% Mizar ND problem: t6_calcul_2,calcul_2,128,5 
fof(dh_c1_8__calcul_2,definition,
    ( ( m2_subset_1(c1_8__calcul_2,k1_numbers,k5_numbers)
     => ! [A] : 
          ( m2_subset_1(A,k1_numbers,k5_numbers)
         => r2_wellord2(k2_calcul_2(c1_8__calcul_2,A),A) ) )
   => ! [B] : 
        ( m2_subset_1(B,k1_numbers,k5_numbers)
       => ! [C] : 
            ( m2_subset_1(C,k1_numbers,k5_numbers)
           => r2_wellord2(k2_calcul_2(B,C),C) ) ) ),
    introduced(definition,[new_symbol(c1_8__calcul_2),file(calcul_2,c1_8__calcul_2)]),
    [interesting(0.8),axiom,file(calcul_2,c1_8__calcul_2)]).

fof(dh_c2_8__calcul_2,definition,
    ( ( m2_subset_1(c2_8__calcul_2,k1_numbers,k5_numbers)
     => r2_wellord2(k2_calcul_2(c1_8__calcul_2,c2_8__calcul_2),c2_8__calcul_2) )
   => ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => r2_wellord2(k2_calcul_2(c1_8__calcul_2,A),A) ) ),
    introduced(definition,[new_symbol(c2_8__calcul_2),file(calcul_2,c2_8__calcul_2)]),
    [interesting(0.8),axiom,file(calcul_2,c2_8__calcul_2)]).

fof(commutativity_k2_xcmplx_0,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k2_xcmplx_0(A,B) = k2_xcmplx_0(B,A) ) ),
    file(xcmplx_0,k2_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k2_xcmplx_0)]).

fof(reflexivity_r1_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,r1_xreal_0)]).

fof(connectedness_r1_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( r1_xreal_0(A,B)
        | r1_xreal_0(B,A) ) ) ),
    file(xreal_0,r1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,r1_xreal_0)]).

fof(dt_k2_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k2_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k2_xcmplx_0)]).

fof(cc1_finseq_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) ) ) ),
    file(finseq_1,cc1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,cc1_finseq_1)]).

fof(cc2_funct_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_1),
    [interesting(0.9),axiom,file(funct_1,cc2_funct_1)]).

fof(cc3_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc3_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc3_xreal_0)]).

fof(cc6_xreal_0,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_xreal_0(A) ) ) ),
    file(xreal_0,cc6_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc6_xreal_0)]).

fof(cc8_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc8_xreal_0)]).

fof(fc10_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(B,A))
        & v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A))
        & v2_xreal_0(k2_xcmplx_0(B,A))
        & ~ v3_xreal_0(k2_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc10_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc10_xreal_0)]).

fof(fc11_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & ~ v2_xreal_0(k2_xcmplx_0(A,B))
        & v3_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc11_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc11_xreal_0)]).

fof(fc12_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(B,A))
        & v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A))
        & ~ v2_xreal_0(k2_xcmplx_0(B,A))
        & v3_xreal_0(k2_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc12_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc12_xreal_0)]).

fof(fc1_int_1,theorem,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & v1_int_1(k2_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc1_int_1),
    [interesting(0.9),axiom,file(int_1,fc1_int_1)]).

fof(fc1_nat_1,theorem,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => ( v4_ordinal2(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(nat_1,fc1_nat_1),
    [interesting(0.9),axiom,file(nat_1,fc1_nat_1)]).

fof(fc3_nat_1,theorem,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & ~ v1_xboole_0(B)
        & v4_ordinal2(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(A,B))
        & v4_ordinal2(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(nat_1,fc3_nat_1),
    [interesting(0.9),axiom,file(nat_1,fc3_nat_1)]).

fof(fc3_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc3_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc3_xreal_0)]).

fof(fc4_nat_1,theorem,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & ~ v1_xboole_0(B)
        & v4_ordinal2(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(B,A))
        & v4_ordinal2(k2_xcmplx_0(B,A))
        & v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A)) ) ) ),
    file(nat_1,fc4_nat_1),
    [interesting(0.9),axiom,file(nat_1,fc4_nat_1)]).

fof(fc6_int_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A))
        & v1_int_1(k2_xcmplx_0(B,A)) ) ) ),
    file(int_1,fc6_int_1),
    [interesting(0.9),axiom,file(int_1,fc6_int_1)]).

fof(fc7_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & ~ v3_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc7_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc7_xreal_0)]).

fof(fc8_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & ~ v2_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc8_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc8_xreal_0)]).

fof(fc9_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & v2_xreal_0(k2_xcmplx_0(A,B))
        & ~ v3_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc9_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc9_xreal_0)]).

fof(rc1_finseq_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc1_finseq_1)]).

fof(rc1_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc1_funct_1)]).

fof(rc2_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc2_funct_1)]).

fof(rc2_xreal_0,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc2_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc2_xreal_0)]).

fof(rc3_finseq_1,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc3_finseq_1)]).

fof(rc3_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc3_funct_1)]).

fof(rc3_xreal_0,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & v3_xreal_0(A) ) ),
    file(xreal_0,rc3_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc3_xreal_0)]).

fof(rc4_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc4_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc4_funct_1)]).

fof(rc4_xreal_0,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc4_xreal_0)]).

fof(rc6_finseq_1,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc6_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc6_finseq_1)]).

fof(rc7_finseq_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc7_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc7_finseq_1)]).

fof(rc8_finseq_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc8_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc8_finseq_1)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r1,theorem,(
    r1_xreal_0(1,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r1)]).

fof(spc1_boole,theorem,(
    ~ v1_xboole_0(1) ),
    file(boole,spc1_boole),
    [interesting(0.9),axiom,file(boole,spc1_boole)]).

fof(spc1_numerals,theorem,
    ( v2_xreal_0(1)
    & m2_subset_1(1,k1_numbers,k5_numbers)
    & m1_subset_1(1,k5_numbers)
    & m1_subset_1(1,k1_numbers) ),
    file(numerals,spc1_numerals),
    [interesting(0.9),axiom,file(numerals,spc1_numerals)]).

fof(spc6_arithm,theorem,(
    ! [A,B,C] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B)
        & v1_xcmplx_0(C) )
     => k2_xcmplx_0(k2_xcmplx_0(A,B),C) = k2_xcmplx_0(A,k2_xcmplx_0(B,C)) ) ),
    file(arithm,spc6_arithm),
    [interesting(0.9),axiom,file(arithm,spc6_arithm)]).

fof(t1_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v2_xreal_0(A) )
           => v2_xreal_0(B) ) ) ) ),
    file(real,t1_real),
    [interesting(0.9),axiom,file(real,t1_real)]).

fof(t2_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v3_xreal_0(B) )
           => v3_xreal_0(A) ) ) ) ),
    file(real,t2_real),
    [interesting(0.9),axiom,file(real,t2_real)]).

fof(t3_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v3_xreal_0(A)
              & v3_xreal_0(B) ) ) ) ),
    file(real,t3_real),
    [interesting(0.9),axiom,file(real,t3_real)]).

fof(t4_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v2_xreal_0(B)
              & v2_xreal_0(A) ) ) ) ),
    file(real,t4_real),
    [interesting(0.9),axiom,file(real,t4_real)]).

fof(t5_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(B)
              | v3_xreal_0(A)
              | v2_xreal_0(B) ) ) ) ) ),
    file(real,t5_real),
    [interesting(0.9),axiom,file(real,t5_real)]).

fof(t6_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(A)
              | v2_xreal_0(B)
              | v3_xreal_0(A) ) ) ) ) ),
    file(real,t6_real),
    [interesting(0.9),axiom,file(real,t6_real)]).

fof(t7_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v2_xreal_0(A)
              & ~ v3_xreal_0(B) ) ) ) ),
    file(real,t7_real),
    [interesting(0.9),axiom,file(real,t7_real)]).

fof(t8_real,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v3_xreal_0(B)
              & ~ v2_xreal_0(A) ) ) ) ),
    file(real,t8_real),
    [interesting(0.9),axiom,file(real,t8_real)]).

fof(reflexivity_r1_tarski,theorem,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    [interesting(0.9),axiom,file(tarski,r1_tarski)]).

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(cc2_xreal_0,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc2_xreal_0)]).

fof(cc4_int_1,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(int_1,cc4_int_1),
    [interesting(0.9),axiom,file(int_1,cc4_int_1)]).

fof(cc4_xreal_0,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v2_xreal_0(A) ) ) ),
    file(xreal_0,cc4_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc4_xreal_0)]).

fof(cc5_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc5_xreal_0)]).

fof(cc7_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc7_xreal_0)]).

fof(fc2_finseq_1,theorem,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0) ),
    file(finseq_1,fc2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc2_finseq_1)]).

fof(rc1_int_1,theorem,(
    ? [A] : 
      ( m1_subset_1(A,k1_numbers)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A) ) ),
    file(int_1,rc1_int_1),
    [interesting(0.9),axiom,file(int_1,rc1_int_1)]).

fof(rc1_nat_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc1_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc1_nat_1)]).

fof(rc1_xreal_0,theorem,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc1_xreal_0)]).

fof(rc2_int_1,theorem,(
    ? [A] : v1_int_1(A) ),
    file(int_1,rc2_int_1),
    [interesting(0.9),axiom,file(int_1,rc2_int_1)]).

fof(rc2_nat_1,theorem,(
    ? [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
      & ~ v1_xboole_0(A)
      & v3_ordinal1(A) ) ),
    file(nat_1,rc2_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc2_nat_1)]).

fof(rc3_nat_1,theorem,(
    ? [A] : 
      ( m1_subset_1(A,k5_numbers)
      & ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc3_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc3_nat_1)]).

fof(t1_subset,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    [interesting(0.9),axiom,file(subset,t1_subset)]).

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(t2_tarski,theorem,(
    ! [A,B] : 
      ( ! [C] : 
          ( r2_hidden(C,A)
        <=> r2_hidden(C,B) )
     => A = B ) ),
    file(tarski,t2_tarski),
    [interesting(0.9),axiom,file(tarski,t2_tarski)]).

fof(fraenkel_a_2_0_calcul_2,definition,(
    ! [A,B,C] : 
      ( ( v4_ordinal2(B)
        & v4_ordinal2(C) )
     => ( r2_hidden(A,a_2_0_calcul_2(B,C))
      <=> ? [D] : 
            ( m2_subset_1(D,k1_numbers,k5_numbers)
            & A = D
            & r1_xreal_0(k2_xcmplx_0(1,B),D)
            & r1_xreal_0(D,k2_xcmplx_0(C,B)) ) ) ) ),
    file(calcul_2,a_2_0_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,a_2_0_calcul_2)]).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dt_k1_calcul_2,axiom,(
    $true ),
    file(calcul_2,k1_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,k1_calcul_2)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

fof(dt_k5_ordinal2,axiom,(
    $true ),
    file(ordinal2,k5_ordinal2),
    [interesting(0.9),axiom,file(ordinal2,k5_ordinal2)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(cc1_funct_1,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_1),
    [interesting(0.9),axiom,file(funct_1,cc1_funct_1)]).

fof(cc1_nat_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(nat_1,cc1_nat_1),
    [interesting(0.9),axiom,file(nat_1,cc1_nat_1)]).

fof(cc1_xreal_0,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xreal_0(A) ) ),
    file(xreal_0,cc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc1_xreal_0)]).

fof(cc2_int_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_int_1(A) ) ) ),
    file(int_1,cc2_int_1),
    [interesting(0.9),axiom,file(int_1,cc2_int_1)]).

