TSTP Solution File: ANA126^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ANA126^1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n107.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Jan 20 10:02:34 EST 2017
% Result : Timeout 293.31s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA126^1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n107.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 20 05:14:04 CST 2017
% 0.02/0.23 % CPUTime :
% 0.07/0.41 Python 2.7.8
% 0.27/0.90 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7ea2fa70>, <kernel.Type object at 0x2b0a7e96d560>) of role type named thf_type_type/realax/real
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring type/realax/real:Type
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7ea2fbd8>, <kernel.Type object at 0x2b0a7e96d248>) of role type named thf_type_type/nums/num
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring type/nums/num:Type
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7ea2fa70>, <kernel.DependentProduct object at 0x2b0a7e96d440>) of role type named thf_const_const/realax/real_of_num
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring const/realax/real_of_num:(type/nums/num->type/realax/real)
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7ea2fbd8>, <kernel.DependentProduct object at 0x2b0a7bcabbd8>) of role type named thf_const_const/realax/real_neg
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring const/realax/real_neg:(type/realax/real->type/realax/real)
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7ea2fbd8>, <kernel.DependentProduct object at 0x2b0a7e96d440>) of role type named thf_const_const/realax/real_mul
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring const/realax/real_mul:(type/realax/real->(type/realax/real->type/realax/real))
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7e96d998>, <kernel.DependentProduct object at 0x2b0a7bcabbd8>) of role type named thf_const_const/nums/NUMERAL
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring const/nums/NUMERAL:(type/nums/num->type/nums/num)
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7e96d4d0>, <kernel.DependentProduct object at 0x2b0a7bcabd40>) of role type named thf_const_const/nums/BIT1
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring const/nums/BIT1:(type/nums/num->type/nums/num)
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7e96d3b0>, <kernel.Constant object at 0x2b0a7e96d1b8>) of role type named thf_const_const/nums/_0
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring const/nums/_0:type/nums/num
% 0.27/0.90 FOF formula (<kernel.Constant object at 0x2b0a7e96d3b0>, <kernel.DependentProduct object at 0x2b0a7bcabbd8>) of role type named thf_const_const/iterate/polynomial_function
% 0.27/0.90 Using role type
% 0.27/0.90 Declaring const/iterate/polynomial_function:((type/realax/real->type/realax/real)->Prop)
% 0.27/0.90 FOF formula (forall (A:type/realax/real), (((eq type/realax/real) ((const/realax/real_mul (const/realax/real_of_num (const/nums/NUMERAL (const/nums/BIT1 const/nums/_0)))) A)) A)) of role axiom named thm/realax/REAL_MUL_LID_
% 0.27/0.90 A new axiom: (forall (A:type/realax/real), (((eq type/realax/real) ((const/realax/real_mul (const/realax/real_of_num (const/nums/NUMERAL (const/nums/BIT1 const/nums/_0)))) A)) A))
% 0.27/0.90 FOF formula (forall (A:type/realax/real) (A0:type/realax/real), (((eq type/realax/real) ((const/realax/real_mul (const/realax/real_neg A)) A0)) (const/realax/real_neg ((const/realax/real_mul A) A0)))) of role axiom named thm/calc_int/REAL_MUL_LNEG_
% 0.27/0.90 A new axiom: (forall (A:type/realax/real) (A0:type/realax/real), (((eq type/realax/real) ((const/realax/real_mul (const/realax/real_neg A)) A0)) (const/realax/real_neg ((const/realax/real_mul A) A0))))
% 0.27/0.90 FOF formula (forall (A:(type/realax/real->type/realax/real)) (A0:type/realax/real), ((const/iterate/polynomial_function A)->(const/iterate/polynomial_function (fun (A1:type/realax/real)=> ((const/realax/real_mul A0) (A A1)))))) of role axiom named thm/iterate/POLYNOMIAL_FUNCTION_LMUL_
% 0.27/0.90 A new axiom: (forall (A:(type/realax/real->type/realax/real)) (A0:type/realax/real), ((const/iterate/polynomial_function A)->(const/iterate/polynomial_function (fun (A1:type/realax/real)=> ((const/realax/real_mul A0) (A A1))))))
% 0.27/0.90 FOF formula (forall (A:type/realax/real), (((eq type/realax/real) (const/realax/real_neg (const/realax/real_neg A))) A)) of role axiom named thm/calc_int/REAL_NEG_NEG_
% 0.27/0.90 A new axiom: (forall (A:type/realax/real), (((eq type/realax/real) (const/realax/real_neg (const/realax/real_neg A))) A))
% 0.27/0.90 FOF formula (forall (A:(type/realax/real->type/realax/real)), (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function A))) of role conjecture named thm/iterate/POLYNOMIAL_FUNCTION_NEG_
% 3.06/3.65 Conjecture to prove = (forall (A:(type/realax/real->type/realax/real)), (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function A))):Prop
% 3.06/3.65 Parameter type/realax/real_DUMMY:type/realax/real.
