fof(t68_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[t20_ami_5,t58_ami_7,t38_ami_7,t70_enumset1,t23_zfmisc_1]),
    [file(ami_7,t68_ami_7),interesting(1.00)]).

fof(t58_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,t7_ami_7,t12_ami_3,t34_funct_7,t34_funct_7,t12_ami_3,t34_funct_7,t12_ami_3,t34_funct_7,t34_funct_7,t12_ami_3,t34_funct_7,t12_ami_3,t33_funct_7,t33_funct_7,t12_ami_3,t34_funct_7,t12_ami_3,t34_funct_7,t8_ami_7,t26_ami_5,d1_enumset1,d10_xboole_0,d3_tarski,t11_ami_7,t48_ami_7,d1_enumset1,t27_ami_7,l40_ami_7,l40_ami_7,t36_ami_3,t36_ami_3,t34_funct_7,l39_ami_7,t33_funct_7,t12_ami_3,t33_funct_7,t75_int_1,t34_funct_7,t12_ami_3,t33_funct_7,t2_pre_ff,d5_ami_7,d1_enumset1,d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,t7_ami_7,t15_ami_5,t34_funct_7,t34_funct_7,t15_ami_5,t34_funct_7,t15_ami_5,t33_funct_7,t33_funct_7,t15_ami_5,t34_funct_7,t15_ami_5,t34_funct_7,t8_ami_7,t26_ami_5,d1_enumset1,d10_xboole_0,d3_tarski,t11_ami_7,t48_ami_7,t70_enumset1,d2_tarski,t27_ami_7,d1_enumset1]),
    [file(ami_7,t58_ami_7),interesting(0.99)]).

fof(t69_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t58_ami_7,t39_ami_7]),
    [file(ami_7,t69_ami_7),interesting(0.95)]).

fof(t35_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,A)) = k1_struct_0(k1_ami_3,A) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,t23_ami_7,t22_ami_7,d1_tarski,t10_ami_3,l40_ami_7,t10_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6,d10_xboole_0,d3_tarski,d1_tarski,t20_ami_5,t6_ami_7,t10_ami_3,t10_ami_3,t10_ami_3,t34_funct_7,t10_ami_3,t22_ami_5,t4_ami_7,t26_ami_5,d4_ami_7]),
    [file(ami_7,t35_ami_7),interesting(0.86)]).

fof(t38_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,A)) = k1_struct_0(k1_ami_3,A) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,t23_ami_7,t22_ami_7,l40_ami_7,d1_tarski,t15_ami_5,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6,d10_xboole_0,d3_tarski,d1_tarski,t20_ami_5,t6_ami_7,t15_ami_5,t77_int_1,t77_int_1,t15_ami_5,t15_ami_5,t34_funct_7,t15_ami_5,t22_ami_5,t4_ami_7,t26_ami_5,d4_ami_7]),
    [file(ami_7,t38_ami_7),interesting(0.86)]).

fof(t32_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,A)) = k1_xboole_0 ) ),
    inference(mizar_proof,[status(thm)],[t10_subset_1,t23_ami_7,t22_ami_7,l40_ami_7,t8_ami_3,t8_ami_3,l39_ami_7,t33_funct_7,d4_ami_7,t8_ami_3,t8_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6]),
    [file(ami_7,t32_ami_7),interesting(0.83)]).

fof(t48_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t12_ami_3,d1_enumset1,d13_ami_1,d1_enumset1,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d1_enumset1,t3_yellow14,t15_bvfunc14,t12_ami_3,d1_nat_1,t101_newton,t12_ami_3,d2_nat_1,t101_newton,d3_ami_7,t25_ami_7,t10_ami_7,t38_ami_7,t25_ami_7,d1_tarski]),
    [file(ami_7,t48_ami_7),interesting(0.83)]).

fof(t34_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)) = k1_xboole_0 ) ) ),
    inference(mizar_proof,[status(thm)],[t10_subset_1,t23_ami_7,t22_ami_7,l40_ami_7,t9_ami_3,t9_ami_3,l39_ami_7,t33_funct_7,l39_ami_7,t33_funct_7,d4_ami_7,t34_funct_7,t2_xcmplx_1,d4_ami_7,t9_ami_3,t9_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6]),
    [file(ami_7,t34_ami_7),interesting(0.81)]).

fof(t65_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[t20_ami_5,t56_ami_7,t35_ami_7,t70_enumset1,t23_zfmisc_1]),
    [file(ami_7,t65_ami_7),interesting(0.81)]).

fof(t37_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)) = k1_xboole_0 ) ) ),
    inference(mizar_proof,[status(thm)],[t10_subset_1,t23_ami_7,t22_ami_7,t11_ami_3,l40_ami_7,t11_ami_3,l39_ami_7,t33_funct_7,l39_ami_7,t33_funct_7,d4_int_1,t47_int_1,d4_ami_7,l40_ami_7,t36_ami_3,t11_ami_3,t33_funct_7,t11_ami_3,t34_funct_7,l39_ami_7,t33_funct_7,d4_ami_7,t11_ami_3,l40_ami_7,t11_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6]),
    [file(ami_7,t37_ami_7),interesting(0.81)]).

fof(t57_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,t7_ami_7,t11_ami_3,t34_funct_7,t34_funct_7,t11_ami_3,t34_funct_7,t11_ami_3,t33_funct_7,t33_funct_7,t11_ami_3,t34_funct_7,t11_ami_3,t34_funct_7,t8_ami_7,t26_ami_5,d1_enumset1,d10_xboole_0,d3_tarski,t11_ami_7,t47_ami_7,d2_tarski,t27_ami_7,l40_ami_7,l40_ami_7,t36_ami_3,t36_ami_3,t34_funct_7,l39_ami_7,t33_funct_7,t11_ami_3,t33_funct_7,t34_funct_7,t11_ami_3,t33_funct_7,d5_ami_7,d1_enumset1]),
    [file(ami_7,t57_ami_7),interesting(0.80)]).

fof(t67_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[t57_ami_7,t37_ami_7]),
    [file(ami_7,t67_ami_7),interesting(0.80)]).

fof(t55_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,t7_ami_7,t9_ami_3,t34_funct_7,t34_funct_7,t9_ami_3,t34_funct_7,t9_ami_3,t33_funct_7,t33_funct_7,t9_ami_3,t34_funct_7,t9_ami_3,t34_funct_7,t8_ami_7,t26_ami_5,d1_enumset1,d10_xboole_0,d3_tarski,t11_ami_7,t45_ami_7,d2_tarski,l40_ami_7,l40_ami_7,t36_ami_3,t36_ami_3,t9_ami_3,t33_funct_7,t34_funct_7,t34_funct_7,t9_ami_3,t33_funct_7,d5_ami_7,t27_ami_7,d1_enumset1]),
    [file(ami_7,t55_ami_7),interesting(0.79)]).

fof(t64_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[t55_ami_7,t34_ami_7]),
    [file(ami_7,t64_ami_7),interesting(0.79)]).

