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    member1784451990on_val : option246363373on_val > set_op597215309on_val > $o).
thf(sy_c_member_001t__Option__Ooption_It__Type__Oty_J, type,
    member_option_ty : option_ty > set_option_ty > $o).
thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J, type,
    member652041809on_val : produc515445032on_val > set_Pr723149704on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J, type,
    member184158439on_val : produc335961278on_val > set_Pr1511552798on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__List__Olist_It__String__Ochar_J_J_Mt__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J, type,
    member605104934t_char : produc1294284815t_char > set_Pr2063914181t_char > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_It__List__Olist_It__Type__Oty_J_Mt__Product____Type__Oprod_It__List__Olist_It__Value__Oval_J_Mt__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_J_J, type,
    member772747827t_char : produc81045532t_char > set_Pr685054290t_char > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J, type,
    member1296415951on_val : produc266837688on_val > set_Pr2075231726on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__Type__Oty_J_Mt__Product____Type__Oprod_It__List__Olist_It__Value__Oval_J_Mt__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_J, type,
    member1031340033t_char : produc111478616t_char > set_Pr925902648t_char > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__List__Olist_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__List__Olist_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J, type,
    member1689761872on_val : produc655058983on_val > set_Pr208351751on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__List__Olist_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__List__Olist_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__List__Olist_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__List__Olist_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_J, type,
    member1743964944on_val : produc1428501223on_val > set_Pr1301890247on_val > $o).
thf(sy_c_member_001t__Type__Oty, type,
    member_ty : ty > set_ty > $o).
thf(sy_v_C____, type,
    c : list_char).
thf(sy_v_D____, type,
    d : list_char).
thf(sy_v_E____, type,
    e : list_char > option_ty).
thf(sy_v_M____, type,
    m : list_char).
thf(sy_v_P, type,
    p : list_P1234162913t_char).
thf(sy_v_T_H____, type,
    t : ty).
thf(sy_v_T____, type,
    t2 : ty).
thf(sy_v_Ts____, type,
    ts : list_ty).
thf(sy_v_a____, type,
    a : nat).
thf(sy_v_body____, type,
    body : exp_list_char).
thf(sy_v_fs____, type,
    fs : produc1257910179t_char > option_val).
thf(sy_v_ha____, type,
    ha : nat > option2118145160on_val).
thf(sy_v_la____, type,
    la : list_char > option_val).
thf(sy_v_pns____, type,
    pns : list_list_char).
thf(sy_v_thesis____, type,
    thesis : $o).
thf(sy_v_vs____, type,
    vs : list_val).

% Relevant facts (193)
thf(fact_0_hp, axiom,
    (((hp @ (produc52622304on_val @ ha @ la) @ a) = (some_P1299442195on_val @ (produc904988266on_val @ c @ fs))))). % hp
thf(fact_1_method, axiom,
    ((method297381284t_char @ p @ c @ m @ ts @ t2 @ (produc713467969t_char @ pns @ body) @ d))). % method
thf(fact_2_wt, axiom,
    ((wTrt @ p @ ha @ e @ (call_list_char @ (val_list_char @ (addr @ a)) @ m @ (map_va1515327237t_char @ val_list_char @ vs)) @ t))). % wt
thf(fact_3_widens__refl, axiom,
    ((![P : list_P1234162913t_char, Xs : list_ty]: (list_all2_ty_ty @ (widen_917054840t_char @ P) @ Xs @ Xs)))). % widens_refl
thf(fact_4_exp_Oinject_I3_J, axiom,
    ((![X3 : val, Y3 : val]: (((val_list_char @ X3) = (val_list_char @ Y3)) = (X3 = Y3))))). % exp.inject(3)
thf(fact_5_local_Owf, axiom,
    ((wf_pro1229751607t_char @ wf_J_mdecl @ p))). % local.wf
thf(fact_6_widens__trans, axiom,
    ((![P : list_P1234162913t_char, Ss : list_ty, Ts : list_ty, Us : list_ty]: ((list_all2_ty_ty @ (widen_917054840t_char @ P) @ Ss @ Ts) => ((list_all2_ty_ty @ (widen_917054840t_char @ P) @ Ts @ Us) => (list_all2_ty_ty @ (widen_917054840t_char @ P) @ Ss @ Us)))))). % widens_trans
thf(fact_7_RedCall_Oprems_I2_J, axiom,
    ((wTrt @ p @ ha @ e @ (call_list_char @ (val_list_char @ (addr @ a)) @ m @ (map_va1515327237t_char @ val_list_char @ vs)) @ t))). % RedCall.prems(2)
thf(fact_8_RedCall_Oprems_I1_J, axiom,
    ((typeSa1777264139_sconf @ p @ e @ (produc52622304on_val @ ha @ la)))). % RedCall.prems(1)
thf(fact_9_widen__trans, axiom,
    ((![P : list_P1234162913t_char, S : ty, U : ty, T : ty]: ((widen_917054840t_char @ P @ S @ U) => ((widen_917054840t_char @ P @ U @ T) => (widen_917054840t_char @ P @ S @ T)))))). % widen_trans
thf(fact_10_widen__refl, axiom,
    ((![P : list_P1234162913t_char, T : ty]: (widen_917054840t_char @ P @ T @ T)))). % widen_refl
thf(fact_11_list__all2__eq, axiom,
    (((^[Y : list_ty]: (^[Z : list_ty]: (Y = Z))) = (list_all2_ty_ty @ (^[Y : ty]: (^[Z : ty]: (Y = Z))))))). % list_all2_eq
thf(fact_12_list__all2__mono, axiom,
