ) ) ) ) ).
fof(t41_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> ( ! [E] :
( m1_ncfcont1(E,A,D)
=> k5_subset_1(u1_struct_0(A),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),E) != k1_struct_0(A,D) )
| r1_ncfcont1(A,B,C,D) ) ) ) ) ) ) ).
fof(t42_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> ( ! [E] :
( m1_ncfcont1(E,A,D)
=> k5_subset_1(u1_struct_0(A),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),E) != k1_struct_0(A,D) )
| r2_ncfcont1(A,B,C,D) ) ) ) ) ) ) ).
fof(t43_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
=> ( ! [E] :
( m1_nfcont_1(E,B,D)
=> k5_subset_1(u1_struct_0(B),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C),E) != k1_struct_0(B,D) )
| r3_ncfcont1(B,A,C,D) ) ) ) ) ) ) ).
fof(t44_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),k5_subset_1(u1_struct_0(A),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),k4_relset_1(u1_struct_0(A),u1_struct_0(B),D)))
=> ( k5_ncfcont1(A,B,k1_vfunct_2(u1_struct_0(A),B,C,D),E) = k6_clvect_1(B,k5_ncfcont1(A,B,C,E),k5_ncfcont1(A,B,D,E))
& k5_ncfcont1(A,B,k2_vfunct_2(u1_struct_0(A),B,C,D),E) = k7_clvect_1(B,k5_ncfcont1(A,B,C,E),k5_ncfcont1(A,B,D,E)) ) ) ) ) ) ) ) ).
fof(t45_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),k5_subset_1(u1_struct_0(A),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),k4_relset_1(u1_struct_0(A),u1_struct_0(B),D)))
=> ( k6_ncfcont1(A,B,k1_vfunct_1(u1_struct_0(A),B,C,D),E) = k3_normsp_1(B,k6_ncfcont1(A,B,C,E),k6_ncfcont1(A,B,D,E))
& k6_ncfcont1(A,B,k2_vfunct_1(u1_struct_0(A),B,C,D),E) = k4_normsp_1(B,k6_ncfcont1(A,B,C,E),k6_ncfcont1(A,B,D,E)) ) ) ) ) ) ) ) ).
fof(t46_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(B))
& m2_relset_1(E,k5_numbers,u1_struct_0(B)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),E),k5_subset_1(u1_struct_0(B),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C),k4_relset_1(u1_struct_0(B),u1_struct_0(A),D)))
=> ( k7_ncfcont1(A,B,k1_vfunct_2(u1_struct_0(B),A,C,D),E) = k6_clvect_1(A,k7_ncfcont1(A,B,C,E),k7_ncfcont1(A,B,D,E))
& k7_ncfcont1(A,B,k2_vfunct_2(u1_struct_0(B),A,C,D),E) = k7_clvect_1(A,k7_ncfcont1(A,B,C,E),k7_ncfcont1(A,B,D,E)) ) ) ) ) ) ) ) ).
fof(t47_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ! [E] :
( m1_subset_1(E,k2_numbers)
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> k5_ncfcont1(A,B,k4_vfunct_2(u1_struct_0(A),B,C,E),D) = k9_clvect_1(B,k5_ncfcont1(A,B,C,D),E) ) ) ) ) ) ) ).
fof(t48_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ! [E] :
( m1_subset_1(E,k1_numbers)
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> k6_ncfcont1(A,B,k4_vfunct_1(u1_struct_0(A),B,C,E),D) = k6_normsp_1(B,k6_ncfcont1(A,B,C,D),E) ) ) ) ) ) ) ).
fof(t49_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ! [E] :
( m1_subset_1(E,k2_numbers)
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
=> k7_ncfcont1(A,B,k4_vfunct_2(u1_struct_0(B),A,C,E),D) = k9_clvect_1(A,k7_ncfcont1(A,B,C,D),E) ) ) ) ) ) ) ).
fof(t50_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> ( k10_clvect_1(B,k5_ncfcont1(A,B,C,D)) = k10_ncfcont1(A,k2_ncfcont1(A,B,C),D)
& k1_ncfcont1(B,k5_ncfcont1(A,B,C,D)) = k5_ncfcont1(A,B,k6_vfunct_2(u1_struct_0(A),B,C),D) ) ) ) ) ) ) ).
fof(t51_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> ( k7_normsp_1(B,k6_ncfcont1(A,B,C,D)) = k10_ncfcont1(A,k3_ncfcont1(A,B,C),D)
& k1_nfcont_1(B,k6_ncfcont1(A,B,C,D)) = k6_ncfcont1(A,B,k6_vfunct_1(u1_struct_0(A),B,C),D) ) ) ) ) ) ) ).
fof(t52_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
=> ( k10_clvect_1(A,k7_ncfcont1(A,B,C,D)) = k4_nfcont_1(B,k4_ncfcont1(B,A,C),D)
& k1_ncfcont1(A,k7_ncfcont1(A,B,C,D)) = k7_ncfcont1(A,B,k6_vfunct_2(u1_struct_0(B),A,C),D) ) ) ) ) ) ) ).
fof(t53_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( ( r1_ncfcont1(A,B,C,E)
& r1_ncfcont1(A,B,D,E) )
=> ( r1_ncfcont1(A,B,k1_vfunct_2(u1_struct_0(A),B,C,D),E)
& r1_ncfcont1(A,B,k2_vfunct_2(u1_struct_0(A),B,C,D),E) ) ) ) ) ) ) ) ).
fof(t54_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( ( r2_ncfcont1(A,B,C,E)
& r2_ncfcont1(A,B,D,E) )
=> ( r2_ncfcont1(A,B,k1_vfunct_1(u1_struct_0(A),B,C,D),E)
& r2_ncfcont1(A,B,k2_vfunct_1(u1_struct_0(A),B,C,D),E) ) ) ) ) ) ) ) ).