fof(cc2_nat_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc2_nat_1),
    [interesting(0.9),axiom,file(nat_1,cc2_nat_1)]).

fof(cc3_int_1,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_int_1(A) ) ),
    file(int_1,cc3_int_1),
    [interesting(0.9),axiom,file(int_1,cc3_int_1)]).

fof(cc3_nat_1,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc3_nat_1),
    [interesting(0.9),axiom,file(nat_1,cc3_nat_1)]).

fof(fc1_ordinal2,theorem,
    ( v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & ~ v1_xboole_0(k5_ordinal2) ),
    file(ordinal2,fc1_ordinal2),
    [interesting(0.9),axiom,file(ordinal2,fc1_ordinal2)]).

fof(t2_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    [interesting(0.9),axiom,file(subset,t2_subset)]).

fof(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

fof(d1_calcul_2,definition,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => k1_calcul_2(A,B) = a_2_0_calcul_2(A,B) ) ) ),
    file(calcul_2,d1_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,d1_calcul_2)]).

fof(symmetry_r2_wellord2,theorem,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
     => r2_wellord2(B,A) ) ),
    file(wellord2,r2_wellord2),
    [interesting(0.9),axiom,file(wellord2,r2_wellord2)]).

fof(reflexivity_r2_wellord2,theorem,(
    ! [A,B] : r2_wellord2(A,A) ),
    file(wellord2,r2_wellord2),
    [interesting(0.9),axiom,file(wellord2,r2_wellord2)]).

fof(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(redefinition_k2_calcul_2,definition,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => k2_calcul_2(A,B) = k1_calcul_2(A,B) ) ),
    file(calcul_2,k2_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,k2_calcul_2)]).

fof(redefinition_k5_numbers,definition,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    [interesting(0.9),axiom,file(numbers,k5_numbers)]).

fof(redefinition_m2_subset_1,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(redefinition_r2_wellord2,definition,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
    <=> r2_tarski(A,B) ) ),
    file(wellord2,r2_wellord2),
    [interesting(0.9),axiom,file(wellord2,r2_wellord2)]).

fof(dt_k1_numbers,axiom,(
    $true ),
    file(numbers,k1_numbers),
    [interesting(0.9),axiom,file(numbers,k1_numbers)]).

fof(dt_k2_calcul_2,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => m1_subset_1(k2_calcul_2(A,B),k1_zfmisc_1(k5_numbers)) ) ),
    file(calcul_2,k2_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,k2_calcul_2)]).

fof(dt_k5_numbers,axiom,(
    m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
    file(numbers,k5_numbers),
    [interesting(0.9),axiom,file(numbers,k5_numbers)]).

fof(dt_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(dt_c1_8__calcul_2,assumption,(
    m2_subset_1(c1_8__calcul_2,k1_numbers,k5_numbers) ),
    introduced(assumption,[file(calcul_2,c1_8__calcul_2)]),
    [interesting(0.8),axiom,file(calcul_2,c1_8__calcul_2)]).

fof(dt_c2_8__calcul_2,assumption,(
    m2_subset_1(c2_8__calcul_2,k1_numbers,k5_numbers) ),
    introduced(assumption,[file(calcul_2,c2_8__calcul_2)]),
    [interesting(0.8),axiom,file(calcul_2,c2_8__calcul_2)]).

fof(commutativity_k1_nat_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k1_nat_1(B,A) ) ),
    file(nat_1,k1_nat_1),
    [interesting(0.9),axiom,file(nat_1,k1_nat_1)]).

fof(redefinition_k1_nat_1,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k2_xcmplx_0(A,B) ) ),
    file(nat_1,k1_nat_1),
    [interesting(0.9),axiom,file(nat_1,k1_nat_1)]).

fof(dt_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_subset_1(k1_nat_1(A,B),k1_numbers,k5_numbers) ) ),
    file(nat_1,k1_nat_1),
    [interesting(0.9),axiom,file(nat_1,k1_nat_1)]).

fof(spc0_numerals,theorem,
    ( v2_xreal_0(0)
    & m2_subset_1(0,k1_numbers,k5_numbers)
    & m1_subset_1(0,k5_numbers)
    & m1_subset_1(0,k1_numbers) ),
    file(numerals,spc0_numerals),
    [interesting(0.9),axiom,file(numerals,spc0_numerals)]).

fof(spc0_boole,theorem,(
    v1_xboole_0(0) ),
    file(boole,spc0_boole),
    [interesting(0.9),axiom,file(boole,spc0_boole)]).

fof(s1_nat_1__e3_8__calcul_2,theorem,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ( ( r2_wellord2(k2_calcul_2(A,0),0)
          & ! [B] : 
              ( m2_subset_1(B,k1_numbers,k5_numbers)
             => ( r2_wellord2(k2_calcul_2(A,B),B)
               => r2_wellord2(k2_calcul_2(A,k1_nat_1(B,1)),k1_nat_1(B,1)) ) ) )
       => ! [B] : 
            ( m2_subset_1(B,k1_numbers,k5_numbers)
           => r2_wellord2(k2_calcul_2(A,B),B) ) ) ) ),
    file(calcul_2,s1_nat_1__e3_8__calcul_2),
    [interesting(0.9),axiom,file(calcul_2,s1_nat_1__e3_8__calcul_2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r0,theorem,(
    r1_xreal_0(0,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r0)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r1,theorem,(
    r1_xreal_0(0,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r1)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r0,theorem,(
    ~ r1_xreal_0(1,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r0)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0,theorem,(
    k2_xcmplx_0(0,0) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r0_r0)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1,theorem,(
    k2_xcmplx_0(0,1) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r1_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1,theorem,(
    k2_xcmplx_0(1,0) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_r0_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_r0_r1)]).

fof(t1_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k2_xcmplx_0(A,0) = A ) ),
    file(arithm,t1_arithm),
    [interesting(0.9),axiom,file(arithm,t1_arithm)]).

fof(t1_numerals,theorem,(
    m1_subset_1(0,k5_numbers) ),
    file(numerals,t1_numerals),
    [interesting(0.9),axiom,file(numerals,t1_numerals)]).

fof(t2_calcul_2,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => k2_calcul_2(A,0) = k1_xboole_0 ) ),
    file(calcul_2,t2_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,t2_calcul_2)]).

fof(e1_8__calcul_2,plain,(
    r2_wellord2(k2_calcul_2(c1_8__calcul_2,0),0) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2])],[commutativity_k2_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,dt_k2_xcmplx_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc1_nat_1,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc6_int_1,fc7_xreal_0,fc8_xreal_0,fc9_xreal_0,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r1_r0,rqLessOrEqual__r1_xreal_0__r1_r1,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r1_r0_r1,spc1_boole,spc1_numerals,spc6_arithm,t1_arithm,t1_real,t2_real,t3_real,t4_real,t5_real,t6_real,t7_real,t8_real,spc1_numerals,spc1_boole,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k5_ordinal2,fc1_ordinal2,rc2_nat_1,rc3_nat_1,t1_subset,t4_subset,t5_subset,t2_tarski,fraenkel_a_2_0_calcul_2,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_calcul_2,dt_k1_numbers,dt_k1_zfmisc_1,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_finseq_1,cc1_funct_1,cc1_nat_1,cc2_funct_1,cc2_int_1,cc2_nat_1,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,rc1_finseq_1,rc1_funct_1,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_funct_1,rc2_int_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,t1_numerals,t2_subset,t3_subset,t7_boole,t8_boole,d1_calcul_2,symmetry_r2_wellord2,reflexivity_r2_wellord2,redefinition_k2_calcul_2,redefinition_r2_wellord2,dt_k1_xboole_0,dt_k2_calcul_2,dt_c1_8__calcul_2,cc1_xreal_0,cc3_int_1,cc3_nat_1,fc2_finseq_1,t6_boole,spc0_numerals,spc0_boole,t2_calcul_2]),
    [interesting(0.8),file(calcul_2,e1_8__calcul_2),[file(calcul_2,e1_8__calcul_2)]]).

fof(dh_c1_8_1__calcul_2,definition,
    ( ( m2_subset_1(c1_8_1__calcul_2,k1_numbers,k5_numbers)
     => ( r2_wellord2(k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2),c1_8_1__calcul_2)
       => r2_wellord2(k2_calcul_2(c1_8__calcul_2,k1_nat_1(c1_8_1__calcul_2,1)),k1_nat_1(c1_8_1__calcul_2,1)) ) )
   => ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ( r2_wellord2(k2_calcul_2(c1_8__calcul_2,A),A)
         => r2_wellord2(k2_calcul_2(c1_8__calcul_2,k1_nat_1(A,1)),k1_nat_1(A,1)) ) ) ),
    introduced(definition,[new_symbol(c1_8_1__calcul_2),file(calcul_2,c1_8_1__calcul_2)]),
    [interesting(0.65),axiom,file(calcul_2,c1_8_1__calcul_2)]).

fof(e1_8_1__calcul_2,assumption,(
    r2_wellord2(k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2),c1_8_1__calcul_2) ),
    introduced(assumption,[file(calcul_2,e1_8_1__calcul_2)]),
    [interesting(0.65),axiom,file(calcul_2,e1_8_1__calcul_2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r2,theorem,(
    r1_xreal_0(0,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r3,theorem,(
    r1_xreal_0(0,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rm1,theorem,(
    ~ r1_xreal_0(0,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rm2,theorem,(
    ~ r1_xreal_0(0,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rm3,theorem,(
    ~ r1_xreal_0(0,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn1d2,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn1d3,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn2d3,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn3d2,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rnm1d2,theorem,(
    ~ r1_xreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rnm1d3,theorem,(
    ~ r1_xreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r2,theorem,(
    r1_xreal_0(1,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r3,theorem,(
    r1_xreal_0(1,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rm1,theorem,(
    ~ r1_xreal_0(1,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rm2,theorem,(
    ~ r1_xreal_0(1,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rm3,theorem,(
    ~ r1_xreal_0(1,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn1d2,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn1d3,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn2d3,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn3d2,theorem,(
    r1_xreal_0(1,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rnm1d2,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rnm1d3,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rnm3d2,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r0,theorem,(
    ~ r1_xreal_0(2,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r1,theorem,(
    ~ r1_xreal_0(2,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r2,theorem,(
    r1_xreal_0(2,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r3,theorem,(
    r1_xreal_0(2,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rm1,theorem,(
    ~ r1_xreal_0(2,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rm2,theorem,(
    ~ r1_xreal_0(2,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rm3,theorem,(
    ~ r1_xreal_0(2,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn1d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn1d3,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn2d3,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn3d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rnm1d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rnm1d3,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rnm3d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r0,theorem,(
    ~ r1_xreal_0(3,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r1,theorem,(
    ~ r1_xreal_0(3,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r2,theorem,(
    ~ r1_xreal_0(3,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r3,theorem,(
    r1_xreal_0(3,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rm1,theorem,(
    ~ r1_xreal_0(3,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rm2,theorem,(
    ~ r1_xreal_0(3,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rm3,theorem,(
    ~ r1_xreal_0(3,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn1d2,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn1d3,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn2d3,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn3d2,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rnm1d2,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rnm1d3,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r0,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r1,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rm1,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rm2,theorem,(
    ~ r1_xreal_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rm3,theorem,(
    ~ r1_xreal_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn1d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn1d3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn2d3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn3d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rnm1d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rnm1d3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rnm3d2,theorem,(
    ~ r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r0,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r1,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r2,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r3,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_rm1,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_rm2,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r0,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r1,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r2,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r3,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_rm1,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_rm3,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_rn1d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rm3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(3,2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(3,2),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_r0,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r0,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3)]).