    ((![P : ty > ty > $o, Xs : list_ty, Ys : list_ty, Q : ty > ty > $o]: ((list_all2_ty_ty @ P @ Xs @ Ys) => ((![Xs2 : ty, Ys2 : ty]: ((P @ Xs2 @ Ys2) => (Q @ Xs2 @ Ys2))) => (list_all2_ty_ty @ Q @ Xs @ Ys)))))). % list_all2_mono
thf(fact_13_list__all2__refl, axiom,
    ((![P : ty > ty > $o, Xs : list_ty]: ((![X : ty]: (P @ X @ X)) => (list_all2_ty_ty @ P @ Xs @ Xs))))). % list_all2_refl
thf(fact_14_list__all2__trans, axiom,
    ((![P1 : ty > ty > $o, P2 : ty > ty > $o, P3 : ty > ty > $o, As : list_ty, Bs : list_ty, Cs : list_ty]: ((![A : ty, B : ty, C : ty]: ((P1 @ A @ B) => ((P2 @ B @ C) => (P3 @ A @ C)))) => ((list_all2_ty_ty @ P1 @ As @ Bs) => ((list_all2_ty_ty @ P2 @ Bs @ Cs) => (list_all2_ty_ty @ P3 @ As @ Cs))))))). % list_all2_trans
thf(fact_15_exp_Oinject_I9_J, axiom,
    ((![X91 : exp_list_char, X92 : list_char, X93 : list_exp_list_char, Y91 : exp_list_char, Y92 : list_char, Y93 : list_exp_list_char]: (((call_list_char @ X91 @ X92 @ X93) = (call_list_char @ Y91 @ Y92 @ Y93)) = (((X91 = Y91)) & ((((X92 = Y92)) & ((X93 = Y93))))))))). % exp.inject(9)
thf(fact_16_sees__method__fun, axiom,
    ((![P : list_P1234162913t_char, C2 : list_char, M : list_char, TS : list_ty, T : ty, M2 : produc1294284815t_char, D : list_char, TS2 : list_ty, T2 : ty, M3 : produc1294284815t_char, D2 : list_char]: ((method297381284t_char @ P @ C2 @ M @ TS @ T @ M2 @ D) => ((method297381284t_char @ P @ C2 @ M @ TS2 @ T2 @ M3 @ D2) => ((TS2 = TS) & ((T2 = T) & ((M3 = M2) & (D2 = D))))))))). % sees_method_fun
thf(fact_17_sees__method__idemp, axiom,
    ((![P : list_P1234162913t_char, C2 : list_char, M : list_char, Ts : list_ty, T : ty, M2 : produc1294284815t_char, D : list_char]: ((method297381284t_char @ P @ C2 @ M @ Ts @ T @ M2 @ D) => (method297381284t_char @ P @ D @ M @ Ts @ T @ M2 @ D))))). % sees_method_idemp
thf(fact_18_list__all2__map2, axiom,
    ((![P : ty > option_ty > $o, As : list_ty, F : ty > option_ty, Bs : list_ty]: ((list_a765198023ion_ty @ P @ As @ (map_ty_option_ty @ F @ Bs)) = (list_all2_ty_ty @ (^[X2 : ty]: (^[Y2 : ty]: (P @ X2 @ (F @ Y2)))) @ As @ Bs))))). % list_all2_map2
thf(fact_19_list__all2__map2, axiom,
    ((![P : ty > ty > $o, As : list_ty, F : ty > ty, Bs : list_ty]: ((list_all2_ty_ty @ P @ As @ (map_ty_ty @ F @ Bs)) = (list_all2_ty_ty @ (^[X2 : ty]: (^[Y2 : ty]: (P @ X2 @ (F @ Y2)))) @ As @ Bs))))). % list_all2_map2
thf(fact_20_list__all2__map1, axiom,
    ((![P : option_ty > ty > $o, F : ty > option_ty, As : list_ty, Bs : list_ty]: ((list_a1442669255_ty_ty @ P @ (map_ty_option_ty @ F @ As) @ Bs) = (list_all2_ty_ty @ (^[X2 : ty]: (P @ (F @ X2))) @ As @ Bs))))). % list_all2_map1
thf(fact_21_list__all2__map1, axiom,
    ((![P : ty > ty > $o, F : ty > ty, As : list_ty, Bs : list_ty]: ((list_all2_ty_ty @ P @ (map_ty_ty @ F @ As) @ Bs) = (list_all2_ty_ty @ (^[X2 : ty]: (P @ (F @ X2))) @ As @ Bs))))). % list_all2_map1
thf(fact_22_list_Orel__map_I1_J, axiom,
    ((![Sb : option_ty > ty > $o, I : ty > option_ty, X4 : list_ty, Y4 : list_ty]: ((list_a1442669255_ty_ty @ Sb @ (map_ty_option_ty @ I @ X4) @ Y4) = (list_all2_ty_ty @ (^[X2 : ty]: (Sb @ (I @ X2))) @ X4 @ Y4))))). % list.rel_map(1)
thf(fact_23_list_Orel__map_I1_J, axiom,
    ((![Sb : ty > ty > $o, I : ty > ty, X4 : list_ty, Y4 : list_ty]: ((list_all2_ty_ty @ Sb @ (map_ty_ty @ I @ X4) @ Y4) = (list_all2_ty_ty @ (^[X2 : ty]: (Sb @ (I @ X2))) @ X4 @ Y4))))). % list.rel_map(1)
thf(fact_24_list_Orel__map_I2_J, axiom,
    ((![Sa : ty > option_ty > $o, X4 : list_ty, G : ty > option_ty, Y4 : list_ty]: ((list_a765198023ion_ty @ Sa @ X4 @ (map_ty_option_ty @ G @ Y4)) = (list_all2_ty_ty @ (^[X2 : ty]: (^[Y2 : ty]: (Sa @ X2 @ (G @ Y2)))) @ X4 @ Y4))))). % list.rel_map(2)
thf(fact_25_list_Orel__map_I2_J, axiom,
    ((![Sa : ty > ty > $o, X4 : list_ty, G : ty > ty, Y4 : list_ty]: ((list_all2_ty_ty @ Sa @ X4 @ (map_ty_ty @ G @ Y4)) = (list_all2_ty_ty @ (^[X2 : ty]: (^[Y2 : ty]: (Sa @ X2 @ (G @ Y2)))) @ X4 @ Y4))))). % list.rel_map(2)
thf(fact_26_exp_Odistinct_I65_J, axiom,
    ((![X3 : val, X91 : exp_list_char, X92 : list_char, X93 : list_exp_list_char]: (~ (((val_list_char @ X3) = (call_list_char @ X91 @ X92 @ X93))))))). % exp.distinct(65)
thf(fact_27_list_Orel__refl, axiom,
    ((![Ra : ty > ty > $o, X4 : list_ty]: ((![X : ty]: (Ra @ X @ X)) => (list_all2_ty_ty @ Ra @ X4 @ X4))))). % list.rel_refl
thf(fact_28_list__all2__antisym, axiom,
    ((![P : ty > ty > $o, Q : ty > ty > $o, Xs : list_ty, Ys : list_ty]: ((![X : ty, Y5 : ty]: ((P @ X @ Y5) => ((Q @ Y5 @ X) => (X = Y5)))) => ((list_all2_ty_ty @ P @ Xs @ Ys) => ((list_all2_ty_ty @ Q @ Ys @ Xs) => (Xs = Ys))))))). % list_all2_antisym
thf(fact_29_list_Orel__eq, axiom,
    (((list_all2_ty_ty @ (^[Y : ty]: (^[Z : ty]: (Y = Z)))) = (^[Y : list_ty]: (^[Z : list_ty]: (Y = Z)))))). % list.rel_eq
thf(fact_30_val_Oinject_I3_J, axiom,
    ((![X5 : nat, Y52 : nat]: (((addr @ X5) = (addr @ Y52)) = (X5 = Y52))))). % val.inject(3)
thf(fact_31_has__method__def, axiom,
    ((has_me170134744t_char = (^[P4 : list_P1234162913t_char]: (^[C3 : list_char]: (^[M4 : list_char]: (?[Ts2 : list_ty]: (?[T3 : ty]: (?[M5 : produc1294284815t_char]: (?[X6 : list_char]: (method297381284t_char @ P4 @ C3 @ M4 @ Ts2 @ T3 @ M5 @ X6))))))))))). % has_method_def
