TSTP Solution File: PHI005^4 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : PHI005^4 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:08:33 EDT 2016
% Result : Timeout 298.15s
% 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 : PHI005^4 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n001.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 : 16091.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Mar 25 13:57:12 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.08/0.39 Python 2.7.8
% 0.32/0.86 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.32/0.86 FOF formula (<kernel.Constant object at 0x2b533cb23d40>, <kernel.Type object at 0x2b533abca050>) of role type named ty_n_t__QML____S5U__O__092__060mu__062
% 0.32/0.86 Using role type
% 0.32/0.86 Declaring qML_mu:Type
% 0.32/0.86 FOF formula (<kernel.Constant object at 0x2b533cb23638>, <kernel.Type object at 0x2b533abca0e0>) of role type named ty_n_t__QML____S5U__Oi
% 0.32/0.86 Using role type
% 0.32/0.86 Declaring qML_i:Type
% 0.32/0.86 FOF formula (<kernel.Constant object at 0x2b53328f2a28>, <kernel.DependentProduct object at 0x2b533abca200>) of role type named sy_c_Scott__S5U_OG
% 0.32/0.86 Using role type
% 0.32/0.86 Declaring scott_G:(qML_mu->(qML_i->Prop))
% 0.32/0.86 FOF formula (<kernel.Constant object at 0x2b53328f2a28>, <kernel.DependentProduct object at 0x2b533abca2d8>) of role type named sy_c_Scott__S5U_ONE_001t__QML____S5U__O__092__060mu__062
% 0.32/0.86 Using role type
% 0.32/0.86 Declaring scott_NE_QML_mu:(qML_mu->(qML_i->Prop))
% 0.32/0.86 FOF formula (<kernel.Constant object at 0x2b533abca050>, <kernel.DependentProduct object at 0x2b533abca3b0>) of role type named sy_c_Scott__S5U_OP
% 0.32/0.86 Using role type
% 0.32/0.86 Declaring scott_P:((qML_mu->(qML_i->Prop))->(qML_i->Prop))
% 0.32/0.86 FOF formula (<kernel.Constant object at 0x2b533abca2d8>, <kernel.DependentProduct object at 0x2b533abca200>) of role type named sy_c_Scott__S5U_Oess_001t__QML____S5U__O__092__060mu__062
% 0.32/0.86 Using role type
% 0.32/0.86 Declaring scott_ess_QML_mu:((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))
% 0.32/0.86 FOF formula (((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))) of role axiom named fact_0_G__def
% 0.32/0.86 A new axiom: (((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W)))))
% 0.32/0.86 FOF formula (forall (X_1:qML_i), ((scott_P scott_G) X_1)) of role axiom named fact_1_A3
% 0.32/0.86 A new axiom: (forall (X_1:qML_i), ((scott_P scott_G) X_1))
% 0.32/0.86 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P X2) W2)->(forall (X_1:qML_i), ((scott_P X2) X_1)))) of role axiom named fact_2_A4
% 0.32/0.86 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P X2) W2)->(forall (X_1:qML_i), ((scott_P X2) X_1))))
% 0.32/0.86 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), ((((scott_P X2) W2)->False)->((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))) of role axiom named fact_3_A1b
% 0.32/0.86 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), ((((scott_P X2) W2)->False)->((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)))
% 0.32/0.86 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((scott_P X2) W2)) (forall (V:qML_i) (Xb:qML_mu), (((X2 Xb) V)->((Xa Xb) V))))->((scott_P Xa) W2))) of role axiom named fact_4_A2
% 0.32/0.86 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((scott_P X2) W2)) (forall (V:qML_i) (Xb:qML_mu), (((X2 Xb) V)->((Xa Xb) V))))->((scott_P Xa) W2)))
% 0.32/0.86 FOF formula (forall (X_1:qML_i), ((scott_P scott_NE_QML_mu) X_1)) of role axiom named fact_5_A5
% 0.32/0.86 A new axiom: (forall (X_1:qML_i), ((scott_P scott_NE_QML_mu) X_1))
% 0.32/0.86 FOF formula (((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2)))))))) of role axiom named fact_6_ess__def
% 0.32/0.86 A new axiom: (((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2))))))))
% 0.32/0.86 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->(((scott_P X2) W2)->False))) of role axiom named fact_7_A1a
% 0.32/0.86 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->(((scott_P X2) W2)->False)))
% 0.32/0.86 FOF formula (((eq (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) of role axiom named fact_8_NE__def
% 4.23/4.79 A new axiom: (((eq (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2))))))))
% 4.23/4.79 FOF formula (qML_i->(forall (V:qML_i), ((ex qML_mu) (fun (X2:qML_mu)=> ((scott_G X2) V))))) of role conjecture named conj_0
% 4.23/4.79 Conjecture to prove = (qML_i->(forall (V:qML_i), ((ex qML_mu) (fun (X2:qML_mu)=> ((scott_G X2) V))))):Prop
% 4.23/4.79 Parameter qML_mu_DUMMY:qML_mu.