fof(fc13_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v3_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc13_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc13_xreal_0)]).

fof(fc14_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v2_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc14_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc14_xreal_0)]).

fof(fc15_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & ~ v3_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc15_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc15_xreal_0)]).

fof(fc16_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & ~ v2_xreal_0(k6_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc16_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc16_xreal_0)]).

fof(fc17_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(A,B))
        & v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v2_xreal_0(k6_xcmplx_0(A,B))
        & ~ v3_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc17_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc17_xreal_0)]).

fof(fc18_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(B,A))
        & v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & ~ v2_xreal_0(k6_xcmplx_0(B,A))
        & v3_xreal_0(k6_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc18_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc18_xreal_0)]).

fof(fc19_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(A,B))
        & v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & ~ v2_xreal_0(k6_xcmplx_0(A,B))
        & v3_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc19_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc19_xreal_0)]).

fof(fc1_xreal_0,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc1_xreal_0)]).

fof(fc20_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(B,A))
        & v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & v2_xreal_0(k6_xcmplx_0(B,A))
        & ~ v3_xreal_0(k6_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc20_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc20_xreal_0)]).

fof(fc27_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B))
        & ~ v2_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc27_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc27_xreal_0)]).

fof(fc28_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(B,A))
        & v1_xreal_0(k7_xcmplx_0(B,A))
        & ~ v2_xreal_0(k7_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc28_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc28_xreal_0)]).

fof(fc29_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B))
        & ~ v3_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc29_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc29_xreal_0)]).

fof(fc30_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B))
        & ~ v3_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc30_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc30_xreal_0)]).

fof(fc3_int_1,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & v1_int_1(k4_xcmplx_0(A)) ) ) ),
    file(int_1,fc3_int_1),
    [interesting(0.9),axiom,file(int_1,fc3_int_1)]).

fof(fc4_int_1,theorem,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v1_int_1(k6_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc4_int_1),
    [interesting(0.9),axiom,file(int_1,fc4_int_1)]).

fof(fc5_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc5_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc5_xreal_0)]).

fof(fc6_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc6_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc6_xreal_0)]).

fof(fc8_int_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & v1_int_1(k6_xcmplx_0(B,A)) ) ) ),
    file(int_1,fc8_int_1),
    [interesting(0.9),axiom,file(int_1,fc8_int_1)]).

fof(t1_boole,theorem,(
    ! [A] : k2_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t1_boole),
    [interesting(0.9),axiom,file(boole,t1_boole)]).

fof(fc5_int_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v2_xreal_0(k4_xcmplx_0(A))
        & v1_int_1(k4_xcmplx_0(A)) ) ) ),
    file(int_1,fc5_int_1),
    [interesting(0.9),axiom,file(int_1,fc5_int_1)]).

fof(fc9_int_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v1_int_1(k6_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc9_int_1),
    [interesting(0.9),axiom,file(int_1,fc9_int_1)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2,theorem,(
    k2_xcmplx_0(0,2) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r2_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3,theorem,(
    k2_xcmplx_0(0,3) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r3_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,theorem,(
    k2_xcmplx_0(0,k4_xcmplx_0(1)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,theorem,(
    k2_xcmplx_0(0,k4_xcmplx_0(2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3,theorem,(
    k2_xcmplx_0(0,k4_xcmplx_0(3)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm3_rm3)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2,theorem,(
    k2_xcmplx_0(1,1) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_r1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_r1_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3,theorem,(
    k2_xcmplx_0(1,2) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_r2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_r2_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0,theorem,(
    k2_xcmplx_0(1,k4_xcmplx_0(1)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm1_r0)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,theorem,(
    k2_xcmplx_0(1,k4_xcmplx_0(2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2,theorem,(
    k2_xcmplx_0(1,k4_xcmplx_0(3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2,theorem,(
    k2_xcmplx_0(2,0) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_r0_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_r0_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3,theorem,(
    k2_xcmplx_0(2,1) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_r1_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_r1_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1,theorem,(
    k2_xcmplx_0(2,k4_xcmplx_0(1)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm1_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0,theorem,(
    k2_xcmplx_0(2,k4_xcmplx_0(2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1,theorem,(
    k2_xcmplx_0(2,k4_xcmplx_0(3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm3_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2,theorem,(
    k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2,theorem,(
    k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3,theorem,(
    k2_xcmplx_0(3,0) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_r0_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_r0_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2,theorem,(
    k2_xcmplx_0(3,k4_xcmplx_0(1)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm1_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1,theorem,(
    k2_xcmplx_0(3,k4_xcmplx_0(2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0,theorem,(
    k2_xcmplx_0(3,k4_xcmplx_0(3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),0) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),1) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r1_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),2) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),3) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r3_r2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),0) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),2) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),3) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r3_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),1) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r1_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),2) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),3) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),0) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),0) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),0) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(1)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(2,3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),2) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0)]).

fof(spc1_arithm,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k2_xcmplx_0(A,k4_xcmplx_0(B)) = k6_xcmplx_0(A,B) ) ),
    file(arithm,spc1_arithm),
    [interesting(0.9),axiom,file(arithm,spc1_arithm)]).

fof(spc8_arithm,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k2_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k4_xcmplx_0(k2_xcmplx_0(A,B)) ) ),
    file(arithm,spc8_arithm),
    [interesting(0.9),axiom,file(arithm,spc8_arithm)]).

fof(spc9_arithm,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k6_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k6_xcmplx_0(B,A) ) ),
    file(arithm,spc9_arithm),
    [interesting(0.9),axiom,file(arithm,spc9_arithm)]).

fof(t4_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k6_xcmplx_0(A,0) = A ) ),
    file(arithm,t4_arithm),
    [interesting(0.9),axiom,file(arithm,t4_arithm)]).

fof(t5_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k7_xcmplx_0(0,A) = 0 ) ),
    file(arithm,t5_arithm),
    [interesting(0.9),axiom,file(arithm,t5_arithm)]).

fof(t6_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k7_xcmplx_0(A,1) = A ) ),
    file(arithm,t6_arithm),
    [interesting(0.9),axiom,file(arithm,t6_arithm)]).

fof(commutativity_k2_xboole_0,theorem,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(idempotence_k2_xboole_0,theorem,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(involutiveness_k4_xcmplx_0,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k4_xcmplx_0(k4_xcmplx_0(A)) = A ) ),
    file(xcmplx_0,k4_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k4_xcmplx_0)]).

fof(symmetry_r1_xboole_0,theorem,(
    ! [A,B] : 
      ( r1_xboole_0(A,B)
     => r1_xboole_0(B,A) ) ),
    file(xboole_0,r1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,r1_xboole_0)]).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    [interesting(0.9),axiom,file(tarski,k1_tarski)]).

fof(dt_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(dt_k4_xcmplx_0,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
    file(xcmplx_0,k4_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k4_xcmplx_0)]).

fof(dt_k6_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k6_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k6_xcmplx_0)]).

fof(dt_k7_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k7_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k7_xcmplx_0)]).

fof(dt_c1_8_1__calcul_2,assumption,(
    m2_subset_1(c1_8_1__calcul_2,k1_numbers,k5_numbers) ),
    introduced(assumption,[file(calcul_2,c1_8_1__calcul_2)]),
    [interesting(0.65),axiom,file(calcul_2,c1_8_1__calcul_2)]).

fof(de_c2_8_1__calcul_2,definition,(
    c2_8_1__calcul_2 = k1_nat_1(c1_8__calcul_2,c1_8_1__calcul_2) ),
    introduced(definition,[new_symbol(c2_8_1__calcul_2),file(calcul_2,c2_8_1__calcul_2)]),
    [interesting(0.65),axiom,file(calcul_2,c2_8_1__calcul_2)]).

fof(e2_8_1__calcul_2,plain,(
    m2_subset_1(k1_nat_1(c1_8__calcul_2,c1_8_1__calcul_2),k1_numbers,k5_numbers) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2])],[cc1_finseq_1,cc2_funct_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc1_int_1,fc1_nat_1,fc2_finseq_1,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc6_int_1,fc7_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc3_nat_1,spc6_arithm,t1_subset,t4_subset,t5_subset,commutativity_k2_xcmplx_0,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k5_ordinal2,dt_m1_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,fc1_ordinal2,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_nat_1,dt_k1_numbers,dt_k5_numbers,dt_m2_subset_1,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2]),
    [interesting(0.65),file(calcul_2,e2_8_1__calcul_2),[file(calcul_2,e2_8_1__calcul_2)]]).

fof(dt_c2_8_1__calcul_2,plain,(
    m2_subset_1(c2_8_1__calcul_2,k1_numbers,k5_numbers) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2])],[cc1_finseq_1,cc2_funct_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc1_int_1,fc1_nat_1,fc2_finseq_1,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc6_int_1,fc7_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc3_nat_1,spc6_arithm,t1_subset,t4_subset,t5_subset,commutativity_k2_xcmplx_0,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k5_ordinal2,dt_m1_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,fc1_ordinal2,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_nat_1,dt_k1_numbers,dt_k5_numbers,dt_m2_subset_1,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,de_c2_8_1__calcul_2,e2_8_1__calcul_2]),
    [interesting(0.65),file(calcul_2,c2_8_1__calcul_2),[file(calcul_2,c2_8_1__calcul_2)]]).

fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0,theorem,(
    k6_xcmplx_0(0,0) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r0_r0)]).

fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1,theorem,(
    k6_xcmplx_0(0,1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r1_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2,theorem,(
    k6_xcmplx_0(0,2) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r2_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3,theorem,(
    k6_xcmplx_0(0,3) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r3_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1,theorem,(
    k6_xcmplx_0(0,k4_xcmplx_0(1)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm1_r1)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2,theorem,(
    k6_xcmplx_0(0,k4_xcmplx_0(2)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm2_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3,theorem,(
    k6_xcmplx_0(0,k4_xcmplx_0(3)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm3_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1,theorem,(
    k6_xcmplx_0(1,0) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r0_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r0_r1)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1,theorem,(
    k6_xcmplx_0(1,2) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2,theorem,(
    k6_xcmplx_0(1,3) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r3_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3,theorem,(
    k6_xcmplx_0(1,k4_xcmplx_0(2)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm2_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2,theorem,(
    k6_xcmplx_0(2,0) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r0_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r0_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0,theorem,(
    k6_xcmplx_0(2,2) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1,theorem,(
    k6_xcmplx_0(2,3) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3,theorem,(
    k6_xcmplx_0(2,k4_xcmplx_0(1)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm1_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm1_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2,theorem,(
    k6_xcmplx_0(2,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2,theorem,(
    k6_xcmplx_0(2,k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3,theorem,(
    k6_xcmplx_0(3,0) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r0_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r0_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2,theorem,(
    k6_xcmplx_0(3,1) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r1_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1,theorem,(
    k6_xcmplx_0(3,2) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0,theorem,(
    k6_xcmplx_0(3,3) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2,theorem,(
    k6_xcmplx_0(3,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),0) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),2) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),0) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(3)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),0) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),0) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),2) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),0) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),1) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),0) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),1) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),1) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),3) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),0) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),0) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(1)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(1)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(3)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_r1_r0,theorem,(
    k7_xcmplx_0(0,1) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_r1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_r1_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_r2_r0,theorem,(
    k7_xcmplx_0(0,2) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_r2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_r2_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_r3_r0,theorem,(
    k7_xcmplx_0(0,3) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_r3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_r3_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0,theorem,(
    k7_xcmplx_0(0,k7_xcmplx_0(1,2)) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1,theorem,(
    k7_xcmplx_0(1,1) = 1 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_r1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_r1_r1)]).

fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,theorem,(
    k7_xcmplx_0(1,2) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3,theorem,(
    k7_xcmplx_0(1,3) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,theorem,(
    k7_xcmplx_0(1,k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3,theorem,(
    k7_xcmplx_0(1,k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(1,2)) = 2 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(1,3)) = 3 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3)]).

fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2,theorem,(
    k7_xcmplx_0(2,1) = 2 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r2_r1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r2_r1_r2)]).

fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1,theorem,(
    k7_xcmplx_0(2,2) = 1 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r2_r2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r2_r2_r1)]).

fof(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3,theorem,(
    k7_xcmplx_0(2,3) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3)]).

fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2,theorem,(
    k7_xcmplx_0(3,2) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2)]).

fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1,theorem,(
    k7_xcmplx_0(3,3) = 1 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r3_r3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r3_r3_r1)]).

fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,theorem,(
    k7_xcmplx_0(k4_xcmplx_0(1),1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1)]).

fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,theorem,(
    k7_xcmplx_0(k4_xcmplx_0(1),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2)]).

fof(rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1,theorem,(
    k7_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1)]).

fof(rqRealNeg__k4_xcmplx_0__r0_r0,theorem,(
    k4_xcmplx_0(0) = 0 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r0_r0)]).

fof(rqRealNeg__k4_xcmplx_0__r2_rm2,theorem,(
    k4_xcmplx_0(2) = k4_xcmplx_0(2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r2_rm2)]).

fof(rqRealNeg__k4_xcmplx_0__r3_rm3,theorem,(
    k4_xcmplx_0(3) = k4_xcmplx_0(3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r3_rm3)]).

fof(rqRealNeg__k4_xcmplx_0__rm2_r2,theorem,(
    k4_xcmplx_0(k4_xcmplx_0(2)) = 2 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rm2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rm2_r2)]).

fof(rqRealNeg__k4_xcmplx_0__rm3_r3,theorem,(
    k4_xcmplx_0(k4_xcmplx_0(3)) = 3 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rm3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rm3_r3)]).

fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2)]).

fof(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3)]).

fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3)]).

fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2)]).

fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2)]).

fof(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3)]).

fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3)]).

fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2)]).

fof(spc2_numerals,theorem,
    ( v2_xreal_0(2)
    & m2_subset_1(2,k1_numbers,k5_numbers)
    & m1_subset_1(2,k5_numbers)
    & m1_subset_1(2,k1_numbers) ),
    file(numerals,spc2_numerals),
    [interesting(0.9),axiom,file(numerals,spc2_numerals)]).

fof(spc3_numerals,theorem,
    ( v2_xreal_0(3)
    & m2_subset_1(3,k1_numbers,k5_numbers)
    & m1_subset_1(3,k5_numbers)
    & m1_subset_1(3,k1_numbers) ),
    file(numerals,spc3_numerals),
    [interesting(0.9),axiom,file(numerals,spc3_numerals)]).

fof(spc2_boole,theorem,(
    ~ v1_xboole_0(2) ),
    file(boole,spc2_boole),
    [interesting(0.9),axiom,file(boole,spc2_boole)]).

fof(spc3_boole,theorem,(
    ~ v1_xboole_0(3) ),
    file(boole,spc3_boole),
    [interesting(0.9),axiom,file(boole,spc3_boole)]).

fof(e1_8_1_3__calcul_2,assumption,(
    ~ r1_xboole_0(k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2),k1_tarski(k1_nat_1(c2_8_1__calcul_2,1))) ),
    introduced(assumption,[file(calcul_2,e1_8_1_3__calcul_2)]),
    [interesting(0.5),axiom,file(calcul_2,e1_8_1_3__calcul_2)]).

fof(dh_c1_8_1_3__calcul_2,definition,
    ( ? [A] : 
        ( r2_hidden(A,k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2))
        & r2_hidden(A,k1_tarski(k1_nat_1(c2_8_1__calcul_2,1))) )
   => ( r2_hidden(c1_8_1_3__calcul_2,k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2))
      & r2_hidden(c1_8_1_3__calcul_2,k1_tarski(k1_nat_1(c2_8_1__calcul_2,1))) ) ),
    introduced(definition,[new_symbol(c1_8_1_3__calcul_2),file(calcul_2,c1_8_1_3__calcul_2)]),
    [interesting(0.5),axiom,file(calcul_2,c1_8_1_3__calcul_2)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1,theorem,(
    k6_xcmplx_0(2,1) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r1_r1)]).

fof(t3_xboole_0,theorem,(
    ! [A,B] : 
      ( ~ ( ~ r1_xboole_0(A,B)
          & ! [C] : 
              ~ ( r2_hidden(C,A)
                & r2_hidden(C,B) ) )
      & ~ ( ? [C] : 
              ( r2_hidden(C,A)
              & r2_hidden(C,B) )
          & r1_xboole_0(A,B) ) ) ),
    file(xboole_0,t3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,t3_xboole_0)]).

fof(rqRealNeg__k4_xcmplx_0__r1_rm1,theorem,(
    k4_xcmplx_0(1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r1_rm1)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,theorem,(
    k7_xcmplx_0(1,k4_xcmplx_0(1)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1)]).

fof(rqRealNeg__k4_xcmplx_0__rm1_r1,theorem,(
    k4_xcmplx_0(k4_xcmplx_0(1)) = 1 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rm1_r1)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0,theorem,(
    k6_xcmplx_0(1,1) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r1_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),1) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2,theorem,(
    k6_xcmplx_0(1,k4_xcmplx_0(1)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm1_r2)]).

fof(e2_8_1_3__calcul_2,plain,(
    ? [A] : 
      ( r2_hidden(A,k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2))
      & r2_hidden(A,k1_tarski(k1_nat_1(c2_8_1__calcul_2,1))) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,e1_8_1_3__calcul_2])],[reflexivity_r1_xreal_0,connectedness_r1_xreal_0,cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r0_r2,rqLessOrEqual__r1_xreal_0__r0_rm1,rqLessOrEqual__r1_xreal_0__r0_rm2,rqLessOrEqual__r1_xreal_0__r0_rn1d2,rqLessOrEqual__r1_xreal_0__r0_rnm1d2,rqLessOrEqual__r1_xreal_0__r1_r0,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r1_r2,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_rm2,rqLessOrEqual__r1_xreal_0__r1_rn1d2,rqLessOrEqual__r1_xreal_0__r1_rnm1d2,rqLessOrEqual__r1_xreal_0__r2_r0,rqLessOrEqual__r1_xreal_0__r2_r1,rqLessOrEqual__r1_xreal_0__r2_r2,rqLessOrEqual__r1_xreal_0__r2_rm1,rqLessOrEqual__r1_xreal_0__r2_rm2,rqLessOrEqual__r1_xreal_0__r2_rn1d2,rqLessOrEqual__r1_xreal_0__r2_rnm1d2,rqLessOrEqual__r1_xreal_0__rm1_r0,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_r2,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqLessOrEqual__r1_xreal_0__rm1_rm2,rqLessOrEqual__r1_xreal_0__rm1_rn1d2,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2,rqLessOrEqual__r1_xreal_0__rm2_r0,rqLessOrEqual__r1_xreal_0__rm2_r1,rqLessOrEqual__r1_xreal_0__rm2_r2,rqLessOrEqual__r1_xreal_0__rm2_rm1,rqLessOrEqual__r1_xreal_0__rm2_rm2,rqLessOrEqual__r1_xreal_0__rn1d2_r0,rqLessOrEqual__r1_xreal_0__rn1d2_r1,rqLessOrEqual__r1_xreal_0__rn1d2_r2,rqLessOrEqual__r1_xreal_0__rn1d2_rm1,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_r0,rqLessOrEqual__r1_xreal_0__rnm1d2_r1,rqLessOrEqual__r1_xreal_0__rnm1d2_r2,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2,t1_real,t2_real,t3_real,t4_real,t5_real,t6_real,t7_real,t8_real,reflexivity_r1_tarski,dt_k1_xboole_0,dt_k5_ordinal2,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc13_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc17_xreal_0,fc18_xreal_0,fc19_xreal_0,fc1_int_1,fc1_ordinal2,fc1_xreal_0,fc20_xreal_0,fc27_xreal_0,fc28_xreal_0,fc29_xreal_0,fc2_finseq_1,fc30_xreal_0,fc3_int_1,fc3_xreal_0,fc4_int_1,fc5_xreal_0,fc6_int_1,fc6_xreal_0,fc7_xreal_0,fc8_int_1,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t2_tarski,fraenkel_a_2_0_calcul_2,commutativity_k2_xcmplx_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_calcul_2,dt_k1_numbers,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc1_xreal_0,cc2_int_1,cc2_nat_1,cc3_int_1,cc3_nat_1,fc1_nat_1,fc3_nat_1,fc4_nat_1,fc5_int_1,fc9_int_1,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_r2_r2,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__r2_rm2_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealAdd__k2_xcmplx_0__rm1_r2_r1,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealAdd__k2_xcmplx_0__rm2_r2_r0,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_subset,t3_subset,t4_arithm,t4_subset,t5_arithm,t5_subset,t6_arithm,t6_boole,t8_boole,d1_calcul_2,commutativity_k1_nat_1,involutiveness_k4_xcmplx_0,symmetry_r1_xboole_0,antisymmetry_r2_hidden,redefinition_k1_nat_1,redefinition_k2_calcul_2,dt_k1_nat_1,dt_k1_tarski,dt_k2_calcul_2,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,dt_c2_8_1__calcul_2,de_c2_8_1__calcul_2,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_r2_rm2,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiv__k7_xcmplx_0__r0_r1_r0,rqRealDiv__k7_xcmplx_0__r0_r2_r0,rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0,rqRealDiv__k7_xcmplx_0__r1_r1_r1,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r2_r1_r2,rqRealDiv__k7_xcmplx_0__r2_r2_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,t1_subset,t7_boole,spc0_numerals,spc1_numerals,spc2_numerals,spc0_boole,spc1_boole,spc2_boole,e1_8_1_3__calcul_2,t3_xboole_0,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_rm1_r2]),
    [interesting(0.5),file(calcul_2,e2_8_1_3__calcul_2),[file(calcul_2,e2_8_1_3__calcul_2)]]).

fof(dt_c1_8_1_3__calcul_2,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,e1_8_1_3__calcul_2])],[dh_c1_8_1_3__calcul_2,e2_8_1_3__calcul_2]),
    [interesting(0.5),file(calcul_2,c1_8_1_3__calcul_2),[file(calcul_2,c1_8_1_3__calcul_2)]]).

fof(t38_nat_1,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => ( ~ r1_xreal_0(k2_xcmplx_0(B,1),A)
          <=> r1_xreal_0(A,B) ) ) ) ),
    file(nat_1,t38_nat_1),
    [interesting(0.9),axiom,file(nat_1,t38_nat_1)]).