% 3.06/3.65 We need to prove ['(forall (A:(type/realax/real->type/realax/real)), (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function A)))']
% 3.06/3.65 Parameter type/realax/real:Type.
% 3.06/3.65 Parameter type/nums/num:Type.
% 3.06/3.65 Parameter const/realax/real_of_num:(type/nums/num->type/realax/real).
% 3.06/3.65 Parameter const/realax/real_neg:(type/realax/real->type/realax/real).
% 3.06/3.65 Parameter const/realax/real_mul:(type/realax/real->(type/realax/real->type/realax/real)).
% 3.06/3.65 Parameter const/nums/NUMERAL:(type/nums/num->type/nums/num).
% 3.06/3.65 Parameter const/nums/BIT1:(type/nums/num->type/nums/num).
% 3.06/3.65 Parameter const/nums/_0:type/nums/num.
% 3.06/3.65 Parameter const/iterate/polynomial_function:((type/realax/real->type/realax/real)->Prop).
% 3.06/3.65 Axiom thm/realax/REAL_MUL_LID_:(forall (A:type/realax/real), (((eq type/realax/real) ((const/realax/real_mul (const/realax/real_of_num (const/nums/NUMERAL (const/nums/BIT1 const/nums/_0)))) A)) A)).
% 3.06/3.65 Axiom thm/calc_int/REAL_MUL_LNEG_:(forall (A:type/realax/real) (A0:type/realax/real), (((eq type/realax/real) ((const/realax/real_mul (const/realax/real_neg A)) A0)) (const/realax/real_neg ((const/realax/real_mul A) A0)))).
% 3.06/3.65 Axiom thm/iterate/POLYNOMIAL_FUNCTION_LMUL_:(forall (A:(type/realax/real->type/realax/real)) (A0:type/realax/real), ((const/iterate/polynomial_function A)->(const/iterate/polynomial_function (fun (A1:type/realax/real)=> ((const/realax/real_mul A0) (A A1)))))).
% 3.06/3.65 Axiom thm/calc_int/REAL_NEG_NEG_:(forall (A:type/realax/real), (((eq type/realax/real) (const/realax/real_neg (const/realax/real_neg A))) A)).