fof(t56_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,t7_ami_7,t10_ami_3,t34_funct_7,t34_funct_7,t10_ami_3,t34_funct_7,t10_ami_3,t33_funct_7,t33_funct_7,t10_ami_3,t34_funct_7,t10_ami_3,t34_funct_7,t8_ami_7,t26_ami_5,d1_enumset1,d10_xboole_0,d3_tarski,t11_ami_7,t46_ami_7,d2_tarski,l40_ami_7,l40_ami_7,t36_ami_3,t36_ami_3,t10_ami_3,t33_funct_7,t34_funct_7,t34_funct_7,t10_ami_3,t33_funct_7,d5_ami_7,t27_ami_7,d1_enumset1]),
    [file(ami_7,t56_ami_7),interesting(0.79)]).

fof(t39_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)) = k1_xboole_0 ) ) ) ),
    inference(mizar_proof,[status(thm)],[t10_subset_1,t23_ami_7,t22_ami_7,t15_bvfunc14,t3_yellow14,t36_ami_3,l40_ami_7,t33_funct_7,t34_funct_7,t12_ami_3,t101_newton,d1_nat_1,t12_ami_3,t101_newton,d1_nat_1,d4_ami_7,t34_funct_7,t33_funct_7,t12_ami_3,t101_newton,d2_nat_1,t12_ami_3,t101_newton,d2_nat_1,d4_ami_7,t12_ami_3,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6]),
    [file(ami_7,t39_ami_7),interesting(0.78)]).

fof(t53_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,d1_tarski,t7_ami_7,t8_ami_3,t33_funct_7,t33_funct_7,t8_ami_3,t34_funct_7,t8_ami_3,t34_funct_7,t8_ami_3,t33_funct_7,t33_funct_7,t8_ami_3,t34_funct_7,t8_ami_3,t34_funct_7,t8_ami_7,t26_ami_5,d10_xboole_0,d3_tarski,d1_tarski,t27_ami_7]),
    [file(ami_7,t53_ami_7),interesting(0.77)]).

fof(t62_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[t53_ami_7,t32_ami_7]),
    [file(ami_7,t62_ami_7),interesting(0.77)]).

fof(t36_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)) = k1_xboole_0 ) ) ) ),
    inference(mizar_proof,[status(thm)],[t10_subset_1,t23_ami_7,t22_ami_7,l40_ami_7,t10_ami_3,t10_ami_3,l39_ami_7,t33_funct_7,t34_funct_7,t2_xcmplx_1,d4_ami_7,t10_ami_3,t10_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6]),
    [file(ami_7,t36_ami_7),interesting(0.77)]).

fof(t66_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t56_ami_7,t36_ami_7]),
    [file(ami_7,t66_ami_7),interesting(0.75)]).

fof(t70_ami_7,theorem,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)) = k1_xboole_0 ) ),
    inference(mizar_proof,[status(thm)],[t59_ami_7,t40_ami_7,t37_xboole_1]),
    [file(ami_7,t70_ami_7),interesting(0.75)]).

fof(l51_ami_7,theorem,(
    k1_relat_1(c2) = u1_struct_0(k1_ami_3) ),
    inference(mizar_proof,[status(thm)],[t36_ami_3]),
    [file(ami_7,l51_ami_7),interesting(0.71)]).

fof(t41_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)) = k1_xboole_0 ) ) ),
    inference(mizar_proof,[status(thm)],[l51_ami_7,t33_funct_7,t10_subset_1,d11_ami_1,t14_ami_3,t30_ami_7,t36_ami_3,t33_funct_7,t14_ami_3,t31_ami_7,d4_ami_7,t22_ami_7,l40_ami_7,t14_ami_3,t14_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6]),
    [file(ami_7,t41_ami_7),interesting(0.69)]).

fof(l39_ami_7,theorem,(
    k1_relat_1(c1) = u1_struct_0(k1_ami_3) ),
    inference(mizar_proof,[status(thm)],[t36_ami_3]),
    [file(ami_7,l39_ami_7),interesting(0.67)]).

fof(t71_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[t60_ami_7,t41_ami_7]),
    [file(ami_7,t71_ami_7),interesting(0.67)]).

fof(t47_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t11_ami_3,d2_tarski,d13_ami_1,d2_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d2_tarski,t15_bvfunc14,t3_yellow14,t11_ami_3,t7_xcmplx_1,t3_yellow14,d3_ami_7,t25_ami_7]),
    [file(ami_7,t47_ami_7),interesting(0.66)]).

fof(l40_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( v1_int_1(B)
         => m1_subset_1(B,k3_ami_1(k1_tarski(k4_numbers),k1_ami_3,A)) ) ) ),
    inference(mizar_proof,[status(thm)],[t55_ami_3,d2_int_1]),
    [file(ami_7,l40_ami_7),interesting(0.65)]).

fof(t45_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t9_ami_3,d2_tarski,d13_ami_1,d2_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d2_tarski,t9_ami_3,t3_yellow14,d3_ami_7,t25_ami_7]),
    [file(ami_7,t45_ami_7),interesting(0.65)]).

fof(t46_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t10_ami_3,d2_tarski,d13_ami_1,d2_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d2_tarski,t10_ami_3,t3_yellow14,d3_ami_7,t25_ami_7]),
    [file(ami_7,t46_ami_7),interesting(0.65)]).

fof(t54_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)) = k1_enumset1(A,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,t7_ami_7,t8_ami_3,t34_funct_7,t8_ami_3,t34_funct_7,t8_ami_3,t33_funct_7,t33_funct_7,t8_ami_3,t34_funct_7,t8_ami_3,t34_funct_7,t8_ami_7,t26_ami_5,d1_enumset1,d10_xboole_0,d3_tarski,t11_ami_7,t44_ami_7,d2_tarski,l40_ami_7,l40_ami_7,t36_ami_3,t36_ami_3,t8_ami_3,t33_funct_7,t34_funct_7,t8_ami_3,t33_funct_7,d5_ami_7,t27_ami_7,d1_enumset1]),
    [file(ami_7,t54_ami_7),interesting(0.62)]).

fof(t43_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t8_ami_3,d3_ami_7,d13_ami_1,d1_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d1_tarski,t25_ami_7]),
    [file(ami_7,t43_ami_7),interesting(0.59)]).

fof(t33_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)) = k1_struct_0(k1_ami_3,A) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,t23_ami_7,t22_ami_7,d1_tarski,t8_ami_3,l40_ami_7,t8_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6,d10_xboole_0,d3_tarski,d1_tarski,t20_ami_5,t6_ami_7,t8_ami_3,t34_funct_7,t8_ami_3,t8_ami_3,t34_funct_7,t8_ami_3,t22_ami_5,t4_ami_7,t26_ami_5,d4_ami_7]),
    [file(ami_7,t33_ami_7),interesting(0.58)]).