thf(fact_32_option_Oinject, axiom,
    ((![X22 : produc266837688on_val, Y22 : produc266837688on_val]: (((some_P1299442195on_val @ X22) = (some_P1299442195on_val @ Y22)) = (X22 = Y22))))). % option.inject
thf(fact_33_option_Oinject, axiom,
    ((![X22 : ty, Y22 : ty]: (((some_ty @ X22) = (some_ty @ Y22)) = (X22 = Y22))))). % option.inject
thf(fact_34_prod_Oinject, axiom,
    ((![X1 : list_list_char, X22 : produc111478616t_char, Y1 : list_list_char, Y22 : produc111478616t_char]: (((produc1808722894t_char @ X1 @ X22) = (produc1808722894t_char @ Y1 @ Y22)) = (((X1 = Y1)) & ((X22 = Y22))))))). % prod.inject
thf(fact_35_prod_Oinject, axiom,
    ((![X1 : list_list_char, X22 : exp_list_char, Y1 : list_list_char, Y22 : exp_list_char]: (((produc713467969t_char @ X1 @ X22) = (produc713467969t_char @ Y1 @ Y22)) = (((X1 = Y1)) & ((X22 = Y22))))))). % prod.inject
thf(fact_36_prod_Oinject, axiom,
    ((![X1 : list_exp_list_char, X22 : produc515445032on_val, Y1 : list_exp_list_char, Y22 : produc515445032on_val]: (((produc1725134254on_val @ X1 @ X22) = (produc1725134254on_val @ Y1 @ Y22)) = (((X1 = Y1)) & ((X22 = Y22))))))). % prod.inject
thf(fact_37_prod_Oinject, axiom,
    ((![X1 : list_ty, X22 : produc1109669680t_char, Y1 : list_ty, Y22 : produc1109669680t_char]: (((produc1806338192t_char @ X1 @ X22) = (produc1806338192t_char @ Y1 @ Y22)) = (((X1 = Y1)) & ((X22 = Y22))))))). % prod.inject
thf(fact_38_prod_Oinject, axiom,
    ((![X1 : nat > option2118145160on_val, X22 : list_char > option_val, Y1 : nat > option2118145160on_val, Y22 : list_char > option_val]: (((produc52622304on_val @ X1 @ X22) = (produc52622304on_val @ Y1 @ Y22)) = (((X1 = Y1)) & ((X22 = Y22))))))). % prod.inject
thf(fact_39_old_Oprod_Oinject, axiom,
    ((![A2 : list_list_char, B2 : produc111478616t_char, A3 : list_list_char, B3 : produc111478616t_char]: (((produc1808722894t_char @ A2 @ B2) = (produc1808722894t_char @ A3 @ B3)) = (((A2 = A3)) & ((B2 = B3))))))). % old.prod.inject
thf(fact_40_old_Oprod_Oinject, axiom,
    ((![A2 : list_list_char, B2 : exp_list_char, A3 : list_list_char, B3 : exp_list_char]: (((produc713467969t_char @ A2 @ B2) = (produc713467969t_char @ A3 @ B3)) = (((A2 = A3)) & ((B2 = B3))))))). % old.prod.inject
thf(fact_41_old_Oprod_Oinject, axiom,
    ((![A2 : list_exp_list_char, B2 : produc515445032on_val, A3 : list_exp_list_char, B3 : produc515445032on_val]: (((produc1725134254on_val @ A2 @ B2) = (produc1725134254on_val @ A3 @ B3)) = (((A2 = A3)) & ((B2 = B3))))))). % old.prod.inject
thf(fact_42_old_Oprod_Oinject, axiom,
    ((![A2 : list_ty, B2 : produc1109669680t_char, A3 : list_ty, B3 : produc1109669680t_char]: (((produc1806338192t_char @ A2 @ B2) = (produc1806338192t_char @ A3 @ B3)) = (((A2 = A3)) & ((B2 = B3))))))). % old.prod.inject
thf(fact_43_old_Oprod_Oinject, axiom,
    ((![A2 : nat > option2118145160on_val, B2 : list_char > option_val, A3 : nat > option2118145160on_val, B3 : list_char > option_val]: (((produc52622304on_val @ A2 @ B2) = (produc52622304on_val @ A3 @ B3)) = (((A2 = A3)) & ((B2 = B3))))))). % old.prod.inject
thf(fact_44_RedCall_Ohyps_I4_J, axiom,
    (((size_size_list_ty @ ts) = (size_s2008079621t_char @ pns)))). % RedCall.hyps(4)
thf(fact_45_RedCall_Ohyps_I3_J, axiom,
    (((size_size_list_val @ vs) = (size_s2008079621t_char @ pns)))). % RedCall.hyps(3)
thf(fact_46_WTrtCall, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, C2 : list_char, M : list_char, Ts : list_ty, T : ty, Pns : list_list_char, Body : exp_list_char, D : list_char, Es : list_exp_list_char, Ts3 : list_ty]: ((wTrt @ P @ H @ E @ E2 @ (class @ C2)) => ((method297381284t_char @ P @ C2 @ M @ Ts @ T @ (produc713467969t_char @ Pns @ Body) @ D) => ((wTrts @ P @ H @ E @ Es @ Ts3) => ((list_all2_ty_ty @ (widen_917054840t_char @ P) @ Ts3 @ Ts) => (wTrt @ P @ H @ E @ (call_list_char @ E2 @ M @ Es) @ T)))))))). % WTrtCall
thf(fact_47_map__eq__map__tailrec, axiom,
    ((map_va1515327237t_char = map_ta466610747t_char))). % map_eq_map_tailrec
thf(fact_48_map__eq__map__tailrec, axiom,
    ((map_val_option_ty = map_ta1696661655ion_ty))). % map_eq_map_tailrec
thf(fact_49_map__eq__map__tailrec, axiom,
    ((map_ty_option_ty = map_ta56519374ion_ty))). % map_eq_map_tailrec
thf(fact_50_pred__equals__eq2, axiom,
    ((![R : set_Pr208351751on_val, S : set_Pr208351751on_val]: (((^[X2 : produc335961278on_val]: (^[Y2 : produc335961278on_val]: (member1689761872on_val @ (produc245869591on_val @ X2 @ Y2) @ R))) = (^[X2 : produc335961278on_val]: (^[Y2 : produc335961278on_val]: (member1689761872on_val @ (produc245869591on_val @ X2 @ Y2) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_51_pred__equals__eq2, axiom,
    ((![R : set_Pr685054290t_char, S : set_Pr685054290t_char]: (((^[X2 : list_list_char]: (^[Y2 : produc111478616t_char]: (member772747827t_char @ (produc1808722894t_char @ X2 @ Y2) @ R))) = (^[X2 : list_list_char]: (^[Y2 : produc111478616t_char]: (member772747827t_char @ (produc1808722894t_char @ X2 @ Y2) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_52_pred__equals__eq2, axiom,