fof(e5_8_1_3__calcul_2,plain,(
    ~ r1_xreal_0(k1_nat_1(c2_8_1__calcul_2,1),c2_8_1__calcul_2) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2])],[reflexivity_r1_tarski,cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,fc1_ordinal2,fc2_finseq_1,rc2_nat_1,rc3_nat_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc13_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc17_xreal_0,fc18_xreal_0,fc19_xreal_0,fc1_int_1,fc1_xreal_0,fc20_xreal_0,fc3_int_1,fc3_nat_1,fc3_xreal_0,fc4_int_1,fc4_nat_1,fc5_int_1,fc5_xreal_0,fc6_int_1,fc7_xreal_0,fc8_int_1,fc8_xreal_0,fc9_int_1,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t1_real,t2_real,t2_subset,t3_real,t4_arithm,t4_real,t5_real,t6_boole,t6_real,t7_boole,t7_real,t8_boole,t8_real,commutativity_k1_nat_1,commutativity_k2_xcmplx_0,involutiveness_k4_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,redefinition_k1_nat_1,dt_k1_nat_1,dt_k2_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c2_8_1__calcul_2,de_c2_8_1__calcul_2,cc1_xreal_0,cc3_int_1,cc3_nat_1,fc1_nat_1,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r0_rm1,rqLessOrEqual__r1_xreal_0__r1_r0,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__rm1_r0,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealNeg__k4_xcmplx_0__r0_r0,spc0_numerals,spc1_numerals,spc0_boole,spc1_boole,t38_nat_1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqLessOrEqual__r1_xreal_0__r1_r1]),
    [interesting(0.5),file(calcul_2,e5_8_1_3__calcul_2),[file(calcul_2,e5_8_1_3__calcul_2)]]).

fof(e3_8_1_3__calcul_2,plain,
    ( r2_hidden(c1_8_1_3__calcul_2,k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2))
    & r2_hidden(c1_8_1_3__calcul_2,k1_tarski(k1_nat_1(c2_8_1__calcul_2,1))) ),
    inference(consider,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,e1_8_1_3__calcul_2])],[dh_c1_8_1_3__calcul_2,e2_8_1_3__calcul_2]),
    [interesting(0.5),file(calcul_2,e3_8_1_3__calcul_2),[file(calcul_2,e3_8_1_3__calcul_2)]]).

fof(d1_tarski,definition,(
    ! [A,B] : 
      ( B = k1_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> C = A ) ) ),
    file(tarski,d1_tarski),
    [interesting(0.9),axiom,file(tarski,d1_tarski)]).

fof(e4_8_1_3__calcul_2,plain,
    ( c1_8_1_3__calcul_2 = k1_nat_1(c2_8_1__calcul_2,1)
    & r1_xreal_0(k1_nat_1(c1_8_1__calcul_2,c1_8__calcul_2),c2_8_1__calcul_2) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,e1_8_1_3__calcul_2])],[cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,dt_k1_xboole_0,dt_k5_ordinal2,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc19_xreal_0,fc1_int_1,fc1_ordinal2,fc20_xreal_0,fc27_xreal_0,fc28_xreal_0,fc29_xreal_0,fc2_finseq_1,fc3_int_1,fc4_int_1,fc6_int_1,fc7_xreal_0,fc8_int_1,fc9_xreal_0,rc1_int_1,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t2_real,t3_real,t5_real,t6_real,t7_real,t8_real,t2_tarski,fraenkel_a_2_0_calcul_2,commutativity_k2_xcmplx_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_calcul_2,dt_k1_numbers,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc1_xreal_0,cc2_int_1,cc2_nat_1,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc3_xreal_0,cc6_xreal_0,cc7_xreal_0,fc13_xreal_0,fc17_xreal_0,fc18_xreal_0,fc1_nat_1,fc1_xreal_0,fc30_xreal_0,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc5_int_1,fc5_xreal_0,fc6_xreal_0,fc8_xreal_0,fc9_int_1,rc1_nat_1,rc1_xreal_0,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_r2_r2,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__r2_rm2_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealAdd__k2_xcmplx_0__rm1_r2_r1,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealAdd__k2_xcmplx_0__rm2_r2_r0,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t1_real,t2_subset,t3_subset,t4_arithm,t4_real,t4_subset,t5_arithm,t5_subset,t6_arithm,t6_boole,t8_boole,d1_calcul_2,commutativity_k1_nat_1,involutiveness_k4_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,antisymmetry_r2_hidden,redefinition_k1_nat_1,redefinition_k2_calcul_2,dt_k1_nat_1,dt_k1_tarski,dt_k2_calcul_2,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,dt_c1_8_1_3__calcul_2,dt_c2_8_1__calcul_2,de_c2_8_1__calcul_2,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r0_r2,rqLessOrEqual__r1_xreal_0__r0_rm1,rqLessOrEqual__r1_xreal_0__r0_rm2,rqLessOrEqual__r1_xreal_0__r0_rn1d2,rqLessOrEqual__r1_xreal_0__r0_rnm1d2,rqLessOrEqual__r1_xreal_0__r1_r0,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r1_r2,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_rm2,rqLessOrEqual__r1_xreal_0__r1_rn1d2,rqLessOrEqual__r1_xreal_0__r1_rnm1d2,rqLessOrEqual__r1_xreal_0__r2_r0,rqLessOrEqual__r1_xreal_0__r2_r1,rqLessOrEqual__r1_xreal_0__r2_r2,rqLessOrEqual__r1_xreal_0__r2_rm1,rqLessOrEqual__r1_xreal_0__r2_rm2,rqLessOrEqual__r1_xreal_0__r2_rn1d2,rqLessOrEqual__r1_xreal_0__r2_rnm1d2,rqLessOrEqual__r1_xreal_0__rm1_r0,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_r2,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqLessOrEqual__r1_xreal_0__rm1_rm2,rqLessOrEqual__r1_xreal_0__rm1_rn1d2,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2,rqLessOrEqual__r1_xreal_0__rm2_r0,rqLessOrEqual__r1_xreal_0__rm2_r1,rqLessOrEqual__r1_xreal_0__rm2_r2,rqLessOrEqual__r1_xreal_0__rm2_rm1,rqLessOrEqual__r1_xreal_0__rm2_rm2,rqLessOrEqual__r1_xreal_0__rn1d2_r0,rqLessOrEqual__r1_xreal_0__rn1d2_r1,rqLessOrEqual__r1_xreal_0__rn1d2_r2,rqLessOrEqual__r1_xreal_0__rn1d2_rm1,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_r0,rqLessOrEqual__r1_xreal_0__rnm1d2_r1,rqLessOrEqual__r1_xreal_0__rnm1d2_r2,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_r2_rm2,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiv__k7_xcmplx_0__r0_r1_r0,rqRealDiv__k7_xcmplx_0__r0_r2_r0,rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0,rqRealDiv__k7_xcmplx_0__r1_r1_r1,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r2_r1_r2,rqRealDiv__k7_xcmplx_0__r2_r2_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,t1_subset,t7_boole,spc0_numerals,spc1_numerals,spc2_numerals,spc0_boole,spc1_boole,spc2_boole,e3_8_1_3__calcul_2,d1_tarski,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__r1_rm1_r2]),
    [interesting(0.5),file(calcul_2,e4_8_1_3__calcul_2),[file(calcul_2,e4_8_1_3__calcul_2)]]).

fof(t1_calcul_2,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => ! [C] : 
              ( v4_ordinal2(C)
             => ( r2_hidden(A,k2_calcul_2(B,C))
              <=> ( r1_xreal_0(k2_xcmplx_0(1,B),A)
                  & r1_xreal_0(A,k2_xcmplx_0(C,B)) ) ) ) ) ) ),
    file(calcul_2,t1_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,t1_calcul_2)]).

fof(e6_8_1_3__calcul_2,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,e1_8_1_3__calcul_2])],[cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,dt_k1_xboole_0,dt_k5_ordinal2,fc1_ordinal2,fc2_finseq_1,rc2_nat_1,rc3_nat_1,t2_tarski,fraenkel_a_2_0_calcul_2,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_calcul_2,dt_k1_numbers,dt_k1_zfmisc_1,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc13_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc17_xreal_0,fc18_xreal_0,fc19_xreal_0,fc1_int_1,fc1_xreal_0,fc20_xreal_0,fc3_int_1,fc3_nat_1,fc3_xreal_0,fc4_int_1,fc4_nat_1,fc5_int_1,fc5_xreal_0,fc6_int_1,fc7_xreal_0,fc8_int_1,fc8_xreal_0,fc9_int_1,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t1_real,t2_real,t2_subset,t3_real,t3_subset,t4_arithm,t4_real,t4_subset,t5_real,t5_subset,t6_boole,t6_real,t7_real,t8_boole,t8_real,d1_calcul_2,commutativity_k1_nat_1,commutativity_k2_xcmplx_0,involutiveness_k4_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,antisymmetry_r2_hidden,redefinition_k1_nat_1,redefinition_k2_calcul_2,dt_k1_nat_1,dt_k1_tarski,dt_k2_calcul_2,dt_k2_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,dt_c1_8_1_3__calcul_2,dt_c2_8_1__calcul_2,de_c2_8_1__calcul_2,cc1_xreal_0,cc3_int_1,cc3_nat_1,fc1_nat_1,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r0_rm1,rqLessOrEqual__r1_xreal_0__r1_r0,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__rm1_r0,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealNeg__k4_xcmplx_0__r0_r0,t1_subset,t7_boole,spc0_numerals,spc1_numerals,spc0_boole,spc1_boole,e5_8_1_3__calcul_2,e3_8_1_3__calcul_2,e4_8_1_3__calcul_2,t1_calcul_2,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_r1_r0]),
    [interesting(0.5),file(calcul_2,e6_8_1_3__calcul_2),[file(calcul_2,e6_8_1_3__calcul_2)]]).

fof(i2_8_1_3__calcul_2,theorem,(
    $true ),
    introduced(tautology,[file(calcul_2,i2_8_1_3__calcul_2)]),
    [interesting(0.5),trivial,file(calcul_2,i2_8_1_3__calcul_2)]).

fof(i1_8_1_3__calcul_2,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,e1_8_1_3__calcul_2])],[e6_8_1_3__calcul_2,i2_8_1_3__calcul_2]),
    [interesting(0.5),file(calcul_2,i1_8_1_3__calcul_2),[file(calcul_2,i1_8_1_3__calcul_2)]]).

fof(e7_8_1__calcul_2,plain,(
    r1_xboole_0(k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2),k1_tarski(k1_nat_1(c2_8_1__calcul_2,1))) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2]),discharge_asm(discharge,[e1_8_1_3__calcul_2])],[e1_8_1_3__calcul_2,i1_8_1_3__calcul_2]),
    [interesting(0.65),file(calcul_2,e7_8_1__calcul_2),[file(calcul_2,e7_8_1__calcul_2)]]).

fof(t5_calcul_2,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => k2_xboole_0(k2_calcul_2(A,B),k1_tarski(k2_xcmplx_0(k2_xcmplx_0(A,B),1))) = k2_calcul_2(A,k2_xcmplx_0(B,1)) ) ) ),
    file(calcul_2,t5_calcul_2),
    [interesting(0.9),axiom,file(calcul_2,t5_calcul_2)]).