fof(t1_ami_7,theorem,(
    ! [A,B,C] : ~ ( A != B
      & A != C
      & k4_xboole_0(k1_enumset1(A,B,C),k1_tarski(A)) != k2_tarski(B,C) ) ),
    inference(mizar_proof,[status(thm)],[d4_xboole_0,d1_enumset1,d1_tarski,d2_tarski,d3_tarski,d10_xboole_0,d3_tarski,d2_tarski,d1_enumset1,d1_tarski,d4_xboole_0]),
    [file(ami_7,t1_ami_7),interesting(0.56)]).

fof(t31_ami_7,theorem,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => A != k11_ami_3(A) ) ),
    inference(mizar_proof,[status(thm)],[d11_ami_3,d15_ami_2]),
    [file(ami_7,t31_ami_7),interesting(0.56)]).

fof(t2_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => r2_hidden(k1_funct_1(C,D),k3_ami_1(A,B,D)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d1_funct_2,t18_card_3]),
    [file(ami_7,t2_ami_7),interesting(0.53)]).

fof(t27_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v5_amistd_1(C,A,B)
               => r2_hidden(k2_ami_1(A,B),k4_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d16_amistd_1,t35_amistd_1,t26_ami_7]),
    [file(ami_7,t27_ami_7),interesting(0.51)]).

fof(t42_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)) = k1_xboole_0 ) ) ),
    inference(mizar_proof,[status(thm)],[l51_ami_7,t33_funct_7,t10_subset_1,d11_ami_1,t15_ami_3,t30_ami_7,t36_ami_3,t33_funct_7,t15_ami_3,t31_ami_7,d4_ami_7,t22_ami_7,l40_ami_7,t15_ami_3,t15_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6]),
    [file(ami_7,t42_ami_7),interesting(0.47)]).

fof(t15_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ~ ( v1_realset1(k3_ami_1(A,B,D))
                      & r2_hidden(D,k4_ami_7(A,B,C)) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d5_ami_7,t2_ami_7,d1_yellow_8,t37_funct_7,t36_ami_3,t36_ami_3,t2_ami_7,t33_funct_7,d1_yellow_8,t34_funct_7,t9_funct_1]),
    [file(ami_7,t15_ami_7),interesting(0.45)]).

fof(t23_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ~ ( v5_amistd_1(C,A,B)
                  & r2_hidden(k2_ami_1(A,B),k3_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d16_amistd_1,d11_ami_1,t36_ami_3,t33_funct_7,t35_amistd_1,d4_ami_7]),
    [file(ami_7,t23_ami_7),interesting(0.43)]).

fof(t19_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v2_ami_7(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v3_ami_1(C,A,B)
               => v1_xboole_0(k3_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t10_ami_7,t18_ami_7,t3_xboole_1]),
    [file(ami_7,t19_ami_7),interesting(0.42)]).

fof(t10_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v2_ami_7(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => r1_tarski(k3_ami_7(A,B,C),k2_ami_7(A,B,C)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t4_yellow15,t36_ami_3,t36_ami_3,d3_ami_7,t33_funct_7,d3_ami_7,t33_funct_7,d4_ami_7,t7_subset_1]),
    [file(ami_7,t10_ami_7),interesting(0.41)]).

fof(t13_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v2_ami_7(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => k3_ami_7(A,B,C) = k6_subset_1(u1_struct_0(B),k2_ami_7(A,B,C),k5_ami_7(A,B,C)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t10_ami_7,t9_ami_7,t3_xboole_0,d4_xboole_0,d4_xboole_0,t11_ami_7,d4_xboole_0,d4_xboole_0,t8_subset_1]),
    [file(ami_7,t13_ami_7),interesting(0.38)]).

fof(t14_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v2_ami_7(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => k4_ami_7(A,B,C) = k4_subset_1(u1_struct_0(B),k2_ami_7(A,B,C),k5_ami_7(A,B,C)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t10_ami_7,d4_xboole_0,d2_xboole_0,t7_subset_1,d10_xboole_0,t11_ami_7,t12_ami_7,t8_xboole_1]),
    [file(ami_7,t14_ami_7),interesting(0.38)]).

fof(t25_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v5_amistd_1(C,A,B)
               => r2_hidden(k2_ami_1(A,B),k2_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d16_amistd_1,t35_amistd_1,t24_ami_7]),
    [file(ami_7,t25_ami_7),interesting(0.38)]).

fof(t17_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ~ ( v1_realset1(k3_ami_1(A,B,D))
                      & r2_hidden(D,k2_ami_7(A,B,C)) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t11_ami_7,t15_ami_7]),
    [file(ami_7,t17_ami_7),interesting(0.37)]).

fof(t16_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ~ ( v1_realset1(k3_ami_1(A,B,D))
                      & r2_hidden(D,k5_ami_7(A,B,C)) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t12_ami_7,t15_ami_7]),
    [file(ami_7,t16_ami_7),interesting(0.32)]).

fof(t26_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( ~ ! [D] : 
                      ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                     => k1_funct_1(k4_ami_1(A,B,C,D),k2_ami_1(A,B)) = k6_ami_1(A,B,D) )
               => r2_hidden(k2_ami_1(A,B),k4_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t24_ami_7,t11_ami_7]),
    [file(ami_7,t26_ami_7),interesting(0.31)]).

fof(t29_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( ( v2_amistd_1(C,A,B)
                      & r2_hidden(D,k2_ami_7(A,B,C)) )
                   => D = k2_ami_1(A,B) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_amistd_1,d4_amistd_1,d3_ami_7]),
    [file(ami_7,t29_ami_7),interesting(0.25)]).

fof(t3_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v10_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => ! [D] : 
                  ( m1_struct_0(D,B,u2_ami_1(A,B))
                 => ! [E] : 
                      ( m1_subset_1(E,k3_ami_1(A,B,k2_ami_1(A,B)))
                     => k1_funct_1(k2_funct_7(C,k2_ami_1(A,B),E),D) = k13_ami_1(A,B,C,D) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t48_ami_1,t34_funct_7]),
    [file(ami_7,t3_ami_7),interesting(0.19)]).

fof(t24_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( ~ ! [D] : 
                      ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                     => k1_funct_1(k4_ami_1(A,B,C,D),k2_ami_1(A,B)) = k6_ami_1(A,B,D) )
               => r2_hidden(k2_ami_1(A,B),k2_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7]),
    [file(ami_7,t24_ami_7),interesting(0.19)]).

fof(t6_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] : 
                          ( m1_subset_1(F,k3_ami_1(A,B,E))
                         => ( v5_amistd_1(C,A,B)
                           => ( E = k2_ami_1(A,B)
                              | k6_ami_1(A,B,k4_ami_1(A,B,C,D)) = k6_ami_1(A,B,k4_ami_1(A,B,C,k1_ami_7(A,B,D,E,F))) ) ) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d16_amistd_1,t5_ami_7]),
    [file(ami_7,t6_ami_7),interesting(0.10)]).