% 4.23/4.79 Parameter qML_i_DUMMY:qML_i.
% 4.23/4.79 We need to prove ['(qML_i->(forall (V:qML_i), ((ex qML_mu) (fun (X2:qML_mu)=> ((scott_G X2) V)))))']
% 4.23/4.79 Parameter qML_mu:Type.
% 4.23/4.79 Parameter qML_i:Type.
% 4.23/4.79 Parameter scott_G:(qML_mu->(qML_i->Prop)).
% 4.23/4.79 Parameter scott_NE_QML_mu:(qML_mu->(qML_i->Prop)).
% 4.23/4.79 Parameter scott_P:((qML_mu->(qML_i->Prop))->(qML_i->Prop)).
% 4.23/4.79 Parameter scott_ess_QML_mu:((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop))).
% 4.23/4.79 Axiom fact_0_G__def:(((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))).
% 4.23/4.79 Axiom fact_1_A3:(forall (X_1:qML_i), ((scott_P scott_G) X_1)).
% 4.23/4.79 Axiom fact_2_A4:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P X2) W2)->(forall (X_1:qML_i), ((scott_P X2) X_1)))).
% 4.23/4.79 Axiom fact_3_A1b:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), ((((scott_P X2) W2)->False)->((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))).
% 4.23/4.79 Axiom fact_4_A2:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((scott_P X2) W2)) (forall (V:qML_i) (Xb:qML_mu), (((X2 Xb) V)->((Xa Xb) V))))->((scott_P Xa) W2))).
% 4.23/4.79 Axiom fact_5_A5:(forall (X_1:qML_i), ((scott_P scott_NE_QML_mu) X_1)).
% 4.23/4.79 Axiom fact_6_ess__def:(((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2)))))))).
% 4.23/4.79 Axiom fact_7_A1a:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->(((scott_P X2) W2)->False))).
% 4.23/4.79 Axiom fact_8_NE__def:(((eq (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))).