fof(t55_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( ( r3_ncfcont1(B,A,C,E)
& r3_ncfcont1(B,A,D,E) )
=> ( r3_ncfcont1(B,A,k1_vfunct_2(u1_struct_0(B),A,C,D),E)
& r3_ncfcont1(B,A,k2_vfunct_2(u1_struct_0(B),A,C,D),E) ) ) ) ) ) ) ) ).
fof(t56_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,k2_numbers)
=> ( r1_ncfcont1(A,B,C,D)
=> r1_ncfcont1(A,B,k4_vfunct_2(u1_struct_0(A),B,C,E),D) ) ) ) ) ) ) ).
fof(t57_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,k1_numbers)
=> ( r2_ncfcont1(A,B,C,D)
=> r2_ncfcont1(A,B,k4_vfunct_1(u1_struct_0(A),B,C,E),D) ) ) ) ) ) ) ).
fof(t58_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,k2_numbers)
=> ( r3_ncfcont1(B,A,C,D)
=> r3_ncfcont1(B,A,k4_vfunct_2(u1_struct_0(B),A,C,E),D) ) ) ) ) ) ) ).
fof(t59_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r1_ncfcont1(A,B,C,D)
=> ( r5_ncfcont1(A,k2_ncfcont1(A,B,C),D)
& r1_ncfcont1(A,B,k6_vfunct_2(u1_struct_0(A),B,C),D) ) ) ) ) ) ) ).
fof(t60_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_ncfcont1(A,B,C,D)
=> ( r5_ncfcont1(A,k3_ncfcont1(A,B,C),D)
& r2_ncfcont1(A,B,k6_vfunct_1(u1_struct_0(A),B,C),D) ) ) ) ) ) ) ).
fof(t61_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( r3_ncfcont1(B,A,C,D)
=> ( r2_nfcont_1(B,k4_ncfcont1(B,A,C),D)
& r3_ncfcont1(B,A,k6_vfunct_2(u1_struct_0(B),A,C),D) ) ) ) ) ) ) ).
fof(d21_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( r7_ncfcont1(A,B,C,D)
<=> ( r1_tarski(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r2_hidden(E,D)
=> r1_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) ).
fof(d22_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( r8_ncfcont1(A,B,C,D)
<=> ( r1_tarski(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r2_hidden(E,D)
=> r2_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) ).
fof(d23_ncfcont1,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)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( r9_ncfcont1(A,B,C,D)
<=> ( r1_tarski(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r2_hidden(E,D)
=> r3_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) ).
fof(d24_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( r10_ncfcont1(A,B,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,C)
=> r4_ncfcont1(A,k2_partfun1(u1_struct_0(A),k2_numbers,B,C),D) ) ) ) ) ) ) ).
fof(d25_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( r11_ncfcont1(A,B,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,C)
=> r5_ncfcont1(A,k2_partfun1(u1_struct_0(A),k1_numbers,B,C),D) ) ) ) ) ) ) ).
fof(d26_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ! [C] :
( r12_ncfcont1(A,B,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),k2_numbers,B))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,C)
=> r6_ncfcont1(A,k2_partfun1(u1_struct_0(A),k2_numbers,B,C),D) ) ) ) ) ) ) ).
fof(t62_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r7_ncfcont1(A,B,D,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),C)
& v6_clvect_1(E,A)
& r2_hidden(k11_clvect_1(A,E),C) )
=> ( v6_clvect_1(k5_ncfcont1(A,B,D,E),B)
& k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,k11_clvect_1(A,E)) = k11_clvect_1(B,k5_ncfcont1(A,B,D,E)) ) ) ) ) ) ) ) ) ).
fof(t63_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r8_ncfcont1(A,B,D,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(A))
& m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),C)
& v6_clvect_1(E,A)
& r2_hidden(k11_clvect_1(A,E),C) )
=> ( v4_normsp_1(k6_ncfcont1(A,B,D,E),B)
& k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,k11_clvect_1(A,E)) = k8_normsp_1(B,k6_ncfcont1(A,B,D,E)) ) ) ) ) ) ) ) ) ).
fof(t64_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( r9_ncfcont1(B,A,D,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),D))
& ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k5_numbers,u1_struct_0(B))
& m2_relset_1(E,k5_numbers,u1_struct_0(B)) )
=> ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),E),C)
& v4_normsp_1(E,B)
& r2_hidden(k8_normsp_1(B,E),C) )
=> ( v6_clvect_1(k7_ncfcont1(A,B,D,E),A)
& k4_finseq_4(u1_struct_0(B),u1_struct_0(A),D,k8_normsp_1(B,E)) = k11_clvect_1(A,k7_ncfcont1(A,B,D,E)) ) ) ) ) ) ) ) ) ).