fof(t7_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] : 
                          ( m1_subset_1(F,k3_ami_1(A,B,E))
                         => ( v5_amistd_1(C,A,B)
                           => ( E = k2_ami_1(A,B)
                              | k6_ami_1(A,B,k4_ami_1(A,B,C,k1_ami_7(A,B,D,E,F))) = k6_ami_1(A,B,k1_ami_7(A,B,k4_ami_1(A,B,C,D),E,F)) ) ) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t6_ami_7,t34_funct_7]),
    [file(ami_7,t7_ami_7),interesting(0.09)]).

fof(l38_ami_7,theorem,(
    ? [A] : m1_subset_1(A,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3))) ),
    file(ami_7,l38_ami_7),
    [interesting(0.00)]).

fof(l50_ami_7,theorem,(
    ? [A] : m1_subset_1(A,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3))) ),
    file(ami_7,l50_ami_7),
    [interesting(0.00)]).

fof(t4_yellow15,theorem,(
    ! [A] : 
      ( ~ v1_realset1(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ? [C] : 
              ( r2_hidden(C,A)
              & B != C ) ) ) ),
    file(yellow15,t4_yellow15),
    [interesting(0.00)]).

fof(t36_ami_3,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => k1_relat_1(C) = u1_struct_0(B) ) ) ) ),
    file(ami_3,t36_ami_3),
    [interesting(0.00)]).

fof(d3_ami_7,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( D = k2_ami_7(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(B))
                       => ( r2_hidden(E,D)
                        <=> ~ ! [F] : 
                                ( m1_subset_1(F,k4_card_3(u5_ami_1(A,B)))
                               => k1_funct_1(F,E) = k1_funct_1(k4_ami_1(A,B,C,F),E) ) ) ) ) ) ) ) ) ),
    file(ami_7,d3_ami_7),
    [interesting(0.00)]).

fof(t33_funct_7,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : 
          ( r2_hidden(C,k1_relat_1(A))
         => k1_funct_1(k2_funct_7(A,C,B),C) = B ) ) ),
    file(funct_7,t33_funct_7),
    [interesting(0.00)]).

fof(d4_ami_7,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( D = k3_ami_7(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(B))
                       => ( r2_hidden(E,D)
                        <=> ! [F] : 
                              ( m1_subset_1(F,k4_card_3(u5_ami_1(A,B)))
                             => ! [G] : 
                                  ( m1_subset_1(G,k3_ami_1(A,B,E))
                                 => k4_ami_1(A,B,C,F) = k4_ami_1(A,B,C,k1_ami_7(A,B,F,E,G)) ) ) ) ) ) ) ) ) ) ),
    file(ami_7,d4_ami_7),
    [interesting(0.00)]).

fof(t7_subset_1,theorem,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(A))
         => ( ! [D] : 
                ( m1_subset_1(D,A)
               => ( r2_hidden(D,B)
                 => r2_hidden(D,C) ) )
           => r1_tarski(B,C) ) ) ) ),
    file(subset_1,t7_subset_1),
    [interesting(0.00)]).

fof(t85_xboole_1,theorem,(
    ! [A,B,C] : 
      ( r1_tarski(A,B)
     => r1_xboole_0(A,k4_xboole_0(C,B)) ) ),
    file(xboole_1,t85_xboole_1),
    [interesting(0.00)]).

fof(t9_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => r1_xboole_0(k3_ami_7(A,B,C),k5_ami_7(A,B,C)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t85_xboole_1]),
    [file(ami_7,t9_ami_7),interesting(0.00)]).

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(0.00)]).

fof(d4_xboole_0,definition,(
    ! [A,B,C] : 
      ( C = k4_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & ~ r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d4_xboole_0),
    [interesting(0.00)]).

fof(d1_funct_2,definition,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( ( ( B = k1_xboole_0
           => A = k1_xboole_0 )
         => ( v1_funct_2(C,A,B)
          <=> A = k4_relset_1(A,B,C) ) )
        & ( B = k1_xboole_0
         => ( A = k1_xboole_0
            | ( v1_funct_2(C,A,B)
            <=> C = k1_xboole_0 ) ) ) ) ) ),
    file(funct_2,d1_funct_2),
    [interesting(0.00)]).

fof(t18_card_3,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B) )
         => ( r2_hidden(A,k4_card_3(B))
          <=> ( k1_relat_1(A) = k1_relat_1(B)
              & ! [C] : 
                  ( r2_hidden(C,k1_relat_1(B))
                 => r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) ) ) ) ),
    file(card_3,t18_card_3),
    [interesting(0.00)]).

fof(d5_ami_7,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( D = k4_ami_7(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(B))
                       => ( r2_hidden(E,D)
                        <=> ~ ! [F] : 
                                ( m1_subset_1(F,k4_card_3(u5_ami_1(A,B)))
                               => ! [G] : 
                                    ( m1_subset_1(G,k3_ami_1(A,B,E))
                                   => k4_ami_1(A,B,C,k1_ami_7(A,B,F,E,G)) = k1_ami_7(A,B,k4_ami_1(A,B,C,F),E,G) ) ) ) ) ) ) ) ) ) ),
    file(ami_7,d5_ami_7),
    [interesting(0.00)]).

fof(t37_funct_7,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : k2_funct_7(A,B,k1_funct_1(A,B)) = A ) ),
    file(funct_7,t37_funct_7),
    [interesting(0.00)]).

fof(t11_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => r1_tarski(k2_ami_7(A,B,C),k4_ami_7(A,B,C)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t2_ami_7,d5_ami_7,t36_ami_3,t33_funct_7,t37_funct_7,d3_ami_7,t7_subset_1]),
    [file(ami_7,t11_ami_7),interesting(0.00)]).

fof(t8_subset_1,theorem,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(A))
         => ( ! [D] : 
                ( m1_subset_1(D,A)
               => ( r2_hidden(D,B)
                <=> r2_hidden(D,C) ) )
           => B = C ) ) ) ),
    file(subset_1,t8_subset_1),
    [interesting(0.00)]).

fof(d2_xboole_0,definition,(
    ! [A,B,C] : 
      ( C = k2_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            | r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d2_xboole_0),
    [interesting(0.00)]).

fof(d10_xboole_0,definition,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    [interesting(0.00)]).

fof(t36_xboole_1,theorem,(
    ! [A,B] : r1_tarski(k4_xboole_0(A,B),A) ),
    file(xboole_1,t36_xboole_1),
    [interesting(0.00)]).

fof(t12_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => r1_tarski(k5_ami_7(A,B,C),k4_ami_7(A,B,C)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t36_xboole_1]),
    [file(ami_7,t12_ami_7),interesting(0.00)]).

fof(t8_xboole_1,theorem,(
    ! [A,B,C] : 
      ( ( r1_tarski(A,B)
        & r1_tarski(C,B) )
     => r1_tarski(k2_xboole_0(A,C),B) ) ),
    file(xboole_1,t8_xboole_1),
    [interesting(0.00)]).