% 4.23/4.79 Trying to prove (qML_i->(forall (V:qML_i), ((ex qML_mu) (fun (X2:qML_mu)=> ((scott_G X2) V)))))
% 4.23/4.79 Found eq_ref00:=(eq_ref0 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 4.23/4.79 Found (eq_ref0 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 4.23/4.79 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 4.23/4.79 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 4.23/4.79 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 4.23/4.79 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 5.78/6.34 Found (eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 5.78/6.34 Found (eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b)
% 5.78/6.34 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 5.78/6.34 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 5.78/6.34 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 5.78/6.34 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 5.78/6.34 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 5.78/6.34 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 5.78/6.34 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 5.78/6.34 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 12.10/12.63 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 12.10/12.63 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 12.10/12.63 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 12.10/12.63 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 12.10/12.63 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 12.10/12.63 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 12.10/12.63 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 12.10/12.63 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V))))
% 12.10/12.63 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 12.10/12.63 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 12.10/12.63 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 12.10/12.63 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 12.10/12.63 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 12.10/12.63 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 12.10/12.63 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 12.10/12.63 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 12.10/12.63 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 12.10/12.63 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 13.96/14.50 Found (eta_expansion_dep00 b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 13.96/14.50 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found eq_ref00:=(eq_ref0 b):(((eq (qML_mu->Prop)) b) b)
% 13.96/14.50 Found (eq_ref0 b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 13.96/14.50 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 13.96/14.50 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 13.96/14.50 Found (eta_expansion_dep00 b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 13.96/14.50 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 13.96/14.50 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 38.47/38.98 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 38.47/38.98 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 38.47/38.98 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 38.47/38.98 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 38.47/38.98 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 38.47/38.98 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 38.47/38.98 Found (eq_ref0 b) as proof of (((eq qML_i) b) V)
% 38.47/38.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 38.47/38.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 38.47/38.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 38.47/38.98 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 38.47/38.98 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 38.47/38.98 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 38.47/38.98 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 38.47/38.98 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 38.47/38.98 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 38.47/38.98 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 38.47/38.98 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 38.47/38.98 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 38.47/38.98 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 38.47/38.98 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 41.81/42.32 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 41.81/42.32 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 41.81/42.32 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 41.81/42.32 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 41.81/42.32 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 41.81/42.32 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 41.81/42.32 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 41.81/42.32 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 41.81/42.32 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found eta_expansion000:=(eta_expansion00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 41.81/42.32 Found (eta_expansion00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eta_expansion0 Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion qML_mu) Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion qML_mu) Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion qML_mu) Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 41.81/42.32 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 41.81/42.32 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 41.81/42.32 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 41.81/42.32 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 45.46/45.98 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 45.46/45.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 45.46/45.98 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 50.59/51.10 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 50.59/51.10 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 50.59/51.10 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 50.59/51.10 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 50.59/51.10 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 50.59/51.10 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 50.59/51.10 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 50.59/51.10 Found (eq_ref0 b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 50.59/51.10 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 50.59/51.10 Found (eq_ref0 b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 50.59/51.10 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 50.59/51.10 Found (eq_ref0 b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V)
% 50.59/51.10 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 50.59/51.10 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 50.59/51.10 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 50.59/51.10 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 50.59/51.10 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 50.59/51.10 Found (eta_expansion_dep00 b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 50.59/51.10 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 54.97/55.46 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 54.97/55.46 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 54.97/55.46 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 54.97/55.46 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 54.97/55.46 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 56.68/57.17 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 56.68/57.17 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 56.68/57.17 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 56.68/57.17 Found eta_expansion000:=(eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 56.68/57.17 Found (eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found ((eta_expansion0 Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found eta_expansion000:=(eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 56.68/57.17 Found (eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found ((eta_expansion0 Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 56.68/57.17 Found (eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 56.68/57.17 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 81.05/81.53 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 81.05/81.53 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 81.05/81.53 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 81.05/81.53 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 81.05/81.53 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 81.05/81.53 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 81.05/81.53 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 81.05/81.53 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 81.05/81.53 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 85.20/85.69 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 85.20/85.69 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 85.20/85.69 Found (eta_expansion_dep00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found eta_expansion000:=(eta_expansion00 f):(((eq (qML_mu->Prop)) f) (fun (x:qML_mu)=> (f x)))
% 85.20/85.69 Found (eta_expansion00 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eta_expansion0 Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found (((eta_expansion qML_mu) Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found (((eta_expansion qML_mu) Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found (((eta_expansion qML_mu) Prop) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found eq_ref00:=(eq_ref0 f):(((eq (qML_mu->Prop)) f) f)
% 85.20/85.69 Found (eq_ref0 f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found ((eq_ref (qML_mu->Prop)) f) as proof of (((eq (qML_mu->Prop)) f) b)
% 85.20/85.69 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 85.20/85.69 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 85.20/85.69 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 85.20/85.69 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 85.20/85.69 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 85.20/85.69 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 85.20/85.69 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 85.20/85.69 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 85.20/85.69 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 85.20/85.69 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 85.20/85.69 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 93.01/93.50 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 93.01/93.50 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 93.01/93.50 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 93.01/93.50 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 93.01/93.50 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 93.01/93.50 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 93.01/93.50 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 93.01/93.50 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 93.01/93.50 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 93.01/93.50 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found eq_ref00:=(eq_ref0 b):(((eq (qML_mu->Prop)) b) b)
% 93.01/93.50 Found (eq_ref0 b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 93.01/93.50 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 98.46/98.97 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 98.46/98.97 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 98.46/98.97 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 98.46/98.97 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 98.46/98.97 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) b0)
% 98.46/98.97 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.97 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.97 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.97 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.97 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.97 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 98.46/98.97 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.97 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 98.46/98.98 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.98 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 98.46/98.98 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.98 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 98.46/98.98 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.98 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 98.46/98.98 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.98 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 98.46/98.98 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.98 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 98.46/98.98 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 98.46/98.98 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 98.46/98.98 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 124.21/124.75 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 124.21/124.75 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 124.21/124.75 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 124.21/124.75 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 124.21/124.75 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 124.21/124.75 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 124.21/124.75 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 124.21/124.75 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f x))
% 124.21/124.75 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:qML_mu), (((eq Prop) (f0 x)) (f x)))
% 124.21/124.75 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 124.21/124.75 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 124.21/124.75 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 124.21/124.75 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 124.21/124.75 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 124.21/124.75 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 134.66/135.14 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 134.66/135.14 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 134.66/135.14 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 134.66/135.14 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 134.66/135.14 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 134.66/135.14 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 134.66/135.14 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 134.66/135.14 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 134.66/135.14 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 134.66/135.14 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 134.66/135.14 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 134.66/135.14 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 134.66/135.14 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 134.66/135.14 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 139.31/139.79 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 139.31/139.79 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 139.31/139.79 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 139.31/139.79 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 139.31/139.79 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 139.31/139.79 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 139.31/139.79 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 139.31/139.79 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 139.31/139.79 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 139.31/139.79 Found eta_expansion000:=(eta_expansion00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 139.31/139.79 Found (eta_expansion00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found ((eta_expansion0 Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 139.31/139.79 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 139.31/139.79 Found (eta_expansion_dep00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 139.31/139.79 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found eq_ref00:=(eq_ref0 b0):(((eq (qML_mu->Prop)) b0) b0)