fof(t65_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r7_ncfcont1(A,B,D,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( r2_hidden(E,C)
& ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,k1_numbers)
=> ~ ( ~ r1_xreal_0(G,np__0)
& ! [H] :
( m1_subset_1(H,u1_struct_0(A))
=> ~ ( r2_hidden(H,C)
& ~ r1_xreal_0(G,k5_clvect_1(A,k6_rlvect_1(A,H,E)))
& r1_xreal_0(F,k5_clvect_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,H),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r8_ncfcont1(A,B,D,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( r2_hidden(E,C)
& ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,k1_numbers)
=> ~ ( ~ r1_xreal_0(G,np__0)
& ! [H] :
( m1_subset_1(H,u1_struct_0(A))
=> ~ ( r2_hidden(H,C)
& ~ r1_xreal_0(G,k5_clvect_1(A,k6_rlvect_1(A,H,E)))
& r1_xreal_0(F,k1_normsp_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,H),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( r9_ncfcont1(B,A,D,C)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),D))
& ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( r2_hidden(E,C)
& ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,k1_numbers)
=> ~ ( ~ r1_xreal_0(G,np__0)
& ! [H] :
( m1_subset_1(H,u1_struct_0(B))
=> ~ ( r2_hidden(H,C)
& ~ r1_xreal_0(G,k1_normsp_1(B,k6_rlvect_1(B,H,E)))
& r1_xreal_0(F,k5_clvect_1(A,k6_rlvect_1(A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),D,H),k4_finseq_4(u1_struct_0(B),u1_struct_0(A),D,E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r10_ncfcont1(A,C,B)
<=> ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k2_numbers,C))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( r2_hidden(D,B)
& ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ~ ( r2_hidden(G,B)
& ~ r1_xreal_0(F,k5_clvect_1(A,k6_rlvect_1(A,G,D)))
& r1_xreal_0(E,k17_complex1(k11_complex1(k4_finseq_4(u1_struct_0(A),k2_numbers,C,G),k4_finseq_4(u1_struct_0(A),k2_numbers,C,D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k1_numbers) )
=> ( r11_ncfcont1(A,C,B)
<=> ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k1_numbers,C))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( r2_hidden(D,B)
& ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ~ ( r2_hidden(G,B)
& ~ r1_xreal_0(F,k5_clvect_1(A,k6_rlvect_1(A,G,D)))
& r1_xreal_0(E,k18_complex1(k5_real_1(k4_finseq_4(u1_struct_0(A),k1_numbers,C,G),k4_finseq_4(u1_struct_0(A),k1_numbers,C,D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_ncfcont1,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,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r12_ncfcont1(A,C,B)
<=> ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k2_numbers,C))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,k1_numbers)
=> ~ ( r2_hidden(D,B)
& ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,k1_numbers)
=> ~ ( ~ r1_xreal_0(F,np__0)
& ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ~ ( r2_hidden(G,B)
& ~ r1_xreal_0(F,k1_normsp_1(A,k6_rlvect_1(A,G,D)))
& r1_xreal_0(E,k17_complex1(k11_complex1(k4_finseq_4(u1_struct_0(A),k2_numbers,C,G),k4_finseq_4(u1_struct_0(A),k2_numbers,C,D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r7_ncfcont1(A,B,D,C)
<=> r7_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C),C) ) ) ) ) ).
fof(t72_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r8_ncfcont1(A,B,D,C)
<=> r8_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C),C) ) ) ) ) ).
fof(t73_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( r9_ncfcont1(B,A,D,C)
<=> r9_ncfcont1(B,A,k2_partfun1(u1_struct_0(B),u1_struct_0(A),D,C),C) ) ) ) ) ).
fof(t74_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r10_ncfcont1(A,C,B)
<=> r10_ncfcont1(A,k2_partfun1(u1_struct_0(A),k2_numbers,C,B),B) ) ) ) ).
fof(t75_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k1_numbers) )
=> ( r11_ncfcont1(A,C,B)
<=> r11_ncfcont1(A,k2_partfun1(u1_struct_0(A),k1_numbers,C,B),B) ) ) ) ).
fof(t76_ncfcont1,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,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r12_ncfcont1(A,C,B)
<=> r12_ncfcont1(A,k2_partfun1(u1_struct_0(A),k2_numbers,C,B),B) ) ) ) ).
fof(t77_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r7_ncfcont1(A,B,E,C)
& r1_tarski(D,C) )
=> r7_ncfcont1(A,B,E,D) ) ) ) ) ).
fof(t78_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r8_ncfcont1(A,B,E,C)
& r1_tarski(D,C) )
=> r8_ncfcont1(A,B,E,D) ) ) ) ) ).
fof(t79_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r9_ncfcont1(B,A,E,C)
& r1_tarski(D,C) )
=> r9_ncfcont1(B,A,E,D) ) ) ) ) ).
fof(t80_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> r7_ncfcont1(A,B,C,k1_struct_0(A,D)) ) ) ) ) ) ).
fof(t81_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
=> r8_ncfcont1(A,B,C,k1_struct_0(A,D)) ) ) ) ) ) ).
fof(t82_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
=> r9_ncfcont1(B,A,C,k1_struct_0(B,D)) ) ) ) ) ) ).
fof(t83_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r7_ncfcont1(A,B,D,C)
& r7_ncfcont1(A,B,E,C) )
=> ( r7_ncfcont1(A,B,k1_vfunct_2(u1_struct_0(A),B,D,E),C)
& r7_ncfcont1(A,B,k2_vfunct_2(u1_struct_0(A),B,D,E),C) ) ) ) ) ) ) ).
fof(t84_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r8_ncfcont1(A,B,D,C)
& r8_ncfcont1(A,B,E,C) )
=> ( r8_ncfcont1(A,B,k1_vfunct_1(u1_struct_0(A),B,D,E),C)
& r8_ncfcont1(A,B,k2_vfunct_1(u1_struct_0(A),B,D,E),C) ) ) ) ) ) ) ).
fof(t85_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ! [E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r9_ncfcont1(B,A,D,C)
& r9_ncfcont1(B,A,E,C) )
=> ( r9_ncfcont1(B,A,k1_vfunct_2(u1_struct_0(B),A,D,E),C)
& r9_ncfcont1(B,A,k2_vfunct_2(u1_struct_0(B),A,D,E),C) ) ) ) ) ) ) ).
fof(t86_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r7_ncfcont1(A,B,E,C)
& r7_ncfcont1(A,B,F,D) )
=> ( r7_ncfcont1(A,B,k1_vfunct_2(u1_struct_0(A),B,E,F),k3_xboole_0(C,D))
& r7_ncfcont1(A,B,k2_vfunct_2(u1_struct_0(A),B,E,F),k3_xboole_0(C,D)) ) ) ) ) ) ) ).