% 3.06/3.65 Trying to prove (forall (A:(type/realax/real->type/realax/real)), (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function A)))
% 3.06/3.65 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))->(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 3.06/3.65 Found (eq_ref00 P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 3.06/3.65 Found ((eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 3.06/3.65 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 3.06/3.65 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 3.06/3.65 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))):(((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 3.06/3.65 Found (eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 3.06/3.65 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 3.06/3.65 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 11.53/12.13 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 11.53/12.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 11.53/12.13 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 11.53/12.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 11.53/12.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 11.53/12.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 11.53/12.13 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))->(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found (eq_ref00 P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found ((eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))->(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found (eq_ref00 P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found ((eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))->(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 11.53/12.13 Found (eq_ref00 P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 11.53/12.13 Found ((eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 11.53/12.13 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 11.53/12.13 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 11.53/12.13 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 19.03/19.64 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 19.03/19.64 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 19.03/19.64 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 19.03/19.64 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 19.03/19.64 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 19.03/19.64 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 19.03/19.64 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 19.03/19.64 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 19.03/19.64 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 19.03/19.64 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 19.03/19.64 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (P (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 19.03/19.64 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (P (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 19.03/19.64 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (P (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 19.03/19.64 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found (eq_ref00 P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found ((eq_ref0 (const/iterate/polynomial_function A)) P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found (eq_ref00 P) as proof of (P0 (const/iterate/polynomial_function A))
% 19.03/19.64 Found ((eq_ref0 (const/iterate/polynomial_function A)) P) as proof of (P0 (const/iterate/polynomial_function A))
% 19.03/19.64 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (const/iterate/polynomial_function A))
% 19.03/19.64 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (const/iterate/polynomial_function A))
% 19.03/19.64 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found (eq_ref00 P) as proof of (P0 ((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A))))
% 19.03/19.64 Found ((eq_ref0 (const/iterate/polynomial_function A)) P) as proof of (P0 ((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A))))
% 19.03/19.64 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 ((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A))))
% 19.03/19.64 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 ((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A))))
% 19.03/19.64 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found (eq_ref00 P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found ((eq_ref0 (const/iterate/polynomial_function A)) P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 19.03/19.64 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 58.58/59.12 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (P (const/iterate/polynomial_function A)))
% 58.58/59.12 Found eq_ref00:=(eq_ref0 b):(((eq (type/realax/real->type/realax/real)) b) b)
% 58.58/59.12 Found (eq_ref0 b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found eq_ref00:=(eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))):(((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 58.58/59.12 Found (eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found eq_ref00:=(eq_ref0 b):(((eq (type/realax/real->type/realax/real)) b) b)
% 58.58/59.12 Found (eq_ref0 b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 58.58/59.12 Found eq_ref00:=(eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))):(((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 58.58/59.12 Found (eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 58.58/59.12 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 58.58/59.12 Found (eq_ref00 P) as proof of (P0 A)
% 58.58/59.12 Found ((eq_ref0 A) P) as proof of (P0 A)
% 58.58/59.12 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 58.58/59.12 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 58.58/59.12 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 58.58/59.12 Found (eq_ref00 P) as proof of (P0 A)