% 139.31/139.79 Found (eq_ref0 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 139.31/139.79 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 139.31/139.79 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 139.31/139.79 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 139.31/139.79 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 139.31/139.79 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 142.50/143.01 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 142.50/143.01 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 142.50/143.01 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 147.72/148.18 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 147.72/148.18 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 147.72/148.18 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 147.72/148.18 Found eq_ref00:=(eq_ref0 b0):(((eq (qML_mu->Prop)) b0) b0)
% 147.72/148.18 Found (eq_ref0 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 147.72/148.18 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found eta_expansion000:=(eta_expansion00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 147.72/148.18 Found (eta_expansion00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found ((eta_expansion0 Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 147.72/148.18 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 147.72/148.18 Found (eta_expansion_dep00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 147.72/148.18 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 147.72/148.18 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 147.72/148.18 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 147.72/148.18 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 147.72/148.18 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 147.72/148.18 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 147.72/148.18 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 147.72/148.18 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 147.72/148.18 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 147.72/148.18 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 147.72/148.18 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 147.72/148.18 Found eq_ref00:=(eq_ref0 b):(((eq (qML_mu->Prop)) b) b)
% 147.72/148.18 Found (eq_ref0 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 152.20/152.68 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 152.20/152.68 Found (eta_expansion_dep00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 152.20/152.68 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 152.20/152.68 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 152.20/152.68 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found eq_ref00:=(eq_ref0 b):(((eq (qML_mu->Prop)) b) b)
% 152.20/152.68 Found (eq_ref0 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 152.20/152.68 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 152.20/152.68 Found (eta_expansion_dep00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 152.20/152.68 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 152.20/152.68 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 152.20/152.68 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 152.20/152.68 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 156.18/156.67 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 156.18/156.67 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 156.18/156.67 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 156.18/156.67 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 156.18/156.67 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 156.18/156.67 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 156.18/156.67 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 156.18/156.67 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 156.18/156.67 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 156.18/156.67 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 156.18/156.67 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 165.28/165.82 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 165.28/165.82 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 165.28/165.82 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 165.28/165.82 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 165.28/165.82 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 165.28/165.82 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 165.28/165.82 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 165.28/165.82 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 165.28/165.82 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 165.28/165.82 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 165.28/165.82 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 170.13/170.65 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 170.13/170.65 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 170.13/170.65 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 170.13/170.65 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 170.13/170.65 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 170.13/170.65 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 170.13/170.65 Found (eq_ref0 V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 170.13/170.65 Found (eq_ref0 V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 170.13/170.65 Found (eq_ref0 V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 170.13/170.65 Found eq_ref00:=(eq_ref0 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 170.13/170.65 Found (eq_ref0 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found eq_ref00:=(eq_ref0 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V)))))
% 170.13/170.65 Found (eq_ref0 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found ((eq_ref (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 170.13/170.65 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 170.13/170.65 Found (eta_expansion_dep00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 187.81/188.28 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 187.81/188.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 187.81/188.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 187.81/188.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 187.81/188.28 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 187.81/188.28 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 187.81/188.28 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 187.81/188.28 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 187.81/188.28 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 187.81/188.28 Found (eq_ref0 V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 187.81/188.28 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 187.81/188.28 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 187.81/188.28 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 187.81/188.28 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 187.81/188.28 Found (eq_ref0 V) as proof of (((eq qML_i) V) b0)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 187.81/188.28 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 187.81/188.28 Found eta_expansion000:=(eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 188.50/189.00 Found (eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found ((eta_expansion0 Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found eta_expansion000:=(eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 188.50/189.00 Found (eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found ((eta_expansion0 Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found eta_expansion000:=(eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))):(((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) (fun (x:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y x) V)))))