fof(e3_8_1__calcul_2,plain,(
    k2_calcul_2(c1_8__calcul_2,k1_nat_1(c1_8_1__calcul_2,1)) = k2_xboole_0(k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2),k1_tarski(k1_nat_1(c2_8_1__calcul_2,1))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2])],[reflexivity_r1_xreal_0,connectedness_r1_xreal_0,cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r0_r2,rqLessOrEqual__r1_xreal_0__r0_rm1,rqLessOrEqual__r1_xreal_0__r0_rm2,rqLessOrEqual__r1_xreal_0__r0_rn1d2,rqLessOrEqual__r1_xreal_0__r0_rnm1d2,rqLessOrEqual__r1_xreal_0__r1_r0,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r1_r2,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_rm2,rqLessOrEqual__r1_xreal_0__r1_rn1d2,rqLessOrEqual__r1_xreal_0__r1_rnm1d2,rqLessOrEqual__r1_xreal_0__r2_r0,rqLessOrEqual__r1_xreal_0__r2_r1,rqLessOrEqual__r1_xreal_0__r2_r2,rqLessOrEqual__r1_xreal_0__r2_rm1,rqLessOrEqual__r1_xreal_0__r2_rm2,rqLessOrEqual__r1_xreal_0__r2_rn1d2,rqLessOrEqual__r1_xreal_0__r2_rnm1d2,rqLessOrEqual__r1_xreal_0__rm1_r0,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_r2,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqLessOrEqual__r1_xreal_0__rm1_rm2,rqLessOrEqual__r1_xreal_0__rm1_rn1d2,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2,rqLessOrEqual__r1_xreal_0__rm2_r0,rqLessOrEqual__r1_xreal_0__rm2_r1,rqLessOrEqual__r1_xreal_0__rm2_r2,rqLessOrEqual__r1_xreal_0__rm2_rm1,rqLessOrEqual__r1_xreal_0__rm2_rm2,rqLessOrEqual__r1_xreal_0__rn1d2_r0,rqLessOrEqual__r1_xreal_0__rn1d2_r1,rqLessOrEqual__r1_xreal_0__rn1d2_r2,rqLessOrEqual__r1_xreal_0__rn1d2_rm1,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_r0,rqLessOrEqual__r1_xreal_0__rnm1d2_r1,rqLessOrEqual__r1_xreal_0__rnm1d2_r2,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2,t1_real,t2_real,t3_real,t4_real,t5_real,t6_real,t7_real,t8_real,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k5_ordinal2,fc1_ordinal2,fc2_finseq_1,rc2_nat_1,rc3_nat_1,t1_boole,t1_subset,t4_subset,t5_subset,t2_tarski,fraenkel_a_2_0_calcul_2,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_calcul_2,dt_k1_numbers,dt_k1_zfmisc_1,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc13_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc17_xreal_0,fc18_xreal_0,fc19_xreal_0,fc1_int_1,fc1_xreal_0,fc20_xreal_0,fc27_xreal_0,fc28_xreal_0,fc29_xreal_0,fc30_xreal_0,fc3_int_1,fc3_nat_1,fc3_xreal_0,fc4_int_1,fc4_nat_1,fc5_int_1,fc5_xreal_0,fc6_int_1,fc6_xreal_0,fc7_xreal_0,fc8_int_1,fc8_xreal_0,fc9_int_1,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_subset,t3_subset,t4_arithm,t5_arithm,t6_arithm,t6_boole,t7_boole,t8_boole,d1_calcul_2,commutativity_k1_nat_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,commutativity_k2_xcmplx_0,involutiveness_k4_xcmplx_0,redefinition_k1_nat_1,redefinition_k2_calcul_2,dt_k1_nat_1,dt_k1_tarski,dt_k2_calcul_2,dt_k2_xboole_0,dt_k2_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,dt_c2_8_1__calcul_2,de_c2_8_1__calcul_2,cc1_xreal_0,cc3_int_1,cc3_nat_1,fc1_nat_1,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_r2_r2,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__r2_rm2_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealAdd__k2_xcmplx_0__rm1_r2_r1,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealAdd__k2_xcmplx_0__rm2_r2_r0,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_r2_rm2,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiv__k7_xcmplx_0__r0_r1_r0,rqRealDiv__k7_xcmplx_0__r0_r2_r0,rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0,rqRealDiv__k7_xcmplx_0__r1_r1_r1,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r2_r1_r2,rqRealDiv__k7_xcmplx_0__r2_r2_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,spc0_numerals,spc1_numerals,spc2_numerals,spc0_boole,spc1_boole,spc2_boole,t5_calcul_2,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__r1_rm1_r2]),
    [interesting(0.65),file(calcul_2,e3_8_1__calcul_2),[file(calcul_2,e3_8_1__calcul_2)]]).

fof(dt_k1_ordinal1,axiom,(
    $true ),
    file(ordinal1,k1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,k1_ordinal1)]).

fof(t52_card_1,theorem,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => k1_ordinal1(A) = k1_nat_1(A,1) ) ),
    file(card_1,t52_card_1),
    [interesting(0.9),axiom,file(card_1,t52_card_1)]).

fof(e1_8_1_1__calcul_2,plain,(
    k1_nat_1(c1_8_1__calcul_2,1) = k1_ordinal1(c1_8_1__calcul_2) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8_1__calcul_2])],[cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc1_nat_1,fc2_finseq_1,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc6_int_1,fc7_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,spc6_arithm,t1_subset,t4_subset,t5_subset,commutativity_k2_xcmplx_0,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k5_ordinal2,dt_m1_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,fc1_ordinal2,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_nat_1,dt_k1_numbers,dt_k1_ordinal1,dt_k5_numbers,dt_m2_subset_1,dt_c1_8_1__calcul_2,spc1_numerals,spc1_boole,t52_card_1]),
    [interesting(0.5),file(calcul_2,e1_8_1_1__calcul_2),[file(calcul_2,e1_8_1_1__calcul_2)]]).

fof(d1_ordinal1,definition,(
    ! [A] : k1_ordinal1(A) = k2_xboole_0(A,k1_tarski(A)) ),
    file(ordinal1,d1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,d1_ordinal1)]).

fof(e2_8_1_1__calcul_2,plain,(
    k1_ordinal1(c1_8_1__calcul_2) = k2_xboole_0(c1_8_1__calcul_2,k1_tarski(c1_8_1__calcul_2)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8_1__calcul_2])],[cc1_finseq_1,cc2_funct_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc2_finseq_1,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc3_nat_1,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,fc1_ordinal2,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m2_subset_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,dt_k1_ordinal1,dt_k1_tarski,dt_k2_xboole_0,dt_c1_8_1__calcul_2,d1_ordinal1]),
    [interesting(0.5),file(calcul_2,e2_8_1_1__calcul_2),[file(calcul_2,e2_8_1_1__calcul_2)]]).

fof(e4_8_1__calcul_2,plain,(
    k1_nat_1(c1_8_1__calcul_2,1) = k2_xboole_0(c1_8_1__calcul_2,k1_tarski(c1_8_1__calcul_2)) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_8_1__calcul_2])],[e1_8_1_1__calcul_2,e2_8_1_1__calcul_2]),
    [interesting(0.65),file(calcul_2,e4_8_1__calcul_2),[file(calcul_2,e4_8_1__calcul_2)]]).

fof(t48_card_1,theorem,(
    ! [A,B] : 
      ( r2_wellord2(A,k1_tarski(B))
    <=> ? [C] : A = k1_tarski(C) ) ),
    file(card_1,t48_card_1),
    [interesting(0.9),axiom,file(card_1,t48_card_1)]).

fof(e5_8_1__calcul_2,plain,(
    r2_wellord2(k1_tarski(k1_nat_1(c2_8_1__calcul_2,1)),k1_tarski(c1_8_1__calcul_2)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2])],[reflexivity_r1_tarski,cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc13_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc17_xreal_0,fc18_xreal_0,fc19_xreal_0,fc1_int_1,fc1_nat_1,fc1_ordinal2,fc1_xreal_0,fc20_xreal_0,fc27_xreal_0,fc28_xreal_0,fc29_xreal_0,fc2_finseq_1,fc30_xreal_0,fc3_int_1,fc3_nat_1,fc3_xreal_0,fc4_int_1,fc4_nat_1,fc5_xreal_0,fc6_int_1,fc6_xreal_0,fc7_xreal_0,fc8_int_1,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t1_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_xcmplx_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k2_xcmplx_0,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,dt_c1_8__calcul_2,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,fc5_int_1,fc9_int_1,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_r2_r2,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__r2_rm2_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealAdd__k2_xcmplx_0__rm1_r2_r1,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealAdd__k2_xcmplx_0__rm2_r2_r0,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_subset,t4_arithm,t5_arithm,t6_arithm,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,involutiveness_k4_xcmplx_0,symmetry_r2_wellord2,reflexivity_r2_wellord2,redefinition_k1_nat_1,redefinition_r2_wellord2,dt_k1_nat_1,dt_k1_tarski,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c1_8_1__calcul_2,dt_c2_8_1__calcul_2,de_c2_8_1__calcul_2,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_r2_rm2,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiv__k7_xcmplx_0__r0_r1_r0,rqRealDiv__k7_xcmplx_0__r0_r2_r0,rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0,rqRealDiv__k7_xcmplx_0__r1_r1_r1,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r2_r1_r2,rqRealDiv__k7_xcmplx_0__r2_r2_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,spc0_numerals,spc1_numerals,spc2_numerals,spc0_boole,spc1_boole,spc2_boole,t48_card_1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2]),
    [interesting(0.65),file(calcul_2,e5_8_1__calcul_2),[file(calcul_2,e5_8_1__calcul_2)]]).

fof(e1_8_1_2__calcul_2,assumption,(
    ~ r1_xboole_0(c1_8_1__calcul_2,k1_tarski(c1_8_1__calcul_2)) ),
    introduced(assumption,[file(calcul_2,e1_8_1_2__calcul_2)]),
    [interesting(0.5),axiom,file(calcul_2,e1_8_1_2__calcul_2)]).

fof(dh_c1_8_1_2__calcul_2,definition,
    ( ? [A] : 
        ( r2_hidden(A,c1_8_1__calcul_2)
        & r2_hidden(A,k1_tarski(c1_8_1__calcul_2)) )
   => ( r2_hidden(c1_8_1_2__calcul_2,c1_8_1__calcul_2)
      & r2_hidden(c1_8_1_2__calcul_2,k1_tarski(c1_8_1__calcul_2)) ) ),
    introduced(definition,[new_symbol(c1_8_1_2__calcul_2),file(calcul_2,c1_8_1_2__calcul_2)]),
    [interesting(0.5),axiom,file(calcul_2,c1_8_1_2__calcul_2)]).

fof(e2_8_1_2__calcul_2,plain,(
    ? [A] : 
      ( r2_hidden(A,c1_8_1__calcul_2)
      & r2_hidden(A,k1_tarski(c1_8_1__calcul_2)) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8_1__calcul_2,e1_8_1_2__calcul_2])],[reflexivity_r1_tarski,cc1_finseq_1,cc2_funct_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc1_ordinal2,fc2_finseq_1,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc3_nat_1,t3_subset,t4_subset,t5_subset,t8_boole,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,t2_subset,t6_boole,symmetry_r1_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_c1_8_1__calcul_2,t1_subset,t7_boole,e1_8_1_2__calcul_2,t3_xboole_0]),
    [interesting(0.5),file(calcul_2,e2_8_1_2__calcul_2),[file(calcul_2,e2_8_1_2__calcul_2)]]).

fof(dt_c1_8_1_2__calcul_2,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_8_1__calcul_2,e1_8_1_2__calcul_2])],[dh_c1_8_1_2__calcul_2,e2_8_1_2__calcul_2]),
    [interesting(0.5),file(calcul_2,c1_8_1_2__calcul_2),[file(calcul_2,c1_8_1_2__calcul_2)]]).

fof(e3_8_1_2__calcul_2,plain,
    ( r2_hidden(c1_8_1_2__calcul_2,c1_8_1__calcul_2)
    & r2_hidden(c1_8_1_2__calcul_2,k1_tarski(c1_8_1__calcul_2)) ),
    inference(consider,[status(thm),assumptions([dt_c1_8_1__calcul_2,e1_8_1_2__calcul_2])],[dh_c1_8_1_2__calcul_2,e2_8_1_2__calcul_2]),
    [interesting(0.5),file(calcul_2,e3_8_1_2__calcul_2),[file(calcul_2,e3_8_1_2__calcul_2)]]).