% 58.58/59.12 Found ((eq_ref0 A) P) as proof of (P0 A)
% 58.58/59.12 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 58.58/59.12 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 58.58/59.12 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eq_ref000:=(eq_ref00 P):((P A)->(P A))
% 81.15/81.71 Found (eq_ref00 P) as proof of (P0 A)
% 81.15/81.71 Found ((eq_ref0 A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found (((eq_ref (type/realax/real->type/realax/real)) A) P) as proof of (P0 A)
% 81.15/81.71 Found eta_expansion000:=(eta_expansion00 A):(((eq (type/realax/real->type/realax/real)) A) (fun (x:type/realax/real)=> (A x)))
% 81.15/81.71 Found (eta_expansion00 A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 81.15/81.71 Found ((eta_expansion0 type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 81.15/81.71 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 81.15/81.71 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 81.15/81.71 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 81.15/81.71 Found eta_expansion000:=(eta_expansion00 b):(((eq (type/realax/real->type/realax/real)) b) (fun (x:type/realax/real)=> (b x)))
% 81.15/81.71 Found (eta_expansion00 b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 81.15/81.71 Found ((eta_expansion0 type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 81.15/81.71 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 81.15/81.71 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 81.15/81.71 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 81.15/81.71 Found eta_expansion_dep000:=(eta_expansion_dep00 A):(((eq (type/realax/real->type/realax/real)) A) (fun (x:type/realax/real)=> (A x)))
% 81.15/81.71 Found (eta_expansion_dep00 A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found ((eta_expansion_dep0 (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found eta_expansion000:=(eta_expansion00 b):(((eq (type/realax/real->type/realax/real)) b) (fun (x:type/realax/real)=> (b x)))
% 91.36/91.93 Found (eta_expansion00 b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found ((eta_expansion0 type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found eta_expansion_dep000:=(eta_expansion_dep00 A):(((eq (type/realax/real->type/realax/real)) A) (fun (x:type/realax/real)=> (A x)))
% 91.36/91.93 Found (eta_expansion_dep00 A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found ((eta_expansion_dep0 (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 91.36/91.93 Found eta_expansion000:=(eta_expansion00 b):(((eq (type/realax/real->type/realax/real)) b) (fun (x:type/realax/real)=> (b x)))
% 91.36/91.93 Found (eta_expansion00 b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found ((eta_expansion0 type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found (((eta_expansion type/realax/real) type/realax/real) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (type/realax/real->type/realax/real)) b) (fun (x:type/realax/real)=> (b x)))
% 91.36/91.93 Found (eta_expansion_dep00 b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found ((eta_expansion_dep0 (fun (x1:type/realax/real)=> type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 91.36/91.93 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 99.01/99.54 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 99.01/99.54 Found (((eta_expansion_dep type/realax/real) (fun (x1:type/realax/real)=> type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 99.01/99.54 Found eta_expansion000:=(eta_expansion00 A):(((eq (type/realax/real->type/realax/real)) A) (fun (x:type/realax/real)=> (A x)))
% 99.01/99.54 Found (eta_expansion00 A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 99.01/99.54 Found ((eta_expansion0 type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 99.01/99.54 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 99.01/99.54 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 99.01/99.54 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 99.01/99.54 Found eq_ref00:=(eq_ref0 (const/realax/real_neg (A x))):(((eq type/realax/real) (const/realax/real_neg (A x))) (const/realax/real_neg (A x)))
% 99.01/99.54 Found (eq_ref0 (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 99.01/99.54 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found eq_ref00:=(eq_ref0 (const/realax/real_neg (A x))):(((eq type/realax/real) (const/realax/real_neg (A x))) (const/realax/real_neg (A x)))
% 99.01/99.54 Found (eq_ref0 (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 99.01/99.54 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 99.01/99.54 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 99.01/99.54 Found x:(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 99.01/99.54 Instantiate: b:=(const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))):Prop
% 99.01/99.54 Found x as proof of (P0 b)
% 99.01/99.54 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 99.01/99.54 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 99.01/99.54 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 99.01/99.54 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 99.01/99.54 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 125.88/126.40 Found eq_ref00:=(eq_ref0 (const/realax/real_neg (A x))):(((eq type/realax/real) (const/realax/real_neg (A x))) (const/realax/real_neg (A x)))
% 125.88/126.40 Found (eq_ref0 (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 125.88/126.40 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found eq_ref00:=(eq_ref0 (const/realax/real_neg (A x))):(((eq type/realax/real) (const/realax/real_neg (A x))) (const/realax/real_neg (A x)))
% 125.88/126.40 Found (eq_ref0 (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found ((eq_ref type/realax/real) (const/realax/real_neg (A x))) as proof of (((eq type/realax/real) (const/realax/real_neg (A x))) b)