fof(d1_yellow_8,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( v1_realset1(A)
      <=> ! [B] : 
            ( m1_subset_1(B,A)
           => ! [C] : 
                ( m1_subset_1(C,A)
               => B = C ) ) ) ) ),
    file(yellow_8,d1_yellow_8),
    [interesting(0.00)]).

fof(t34_funct_7,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C,D] : 
          ( C != D
         => k1_funct_1(k2_funct_7(A,C,B),D) = k1_funct_1(A,D) ) ) ),
    file(funct_7,t34_funct_7),
    [interesting(0.00)]).

fof(t9_funct_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B) )
         => ( ( k1_relat_1(A) = k1_relat_1(B)
              & ! [C] : 
                  ( r2_hidden(C,k1_relat_1(A))
                 => k1_funct_1(A,C) = k1_funct_1(B,C) ) )
           => A = B ) ) ) ),
    file(funct_1,t9_funct_1),
    [interesting(0.00)]).

fof(d8_ami_1,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v3_ami_1(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                   => k4_ami_1(A,B,C,D) = D ) ) ) ) ) ),
    file(ami_1,d8_ami_1),
    [interesting(0.00)]).

fof(t10_subset_1,theorem,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => ~ ( B != k1_xboole_0
          & ! [C] : 
              ( m1_subset_1(C,A)
             => ~ r2_hidden(C,B) ) ) ) ),
    file(subset_1,t10_subset_1),
    [interesting(0.00)]).

fof(t18_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v3_ami_1(C,A,B)
              <=> v1_xboole_0(k2_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d8_ami_1,t10_subset_1,d3_ami_7,d8_ami_1,t36_ami_3,t36_ami_3,t9_funct_1,d3_ami_7]),
    [file(ami_7,t18_ami_7),interesting(0.00)]).

fof(t3_xboole_1,theorem,(
    ! [A] : 
      ( r1_tarski(A,k1_xboole_0)
     => A = k1_xboole_0 ) ),
    file(xboole_1,t3_xboole_1),
    [interesting(0.00)]).

fof(t20_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v3_ami_1(C,A,B)
               => v1_xboole_0(k4_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d8_ami_1,t10_subset_1,d5_ami_7]),
    [file(ami_7,t20_ami_7),interesting(0.00)]).

fof(t21_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v3_ami_1(C,A,B)
               => v1_xboole_0(k5_ami_7(A,B,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t20_ami_7]),
    [file(ami_7,t21_ami_7),interesting(0.00)]).

fof(d3_amistd_1,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u3_ami_1(A,B))
             => ( v1_amistd_1(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(B))
                       => ! [F] : 
                            ( m2_subset_1(F,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
                           => ( k1_ami_5(A,B,F) = C
                             => ( E = k2_ami_1(A,B)
                                | k1_funct_1(k4_ami_1(A,B,F,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) ) ),
    file(amistd_1,d3_amistd_1),
    [interesting(0.00)]).

fof(d4_amistd_1,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v2_amistd_1(C,A,B)
              <=> v1_amistd_1(k1_ami_5(A,B,C),A,B) ) ) ) ) ),
    file(amistd_1,d4_amistd_1),
    [interesting(0.00)]).

fof(t48_ami_1,theorem,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_ami_1(B,A)
        & v5_ami_1(B,A)
        & v8_ami_1(B,A)
        & l1_ami_1(B,A) )
     => ( v10_ami_1(B,A)
       => ! [C] : 
            ( m1_struct_0(C,B,u2_ami_1(A,B))
           => k2_ami_1(A,B) != C ) ) ) ),
    file(ami_1,t48_ami_1),
    [interesting(0.00)]).

fof(t8_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ( k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B),C),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,C))
                & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B),C),A) = k2_ami_3(C,B)
                & ! [D] : 
                    ( m1_ami_3(D)
                   => ( D != A
                     => k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B),C),D) = k2_ami_3(C,D) ) ) ) ) ) ) ),
    file(ami_3,t8_ami_3),
    [interesting(0.00)]).

fof(d13_ami_1,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ( v7_ami_1(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
               => ! [D] : 
                    ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
                   => ! [E] : 
                        ( m1_struct_0(E,B,u2_ami_1(A,B))
                       => k1_funct_1(k4_ami_1(A,B,D,C),E) = k1_funct_1(C,E) ) ) ) ) ) ) ),
    file(ami_1,d13_ami_1),
    [interesting(0.00)]).

fof(d1_tarski,definition,(
    ! [A,B] : 
      ( B = k1_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> C = A ) ) ),
    file(tarski,d1_tarski),
    [interesting(0.00)]).

fof(t3_ami_6,theorem,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k1_ami_3))
     => ~ ( A != k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)
          & ~ r2_hidden(A,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
          & ~ m1_ami_3(A) ) ) ),
    file(ami_6,t3_ami_6),
    [interesting(0.00)]).

fof(d3_tarski,definition,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    [interesting(0.00)]).

fof(d16_amistd_1,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ( v5_amistd_1(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                   => k1_funct_1(k4_ami_1(A,B,C,D),k2_ami_1(A,B)) = k9_amistd_1(A,B,k6_ami_1(A,B,D)) ) ) ) ) ) ),
    file(amistd_1,d16_amistd_1),
    [interesting(0.00)]).

fof(t35_amistd_1,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_struct_0(C,B,u2_ami_1(A,B))
             => C != k9_amistd_1(A,B,C) ) ) ) ),
    file(amistd_1,t35_amistd_1),
    [interesting(0.00)]).

fof(t5_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] : 
                      ( m1_subset_1(E,k3_ami_1(A,B,D))
                     => ( D != k2_ami_1(A,B)
                       => k6_ami_1(A,B,C) = k6_ami_1(A,B,k1_ami_7(A,B,C,D,E)) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t34_funct_7]),
    [file(ami_7,t5_ami_7),interesting(0.00)]).

fof(t8_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v7_ami_1(B,A)
            & v8_ami_1(B,A)
            & v4_amistd_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] : 
                          ( m1_subset_1(F,k3_ami_1(A,B,E))
                         => ! [G] : 
                              ( m1_struct_0(G,B,u2_ami_1(A,B))
                             => k13_ami_1(A,B,k4_ami_1(A,B,C,k1_ami_7(A,B,D,E,F)),G) = k13_ami_1(A,B,k1_ami_7(A,B,k4_ami_1(A,B,C,D),E,F),G) ) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d13_ami_1,t36_ami_3,t36_ami_3,t33_funct_7,t33_funct_7,t34_funct_7,d13_ami_1,t34_funct_7]),
    [file(ami_7,t8_ami_7),interesting(0.00)]).

fof(t26_ami_5,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
     => ! [B] : 
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ( ( k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,A) = k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,B)
              & ! [C] : 
                  ( m1_ami_3(C)
                 => k2_ami_3(A,C) = k2_ami_3(B,C) )
              & ! [C] : 
                  ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
                 => k13_ami_1(k1_tarski(k4_numbers),k1_ami_3,A,C) = k13_ami_1(k1_tarski(k4_numbers),k1_ami_3,B,C) ) )
           => A = B ) ) ) ),
    file(ami_5,t26_ami_5),
    [interesting(0.00)]).