% 188.50/189.00 Found (eta_expansion00 (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found ((eta_expansion0 Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 188.50/189.00 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 198.11/198.57 Found (((eta_expansion qML_mu) Prop) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) as proof of (((eq (qML_mu->Prop)) (fun (X2:qML_mu)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) V)->((Y X2) V))))) b0)
% 198.11/198.57 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 198.11/198.57 Found (eq_ref0 V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 198.11/198.57 Found (eq_ref0 V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 198.11/198.57 Found (eq_ref0 V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found ((eq_ref qML_i) V) as proof of (((eq qML_i) V) b0)
% 198.11/198.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 198.11/198.57 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 198.11/198.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 198.11/198.57 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 198.11/198.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 198.11/198.57 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 198.11/198.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 198.11/198.57 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 198.11/198.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 198.11/198.57 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (f0 x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 198.11/198.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 198.11/198.57 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 198.11/198.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 198.11/198.57 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 198.11/198.57 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 216.46/216.90 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 216.46/216.90 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 216.46/216.90 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 216.46/216.90 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found x0:(P2 (f x))
% 216.46/216.90 Instantiate: b:=f:(qML_mu->Prop)
% 216.46/216.90 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (b x))
% 216.46/216.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (b x)))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found x0:(P2 (f x))
% 216.46/216.90 Instantiate: b:=f:(qML_mu->Prop)
% 216.46/216.90 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (b x))
% 216.46/216.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (b x)))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found x0:(P2 (f x))
% 216.46/216.90 Instantiate: b:=f:(qML_mu->Prop)
% 216.46/216.90 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (b x))
% 216.46/216.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (b x)))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found x0:(P2 (f x))
% 216.46/216.90 Instantiate: b:=f:(qML_mu->Prop)
% 216.46/216.90 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (b x))
% 216.46/216.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (b x)))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found x0:(P2 (f x))
% 216.46/216.90 Instantiate: b:=f:(qML_mu->Prop)
% 216.46/216.90 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (b x))
% 216.46/216.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (b x)))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (b x))
% 216.46/216.90 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 216.46/216.90 Found x0:(P2 (f x))
% 216.46/216.90 Instantiate: b:=f:(qML_mu->Prop)
% 216.46/216.90 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (b x))
% 216.46/216.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (b x)))
% 229.92/230.39 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (b x))
% 229.92/230.39 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (b x)))
% 229.92/230.39 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 229.92/230.39 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 229.92/230.39 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 229.92/230.39 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 229.92/230.39 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 229.92/230.39 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 229.92/230.39 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 229.92/230.39 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 229.92/230.39 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 229.92/230.39 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 245.41/245.86 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 245.41/245.86 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 245.41/245.86 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 245.41/245.86 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 245.41/245.86 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 245.41/245.86 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (f0 x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 245.41/245.86 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 245.41/245.86 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 245.41/245.86 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 245.41/245.86 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 245.41/245.86 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 245.41/245.86 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 245.41/245.86 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 245.41/245.86 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 251.38/251.82 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 251.38/251.82 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 251.38/251.82 Found eta_expansion000:=(eta_expansion00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 251.38/251.82 Found (eta_expansion00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found ((eta_expansion0 Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 251.38/251.82 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found eq_ref00:=(eq_ref0 b0):(((eq (qML_mu->Prop)) b0) b0)
% 251.38/251.82 Found (eq_ref0 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 251.38/251.82 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found eq_ref00:=(eq_ref0 b0):(((eq (qML_mu->Prop)) b0) b0)
% 251.38/251.82 Found (eq_ref0 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 251.38/251.82 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 251.38/251.82 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 251.38/251.82 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 251.38/251.82 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 251.38/251.82 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 251.38/251.82 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 251.38/251.82 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 251.38/251.82 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 251.38/251.82 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 254.25/254.67 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 254.25/254.67 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 254.25/254.67 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 254.25/254.67 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 254.25/254.67 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 254.25/254.67 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 254.25/254.67 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 254.25/254.67 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 254.25/254.67 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 254.25/254.67 Found (eta_expansion_dep00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 254.25/254.67 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 254.25/254.67 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 254.25/254.67 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 254.25/254.67 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 254.25/254.67 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 254.25/254.67 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 254.25/254.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 254.25/254.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 254.25/254.67 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 260.79/261.22 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 260.79/261.22 Found eq_ref00:=(eq_ref0 (f x)):(((eq Prop) (f x)) (f x))