% 125.88/126.40 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 125.88/126.40 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (A x))
% 125.88/126.40 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))):(((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 125.88/126.40 Found (eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 125.88/126.40 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 125.88/126.40 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 125.88/126.40 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 125.88/126.40 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 125.88/126.40 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 125.88/126.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 125.88/126.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 125.88/126.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 125.88/126.40 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))->(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))))
% 125.88/126.40 Found (eq_ref00 P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 166.08/166.57 Found ((eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 166.08/166.57 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 166.08/166.57 Found (((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) P) as proof of (P0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 166.08/166.57 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))):(((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 166.08/166.57 Found (eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 166.08/166.57 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 166.08/166.57 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 166.08/166.57 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 166.08/166.57 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 166.08/166.57 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 166.08/166.57 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 166.08/166.57 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 166.08/166.57 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function A))
% 166.08/166.57 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 166.08/166.57 Found (eq_ref00 P) as proof of (P0 (A x))
% 166.08/166.57 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 166.08/166.57 Found (eq_ref00 P) as proof of (P0 (A x))
% 166.08/166.57 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 166.08/166.57 Found (eq_ref00 P) as proof of (P0 (A x))
% 166.08/166.57 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 166.08/166.57 Found (eq_ref00 P) as proof of (P0 (A x))
% 166.08/166.57 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 166.08/166.57 Found x:(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 166.08/166.57 Instantiate: a:=(fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))):(type/realax/real->type/realax/real)
% 166.08/166.57 Found x as proof of (P0 (const/iterate/polynomial_function a))
% 166.08/166.57 Found eq_ref00:=(eq_ref0 a):(((eq (type/realax/real->type/realax/real)) a) a)
% 166.08/166.57 Found (eq_ref0 a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 166.08/166.57 Found ((eq_ref (type/realax/real->type/realax/real)) a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 186.56/187.07 Found ((eq_ref (type/realax/real->type/realax/real)) a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 186.56/187.07 Found ((eq_ref (type/realax/real->type/realax/real)) a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 186.56/187.07 Found x:(P (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 186.56/187.07 Instantiate: a:=(fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))):(type/realax/real->type/realax/real)
% 186.56/187.07 Found x as proof of (P0 (P (const/iterate/polynomial_function a)))
% 186.56/187.07 Found eq_ref00:=(eq_ref0 a):(((eq (type/realax/real->type/realax/real)) a) a)
% 186.56/187.07 Found (eq_ref0 a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 186.56/187.07 Found ((eq_ref (type/realax/real->type/realax/real)) a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 186.56/187.07 Found ((eq_ref (type/realax/real->type/realax/real)) a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 186.56/187.07 Found ((eq_ref (type/realax/real->type/realax/real)) a) as proof of (((eq (type/realax/real->type/realax/real)) a) A)
% 186.56/187.07 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 186.56/187.07 Found (eq_ref0 b) as proof of (P b)
% 186.56/187.07 Found ((eq_ref Prop) b) as proof of (P b)
% 186.56/187.07 Found ((eq_ref Prop) b) as proof of (P b)
% 186.56/187.07 Found ((eq_ref Prop) b) as proof of (P b)
% 186.56/187.07 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 186.56/187.07 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 186.56/187.07 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 186.56/187.07 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 186.56/187.07 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 186.56/187.07 Found x:(P (const/iterate/polynomial_function A))
% 186.56/187.07 Instantiate: b:=(const/iterate/polynomial_function A):Prop
% 186.56/187.07 Found x as proof of (P0 b)
% 186.56/187.07 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))):(((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 186.56/187.07 Found (eq_ref0 (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 186.56/187.07 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 186.56/187.07 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 186.56/187.07 Found ((eq_ref Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) as proof of (((eq Prop) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))) b)
% 186.56/187.07 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 186.56/187.07 Found (eq_ref00 P) as proof of (P0 (A x))