fof(e4_8_1_2__calcul_2,plain,(
    c1_8_1_2__calcul_2 = c1_8_1__calcul_2 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8_1__calcul_2,e1_8_1_2__calcul_2])],[reflexivity_r1_tarski,cc1_finseq_1,cc2_funct_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc1_ordinal2,fc2_finseq_1,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc3_nat_1,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_tarski,dt_c1_8_1__calcul_2,dt_c1_8_1_2__calcul_2,t1_subset,t7_boole,e3_8_1_2__calcul_2,d1_tarski]),
    [interesting(0.5),file(calcul_2,e4_8_1_2__calcul_2),[file(calcul_2,e4_8_1_2__calcul_2)]]).

fof(e5_8_1_2__calcul_2,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8_1__calcul_2,e1_8_1_2__calcul_2])],[reflexivity_r1_tarski,cc1_finseq_1,cc2_funct_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,cc1_xreal_0,cc2_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc1_ordinal2,fc2_finseq_1,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc3_nat_1,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc2_int_1,cc2_nat_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_tarski,dt_c1_8_1__calcul_2,dt_c1_8_1_2__calcul_2,t1_subset,t7_boole,e4_8_1_2__calcul_2,e3_8_1_2__calcul_2]),
    [interesting(0.5),file(calcul_2,e5_8_1_2__calcul_2),[file(calcul_2,e5_8_1_2__calcul_2)]]).

fof(i2_8_1_2__calcul_2,theorem,(
    $true ),
    introduced(tautology,[file(calcul_2,i2_8_1_2__calcul_2)]),
    [interesting(0.5),trivial,file(calcul_2,i2_8_1_2__calcul_2)]).

fof(i1_8_1_2__calcul_2,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([dt_c1_8_1__calcul_2,e1_8_1_2__calcul_2])],[e5_8_1_2__calcul_2,i2_8_1_2__calcul_2]),
    [interesting(0.5),file(calcul_2,i1_8_1_2__calcul_2),[file(calcul_2,i1_8_1_2__calcul_2)]]).

fof(e6_8_1__calcul_2,plain,(
    r1_xboole_0(c1_8_1__calcul_2,k1_tarski(c1_8_1__calcul_2)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8_1__calcul_2]),discharge_asm(discharge,[e1_8_1_2__calcul_2])],[e1_8_1_2__calcul_2,i1_8_1_2__calcul_2]),
    [interesting(0.65),file(calcul_2,e6_8_1__calcul_2),[file(calcul_2,e6_8_1__calcul_2)]]).

fof(t58_card_1,theorem,(
    ! [A,B,C,D] : 
      ( ( r1_xboole_0(A,B)
        & r1_xboole_0(C,D)
        & r2_wellord2(A,C)
        & r2_wellord2(B,D) )
     => r2_wellord2(k2_xboole_0(A,B),k2_xboole_0(C,D)) ) ),
    file(card_1,t58_card_1),
    [interesting(0.9),axiom,file(card_1,t58_card_1)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3)]).

fof(e8_8_1__calcul_2,plain,(
    r2_wellord2(k2_calcul_2(c1_8__calcul_2,k1_nat_1(c1_8_1__calcul_2,1)),k1_nat_1(c1_8_1__calcul_2,1)) ),
    inference(mizar_by,[status(thm),assumptions([e1_8_1__calcul_2,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2])],[reflexivity_r1_xreal_0,connectedness_r1_xreal_0,cc1_finseq_1,cc2_funct_1,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r0_r2,rqLessOrEqual__r1_xreal_0__r0_r3,rqLessOrEqual__r1_xreal_0__r0_rm1,rqLessOrEqual__r1_xreal_0__r0_rm2,rqLessOrEqual__r1_xreal_0__r0_rm3,rqLessOrEqual__r1_xreal_0__r0_rn1d2,rqLessOrEqual__r1_xreal_0__r0_rn1d3,rqLessOrEqual__r1_xreal_0__r0_rn2d3,rqLessOrEqual__r1_xreal_0__r0_rn3d2,rqLessOrEqual__r1_xreal_0__r0_rnm1d2,rqLessOrEqual__r1_xreal_0__r0_rnm1d3,rqLessOrEqual__r1_xreal_0__r1_r0,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r1_r2,rqLessOrEqual__r1_xreal_0__r1_r3,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_rm2,rqLessOrEqual__r1_xreal_0__r1_rm3,rqLessOrEqual__r1_xreal_0__r1_rn1d2,rqLessOrEqual__r1_xreal_0__r1_rn1d3,rqLessOrEqual__r1_xreal_0__r1_rn2d3,rqLessOrEqual__r1_xreal_0__r1_rn3d2,rqLessOrEqual__r1_xreal_0__r1_rnm1d2,rqLessOrEqual__r1_xreal_0__r1_rnm1d3,rqLessOrEqual__r1_xreal_0__r1_rnm3d2,rqLessOrEqual__r1_xreal_0__r2_r0,rqLessOrEqual__r1_xreal_0__r2_r1,rqLessOrEqual__r1_xreal_0__r2_r2,rqLessOrEqual__r1_xreal_0__r2_r3,rqLessOrEqual__r1_xreal_0__r2_rm1,rqLessOrEqual__r1_xreal_0__r2_rm2,rqLessOrEqual__r1_xreal_0__r2_rm3,rqLessOrEqual__r1_xreal_0__r2_rn1d2,rqLessOrEqual__r1_xreal_0__r2_rn1d3,rqLessOrEqual__r1_xreal_0__r2_rn2d3,rqLessOrEqual__r1_xreal_0__r2_rn3d2,rqLessOrEqual__r1_xreal_0__r2_rnm1d2,rqLessOrEqual__r1_xreal_0__r2_rnm1d3,rqLessOrEqual__r1_xreal_0__r2_rnm3d2,rqLessOrEqual__r1_xreal_0__r3_r0,rqLessOrEqual__r1_xreal_0__r3_r1,rqLessOrEqual__r1_xreal_0__r3_r2,rqLessOrEqual__r1_xreal_0__r3_r3,rqLessOrEqual__r1_xreal_0__r3_rm1,rqLessOrEqual__r1_xreal_0__r3_rm2,rqLessOrEqual__r1_xreal_0__r3_rm3,rqLessOrEqual__r1_xreal_0__r3_rn1d2,rqLessOrEqual__r1_xreal_0__r3_rn1d3,rqLessOrEqual__r1_xreal_0__r3_rn2d3,rqLessOrEqual__r1_xreal_0__r3_rn3d2,rqLessOrEqual__r1_xreal_0__r3_rnm1d2,rqLessOrEqual__r1_xreal_0__r3_rnm1d3,rqLessOrEqual__r1_xreal_0__rm1_r0,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_r2,rqLessOrEqual__r1_xreal_0__rm1_r3,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqLessOrEqual__r1_xreal_0__rm1_rm2,rqLessOrEqual__r1_xreal_0__rm1_rm3,rqLessOrEqual__r1_xreal_0__rm1_rn1d2,rqLessOrEqual__r1_xreal_0__rm1_rn1d3,rqLessOrEqual__r1_xreal_0__rm1_rn2d3,rqLessOrEqual__r1_xreal_0__rm1_rn3d2,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2,rqLessOrEqual__r1_xreal_0__rm1_rnm1d3,rqLessOrEqual__r1_xreal_0__rm1_rnm3d2,rqLessOrEqual__r1_xreal_0__rm2_r0,rqLessOrEqual__r1_xreal_0__rm2_r1,rqLessOrEqual__r1_xreal_0__rm2_r2,rqLessOrEqual__r1_xreal_0__rm2_r3,rqLessOrEqual__r1_xreal_0__rm2_rm1,rqLessOrEqual__r1_xreal_0__rm2_rm2,rqLessOrEqual__r1_xreal_0__rm3_r0,rqLessOrEqual__r1_xreal_0__rm3_r1,rqLessOrEqual__r1_xreal_0__rm3_r2,rqLessOrEqual__r1_xreal_0__rm3_r3,rqLessOrEqual__r1_xreal_0__rm3_rm1,rqLessOrEqual__r1_xreal_0__rm3_rm3,rqLessOrEqual__r1_xreal_0__rm3_rn1d2,rqLessOrEqual__r1_xreal_0__rn1d2_r0,rqLessOrEqual__r1_xreal_0__rn1d2_r1,rqLessOrEqual__r1_xreal_0__rn1d2_r2,rqLessOrEqual__r1_xreal_0__rn1d2_r3,rqLessOrEqual__r1_xreal_0__rn1d2_rm1,rqLessOrEqual__r1_xreal_0__rn1d2_rm3,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rn1d3_r0,rqLessOrEqual__r1_xreal_0__rn1d3_r1,rqLessOrEqual__r1_xreal_0__rn1d3_r2,rqLessOrEqual__r1_xreal_0__rn1d3_r3,rqLessOrEqual__r1_xreal_0__rn1d3_rm1,rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3,rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3,rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3,rqLessOrEqual__r1_xreal_0__rn2d3_r0,rqLessOrEqual__r1_xreal_0__rn2d3_r1,rqLessOrEqual__r1_xreal_0__rn2d3_r2,rqLessOrEqual__r1_xreal_0__rn2d3_r3,rqLessOrEqual__r1_xreal_0__rn2d3_rm1,rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3,rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3,rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3,rqLessOrEqual__r1_xreal_0__rn3d2_r0,rqLessOrEqual__r1_xreal_0__rn3d2_r1,rqLessOrEqual__r1_xreal_0__rn3d2_r2,rqLessOrEqual__r1_xreal_0__rn3d2_r3,rqLessOrEqual__r1_xreal_0__rn3d2_rm1,rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2,rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2,rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_r0,rqLessOrEqual__r1_xreal_0__rnm1d2_r1,rqLessOrEqual__r1_xreal_0__rnm1d2_r2,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rnm1d3_r0,rqLessOrEqual__r1_xreal_0__rnm1d3_r1,rqLessOrEqual__r1_xreal_0__rnm1d3_r2,rqLessOrEqual__r1_xreal_0__rnm1d3_r3,rqLessOrEqual__r1_xreal_0__rnm1d3_rm1,rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3,rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3,rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3,t1_real,t2_real,t3_real,t4_real,t5_real,t6_real,t7_real,t8_real,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k5_ordinal2,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc13_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc17_xreal_0,fc18_xreal_0,fc19_xreal_0,fc1_int_1,fc1_ordinal2,fc1_xreal_0,fc20_xreal_0,fc27_xreal_0,fc28_xreal_0,fc29_xreal_0,fc2_finseq_1,fc30_xreal_0,fc3_int_1,fc3_xreal_0,fc4_int_1,fc5_xreal_0,fc6_int_1,fc6_xreal_0,fc7_xreal_0,fc8_int_1,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t1_boole,t1_subset,t4_subset,t5_subset,t2_tarski,fraenkel_a_2_0_calcul_2,commutativity_k2_xcmplx_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_calcul_2,dt_k1_numbers,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_funct_1,cc1_nat_1,cc1_xreal_0,cc2_int_1,cc2_nat_1,cc3_int_1,cc3_nat_1,fc1_nat_1,fc3_nat_1,fc4_nat_1,fc5_int_1,fc9_int_1,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_r2_r2,rqRealAdd__k2_xcmplx_0__r0_r3_r3,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,rqRealAdd__k2_xcmplx_0__r0_rm3_rm3,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3,rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_r2_r3,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2,rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3,rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3,rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_r1_r3,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__r2_rm2_r0,rqRealAdd__k2_xcmplx_0__r2_rm3_rm1,rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2,rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2,rqRealAdd__k2_xcmplx_0__r3_r0_r3,rqRealAdd__k2_xcmplx_0__r3_rm1_r2,rqRealAdd__k2_xcmplx_0__r3_rm2_r1,rqRealAdd__k2_xcmplx_0__r3_rm3_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealAdd__k2_xcmplx_0__rm1_r2_r1,rqRealAdd__k2_xcmplx_0__rm1_r3_r2,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3,rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2,rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealAdd__k2_xcmplx_0__rm2_r2_r0,rqRealAdd__k2_xcmplx_0__rm2_r3_r1,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm3_r1_rm2,rqRealAdd__k2_xcmplx_0__rm3_r2_rm1,rqRealAdd__k2_xcmplx_0__rm3_r3_r0,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1,rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3,rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1,rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0,rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3,rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3,rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1,rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3,rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0,rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2,rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2,rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2,rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2,rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3,rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1,rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2,rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3,rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0,rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1,rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0,rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1,rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2,rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_subset,t3_subset,t4_arithm,t5_arithm,t6_arithm,t6_boole,t7_boole,t8_boole,d1_calcul_2,commutativity_k1_nat_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,involutiveness_k4_xcmplx_0,symmetry_r1_xboole_0,symmetry_r2_wellord2,reflexivity_r2_wellord2,redefinition_k1_nat_1,redefinition_k2_calcul_2,redefinition_r2_wellord2,dt_k1_nat_1,dt_k1_tarski,dt_k2_calcul_2,dt_k2_xboole_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2,dt_c2_8_1__calcul_2,de_c2_8_1__calcul_2,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_r2_rm2,rqRealDiff__k6_xcmplx_0__r0_r3_rm3,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r0_rm3_r3,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_rm2_r3,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2,rqRealDiff__k6_xcmplx_0__r3_r0_r3,rqRealDiff__k6_xcmplx_0__r3_r1_r2,rqRealDiff__k6_xcmplx_0__r3_r2_r1,rqRealDiff__k6_xcmplx_0__r3_r3_r0,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2,rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2,rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3,rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1,rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2,rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2,rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2,rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3,rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3,rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0,rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2,rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2,rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2,rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0,rqRealDiv__k7_xcmplx_0__r0_r1_r0,rqRealDiv__k7_xcmplx_0__r0_r2_r0,rqRealDiv__k7_xcmplx_0__r0_r3_r0,rqRealDiv__k7_xcmplx_0__r0_rn1d2_r0,rqRealDiv__k7_xcmplx_0__r1_r1_r1,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3,rqRealDiv__k7_xcmplx_0__r2_r1_r2,rqRealDiv__k7_xcmplx_0__r2_r2_r1,rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2,rqRealDiv__k7_xcmplx_0__r3_r3_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rm3_r3,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,e7_8_1__calcul_2,e1_8_1__calcul_2,e3_8_1__calcul_2,e4_8_1__calcul_2,e5_8_1__calcul_2,e6_8_1__calcul_2,t58_card_1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__r2_r1_r1]),
    [interesting(0.65),file(calcul_2,e8_8_1__calcul_2),[file(calcul_2,e8_8_1__calcul_2)]]).