% 260.79/261.22 Found (eq_ref0 (f x)) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found ((eq_ref Prop) (f x)) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (((eq Prop) (f x)) (a x))
% 260.79/261.22 Found (fun (x:qML_mu)=> ((eq_ref Prop) (f x))) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (a x)))
% 260.79/261.22 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 260.79/261.22 Found (eta_expansion_dep00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 260.79/261.22 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 260.79/261.22 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found eta_expansion000:=(eta_expansion00 b0):(((eq (qML_mu->Prop)) b0) (fun (x:qML_mu)=> (b0 x)))
% 260.79/261.22 Found (eta_expansion00 b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found ((eta_expansion0 Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) b0) as proof of (((eq (qML_mu->Prop)) b0) b)
% 260.79/261.22 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 260.79/261.22 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 260.79/261.22 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b0)
% 260.79/261.22 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 260.79/261.22 Found (eta_expansion_dep00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 260.79/261.22 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 263.84/264.28 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 263.84/264.28 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 263.84/264.28 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 263.84/264.28 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 263.84/264.28 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 263.84/264.28 Found (eta_expansion_dep00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 263.84/264.28 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 263.84/264.28 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 263.84/264.28 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 263.84/264.28 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 263.84/264.28 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 269.65/270.13 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 269.65/270.13 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 269.65/270.13 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 269.65/270.13 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 269.65/270.13 Found (eta_expansion_dep00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eta_expansion_dep0 (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found (((eta_expansion_dep qML_mu) (fun (x1:qML_mu)=> Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 269.65/270.13 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 269.65/270.13 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 269.65/270.13 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 269.65/270.13 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 269.65/270.13 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 269.65/270.13 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 275.72/276.17 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 275.72/276.17 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found eta_expansion000:=(eta_expansion00 a):(((eq (qML_mu->Prop)) a) (fun (x:qML_mu)=> (a x)))
% 275.72/276.17 Found (eta_expansion00 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found ((eta_expansion0 Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 275.72/276.17 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found eta_expansion000:=(eta_expansion00 b):(((eq (qML_mu->Prop)) b) (fun (x:qML_mu)=> (b x)))
% 275.72/276.17 Found (eta_expansion00 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found ((eta_expansion0 Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found (((eta_expansion qML_mu) Prop) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found eq_ref00:=(eq_ref0 a):(((eq (qML_mu->Prop)) a) a)
% 275.72/276.17 Found (eq_ref0 a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) a) as proof of (((eq (qML_mu->Prop)) a) b)
% 275.72/276.17 Found eq_ref00:=(eq_ref0 b):(((eq (qML_mu->Prop)) b) b)
% 275.72/276.17 Found (eq_ref0 b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found ((eq_ref (qML_mu->Prop)) b) as proof of (((eq (qML_mu->Prop)) b) f)
% 275.72/276.17 Found x0:(P2 (f x))
% 275.72/276.17 Instantiate: f0:=f:(qML_mu->Prop)
% 275.72/276.17 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (f0 x))
% 275.72/276.17 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (f0 x)))
% 275.72/276.17 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (f0 x))
% 275.72/276.17 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 275.72/276.17 Found x0:(P2 (f x))
% 275.72/276.17 Instantiate: f0:=f:(qML_mu->Prop)
% 275.72/276.17 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (f0 x))
% 275.72/276.17 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (f0 x)))
% 275.72/276.17 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (f0 x))
% 275.72/276.17 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 275.72/276.17 Found x0:(P2 (f x))
% 275.72/276.17 Instantiate: f0:=f:(qML_mu->Prop)
% 275.72/276.17 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (f0 x))
% 275.72/276.17 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (f0 x)))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (f0 x))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 298.15/298.59 Found x0:(P2 (f x))
% 298.15/298.59 Instantiate: f0:=f:(qML_mu->Prop)
% 298.15/298.59 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (f0 x))
% 298.15/298.59 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (f0 x)))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (f0 x))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 298.15/298.59 Found x0:(P2 (f x))
% 298.15/298.59 Instantiate: f0:=f:(qML_mu->Prop)
% 298.15/298.59 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (f0 x))
% 298.15/298.59 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (f0 x)))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (f0 x))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 298.15/298.59 Found x0:(P2 (f x))
% 298.15/298.59 Instantiate: f0:=f:(qML_mu->Prop)
% 298.15/298.59 Found (fun (x0:(P2 (f x)))=> x0) as proof of (P2 (f0 x))
% 298.15/298.59 Found (fun (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of ((P2 (f x))->(P2 (f0 x)))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (((eq Prop) (f x)) (f0 x))
% 298.15/298.59 Found (fun (x:qML_mu) (P2:(Prop->Prop)) (x0:(P2 (f x)))=> x0) as proof of (forall (x:qML_mu), (((eq Prop) (f x)) (f0 x)))
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b0)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 x):(((eq qML_mu) x) x)
% 298.15/298.59 Found (eq_ref0 x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found ((eq_ref qML_mu) x) as proof of (((eq qML_mu) x) b)
% 298.15/298.59 Found eq_ref00:=(eq_ref0 V):(((eq qML_i) V) V)
% 298.15/298.59 Found (eq_
%------------------------------------------------------------------------------