    ((![R : set_Pr2063914181t_char, S : set_Pr2063914181t_char]: (((^[X2 : list_list_char]: (^[Y2 : exp_list_char]: (member605104934t_char @ (produc713467969t_char @ X2 @ Y2) @ R))) = (^[X2 : list_list_char]: (^[Y2 : exp_list_char]: (member605104934t_char @ (produc713467969t_char @ X2 @ Y2) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_53_pred__equals__eq2, axiom,
    ((![R : set_Pr1511552798on_val, S : set_Pr1511552798on_val]: (((^[X2 : list_exp_list_char]: (^[Y2 : produc515445032on_val]: (member184158439on_val @ (produc1725134254on_val @ X2 @ Y2) @ R))) = (^[X2 : list_exp_list_char]: (^[Y2 : produc515445032on_val]: (member184158439on_val @ (produc1725134254on_val @ X2 @ Y2) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_54_pred__equals__eq2, axiom,
    ((![R : set_Pr925902648t_char, S : set_Pr925902648t_char]: (((^[X2 : list_ty]: (^[Y2 : produc1109669680t_char]: (member1031340033t_char @ (produc1806338192t_char @ X2 @ Y2) @ R))) = (^[X2 : list_ty]: (^[Y2 : produc1109669680t_char]: (member1031340033t_char @ (produc1806338192t_char @ X2 @ Y2) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_55_pred__equals__eq2, axiom,
    ((![R : set_Pr723149704on_val, S : set_Pr723149704on_val]: (((^[X2 : nat > option2118145160on_val]: (^[Y2 : list_char > option_val]: (member652041809on_val @ (produc52622304on_val @ X2 @ Y2) @ R))) = (^[X2 : nat > option2118145160on_val]: (^[Y2 : list_char > option_val]: (member652041809on_val @ (produc52622304on_val @ X2 @ Y2) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_56_length__map, axiom,
    ((![F : ty > ty, Xs : list_ty]: ((size_size_list_ty @ (map_ty_ty @ F @ Xs)) = (size_size_list_ty @ Xs))))). % length_map
thf(fact_57_length__map, axiom,
    ((![F : val > ty, Xs : list_val]: ((size_size_list_ty @ (map_val_ty @ F @ Xs)) = (size_size_list_val @ Xs))))). % length_map
thf(fact_58_length__map, axiom,
    ((![F : ty > val, Xs : list_ty]: ((size_size_list_val @ (map_ty_val @ F @ Xs)) = (size_size_list_ty @ Xs))))). % length_map
thf(fact_59_length__map, axiom,
    ((![F : val > val, Xs : list_val]: ((size_size_list_val @ (map_val_val @ F @ Xs)) = (size_size_list_val @ Xs))))). % length_map
thf(fact_60_length__map, axiom,
    ((![F : ty > option_ty, Xs : list_ty]: ((size_s1569909163ion_ty @ (map_ty_option_ty @ F @ Xs)) = (size_size_list_ty @ Xs))))). % length_map
thf(fact_61_length__map, axiom,
    ((![F : val > option_ty, Xs : list_val]: ((size_s1569909163ion_ty @ (map_val_option_ty @ F @ Xs)) = (size_size_list_val @ Xs))))). % length_map
thf(fact_62_length__map, axiom,
    ((![F : list_char > ty, Xs : list_list_char]: ((size_size_list_ty @ (map_list_char_ty @ F @ Xs)) = (size_s2008079621t_char @ Xs))))). % length_map
thf(fact_63_length__map, axiom,
    ((![F : ty > list_char, Xs : list_ty]: ((size_s2008079621t_char @ (map_ty_list_char @ F @ Xs)) = (size_size_list_ty @ Xs))))). % length_map
thf(fact_64_length__map, axiom,
    ((![F : val > list_char, Xs : list_val]: ((size_s2008079621t_char @ (map_val_list_char @ F @ Xs)) = (size_size_list_val @ Xs))))). % length_map
thf(fact_65_length__map, axiom,
    ((![F : list_char > val, Xs : list_list_char]: ((size_size_list_val @ (map_list_char_val @ F @ Xs)) = (size_s2008079621t_char @ Xs))))). % length_map
thf(fact_66_Ex__list__of__length, axiom,
    ((![N : nat]: (?[Xs2 : list_ty]: ((size_size_list_ty @ Xs2) = N))))). % Ex_list_of_length
thf(fact_67_Ex__list__of__length, axiom,
    ((![N : nat]: (?[Xs2 : list_list_char]: ((size_s2008079621t_char @ Xs2) = N))))). % Ex_list_of_length
thf(fact_68_Ex__list__of__length, axiom,
    ((![N : nat]: (?[Xs2 : list_val]: ((size_size_list_val @ Xs2) = N))))). % Ex_list_of_length
thf(fact_69_Ex__list__of__length, axiom,
    ((![N : nat]: (?[Xs2 : list_exp_list_char]: ((size_s329991613t_char @ Xs2) = N))))). % Ex_list_of_length
thf(fact_70_neq__if__length__neq, axiom,
    ((![Xs : list_ty, Ys : list_ty]: ((~ (((size_size_list_ty @ Xs) = (size_size_list_ty @ Ys)))) => (~ ((Xs = Ys))))))). % neq_if_length_neq
thf(fact_71_neq__if__length__neq, axiom,
    ((![Xs : list_list_char, Ys : list_list_char]: ((~ (((size_s2008079621t_char @ Xs) = (size_s2008079621t_char @ Ys)))) => (~ ((Xs = Ys))))))). % neq_if_length_neq
thf(fact_72_neq__if__length__neq, axiom,
    ((![Xs : list_val, Ys : list_val]: ((~ (((size_size_list_val @ Xs) = (size_size_list_val @ Ys)))) => (~ ((Xs = Ys))))))). % neq_if_length_neq
thf(fact_73_neq__if__length__neq, axiom,
    ((![Xs : list_exp_list_char, Ys : list_exp_list_char]: ((~ (((size_s329991613t_char @ Xs) = (size_s329991613t_char @ Ys)))) => (~ ((Xs = Ys))))))). % neq_if_length_neq
thf(fact_74_map__eq__imp__length__eq, axiom,
    ((![F : ty > option_ty, Xs : list_ty, G : ty > option_ty, Ys : list_ty]: (((map_ty_option_ty @ F @ Xs) = (map_ty_option_ty @ G @ Ys)) => ((size_size_list_ty @ Xs) = (size_size_list_ty @ Ys)))))). % map_eq_imp_length_eq
thf(fact_75_map__eq__imp__length__eq, axiom,