fof(t87_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r8_ncfcont1(A,B,E,C)
& r8_ncfcont1(A,B,F,D) )
=> ( r8_ncfcont1(A,B,k1_vfunct_1(u1_struct_0(A),B,E,F),k3_xboole_0(C,D))
& r8_ncfcont1(A,B,k2_vfunct_1(u1_struct_0(A),B,E,F),k3_xboole_0(C,D)) ) ) ) ) ) ) ).
fof(t88_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r9_ncfcont1(B,A,E,C)
& r9_ncfcont1(B,A,F,D) )
=> ( r9_ncfcont1(B,A,k1_vfunct_2(u1_struct_0(B),A,E,F),k3_xboole_0(C,D))
& r9_ncfcont1(B,A,k2_vfunct_2(u1_struct_0(B),A,E,F),k3_xboole_0(C,D)) ) ) ) ) ) ) ).
fof(t89_ncfcont1,axiom,
! [A] :
( m1_subset_1(A,k2_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& v3_rlvect_1(C)
& v4_rlvect_1(C)
& v5_rlvect_1(C)
& v6_rlvect_1(C)
& v2_clvect_1(C)
& v5_clvect_1(C)
& l2_clvect_1(C) )
=> ! [D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( r7_ncfcont1(B,C,E,D)
=> r7_ncfcont1(B,C,k4_vfunct_2(u1_struct_0(B),C,E,A),D) ) ) ) ) ) ).
fof(t90_ncfcont1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ 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) )
=> ! [D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( r8_ncfcont1(B,C,E,D)
=> r8_ncfcont1(B,C,k4_vfunct_1(u1_struct_0(B),C,E,A),D) ) ) ) ) ) ).
fof(t91_ncfcont1,axiom,
! [A] :
( m1_subset_1(A,k2_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ 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) )
=> ! [D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
=> ( r9_ncfcont1(C,B,E,D)
=> r9_ncfcont1(C,B,k4_vfunct_2(u1_struct_0(C),B,E,A),D) ) ) ) ) ) ).
fof(t92_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r7_ncfcont1(A,B,D,C)
=> ( r11_ncfcont1(A,k2_ncfcont1(A,B,D),C)
& r7_ncfcont1(A,B,k6_vfunct_2(u1_struct_0(A),B,D),C) ) ) ) ) ) ).
fof(t93_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r8_ncfcont1(A,B,D,C)
=> ( r11_ncfcont1(A,k3_ncfcont1(A,B,D),C)
& r8_ncfcont1(A,B,k6_vfunct_1(u1_struct_0(A),B,D),C) ) ) ) ) ) ).
fof(t94_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( r9_ncfcont1(B,A,D,C)
=> ( r4_nfcont_1(B,k4_ncfcont1(B,A,D),C)
& r9_ncfcont1(B,A,k6_vfunct_2(u1_struct_0(B),A,D),C) ) ) ) ) ) ).
fof(t95_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,k4_rlvect_1(A,D,E)) = k4_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) )
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ~ r1_ncfcont1(A,B,C,D) )
| r7_ncfcont1(A,B,C,u1_struct_0(A)) ) ) ) ) ) ).
fof(t96_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,k4_rlvect_1(A,D,E)) = k4_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) )
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ~ r2_ncfcont1(A,B,C,D) )
| r8_ncfcont1(A,B,C,u1_struct_0(A)) ) ) ) ) ) ).
fof(t97_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( v1_partfun1(C,u1_struct_0(B),u1_struct_0(A))
& ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,k4_rlvect_1(B,D,E)) = k4_rlvect_1(A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D),k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,E)) ) ) )
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ~ r3_ncfcont1(B,A,C,D) )
| r9_ncfcont1(B,A,C,u1_struct_0(B)) ) ) ) ) ) ).
fof(t98_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v1_ncfcont1(k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),A)
& r7_ncfcont1(A,B,C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)) )
=> v1_ncfcont1(k5_relset_1(u1_struct_0(A),u1_struct_0(B),C),B) ) ) ) ) ).
fof(t99_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v1_ncfcont1(k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),A)
& r8_ncfcont1(A,B,C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)) )
=> v1_nfcont_1(k5_relset_1(u1_struct_0(A),u1_struct_0(B),C),B) ) ) ) ) ).
fof(t100_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( v1_nfcont_1(k4_relset_1(u1_struct_0(B),u1_struct_0(A),C),B)
& r9_ncfcont1(B,A,C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C)) )
=> v1_ncfcont1(k5_relset_1(u1_struct_0(B),u1_struct_0(A),C),A) ) ) ) ) ).
fof(t101_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ( ( v1_ncfcont1(k4_relset_1(u1_struct_0(A),k2_numbers,B),A)
& r10_ncfcont1(A,B,k4_relset_1(u1_struct_0(A),k2_numbers,B)) )
=> v1_cfcont_1(k5_relset_1(u1_struct_0(A),k2_numbers,B)) ) ) ) ).
fof(t102_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ( ( v1_ncfcont1(k4_relset_1(u1_struct_0(A),k1_numbers,B),A)
& r11_ncfcont1(A,B,k4_relset_1(u1_struct_0(A),k1_numbers,B)) )
=> v1_rcomp_1(k5_relset_1(u1_struct_0(A),k1_numbers,B)) ) ) ) ).
fof(t103_ncfcont1,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)
& m2_relset_1(B,u1_struct_0(A),k2_numbers) )
=> ( ( v1_nfcont_1(k4_relset_1(u1_struct_0(A),k2_numbers,B),A)
& r12_ncfcont1(A,B,k4_relset_1(u1_struct_0(A),k2_numbers,B)) )
=> v1_cfcont_1(k5_relset_1(u1_struct_0(A),k2_numbers,B)) ) ) ) ).