fof(d11_ami_1,definition,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_ami_1(B,A) )
     => ( v5_ami_1(B,A)
      <=> k3_ami_1(A,B,k2_ami_1(A,B)) = u2_ami_1(A,B) ) ) ),
    file(ami_1,d11_ami_1),
    [interesting(0.00)]).

fof(d14_ami_1,definition,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_ami_1(B,A)
        & l1_ami_1(B,A) )
     => ( v8_ami_1(B,A)
      <=> ! [C] : 
            ( m1_struct_0(C,B,u2_ami_1(A,B))
           => k3_ami_1(A,B,C) = u4_ami_1(A,B) ) ) ) ),
    file(ami_1,d14_ami_1),
    [interesting(0.00)]).

fof(t22_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v7_ami_1(B,A)
            & v8_ami_1(B,A)
            & v1_ami_7(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_struct_0(C,B,u2_ami_1(A,B))
             => ! [D] : 
                  ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
                 => ~ r2_hidden(C,k3_ami_7(A,B,D)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t4_yellow15,d14_ami_1,t36_ami_3,d13_ami_1,d13_ami_1,t33_funct_7,d4_ami_7]),
    [file(ami_7,t22_ami_7),interesting(0.00)]).

fof(t55_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => k3_ami_1(k1_tarski(k4_numbers),k1_ami_3,A) = k4_numbers ) ),
    file(ami_3,t55_ami_3),
    [interesting(0.00)]).

fof(d2_int_1,definition,(
    ! [A] : 
      ( v1_int_1(A)
    <=> r2_hidden(A,k4_numbers) ) ),
    file(int_1,d2_int_1),
    [interesting(0.00)]).

fof(t2_xcmplx_1,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => ! [B] : 
          ( v1_xcmplx_0(B)
         => ! [C] : 
              ( v1_xcmplx_0(C)
             => ( k2_xcmplx_0(A,B) = k2_xcmplx_0(C,B)
               => A = C ) ) ) ) ),
    file(xcmplx_1,t2_xcmplx_1),
    [interesting(0.00)]).

fof(t20_ami_5,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => A != k2_ami_1(k1_tarski(k4_numbers),k1_ami_3) ) ),
    file(ami_5,t20_ami_5),
    [interesting(0.00)]).

fof(t22_ami_5,theorem,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] : 
          ( m1_ami_3(B)
         => A != B ) ) ),
    file(ami_5,t22_ami_5),
    [interesting(0.00)]).

fof(t4_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v7_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] : 
                      ( m1_struct_0(E,B,u2_ami_1(A,B))
                     => ! [F] : 
                          ( m2_subset_1(F,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
                         => ! [G] : 
                              ( m1_subset_1(G,k3_ami_1(A,B,D))
                             => ( E != D
                               => k13_ami_1(A,B,k4_ami_1(A,B,F,C),E) = k13_ami_1(A,B,k4_ami_1(A,B,F,k1_ami_7(A,B,C,D,G)),E) ) ) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d13_ami_1,t34_funct_7,d13_ami_1]),
    [file(ami_7,t4_ami_7),interesting(0.00)]).

fof(d1_enumset1,definition,(
    ! [A,B,C,D] : 
      ( D = k1_enumset1(A,B,C)
    <=> ! [E] : 
          ( r2_hidden(E,D)
        <=> ~ ( E != A
              & E != B
              & E != C ) ) ) ),
    file(enumset1,d1_enumset1),
    [interesting(0.00)]).

fof(d2_tarski,definition,(
    ! [A,B,C] : 
      ( C = k2_tarski(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( D = A
            | D = B ) ) ) ),
    file(tarski,d2_tarski),
    [interesting(0.00)]).

fof(t44_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t8_ami_3,d2_tarski,d13_ami_1,d2_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,t10_ami_7,t33_ami_7,d1_tarski,t25_ami_7,d2_tarski]),
    [file(ami_7,t44_ami_7),interesting(0.00)]).

fof(t63_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ( A != B
           => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)) = k2_struct_0(k1_ami_3,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t20_ami_5,t33_ami_7,t54_ami_7,t1_ami_7]),
    [file(ami_7,t63_ami_7),interesting(0.00)]).

fof(t9_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ( k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B),C),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,C))
                & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B),C),A) = k2_xcmplx_0(k2_ami_3(C,A),k2_ami_3(C,B))
                & ! [D] : 
                    ( m1_ami_3(D)
                   => ( D != A
                     => k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B),C),D) = k2_ami_3(C,D) ) ) ) ) ) ) ),
    file(ami_3,t9_ami_3),
    [interesting(0.00)]).

fof(t3_yellow14,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : k1_funct_1(k1_funct_4(A,k3_cqc_lang(B,C)),B) = C ) ),
    file(yellow14,t3_yellow14),
    [interesting(0.00)]).

fof(t10_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ( k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B),C),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,C))
                & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B),C),A) = k6_xcmplx_0(k2_ami_3(C,A),k2_ami_3(C,B))
                & ! [D] : 
                    ( m1_ami_3(D)
                   => ( D != A
                     => k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B),C),D) = k2_ami_3(C,D) ) ) ) ) ) ) ),
    file(ami_3,t10_ami_3),
    [interesting(0.00)]).

fof(t70_enumset1,theorem,(
    ! [A,B] : k1_enumset1(A,A,B) = k2_tarski(A,B) ),
    file(enumset1,t70_enumset1),
    [interesting(0.00)]).

fof(t23_zfmisc_1,theorem,(
    ! [A,B] : 
      ( A != B
     => k4_xboole_0(k2_tarski(A,B),k1_tarski(B)) = k1_tarski(A) ) ),
    file(zfmisc_1,t23_zfmisc_1),
    [interesting(0.00)]).

fof(t11_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ( k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B),C),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,C))
                & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B),C),A) = k3_xcmplx_0(k2_ami_3(C,A),k2_ami_3(C,B))
                & ! [D] : 
                    ( m1_ami_3(D)
                   => ( D != A
                     => k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B),C),D) = k2_ami_3(C,D) ) ) ) ) ) ) ),
    file(ami_3,t11_ami_3),
    [interesting(0.00)]).

fof(t15_bvfunc14,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C,D,E] : 
          ( B != C
         => k1_funct_1(k1_funct_4(k1_funct_4(A,k3_cqc_lang(B,D)),k3_cqc_lang(C,E)),B) = D ) ) ),
    file(bvfunc14,t15_bvfunc14),
    [interesting(0.00)]).

fof(t7_xcmplx_1,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => ! [B] : 
          ( v1_xcmplx_0(B)
         => ( k3_xcmplx_0(B,A) = A
           => ( A = 0
              | B = 1 ) ) ) ) ),
    file(xcmplx_1,t7_xcmplx_1),
    [interesting(0.00)]).