    ((![F : ty > option_ty, Xs : list_ty, G : val > option_ty, Ys : list_val]: (((map_ty_option_ty @ F @ Xs) = (map_val_option_ty @ G @ Ys)) => ((size_size_list_ty @ Xs) = (size_size_list_val @ Ys)))))). % map_eq_imp_length_eq
thf(fact_76_map__eq__imp__length__eq, axiom,
    ((![F : val > option_ty, Xs : list_val, G : ty > option_ty, Ys : list_ty]: (((map_val_option_ty @ F @ Xs) = (map_ty_option_ty @ G @ Ys)) => ((size_size_list_val @ Xs) = (size_size_list_ty @ Ys)))))). % map_eq_imp_length_eq
thf(fact_77_map__eq__imp__length__eq, axiom,
    ((![F : val > option_ty, Xs : list_val, G : val > option_ty, Ys : list_val]: (((map_val_option_ty @ F @ Xs) = (map_val_option_ty @ G @ Ys)) => ((size_size_list_val @ Xs) = (size_size_list_val @ Ys)))))). % map_eq_imp_length_eq
thf(fact_78_map__eq__imp__length__eq, axiom,
    ((![F : ty > option_ty, Xs : list_ty, G : list_char > option_ty, Ys : list_list_char]: (((map_ty_option_ty @ F @ Xs) = (map_li427973166ion_ty @ G @ Ys)) => ((size_size_list_ty @ Xs) = (size_s2008079621t_char @ Ys)))))). % map_eq_imp_length_eq
thf(fact_79_map__eq__imp__length__eq, axiom,
    ((![F : ty > exp_list_char, Xs : list_ty, G : val > exp_list_char, Ys : list_val]: (((map_ty_exp_list_char @ F @ Xs) = (map_va1515327237t_char @ G @ Ys)) => ((size_size_list_ty @ Xs) = (size_size_list_val @ Ys)))))). % map_eq_imp_length_eq
thf(fact_80_map__eq__imp__length__eq, axiom,
    ((![F : list_char > option_ty, Xs : list_list_char, G : ty > option_ty, Ys : list_ty]: (((map_li427973166ion_ty @ F @ Xs) = (map_ty_option_ty @ G @ Ys)) => ((size_s2008079621t_char @ Xs) = (size_size_list_ty @ Ys)))))). % map_eq_imp_length_eq
thf(fact_81_map__eq__imp__length__eq, axiom,
    ((![F : list_char > option_ty, Xs : list_list_char, G : val > option_ty, Ys : list_val]: (((map_li427973166ion_ty @ F @ Xs) = (map_val_option_ty @ G @ Ys)) => ((size_s2008079621t_char @ Xs) = (size_size_list_val @ Ys)))))). % map_eq_imp_length_eq
thf(fact_82_map__eq__imp__length__eq, axiom,
    ((![F : val > exp_list_char, Xs : list_val, G : ty > exp_list_char, Ys : list_ty]: (((map_va1515327237t_char @ F @ Xs) = (map_ty_exp_list_char @ G @ Ys)) => ((size_size_list_val @ Xs) = (size_size_list_ty @ Ys)))))). % map_eq_imp_length_eq
thf(fact_83_map__eq__imp__length__eq, axiom,
    ((![F : val > option_ty, Xs : list_val, G : list_char > option_ty, Ys : list_list_char]: (((map_val_option_ty @ F @ Xs) = (map_li427973166ion_ty @ G @ Ys)) => ((size_size_list_val @ Xs) = (size_s2008079621t_char @ Ys)))))). % map_eq_imp_length_eq
thf(fact_84_list__all2__lengthD, axiom,
    ((![P : ty > ty > $o, Xs : list_ty, Ys : list_ty]: ((list_all2_ty_ty @ P @ Xs @ Ys) => ((size_size_list_ty @ Xs) = (size_size_list_ty @ Ys)))))). % list_all2_lengthD
thf(fact_85_list__all2__lengthD, axiom,
    ((![P : ty > val > $o, Xs : list_ty, Ys : list_val]: ((list_all2_ty_val @ P @ Xs @ Ys) => ((size_size_list_ty @ Xs) = (size_size_list_val @ Ys)))))). % list_all2_lengthD
thf(fact_86_list__all2__lengthD, axiom,
    ((![P : val > ty > $o, Xs : list_val, Ys : list_ty]: ((list_all2_val_ty @ P @ Xs @ Ys) => ((size_size_list_val @ Xs) = (size_size_list_ty @ Ys)))))). % list_all2_lengthD
thf(fact_87_list__all2__lengthD, axiom,
    ((![P : val > val > $o, Xs : list_val, Ys : list_val]: ((list_all2_val_val @ P @ Xs @ Ys) => ((size_size_list_val @ Xs) = (size_size_list_val @ Ys)))))). % list_all2_lengthD
thf(fact_88_list__all2__lengthD, axiom,
    ((![P : ty > list_char > $o, Xs : list_ty, Ys : list_list_char]: ((list_a1504214817t_char @ P @ Xs @ Ys) => ((size_size_list_ty @ Xs) = (size_s2008079621t_char @ Ys)))))). % list_all2_lengthD
thf(fact_89_list__all2__lengthD, axiom,
    ((![P : list_char > ty > $o, Xs : list_list_char, Ys : list_ty]: ((list_a1770748705har_ty @ P @ Xs @ Ys) => ((size_s2008079621t_char @ Xs) = (size_size_list_ty @ Ys)))))). % list_all2_lengthD
thf(fact_90_list__all2__lengthD, axiom,
    ((![P : list_char > val > $o, Xs : list_list_char, Ys : list_val]: ((list_a280217834ar_val @ P @ Xs @ Ys) => ((size_s2008079621t_char @ Xs) = (size_size_list_val @ Ys)))))). % list_all2_lengthD
thf(fact_91_list__all2__lengthD, axiom,
    ((![P : val > list_char > $o, Xs : list_val, Ys : list_list_char]: ((list_a1248766058t_char @ P @ Xs @ Ys) => ((size_size_list_val @ Xs) = (size_s2008079621t_char @ Ys)))))). % list_all2_lengthD
thf(fact_92_list__all2__lengthD, axiom,
    ((![P : ty > exp_list_char > $o, Xs : list_ty, Ys : list_exp_list_char]: ((list_a212154379t_char @ P @ Xs @ Ys) => ((size_size_list_ty @ Xs) = (size_s329991613t_char @ Ys)))))). % list_all2_lengthD
thf(fact_93_list__all2__lengthD, axiom,
    ((![P : list_char > list_char > $o, Xs : list_list_char, Ys : list_list_char]: ((list_a2051666507t_char @ P @ Xs @ Ys) => ((size_s2008079621t_char @ Xs) = (size_s2008079621t_char @ Ys)))))). % list_all2_lengthD
thf(fact_94_Class__widen, axiom,
    ((![P : list_P1234162913t_char, C2 : list_char, T : ty]: ((widen_917054840t_char @ P @ (class @ C2) @ T) => (?[D3 : list_char]: (T = (class @ D3))))))). % Class_widen
thf(fact_95_old_Oprod_Oinducts, axiom,