fof(t104_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& v1_ncfcont1(C,A)
& r7_ncfcont1(A,B,D,C) )
=> v1_ncfcont1(k10_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),B) ) ) ) ) ) ).
fof(t105_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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(A)))
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& v1_ncfcont1(C,A)
& r8_ncfcont1(A,B,D,C) )
=> v1_nfcont_1(k10_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),B) ) ) ) ) ) ).
fof(t106_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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(B)))
=> ! [D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),D))
& v1_nfcont_1(C,B)
& r9_ncfcont1(B,A,D,C) )
=> v1_ncfcont1(k10_relset_1(u1_struct_0(B),u1_struct_0(A),D,C),A) ) ) ) ) ) ).
fof(t107_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ~ ( k4_relset_1(u1_struct_0(A),k1_numbers,B) != k1_xboole_0
& v1_ncfcont1(k4_relset_1(u1_struct_0(A),k1_numbers,B),A)
& r11_ncfcont1(A,B,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ~ ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& r2_hidden(D,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& k4_finseq_4(u1_struct_0(A),k1_numbers,B,C) = k4_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,B))
& k4_finseq_4(u1_struct_0(A),k1_numbers,B,D) = k5_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,B)) ) ) ) ) ) ) ).
fof(t108_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ~ ( k4_relset_1(u1_struct_0(A),u1_struct_0(B),C) != k1_xboole_0
& v1_ncfcont1(k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),A)
& r7_ncfcont1(A,B,C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ~ ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& r2_hidden(E,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& k4_finseq_4(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C),D) = k4_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C)))
& k4_finseq_4(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C),E) = k5_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C))) ) ) ) ) ) ) ) ).
fof(t109_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ~ ( k4_relset_1(u1_struct_0(A),u1_struct_0(B),C) != k1_xboole_0
& v1_ncfcont1(k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),A)
& r8_ncfcont1(A,B,C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ~ ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& r2_hidden(E,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& k4_finseq_4(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C),D) = k4_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C)))
& k4_finseq_4(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C),E) = k5_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C))) ) ) ) ) ) ) ) ).
fof(t110_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ~ ( k4_relset_1(u1_struct_0(B),u1_struct_0(A),C) != k1_xboole_0
& v1_nfcont_1(k4_relset_1(u1_struct_0(B),u1_struct_0(A),C),B)
& r9_ncfcont1(B,A,C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ~ ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& r2_hidden(E,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& k4_finseq_4(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C),D) = k4_seq_4(k5_relset_1(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C)))
& k4_finseq_4(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C),E) = k5_seq_4(k5_relset_1(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C))) ) ) ) ) ) ) ) ).
fof(t111_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> k2_partfun1(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,D),C) = k2_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) ).
fof(t112_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> k2_partfun1(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,D),C) = k3_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) ).
fof(t113_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> k2_partfun1(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,D),C) = k4_ncfcont1(B,A,k2_partfun1(u1_struct_0(B),u1_struct_0(A),D,C)) ) ) ) ).
fof(t114_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( D != k1_xboole_0
& r1_tarski(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& v1_ncfcont1(D,A)
& r7_ncfcont1(A,B,C,D)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( r2_hidden(E,D)
& r2_hidden(F,D)
& k4_finseq_4(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C),E) = k4_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C),D))
& k4_finseq_4(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C),F) = k5_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,k2_ncfcont1(A,B,C),D)) ) ) ) ) ) ) ) ) ).
fof(t115_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( D != k1_xboole_0
& r1_tarski(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
& v1_ncfcont1(D,A)
& r8_ncfcont1(A,B,C,D)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( r2_hidden(E,D)
& r2_hidden(F,D)
& k4_finseq_4(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C),E) = k4_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C),D))
& k4_finseq_4(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C),F) = k5_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,k3_ncfcont1(A,B,C),D)) ) ) ) ) ) ) ) ) ).
fof(t116_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ~ ( D != k1_xboole_0
& r1_tarski(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
& v1_nfcont_1(D,B)
& r9_ncfcont1(B,A,C,D)
& ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ~ ( r2_hidden(E,D)
& r2_hidden(F,D)
& k4_finseq_4(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C),E) = k4_seq_4(k10_relset_1(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C),D))
& k4_finseq_4(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C),F) = k5_seq_4(k10_relset_1(u1_struct_0(B),k1_numbers,k4_ncfcont1(B,A,C),D)) ) ) ) ) ) ) ) ) ).
fof(t117_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( C != k1_xboole_0
& r1_tarski(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
& v1_ncfcont1(C,A)
& r11_ncfcont1(A,B,C)
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ~ ( r2_hidden(D,C)
& r2_hidden(E,C)
& k4_finseq_4(u1_struct_0(A),k1_numbers,B,D) = k4_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,B,C))
& k4_finseq_4(u1_struct_0(A),k1_numbers,B,E) = k5_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) ) ) ).
fof(d27_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r13_ncfcont1(A,B,C,D)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& ? [E] :
( m1_subset_1(E,k1_numbers)
& ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ( ( r2_hidden(F,C)
& r2_hidden(G,C) )
=> r1_xreal_0(k5_clvect_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,F),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,G))),k4_real_1(E,k5_clvect_1(A,k6_rlvect_1(A,F,G)))) ) ) ) ) ) ) ) ) ) ).
fof(d28_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r14_ncfcont1(A,B,C,D)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& ? [E] :
( m1_subset_1(E,k1_numbers)
& ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ( ( r2_hidden(F,C)
& r2_hidden(G,C) )
=> r1_xreal_0(k1_normsp_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,F),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,G))),k4_real_1(E,k5_clvect_1(A,k6_rlvect_1(A,F,G)))) ) ) ) ) ) ) ) ) ) ).