fof(d4_int_1,definition,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_int_1(B)
         => ( B = k1_int_1(A)
          <=> ( r1_xreal_0(B,A)
              & ~ r1_xreal_0(B,k6_xcmplx_0(A,1)) ) ) ) ) ),
    file(int_1,d4_int_1),
    [interesting(0.00)]).

fof(t47_int_1,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( k1_int_1(A) = A
      <=> v1_int_1(A) ) ) ),
    file(int_1,t47_int_1),
    [interesting(0.00)]).

fof(t12_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ( k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B),C),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,C))
                & ( A != B
                 => k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B),C),A) = k5_int_1(k2_ami_3(C,A),k2_ami_3(C,B)) )
                & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B),C),B) = k6_int_1(k2_ami_3(C,A),k2_ami_3(C,B))
                & ! [D] : 
                    ( m1_ami_3(D)
                   => ~ ( D != A
                        & D != B
                        & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B),C),D) != k2_ami_3(C,D) ) ) ) ) ) ) ),
    file(ami_3,t12_ami_3),
    [interesting(0.00)]).

fof(d1_nat_1,definition,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => ! [C] : 
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( C = k3_nat_1(A,B)
              <=> ~ ( ! [D] : 
                        ( m2_subset_1(D,k1_numbers,k5_numbers)
                       => ~ ( A = k2_xcmplx_0(k3_xcmplx_0(B,C),D)
                            & ~ r1_xreal_0(B,D) ) )
                    & ~ ( C = 0
                        & B = 0 ) ) ) ) ) ) ),
    file(nat_1,d1_nat_1),
    [interesting(0.00)]).

fof(t101_newton,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => ( k5_int_1(A,B) = k3_nat_1(A,B)
            & k6_int_1(A,B) = k4_nat_1(A,B) ) ) ) ),
    file(newton,t101_newton),
    [interesting(0.00)]).

fof(d2_nat_1,definition,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => ! [C] : 
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( C = k4_nat_1(A,B)
              <=> ~ ( ! [D] : 
                        ( m2_subset_1(D,k1_numbers,k5_numbers)
                       => ~ ( A = k2_xcmplx_0(k3_xcmplx_0(B,D),C)
                            & ~ r1_xreal_0(B,C) ) )
                    & ~ ( C = 0
                        & B = 0 ) ) ) ) ) ) ),
    file(nat_1,d2_nat_1),
    [interesting(0.00)]).

fof(t15_ami_5,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ( k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,A),B),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,B))
            & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,A),B),A) = k6_int_1(k2_ami_3(B,A),k2_ami_3(B,A))
            & ! [C] : 
                ( m1_ami_3(C)
               => ( C != A
                 => k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,A),B),C) = k2_ami_3(B,C) ) ) ) ) ) ),
    file(ami_5,t15_ami_5),
    [interesting(0.00)]).

fof(t77_int_1,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => k6_int_1(A,A) = 0 ) ),
    file(int_1,t77_int_1),
    [interesting(0.00)]).

fof(t75_int_1,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => k5_int_1(A,0) = 0 ) ),
    file(int_1,t75_int_1),
    [interesting(0.00)]).

fof(t2_pre_ff,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => k5_int_1(A,1) = A ) ),
    file(pre_ff,t2_pre_ff),
    [interesting(0.00)]).

fof(t13_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ( k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(B),C),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = B
                & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(B),C),A) = k2_ami_3(C,A) ) ) ) ) ),
    file(ami_3,t13_ami_3),
    [interesting(0.00)]).

fof(t30_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ! [C] : 
              ( m1_subset_1(C,k3_ami_1(k1_tarski(k4_numbers),k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => k2_ami_3(k1_ami_7(k1_tarski(k4_numbers),k1_ami_3,B,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3),C),A) = k2_ami_3(B,A) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t20_ami_5,t34_funct_7]),
    [file(ami_7,t30_ami_7),interesting(0.00)]).

fof(t40_ami_7,theorem,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k3_ami_7(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d1_tarski,t22_ami_7,l40_ami_7,t13_ami_3,t13_ami_3,l39_ami_7,t33_funct_7,t2_xcmplx_1,d4_ami_7,t3_ami_6,d10_xboole_0,d3_tarski,d1_tarski,t13_ami_3,t13_ami_3,t13_ami_3,t30_ami_7,t13_ami_3,t48_ami_1,t4_ami_7,t26_ami_5,d4_ami_7]),
    [file(ami_7,t40_ami_7),interesting(0.00)]).

fof(t49_ami_7,theorem,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t13_ami_3,d13_ami_1,d1_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d1_tarski,t10_ami_7,t40_ami_7,d1_tarski]),
    [file(ami_7,t49_ami_7),interesting(0.00)]).

fof(t59_ami_7,theorem,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,t36_ami_3,t36_ami_3,d1_tarski,t13_ami_3,t13_ami_3,t34_funct_7,t13_ami_3,t33_funct_7,t33_funct_7,t13_ami_3,t34_funct_7,t13_ami_3,t34_funct_7,t8_ami_7,t26_ami_5,d10_xboole_0,d3_tarski,d1_tarski,t11_ami_7,t49_ami_7,d1_tarski]),
    [file(ami_7,t59_ami_7),interesting(0.00)]).

fof(t37_xboole_1,theorem,(
    ! [A,B] : 
      ( k4_xboole_0(A,B) = k1_xboole_0
    <=> r1_tarski(A,B) ) ),
    file(xboole_1,t37_xboole_1),
    [interesting(0.00)]).

fof(t77_ami_5,theorem,(
    ! [A] : 
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] : 
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ! [C] : 
              ( ( v1_ami_3(C,k1_tarski(k4_numbers),k1_ami_3)
                & m1_ami_1(C,k1_tarski(k4_numbers),k1_ami_3) )
             => k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,A,k8_ami_5(k1_tarski(k4_numbers),k1_ami_3,B,C)) = k8_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,A,B),C) ) ) ) ),
    file(ami_5,t77_ami_5),
    [interesting(0.00)]).

fof(t5_cqc_lang,theorem,(
    ! [A,B] : 
      ( k1_relat_1(k3_cqc_lang(A,B)) = k1_tarski(A)
      & k2_relat_1(k3_cqc_lang(A,B)) = k1_tarski(B) ) ),
    file(cqc_lang,t5_cqc_lang),
    [interesting(0.00)]).

fof(t37_zfmisc_1,theorem,(
    ! [A,B] : 
      ( r1_tarski(k1_tarski(A),B)
    <=> r2_hidden(A,B) ) ),
    file(zfmisc_1,t37_zfmisc_1),
    [interesting(0.00)]).

fof(d13_ami_3,definition,(
    ! [A,B] : 
      ( l1_ami_1(B,A)
     => ! [C] : 
          ( m1_ami_1(C,A,B)
         => ( v1_ami_3(C,A,B)
          <=> r1_tarski(k1_relat_1(C),u2_ami_1(A,B)) ) ) ) ),
    file(ami_3,d13_ami_3),
    [interesting(0.00)]).