    ((![P : produc81045532t_char > $o, Prod : produc81045532t_char]: ((![A : list_list_char, B : produc111478616t_char]: (P @ (produc1808722894t_char @ A @ B))) => (P @ Prod))))). % old.prod.inducts
thf(fact_96_old_Oprod_Oinducts, axiom,
    ((![P : produc1294284815t_char > $o, Prod : produc1294284815t_char]: ((![A : list_list_char, B : exp_list_char]: (P @ (produc713467969t_char @ A @ B))) => (P @ Prod))))). % old.prod.inducts
thf(fact_97_old_Oprod_Oinducts, axiom,
    ((![P : produc335961278on_val > $o, Prod : produc335961278on_val]: ((![A : list_exp_list_char, B : produc515445032on_val]: (P @ (produc1725134254on_val @ A @ B))) => (P @ Prod))))). % old.prod.inducts
thf(fact_98_old_Oprod_Oinducts, axiom,
    ((![P : produc111478616t_char > $o, Prod : produc111478616t_char]: ((![A : list_ty, B : produc1109669680t_char]: (P @ (produc1806338192t_char @ A @ B))) => (P @ Prod))))). % old.prod.inducts
thf(fact_99_old_Oprod_Oinducts, axiom,
    ((![P : produc515445032on_val > $o, Prod : produc515445032on_val]: ((![A : nat > option2118145160on_val, B : list_char > option_val]: (P @ (produc52622304on_val @ A @ B))) => (P @ Prod))))). % old.prod.inducts
thf(fact_100_mem__Collect__eq, axiom,
    ((![A2 : produc655058983on_val, P : produc655058983on_val > $o]: ((member1689761872on_val @ A2 @ (collec105960082on_val @ P)) = (P @ A2))))). % mem_Collect_eq
thf(fact_101_Collect__mem__eq, axiom,
    ((![A4 : set_Pr208351751on_val]: ((collec105960082on_val @ (^[X2 : produc655058983on_val]: (member1689761872on_val @ X2 @ A4))) = A4)))). % Collect_mem_eq
thf(fact_102_old_Oprod_Oexhaust, axiom,
    ((![Y4 : produc81045532t_char]: (~ ((![A : list_list_char, B : produc111478616t_char]: (~ ((Y4 = (produc1808722894t_char @ A @ B)))))))))). % old.prod.exhaust
thf(fact_103_old_Oprod_Oexhaust, axiom,
    ((![Y4 : produc1294284815t_char]: (~ ((![A : list_list_char, B : exp_list_char]: (~ ((Y4 = (produc713467969t_char @ A @ B)))))))))). % old.prod.exhaust
thf(fact_104_old_Oprod_Oexhaust, axiom,
    ((![Y4 : produc335961278on_val]: (~ ((![A : list_exp_list_char, B : produc515445032on_val]: (~ ((Y4 = (produc1725134254on_val @ A @ B)))))))))). % old.prod.exhaust
thf(fact_105_old_Oprod_Oexhaust, axiom,
    ((![Y4 : produc111478616t_char]: (~ ((![A : list_ty, B : produc1109669680t_char]: (~ ((Y4 = (produc1806338192t_char @ A @ B)))))))))). % old.prod.exhaust
thf(fact_106_old_Oprod_Oexhaust, axiom,
    ((![Y4 : produc515445032on_val]: (~ ((![A : nat > option2118145160on_val, B : list_char > option_val]: (~ ((Y4 = (produc52622304on_val @ A @ B)))))))))). % old.prod.exhaust
thf(fact_107_prod__induct4, axiom,
    ((![P : produc81045532t_char > $o, X4 : produc81045532t_char]: ((![A : list_list_char, B : list_ty, C : list_val, D4 : exp_list_char]: (P @ (produc1808722894t_char @ A @ (produc1806338192t_char @ B @ (produc823987298t_char @ C @ D4))))) => (P @ X4))))). % prod_induct4
thf(fact_108_prod__induct3, axiom,
    ((![P : produc81045532t_char > $o, X4 : produc81045532t_char]: ((![A : list_list_char, B : list_ty, C : produc1109669680t_char]: (P @ (produc1808722894t_char @ A @ (produc1806338192t_char @ B @ C)))) => (P @ X4))))). % prod_induct3
thf(fact_109_prod__induct3, axiom,
    ((![P : produc335961278on_val > $o, X4 : produc335961278on_val]: ((![A : list_exp_list_char, B : nat > option2118145160on_val, C : list_char > option_val]: (P @ (produc1725134254on_val @ A @ (produc52622304on_val @ B @ C)))) => (P @ X4))))). % prod_induct3
thf(fact_110_prod__induct3, axiom,
    ((![P : produc111478616t_char > $o, X4 : produc111478616t_char]: ((![A : list_ty, B : list_val, C : exp_list_char]: (P @ (produc1806338192t_char @ A @ (produc823987298t_char @ B @ C)))) => (P @ X4))))). % prod_induct3
thf(fact_111_prod__cases4, axiom,
    ((![Y4 : produc81045532t_char]: (~ ((![A : list_list_char, B : list_ty, C : list_val, D4 : exp_list_char]: (~ ((Y4 = (produc1808722894t_char @ A @ (produc1806338192t_char @ B @ (produc823987298t_char @ C @ D4)))))))))))). % prod_cases4
thf(fact_112_prod__cases3, axiom,
    ((![Y4 : produc81045532t_char]: (~ ((![A : list_list_char, B : list_ty, C : produc1109669680t_char]: (~ ((Y4 = (produc1808722894t_char @ A @ (produc1806338192t_char @ B @ C))))))))))). % prod_cases3
thf(fact_113_prod__cases3, axiom,
    ((![Y4 : produc335961278on_val]: (~ ((![A : list_exp_list_char, B : nat > option2118145160on_val, C : list_char > option_val]: (~ ((Y4 = (produc1725134254on_val @ A @ (produc52622304on_val @ B @ C))))))))))). % prod_cases3
thf(fact_114_prod__cases3, axiom,
    ((![Y4 : produc111478616t_char]: (~ ((![A : list_ty, B : list_val, C : exp_list_char]: (~ ((Y4 = (produc1806338192t_char @ A @ (produc823987298t_char @ B @ C))))))))))). % prod_cases3
thf(fact_115_Pair__inject, axiom,
    ((![A2 : list_list_char, B2 : produc111478616t_char, A3 : list_list_char, B3 : produc111478616t_char]: (((produc1808722894t_char @ A2 @ B2) = (produc1808722894t_char @ A3 @ B3)) => (~ (((A2 = A3) => (~ ((B2 = B3)))))))))). % Pair_inject
thf(fact_116_Pair__inject, axiom,