% 186.56/187.07 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 186.56/187.07 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 186.56/187.07 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 186.56/187.07 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 186.56/187.07 Found (eq_ref00 P) as proof of (P0 (A x))
% 186.56/187.07 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 186.56/187.07 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 186.56/187.07 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 186.56/187.07 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 186.56/187.07 Found (eq_ref00 P) as proof of (P0 (A x))
% 186.56/187.07 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 224.29/224.80 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 224.29/224.80 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 224.29/224.80 Found eq_ref000:=(eq_ref00 P):((P (A x))->(P (A x)))
% 224.29/224.80 Found (eq_ref00 P) as proof of (P0 (A x))
% 224.29/224.80 Found ((eq_ref0 (A x)) P) as proof of (P0 (A x))
% 224.29/224.80 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 224.29/224.80 Found (((eq_ref type/realax/real) (A x)) P) as proof of (P0 (A x))
% 224.29/224.80 Found eq_ref00:=(eq_ref0 b):(((eq (type/realax/real->type/realax/real)) b) b)
% 224.29/224.80 Found (eq_ref0 b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found eq_ref00:=(eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))):(((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 224.29/224.80 Found (eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 224.29/224.80 Found (eq_ref00 P) as proof of (P0 b)
% 224.29/224.80 Found ((eq_ref0 b) P) as proof of (P0 b)
% 224.29/224.80 Found (((eq_ref Prop) b) P) as proof of (P0 b)
% 224.29/224.80 Found (((eq_ref Prop) b) P) as proof of (P0 b)
% 224.29/224.80 Found eq_ref00:=(eq_ref0 b):(((eq (type/realax/real->type/realax/real)) b) b)
% 224.29/224.80 Found (eq_ref0 b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) b) as proof of (((eq (type/realax/real->type/realax/real)) b) A)
% 224.29/224.80 Found eq_ref00:=(eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))):(((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 224.29/224.80 Found (eq_ref0 (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found ((eq_ref (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) as proof of (((eq (type/realax/real->type/realax/real)) (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))) b)
% 224.29/224.80 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 224.29/224.80 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 229.33/229.84 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 229.33/229.84 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 229.33/229.84 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 229.33/229.84 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 229.33/229.84 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 229.33/229.84 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 229.33/229.84 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 229.33/229.84 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 229.33/229.84 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 229.33/229.84 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 229.33/229.84 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 244.56/245.08 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 244.56/245.08 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 244.56/245.08 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 244.56/245.08 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 244.56/245.08 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 244.56/245.08 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 244.56/245.08 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 244.56/245.08 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 244.56/245.08 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 244.56/245.08 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 244.56/245.08 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 244.56/245.08 Found x:(P (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 244.56/245.08 Instantiate: b:=(fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))):(type/realax/real->type/realax/real)
% 244.56/245.08 Found x as proof of (P0 b)
% 244.56/245.08 Found eta_expansion000:=(eta_expansion00 A):(((eq (type/realax/real->type/realax/real)) A) (fun (x:type/realax/real)=> (A x)))
% 244.56/245.08 Found (eta_expansion00 A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 244.56/245.08 Found ((eta_expansion0 type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 244.56/245.08 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 244.56/245.08 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 244.56/245.08 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 244.56/245.08 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 244.56/245.08 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 244.56/245.08 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 244.56/245.08 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 244.56/245.08 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 244.56/245.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.56/245.08 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 244.56/245.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 244.56/245.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 244.56/245.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 244.56/245.08 Found eq_ref000:=(eq_ref00 P):((P (const/iterate/polynomial_function A))->(P (const/iterate/polynomial_function A)))
% 244.56/245.08 Found (eq_ref00 P) as proof of (P0 (const/iterate/polynomial_function A))
% 244.56/245.08 Found ((eq_ref0 (const/iterate/polynomial_function A)) P) as proof of (P0 (const/iterate/polynomial_function A))
% 244.56/245.08 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (const/iterate/polynomial_function A))