fof(d3_funct_7,definition,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : 
          ( ( r2_hidden(B,k1_relat_1(A))
           => k2_funct_7(A,B,C) = k1_funct_4(A,k3_cqc_lang(B,C)) )
          & ( ~ r2_hidden(B,k1_relat_1(A))
           => k2_funct_7(A,B,C) = A ) ) ) ),
    file(funct_7,d3_funct_7),
    [interesting(0.00)]).

fof(t28_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_struct_0(C,B,u2_ami_1(A,B))
             => ! [D] : 
                  ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
                 => ~ ( ! [E] : 
                          ( m1_subset_1(E,k4_card_3(u5_ami_1(A,B)))
                         => ! [F] : 
                              ( ( v1_ami_3(F,A,B)
                                & m1_ami_1(F,A,B) )
                             => k4_ami_1(A,B,D,k8_ami_5(A,B,E,F)) = k8_ami_5(A,B,k4_ami_1(A,B,D,E),F) ) )
                      & r2_hidden(C,k4_ami_7(A,B,D)) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d5_ami_7,t36_ami_3,t36_ami_3,t5_cqc_lang,t37_zfmisc_1,d13_ami_3,d3_funct_7,d3_funct_7]),
    [file(ami_7,t28_ami_7),interesting(0.00)]).

fof(t52_ami_7,theorem,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] : 
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ~ r2_hidden(A,k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,B)) ) ) ),
    inference(mizar_proof,[status(thm)],[t77_ami_5,t28_ami_7]),
    [file(ami_7,t52_ami_7),interesting(0.00)]).

fof(t14_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ! [C] : 
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => ! [D] : 
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
                 => ( ( k2_ami_3(D,A) = 0
                     => k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(C,A),D),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = C )
                    & ( k2_ami_3(D,A) != 0
                     => k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(C,A),D),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,D)) )
                    & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(C,A),D),B) = k2_ami_3(D,B) ) ) ) ) ) ),
    file(ami_3,t14_ami_3),
    [interesting(0.00)]).

fof(d11_ami_3,definition,(
    ! [A] : 
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ( B = k11_ami_3(A)
          <=> ? [C] : 
                ( m2_subset_1(C,k5_numbers,k3_ami_2)
                & C = A
                & B = k15_ami_2(C) ) ) ) ) ),
    file(ami_3,d11_ami_3),
    [interesting(0.00)]).

fof(d15_ami_2,definition,(
    ! [A] : 
      ( m2_subset_1(A,k5_numbers,k3_ami_2)
     => k15_ami_2(A) = k1_nat_1(A,2) ) ),
    file(ami_2,d15_ami_2),
    [interesting(0.00)]).

fof(t59_ami_1,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C,D] : 
              ( m1_subset_1(D,u1_struct_0(B))
             => ( k3_ami_1(A,B,D) = C
               => ! [E] : 
                    ( m1_subset_1(E,C)
                   => m1_ami_1(k3_cqc_lang(D,E),A,B) ) ) ) ) ) ),
    file(ami_1,t59_ami_1),
    [interesting(0.00)]).

fof(t50_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t14_ami_3,d13_ami_1,d1_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d1_tarski,d11_ami_1,t59_ami_1,t3_yellow14,t20_ami_5,t15_bvfunc14,t14_ami_3,t31_ami_7,d3_ami_7]),
    [file(ami_7,t50_ami_7),interesting(0.00)]).

fof(t60_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,d2_tarski,t52_ami_7,d2_tarski,t20_ami_5,t36_ami_3,t36_ami_3,t14_ami_3,t33_funct_7,t33_funct_7,t34_funct_7,t14_ami_3,t34_funct_7,t8_ami_7,t34_funct_7,t5_ami_7,t14_ami_3,t14_ami_3,t14_ami_3,t5_ami_7,t14_ami_3,t26_ami_5,t3_ami_6,d10_xboole_0,d3_tarski,t20_ami_5,d11_ami_1,t34_funct_7,l39_ami_7,t33_funct_7,t36_ami_3,t33_funct_7,l40_ami_7,t36_ami_3,t33_funct_7,t14_ami_3,t5_ami_7,t14_ami_3,t31_ami_7,d5_ami_7,t11_ami_7,t50_ami_7,d1_tarski,d2_tarski]),
    [file(ami_7,t60_ami_7),interesting(0.00)]).

fof(t15_ami_3,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_ami_3(B)
         => ! [C] : 
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => ! [D] : 
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
                 => ( ( ~ r1_xreal_0(k2_ami_3(D,A),0)
                     => k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(C,A),D),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = C )
                    & ( r1_xreal_0(k2_ami_3(D,A),0)
                     => k1_funct_1(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(C,A),D),k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k11_ami_3(k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,D)) )
                    & k2_ami_3(k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(C,A),D),B) = k2_ami_3(D,B) ) ) ) ) ) ),
    file(ami_3,t15_ami_3),
    [interesting(0.00)]).

fof(t51_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k2_ami_7(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)) = k1_struct_0(k1_ami_3,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_ami_7,t15_ami_3,d13_ami_1,d1_tarski,t3_ami_6,d3_tarski,d10_xboole_0,d3_tarski,d1_tarski,d11_ami_1,t59_ami_1,t3_yellow14,t20_ami_5,t15_bvfunc14,t15_ami_3,t31_ami_7,d3_ami_7]),
    [file(ami_7,t51_ami_7),interesting(0.00)]).

fof(t61_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k4_ami_7(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[d3_tarski,d5_ami_7,d2_tarski,t52_ami_7,d2_tarski,t20_ami_5,t36_ami_3,t36_ami_3,t15_ami_3,t33_funct_7,t33_funct_7,t34_funct_7,t15_ami_3,t34_funct_7,t8_ami_7,t34_funct_7,t5_ami_7,t15_ami_3,t15_ami_3,t15_ami_3,t5_ami_7,t15_ami_3,t26_ami_5,t3_ami_6,d10_xboole_0,d3_tarski,t20_ami_5,d11_ami_1,t34_funct_7,l39_ami_7,t33_funct_7,t36_ami_3,t33_funct_7,l40_ami_7,t36_ami_3,t33_funct_7,t15_ami_3,t5_ami_7,t15_ami_3,t31_ami_7,d5_ami_7,t11_ami_7,t51_ami_7,d1_tarski,d2_tarski]),
    [file(ami_7,t61_ami_7),interesting(0.00)]).

fof(t72_ami_7,theorem,(
    ! [A] : 
      ( m1_ami_3(A)
     => ! [B] : 
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k5_ami_7(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)) = k2_struct_0(k1_ami_3,A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ),
    inference(mizar_proof,[status(thm)],[t61_ami_7,t42_ami_7]),
    [file(ami_7,t72_ami_7),interesting(0.00)]).