fof(i3_8_1__calcul_2,theorem,(
    $true ),
    introduced(tautology,[file(calcul_2,i3_8_1__calcul_2)]),
    [interesting(0.65),trivial,file(calcul_2,i3_8_1__calcul_2)]).

fof(i2_8_1__calcul_2,plain,(
    r2_wellord2(k2_calcul_2(c1_8__calcul_2,k1_nat_1(c1_8_1__calcul_2,1)),k1_nat_1(c1_8_1__calcul_2,1)) ),
    inference(conclusion,[status(thm),assumptions([e1_8_1__calcul_2,dt_c1_8__calcul_2,dt_c1_8_1__calcul_2])],[e8_8_1__calcul_2,i3_8_1__calcul_2]),
    [interesting(0.65),file(calcul_2,i2_8_1__calcul_2),[file(calcul_2,i2_8_1__calcul_2)]]).

fof(i1_8_1__calcul_2,plain,
    ( r2_wellord2(k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2),c1_8_1__calcul_2)
   => r2_wellord2(k2_calcul_2(c1_8__calcul_2,k1_nat_1(c1_8_1__calcul_2,1)),k1_nat_1(c1_8_1__calcul_2,1)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__calcul_2,dt_c1_8_1__calcul_2]),discharge_asm(discharge,[e1_8_1__calcul_2])],[e1_8_1__calcul_2,i2_8_1__calcul_2]),
    [interesting(0.65),file(calcul_2,i1_8_1__calcul_2),[file(calcul_2,i1_8_1__calcul_2)]]).

fof(i1_8_1_tmp__calcul_2,plain,
    ( m2_subset_1(c1_8_1__calcul_2,k1_numbers,k5_numbers)
   => ( r2_wellord2(k2_calcul_2(c1_8__calcul_2,c1_8_1__calcul_2),c1_8_1__calcul_2)
     => r2_wellord2(k2_calcul_2(c1_8__calcul_2,k1_nat_1(c1_8_1__calcul_2,1)),k1_nat_1(c1_8_1__calcul_2,1)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__calcul_2]),discharge_asm(discharge,[dt_c1_8_1__calcul_2])],[dt_c1_8_1__calcul_2,i1_8_1__calcul_2]),
    [interesting(0.8),e2_8__calcul_2]).

fof(e2_8__calcul_2,plain,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ( r2_wellord2(k2_calcul_2(c1_8__calcul_2,A),A)
       => r2_wellord2(k2_calcul_2(c1_8__calcul_2,k1_nat_1(A,1)),k1_nat_1(A,1)) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_8__calcul_2])],[i1_8_1_tmp__calcul_2,dh_c1_8_1__calcul_2]),
    [interesting(0.8),file(calcul_2,e2_8__calcul_2),[file(calcul_2,e2_8__calcul_2)]]).

fof(e3_8__calcul_2,plain,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => r2_wellord2(k2_calcul_2(c1_8__calcul_2,A),A) ) ),
    inference(mizar_from,[status(thm),assumptions([dt_c1_8__calcul_2])],[cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc3_xreal_0,fc6_int_1,fc7_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,commutativity_k2_xcmplx_0,dt_k1_calcul_2,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k5_ordinal2,dt_m1_subset_1,cc1_funct_1,cc1_nat_1,cc1_xreal_0,cc2_int_1,cc2_nat_1,cc3_int_1,cc3_nat_1,fc1_nat_1,fc1_ordinal2,fc3_nat_1,fc4_nat_1,commutativity_k1_nat_1,symmetry_r2_wellord2,reflexivity_r2_wellord2,redefinition_k1_nat_1,redefinition_k2_calcul_2,redefinition_k5_numbers,redefinition_m2_subset_1,redefinition_r2_wellord2,dt_k1_nat_1,dt_k1_numbers,dt_k2_calcul_2,dt_k5_numbers,dt_m2_subset_1,dt_c1_8__calcul_2,spc0_numerals,spc1_numerals,spc0_boole,spc1_boole,s1_nat_1__e3_8__calcul_2,e1_8__calcul_2,e2_8__calcul_2]),
    [interesting(0.8),file(calcul_2,e3_8__calcul_2),[file(calcul_2,e3_8__calcul_2)]]).

fof(e4_8__calcul_2,plain,(
    r2_wellord2(k2_calcul_2(c1_8__calcul_2,c2_8__calcul_2),c2_8__calcul_2) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_8__calcul_2,dt_c1_8__calcul_2])],[commutativity_k2_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,dt_k2_xcmplx_0,cc1_finseq_1,cc2_funct_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc1_nat_1,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc6_int_1,fc7_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_finseq_1,rc1_funct_1,rc2_funct_1,rc2_xreal_0,rc3_finseq_1,rc3_funct_1,rc3_xreal_0,rc4_funct_1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,rqLessOrEqual__r1_xreal_0__r1_r1,spc1_boole,spc1_numerals,spc6_arithm,t1_real,t2_real,t3_real,t4_real,t5_real,t6_real,t7_real,t8_real,spc1_numerals,spc1_boole,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc2_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc2_finseq_1,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_nat_1,rc3_nat_1,t1_subset,t4_subset,t5_subset,t2_tarski,fraenkel_a_2_0_calcul_2,existence_m1_subset_1,dt_k1_calcul_2,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_subset_1,cc1_funct_1,cc1_nat_1,cc1_xreal_0,cc2_int_1,cc2_nat_1,cc3_int_1,cc3_nat_1,fc1_ordinal2,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,d1_calcul_2,symmetry_r2_wellord2,reflexivity_r2_wellord2,existence_m2_subset_1,redefinition_k2_calcul_2,redefinition_k5_numbers,redefinition_m2_subset_1,redefinition_r2_wellord2,dt_k1_numbers,dt_k2_calcul_2,dt_k5_numbers,dt_m2_subset_1,dt_c1_8__calcul_2,dt_c2_8__calcul_2,e3_8__calcul_2]),
    [interesting(0.8),file(calcul_2,e4_8__calcul_2),[file(calcul_2,e4_8__calcul_2)]]).

fof(i3_8__calcul_2,theorem,(
    $true ),
    introduced(tautology,[file(calcul_2,i3_8__calcul_2)]),
    [interesting(0.8),trivial,file(calcul_2,i3_8__calcul_2)]).

fof(i2_8__calcul_2,plain,(
    r2_wellord2(k2_calcul_2(c1_8__calcul_2,c2_8__calcul_2),c2_8__calcul_2) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_8__calcul_2,dt_c1_8__calcul_2])],[e4_8__calcul_2,i3_8__calcul_2]),
    [interesting(0.8),file(calcul_2,i2_8__calcul_2),[file(calcul_2,i2_8__calcul_2)]]).

fof(i2_8_tmp__calcul_2,plain,
    ( m2_subset_1(c2_8__calcul_2,k1_numbers,k5_numbers)
   => r2_wellord2(k2_calcul_2(c1_8__calcul_2,c2_8__calcul_2),c2_8__calcul_2) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__calcul_2]),discharge_asm(discharge,[dt_c2_8__calcul_2])],[dt_c2_8__calcul_2,i2_8__calcul_2]),
    [interesting(0.8),i1_8__calcul_2]).

fof(i1_8__calcul_2,plain,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => r2_wellord2(k2_calcul_2(c1_8__calcul_2,A),A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_8__calcul_2])],[i2_8_tmp__calcul_2,dh_c2_8__calcul_2]),
    [interesting(0.8),file(calcul_2,i1_8__calcul_2),[file(calcul_2,i1_8__calcul_2)]]).

fof(i1_8_tmp__calcul_2,plain,
    ( m2_subset_1(c1_8__calcul_2,k1_numbers,k5_numbers)
   => ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => r2_wellord2(k2_calcul_2(c1_8__calcul_2,A),A) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_8__calcul_2])],[dt_c1_8__calcul_2,i1_8__calcul_2]),
    [interesting(1),t6_calcul_2]).

fof(t6_calcul_2,theorem,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => r2_wellord2(k2_calcul_2(A,B),B) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_8_tmp__calcul_2,dh_c1_8__calcul_2]),
    [interesting(1),file(calcul_2,t6_calcul_2),[file(calcul_2,t6_calcul_2)]]).