fof(d29_ncfcont1,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)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r15_ncfcont1(A,B,C,D)
<=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& ? [E] :
( m1_subset_1(E,k1_numbers)
& ~ r1_xreal_0(E,np__0)
& ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ( ( r2_hidden(F,C)
& r2_hidden(G,C) )
=> r1_xreal_0(k5_clvect_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,F),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,G))),k4_real_1(E,k1_normsp_1(A,k6_rlvect_1(A,F,G)))) ) ) ) ) ) ) ) ) ) ).
fof(d30_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r16_ncfcont1(A,B,C)
<=> ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k2_numbers,C))
& ? [D] :
( m1_subset_1(D,k1_numbers)
& ~ r1_xreal_0(D,np__0)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ( ( r2_hidden(E,B)
& r2_hidden(F,B) )
=> r1_xreal_0(k17_complex1(k11_complex1(k4_finseq_4(u1_struct_0(A),k2_numbers,C,E),k4_finseq_4(u1_struct_0(A),k2_numbers,C,F))),k4_real_1(D,k5_clvect_1(A,k6_rlvect_1(A,E,F)))) ) ) ) ) ) ) ) ) ).
fof(d31_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k1_numbers) )
=> ( r17_ncfcont1(A,B,C)
<=> ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k1_numbers,C))
& ? [D] :
( m1_subset_1(D,k1_numbers)
& ~ r1_xreal_0(D,np__0)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ( ( r2_hidden(E,B)
& r2_hidden(F,B) )
=> r1_xreal_0(k18_complex1(k5_real_1(k4_finseq_4(u1_struct_0(A),k1_numbers,C,E),k4_finseq_4(u1_struct_0(A),k1_numbers,C,F))),k4_real_1(D,k5_clvect_1(A,k6_rlvect_1(A,E,F)))) ) ) ) ) ) ) ) ) ).
fof(d32_ncfcont1,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,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r18_ncfcont1(A,B,C)
<=> ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k2_numbers,C))
& ? [D] :
( m1_subset_1(D,k1_numbers)
& ~ r1_xreal_0(D,np__0)
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ( ( r2_hidden(E,B)
& r2_hidden(F,B) )
=> r1_xreal_0(k17_complex1(k11_complex1(k4_finseq_4(u1_struct_0(A),k2_numbers,C,E),k4_finseq_4(u1_struct_0(A),k2_numbers,C,F))),k4_real_1(D,k1_normsp_1(A,k6_rlvect_1(A,E,F)))) ) ) ) ) ) ) ) ) ).
fof(t118_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r13_ncfcont1(A,B,C,E)
& r1_tarski(D,C) )
=> r13_ncfcont1(A,B,D,E) ) ) ) ) ).
fof(t119_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r14_ncfcont1(A,B,C,E)
& r1_tarski(D,C) )
=> r14_ncfcont1(A,B,D,E) ) ) ) ) ).
fof(t120_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r15_ncfcont1(B,A,C,E)
& r1_tarski(D,C) )
=> r15_ncfcont1(B,A,D,E) ) ) ) ) ).
fof(t121_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r13_ncfcont1(A,B,C,E)
& r13_ncfcont1(A,B,D,F) )
=> r13_ncfcont1(A,B,k3_xboole_0(C,D),k1_vfunct_2(u1_struct_0(A),B,E,F)) ) ) ) ) ) ).
fof(t122_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r14_ncfcont1(A,B,C,E)
& r14_ncfcont1(A,B,D,F) )
=> r14_ncfcont1(A,B,k3_xboole_0(C,D),k1_vfunct_1(u1_struct_0(A),B,E,F)) ) ) ) ) ) ).
fof(t123_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r15_ncfcont1(B,A,C,E)
& r15_ncfcont1(B,A,D,F) )
=> r15_ncfcont1(B,A,k3_xboole_0(C,D),k1_vfunct_2(u1_struct_0(B),A,E,F)) ) ) ) ) ) ).
fof(t124_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r13_ncfcont1(A,B,C,E)
& r13_ncfcont1(A,B,D,F) )
=> r13_ncfcont1(A,B,k3_xboole_0(C,D),k2_vfunct_2(u1_struct_0(A),B,E,F)) ) ) ) ) ) ).
fof(t125_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r14_ncfcont1(A,B,C,E)
& r14_ncfcont1(A,B,D,F) )
=> r14_ncfcont1(A,B,k3_xboole_0(C,D),k2_vfunct_1(u1_struct_0(A),B,E,F)) ) ) ) ) ) ).
fof(t126_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
=> ! [F] :
( ( v1_funct_1(F)
& m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r15_ncfcont1(B,A,C,E)
& r15_ncfcont1(B,A,D,F) )
=> r15_ncfcont1(B,A,k3_xboole_0(C,D),k2_vfunct_2(u1_struct_0(B),A,E,F)) ) ) ) ) ) ).
fof(t127_ncfcont1,axiom,
! [A] :
( m1_subset_1(A,k2_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& v3_rlvect_1(C)
& v4_rlvect_1(C)
& v5_rlvect_1(C)
& v6_rlvect_1(C)
& v2_clvect_1(C)
& v5_clvect_1(C)
& l2_clvect_1(C) )
=> ! [D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( r13_ncfcont1(B,C,D,E)
=> r13_ncfcont1(B,C,D,k4_vfunct_2(u1_struct_0(B),C,E,A)) ) ) ) ) ) ).
fof(t128_ncfcont1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ 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) )
=> ! [D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( r14_ncfcont1(B,C,D,E)
=> r14_ncfcont1(B,C,D,k4_vfunct_1(u1_struct_0(B),C,E,A)) ) ) ) ) ) ).
fof(t129_ncfcont1,axiom,
! [A] :
( m1_subset_1(A,k2_numbers)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( ~ 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) )
=> ! [D,E] :
( ( v1_funct_1(E)
& m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
=> ( r15_ncfcont1(C,B,D,E)
=> r15_ncfcont1(C,B,D,k4_vfunct_2(u1_struct_0(C),B,E,A)) ) ) ) ) ) ).