% 244.56/245.08 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P) as proof of (P0 (const/iterate/polynomial_function A))
% 244.56/245.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.56/245.08 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 244.56/245.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 244.56/245.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 253.55/254.05 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 253.55/254.05 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 253.55/254.05 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 253.55/254.05 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (((eq Prop) (const/iterate/polynomial_function A)) b)
% 253.55/254.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 253.55/254.05 Found (eq_ref0 b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (const/iterate/polynomial_function (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0)))))
% 253.55/254.05 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 253.55/254.05 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 253.55/254.05 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 253.55/254.05 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 253.55/254.05 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 253.55/254.05 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 253.55/254.05 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 253.55/254.05 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 256.22/256.70 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 256.22/256.70 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 256.22/256.70 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 256.22/256.70 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 256.22/256.70 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 256.22/256.70 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 256.22/256.70 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 256.22/256.70 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 256.22/256.70 Found eq_ref00:=(eq_ref0 b):(((eq type/realax/real) b) b)
% 256.22/256.70 Found (eq_ref0 b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 256.22/256.70 Found ((eq_ref type/realax/real) b) as proof of (((eq type/realax/real) b) (const/realax/real_neg (A x)))
% 293.31/293.83 Found eq_ref00:=(eq_ref0 (A x)):(((eq type/realax/real) (A x)) (A x))
% 293.31/293.83 Found (eq_ref0 (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 293.31/293.83 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 293.31/293.83 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 293.31/293.83 Found ((eq_ref type/realax/real) (A x)) as proof of (((eq type/realax/real) (A x)) b)
% 293.31/293.83 Found x:(P (fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))))
% 293.31/293.83 Instantiate: b:=(fun (A0:type/realax/real)=> (const/realax/real_neg (A A0))):(type/realax/real->type/realax/real)
% 293.31/293.83 Found x as proof of (P0 b)
% 293.31/293.83 Found eta_expansion000:=(eta_expansion00 A):(((eq (type/realax/real->type/realax/real)) A) (fun (x:type/realax/real)=> (A x)))
% 293.31/293.83 Found (eta_expansion00 A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 293.31/293.83 Found ((eta_expansion0 type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 293.31/293.83 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 293.31/293.83 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 293.31/293.83 Found (((eta_expansion type/realax/real) type/realax/real) A) as proof of (((eq (type/realax/real->type/realax/real)) A) b)
% 293.31/293.83 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 293.31/293.83 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (P1 (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 293.31/293.83 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (P1 (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 293.31/293.83 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (P1 (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 293.31/293.83 Found eq_ref00:=(eq_ref0 (const/iterate/polynomial_function A)):(((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A))
% 293.31/293.83 Found (eq_ref0 (const/iterate/polynomial_function A)) as proof of (P1 (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 293.31/293.83 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (P1 (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 293.31/293.83 Found ((eq_ref Prop) (const/iterate/polynomial_function A)) as proof of (P1 (((eq Prop) (const/iterate/polynomial_function A)) (const/iterate/polynomial_function A)))
% 293.31/293.83 Found eq_ref000:=(eq_ref00 P1):((P1 (const/iterate/polynomial_function A))->(P1 (const/iterate/polynomial_function A)))
% 293.31/293.83 Found (eq_ref00 P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found ((eq_ref0 (const/iterate/polynomial_function A)) P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found eq_ref000:=(eq_ref00 P1):((P1 (const/iterate/polynomial_function A))->(P1 (const/iterate/polynomial_function A)))
% 293.31/293.83 Found (eq_ref00 P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found ((eq_ref0 (const/iterate/polynomial_function A)) P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found (((eq_ref Prop) (const/iterate/polynomial_function A)) P1) as proof of (P2 (const/iterate/polynomial_function A))
% 293.31/293.83 Found eq_ref000:=(eq_ref00 P1):((P1 (const/iterate/polynomial_function A))->(P1 (const/iterate/polynomial_function A)))
% 293.31/293.83 Found (eq_ref00 P1) as proof of (P2 (P1 (const/iterate/polynomial_function A)))
% 293.31/293.83 Found ((eq_ref0 (const/iterate/polynomial_function A)) P1) as proof of (P2 (P1 (const/iterate/polynomial_function A)))
% 293.31/293.83 Found (((e
%------------------------------------------------------------------------------