    ((![A2 : list_list_char, B2 : exp_list_char, A3 : list_list_char, B3 : exp_list_char]: (((produc713467969t_char @ A2 @ B2) = (produc713467969t_char @ A3 @ B3)) => (~ (((A2 = A3) => (~ ((B2 = B3)))))))))). % Pair_inject
thf(fact_117_Pair__inject, axiom,
    ((![A2 : list_exp_list_char, B2 : produc515445032on_val, A3 : list_exp_list_char, B3 : produc515445032on_val]: (((produc1725134254on_val @ A2 @ B2) = (produc1725134254on_val @ A3 @ B3)) => (~ (((A2 = A3) => (~ ((B2 = B3)))))))))). % Pair_inject
thf(fact_118_Pair__inject, axiom,
    ((![A2 : list_ty, B2 : produc1109669680t_char, A3 : list_ty, B3 : produc1109669680t_char]: (((produc1806338192t_char @ A2 @ B2) = (produc1806338192t_char @ A3 @ B3)) => (~ (((A2 = A3) => (~ ((B2 = B3)))))))))). % Pair_inject
thf(fact_119_Pair__inject, axiom,
    ((![A2 : nat > option2118145160on_val, B2 : list_char > option_val, A3 : nat > option2118145160on_val, B3 : list_char > option_val]: (((produc52622304on_val @ A2 @ B2) = (produc52622304on_val @ A3 @ B3)) => (~ (((A2 = A3) => (~ ((B2 = B3)))))))))). % Pair_inject
thf(fact_120_prod__cases, axiom,
    ((![P : produc81045532t_char > $o, P5 : produc81045532t_char]: ((![A : list_list_char, B : produc111478616t_char]: (P @ (produc1808722894t_char @ A @ B))) => (P @ P5))))). % prod_cases
thf(fact_121_prod__cases, axiom,
    ((![P : produc1294284815t_char > $o, P5 : produc1294284815t_char]: ((![A : list_list_char, B : exp_list_char]: (P @ (produc713467969t_char @ A @ B))) => (P @ P5))))). % prod_cases
thf(fact_122_prod__cases, axiom,
    ((![P : produc335961278on_val > $o, P5 : produc335961278on_val]: ((![A : list_exp_list_char, B : produc515445032on_val]: (P @ (produc1725134254on_val @ A @ B))) => (P @ P5))))). % prod_cases
thf(fact_123_prod__cases, axiom,
    ((![P : produc111478616t_char > $o, P5 : produc111478616t_char]: ((![A : list_ty, B : produc1109669680t_char]: (P @ (produc1806338192t_char @ A @ B))) => (P @ P5))))). % prod_cases
thf(fact_124_prod__cases, axiom,
    ((![P : produc515445032on_val > $o, P5 : produc515445032on_val]: ((![A : nat > option2118145160on_val, B : list_char > option_val]: (P @ (produc52622304on_val @ A @ B))) => (P @ P5))))). % prod_cases
thf(fact_125_surj__pair, axiom,
    ((![P5 : produc81045532t_char]: (?[X : list_list_char, Y5 : produc111478616t_char]: (P5 = (produc1808722894t_char @ X @ Y5)))))). % surj_pair
thf(fact_126_surj__pair, axiom,
    ((![P5 : produc1294284815t_char]: (?[X : list_list_char, Y5 : exp_list_char]: (P5 = (produc713467969t_char @ X @ Y5)))))). % surj_pair
thf(fact_127_surj__pair, axiom,
    ((![P5 : produc335961278on_val]: (?[X : list_exp_list_char, Y5 : produc515445032on_val]: (P5 = (produc1725134254on_val @ X @ Y5)))))). % surj_pair
thf(fact_128_surj__pair, axiom,
    ((![P5 : produc111478616t_char]: (?[X : list_ty, Y5 : produc1109669680t_char]: (P5 = (produc1806338192t_char @ X @ Y5)))))). % surj_pair
thf(fact_129_surj__pair, axiom,
    ((![P5 : produc515445032on_val]: (?[X : nat > option2118145160on_val, Y5 : list_char > option_val]: (P5 = (produc52622304on_val @ X @ Y5)))))). % surj_pair
thf(fact_130_ty_Oinject, axiom,
    ((![X5 : list_char, Y52 : list_char]: (((class @ X5) = (class @ Y52)) = (X5 = Y52))))). % ty.inject
thf(fact_131_method__def2, axiom,
    ((![P : list_P1234162913t_char, C2 : list_char, M : list_char, Ts : list_ty, T : ty, M2 : produc1294284815t_char, D : list_char]: ((method297381284t_char @ P @ C2 @ M @ Ts @ T @ M2 @ D) => ((method667690372t_char @ P @ C2 @ M) = (produc1238538255t_char @ D @ (produc1730359111t_char @ Ts @ (produc248075743t_char @ T @ M2)))))))). % method_def2
thf(fact_132_WTrts__Val, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, Vs : list_val, Ts : list_ty]: ((wTrts @ P @ H @ E @ (map_va1515327237t_char @ val_list_char @ Vs) @ Ts) = ((map_val_option_ty @ (typeof_h @ H) @ Vs) = (map_ty_option_ty @ some_ty @ Ts)))))). % WTrts_Val
thf(fact_133_reds__preserves__sconf, axiom,
    ((![Es : list_exp_list_char, S2 : produc515445032on_val, Es2 : list_exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, E : list_char > option_ty, Ts : list_ty]: ((member1689761872on_val @ (produc245869591on_val @ (produc1725134254on_val @ Es @ S2) @ (produc1725134254on_val @ Es2 @ S3)) @ (reds @ P)) => ((wTrts @ P @ (hp @ S2) @ E @ Es @ Ts) => ((typeSa1777264139_sconf @ P @ E @ S2) => (typeSa1777264139_sconf @ P @ E @ S3))))))). % reds_preserves_sconf
thf(fact_134_the__Addr_Osimps, axiom,
    ((![A2 : nat]: ((the_Addr @ (addr @ A2)) = A2)))). % the_Addr.simps
thf(fact_135_WTrtCallNT, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, Es : list_exp_list_char, Ts : list_ty, M : list_char, T : ty]: ((wTrt @ P @ H @ E @ E2 @ nt) => ((wTrts @ P @ H @ E @ Es @ Ts) => (wTrt @ P @ H @ E @ (call_list_char @ E2 @ M @ Es) @ T)))))). % WTrtCallNT
thf(fact_136_ty_Odistinct_I19_J, axiom,
    ((![X5 : list_char]: (~ ((nt = (class @ X5))))))). % ty.distinct(19)
thf(fact_137_WTrts__same__length, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, Es : list_exp_list_char, Ts : list_ty]: ((wTrts @ P @ H @ E @ Es @ Ts) => ((size_s329991613t_char @ Es) = (size_size_list_ty @ Ts)))))). % WTrts_same_length
thf(fact_138_WTrtVal, axiom,