fof(t130_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r13_ncfcont1(A,B,C,D)
=> ( r13_ncfcont1(A,B,C,k6_vfunct_2(u1_struct_0(A),B,D))
& r17_ncfcont1(A,C,k2_ncfcont1(A,B,D)) ) ) ) ) ) ).
fof(t131_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r14_ncfcont1(A,B,C,D)
=> ( r14_ncfcont1(A,B,C,k6_vfunct_1(u1_struct_0(A),B,D))
& r17_ncfcont1(A,C,k3_ncfcont1(A,B,D)) ) ) ) ) ) ).
fof(t132_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( r15_ncfcont1(B,A,C,D)
=> ( r15_ncfcont1(B,A,C,k6_vfunct_2(u1_struct_0(B),A,D))
& r6_nfcont_1(B,C,k4_ncfcont1(B,A,D)) ) ) ) ) ) ).
fof(t133_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& r1_partfun2(u1_struct_0(A),u1_struct_0(B),D,C) )
=> r13_ncfcont1(A,B,C,D) ) ) ) ) ).
fof(t134_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& r1_partfun2(u1_struct_0(A),u1_struct_0(B),D,C) )
=> r14_ncfcont1(A,B,C,D) ) ) ) ) ).
fof(t135_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),D))
& r1_partfun2(u1_struct_0(B),u1_struct_0(A),D,C) )
=> r15_ncfcont1(B,A,C,D) ) ) ) ) ).
fof(t136_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> r13_ncfcont1(A,A,B,k1_partfun2(u1_struct_0(A),B)) ) ) ).
fof(t137_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r13_ncfcont1(A,B,C,D)
=> r7_ncfcont1(A,B,D,C) ) ) ) ) ).
fof(t138_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( r14_ncfcont1(A,B,C,D)
=> r8_ncfcont1(A,B,D,C) ) ) ) ) ).
fof(t139_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( r15_ncfcont1(B,A,C,D)
=> r9_ncfcont1(B,A,D,C) ) ) ) ) ).
fof(t140_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r16_ncfcont1(A,B,C)
=> r10_ncfcont1(A,C,B) ) ) ) ).
fof(t141_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k1_numbers) )
=> ( r17_ncfcont1(A,B,C)
=> r11_ncfcont1(A,C,B) ) ) ) ).
fof(t142_ncfcont1,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,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k2_numbers) )
=> ( r18_ncfcont1(A,B,C)
=> r12_ncfcont1(A,C,B) ) ) ) ).
fof(t143_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ? [D] :
( m1_subset_1(D,u1_struct_0(B))
& k5_relset_1(u1_struct_0(A),u1_struct_0(B),C) = k1_struct_0(B,D) )
=> r7_ncfcont1(A,B,C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)) ) ) ) ) ).
fof(t144_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ? [D] :
( m1_subset_1(D,u1_struct_0(B))
& k5_relset_1(u1_struct_0(A),u1_struct_0(B),C) = k1_struct_0(B,D) )
=> r8_ncfcont1(A,B,C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)) ) ) ) ) ).
fof(t145_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( ? [D] :
( m1_subset_1(D,u1_struct_0(A))
& k5_relset_1(u1_struct_0(B),u1_struct_0(A),C) = k1_struct_0(A,D) )
=> r9_ncfcont1(B,A,C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C)) ) ) ) ) ).
fof(t146_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B) )
=> ! [C,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& r1_partfun2(u1_struct_0(A),u1_struct_0(B),D,C) )
=> r7_ncfcont1(A,B,D,C) ) ) ) ) ).
fof(t147_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
& r1_partfun2(u1_struct_0(A),u1_struct_0(B),D,C) )
=> r8_ncfcont1(A,B,D,C) ) ) ) ) ).
fof(t148_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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,D] :
( ( v1_funct_1(D)
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),D))
& r1_partfun2(u1_struct_0(B),u1_struct_0(A),D,C) )
=> r9_ncfcont1(B,A,D,C) ) ) ) ) ).
fof(t149_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),u1_struct_0(A),B))
=> k4_finseq_4(u1_struct_0(A),u1_struct_0(A),B,C) = C ) )
=> r7_ncfcont1(A,A,B,k4_relset_1(u1_struct_0(A),u1_struct_0(A),B)) ) ) ) ).
fof(t150_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( B = k1_partfun2(u1_struct_0(A),k4_relset_1(u1_struct_0(A),u1_struct_0(A),B))
=> r7_ncfcont1(A,A,B,k4_relset_1(u1_struct_0(A),u1_struct_0(A),B)) ) ) ) ).
fof(t151_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(A),B))
& k2_partfun1(u1_struct_0(A),u1_struct_0(A),B,C) = k1_partfun2(u1_struct_0(A),C) )
=> r7_ncfcont1(A,A,B,C) ) ) ) ) ).
fof(t152_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,k2_numbers)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( ( r1_tarski(B,k4_relset_1(u1_struct_0(A),u1_struct_0(A),C))
& ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ( r2_hidden(F,B)
=> k4_finseq_4(u1_struct_0(A),u1_struct_0(A),C,F) = k4_rlvect_1(A,k1_clvect_1(A,F,D),E) ) ) )
=> r7_ncfcont1(A,A,C,B) ) ) ) ) ) ).
fof(t153_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& m2_relset_1(B,u1_struct_0(A),k1_numbers) )
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
=> k4_finseq_4(u1_struct_0(A),k1_numbers,B,C) = k5_clvect_1(A,C) ) )
=> r11_ncfcont1(A,B,k4_relset_1(u1_struct_0(A),k1_numbers,B)) ) ) ) ).
fof(t154_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B,C] :
( ( v1_funct_1(C)
& m2_relset_1(C,u1_struct_0(A),k1_numbers) )
=> ( ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k1_numbers,C))
& ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,B)
=> k4_finseq_4(u1_struct_0(A),k1_numbers,C,D) = k5_clvect_1(A,D) ) ) )
=> r11_ncfcont1(A,C,B) ) ) ) ).
fof(dt_m1_ncfcont1,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> ! [C] :
( m1_ncfcont1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(existence_m1_ncfcont1,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> ? [C] : m1_ncfcont1(C,A,B) ) ).
fof(dt_k1_ncfcont1,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& l1_clvect_1(A)
& v1_funct_1(B)
& v1_funct_2(B,k5_numbers,u1_struct_0(A))
& m1_relset_1(B,k5_numbers,u1_struct_0(A)) )
=> ( v1_funct_1(k1_ncfcont1(A,B))
& v1_funct_2(k1_ncfcont1(A,B),k5_numbers,u1_struct_0(A))
& m2_relset_1(k1_ncfcont1(A,B),k5_numbers,u1_struct_0(A)) ) ) ).
fof(dt_k2_ncfcont1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A)
& ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B)
& v1_funct_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k2_ncfcont1(A,B,C))
& m2_relset_1(k2_ncfcont1(A,B,C),u1_struct_0(A),k1_numbers) ) ) ).
fof(dt_k3_ncfcont1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k3_ncfcont1(A,B,C))
& m2_relset_1(k3_ncfcont1(A,B,C),u1_struct_0(A),k1_numbers) ) ) ).
fof(dt_k4_ncfcont1,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)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B)
& v1_funct_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k4_ncfcont1(A,B,C))
& m2_relset_1(k4_ncfcont1(A,B,C),u1_struct_0(A),k1_numbers) ) ) ).
fof(dt_k5_ncfcont1,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)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A)
& ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B)
& v1_funct_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m1_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( v1_funct_1(k5_ncfcont1(A,B,C,D))
& v1_funct_2(k5_ncfcont1(A,B,C,D),k5_numbers,u1_struct_0(B))
& m2_relset_1(k5_ncfcont1(A,B,C,D),k5_numbers,u1_struct_0(B)) ) ) ).
fof(dt_k6_ncfcont1,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)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& m1_relset_1(D,k5_numbers,u1_struct_0(A)) )
=> ( v1_funct_1(k6_ncfcont1(A,B,C,D))
& v1_funct_2(k6_ncfcont1(A,B,C,D),k5_numbers,u1_struct_0(B))
& m2_relset_1(k6_ncfcont1(A,B,C,D),k5_numbers,u1_struct_0(B)) ) ) ).
fof(dt_k7_ncfcont1,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)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_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)
& m1_relset_1(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D)
& v1_funct_2(D,k5_numbers,u1_struct_0(B))
& m1_relset_1(D,k5_numbers,u1_struct_0(B)) )
=> ( v1_funct_1(k7_ncfcont1(A,B,C,D))
& v1_funct_2(k7_ncfcont1(A,B,C,D),k5_numbers,u1_struct_0(A))
& m2_relset_1(k7_ncfcont1(A,B,C,D),k5_numbers,u1_struct_0(A)) ) ) ).
fof(dt_k8_ncfcont1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A)
& v1_funct_1(B)
& m1_relset_1(B,u1_struct_0(A),k2_numbers)
& v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( v1_funct_1(k8_ncfcont1(A,B,C))
& v1_funct_2(k8_ncfcont1(A,B,C),k5_numbers,k2_numbers)
& m2_relset_1(k8_ncfcont1(A,B,C),k5_numbers,k2_numbers) ) ) ).
fof(dt_k9_ncfcont1,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)
& v1_funct_1(B)
& m1_relset_1(B,u1_struct_0(A),k2_numbers)
& v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( v1_funct_1(k9_ncfcont1(A,B,C))
& v1_funct_2(k9_ncfcont1(A,B,C),k5_numbers,k2_numbers)
& m2_relset_1(k9_ncfcont1(A,B,C),k5_numbers,k2_numbers) ) ) ).
fof(dt_k10_ncfcont1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A)
& v1_funct_1(B)
& m1_relset_1(B,u1_struct_0(A),k1_numbers)
& v1_funct_1(C)
& v1_funct_2(C,k5_numbers,u1_struct_0(A))
& m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
=> ( v1_funct_1(k10_ncfcont1(A,B,C))
& v1_funct_2(k10_ncfcont1(A,B,C),k5_numbers,k1_numbers)
& m2_relset_1(k10_ncfcont1(A,B,C),k5_numbers,k1_numbers) ) ) ).
fof(d5_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( m1_ncfcont1(C,A,B)
<=> ? [D] :
( m1_subset_1(D,k1_numbers)
& ~ r1_xreal_0(D,np__0)
& r1_tarski(a_3_0_ncfcont1(A,B,D),C) ) ) ) ) ) ).
fof(t3_ncfcont1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v2_clvect_1(A)
& v5_clvect_1(A)
& l2_clvect_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ( ~ r1_xreal_0(C,np__0)
=> m1_ncfcont1(a_3_0_ncfcont1(A,B,C),A,B) ) ) ) ) ).
fof(fraenkel_a_3_0_ncfcont1,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)
& v2_clvect_1(B)
& v5_clvect_1(B)
& l2_clvect_1(B)
& m1_subset_1(C,u1_struct_0(B))
& m1_subset_1(D,k1_numbers) )
=> ( r2_hidden(A,a_3_0_ncfcont1(B,C,D))
<=> ? [E] :
( m1_subset_1(E,u1_struct_0(B))
& A = E
& ~ r1_xreal_0(D,k5_clvect_1(B,k6_rlvect_1(B,E,C))) ) ) ) ).
%------------------------------------------------------------------------------