    ((![H : nat > option2118145160on_val, V : val, T : ty, P : list_P1234162913t_char, E : list_char > option_ty]: (((typeof_h @ H @ V) = (some_ty @ T)) => (wTrt @ P @ H @ E @ (val_list_char @ V) @ T))))). % WTrtVal
thf(fact_139_widen__null, axiom,
    ((![P : list_P1234162913t_char, C2 : list_char]: (widen_917054840t_char @ P @ nt @ (class @ C2))))). % widen_null
thf(fact_140_sees__wf__mdecl, axiom,
    ((![Wf_md : list_P1234162913t_char > list_char > produc1259892823t_char > $o, P : list_P1234162913t_char, C2 : list_char, M : list_char, Ts : list_ty, T : ty, M2 : produc1294284815t_char, D : list_char]: ((wf_pro1229751607t_char @ Wf_md @ P) => ((method297381284t_char @ P @ C2 @ M @ Ts @ T @ M2 @ D) => (wf_mde297024346t_char @ Wf_md @ P @ D @ (produc1238538255t_char @ M @ (produc1730359111t_char @ Ts @ (produc248075743t_char @ T @ M2))))))))). % sees_wf_mdecl
thf(fact_141_reds__preserves__hconf, axiom,
    ((![Es : list_exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, Es2 : list_exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, E : list_char > option_ty, Ts : list_ty]: ((member1689761872on_val @ (produc245869591on_val @ (produc1725134254on_val @ Es @ (produc52622304on_val @ H @ L)) @ (produc1725134254on_val @ Es2 @ (produc52622304on_val @ H2 @ L2))) @ (reds @ P)) => ((wTrts @ P @ H @ E @ Es @ Ts) => ((hconf_1244167010t_char @ P @ H) => (hconf_1244167010t_char @ P @ H2))))))). % reds_preserves_hconf
thf(fact_142_wt__blocks, axiom,
    ((![Vs2 : list_list_char, Ts : list_ty, Vs : list_val, P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, T : ty]: (((size_s2008079621t_char @ Vs2) = (size_size_list_ty @ Ts)) => (((size_size_list_val @ Vs) = (size_size_list_ty @ Ts)) => ((wTrt @ P @ H @ E @ (blocks @ (produc1808722894t_char @ Vs2 @ (produc1806338192t_char @ Ts @ (produc823987298t_char @ Vs @ E2)))) @ T) = (((wTrt @ P @ H @ (map_up703499792har_ty @ E @ Vs2 @ Ts) @ E2 @ T)) & ((?[Ts4 : list_ty]: ((((map_val_option_ty @ (typeof_h @ H) @ Vs) = (map_ty_option_ty @ some_ty @ Ts4))) & ((list_all2_ty_ty @ (widen_917054840t_char @ P) @ Ts4 @ Ts)))))))))))). % wt_blocks
thf(fact_143_reds__preserves__lconf, axiom,
    ((![Es : list_exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, Es2 : list_exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, E : list_char > option_ty, Ts : list_ty]: ((member1689761872on_val @ (produc245869591on_val @ (produc1725134254on_val @ Es @ (produc52622304on_val @ H @ L)) @ (produc1725134254on_val @ Es2 @ (produc52622304on_val @ H2 @ L2))) @ (reds @ P)) => ((wTrts @ P @ H @ E @ Es @ Ts) => ((lconf_485928294t_char @ P @ H @ L @ E) => (lconf_485928294t_char @ P @ H2 @ L2 @ E))))))). % reds_preserves_lconf
thf(fact_144_confs__conv__map, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, Vs : list_val, Ts3 : list_ty]: ((list_all2_val_ty @ (conf_P93989998t_char @ P @ H) @ Vs @ Ts3) = (?[Ts2 : list_ty]: ((((map_val_option_ty @ (typeof_h @ H) @ Vs) = (map_ty_option_ty @ some_ty @ Ts2))) & ((list_all2_ty_ty @ (widen_917054840t_char @ P) @ Ts2 @ Ts3)))))))). % confs_conv_map
thf(fact_145_Method__def, axiom,
    ((method297381284t_char = (^[P4 : list_P1234162913t_char]: (^[C3 : list_char]: (^[M4 : list_char]: (^[Ts2 : list_ty]: (^[T3 : ty]: (^[M5 : produc1294284815t_char]: (^[D5 : list_char]: (?[Mm : list_char > option2098574493t_char]: (((method527166639t_char @ P4 @ C3 @ Mm)) & (((Mm @ M4) = (some_P731082428t_char @ (produc1514622991t_char @ (produc1730359111t_char @ Ts2 @ (produc248075743t_char @ T3 @ M5)) @ D5)))))))))))))))). % Method_def
thf(fact_146_Method__code, axiom,
    ((![P : list_P1234162913t_char, C2 : list_char, Mm2 : list_char > option2098574493t_char, M : list_char, Ts : list_ty, T : ty, M2 : produc1294284815t_char, D : list_char]: ((method527166639t_char @ P @ C2 @ Mm2) => (((Mm2 @ M) = (some_P731082428t_char @ (produc1514622991t_char @ (produc1730359111t_char @ Ts @ (produc248075743t_char @ T @ M2)) @ D))) => (method297381284t_char @ P @ C2 @ M @ Ts @ T @ M2 @ D)))))). % Method_code
thf(fact_147_conf__widen, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, V : val, T : ty, T2 : ty]: ((conf_P93989998t_char @ P @ H @ V @ T) => ((widen_917054840t_char @ P @ T @ T2) => (conf_P93989998t_char @ P @ H @ V @ T2)))))). % conf_widen
thf(fact_148_confs__widens, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, Vs : list_val, Ts : list_ty, Ts3 : list_ty]: ((list_all2_val_ty @ (conf_P93989998t_char @ P @ H) @ Vs @ Ts) => ((list_all2_ty_ty @ (widen_917054840t_char @ P) @ Ts @ Ts3) => (list_all2_val_ty @ (conf_P93989998t_char @ P @ H) @ Vs @ Ts3)))))). % confs_widens
thf(fact_149_lconf__def, axiom,
    ((lconf_485928294t_char = (^[P4 : list_P1234162913t_char]: (^[H3 : nat > option2118145160on_val]: (^[L3 : list_char > option_val]: (^[E3 : list_char > option_ty]: (![V2 : list_char]: (![V3 : val]: ((((L3 @ V2) = (some_val @ V3))) => ((?[T3 : ty]: ((((E3 @ V2) = (some_ty @ T3))) & ((conf_P93989998t_char @ P4 @ H3 @ V3 @ T3))))))))))))))). % lconf_def
thf(fact_150_conf__def, axiom,
    ((conf_P93989998t_char = (^[P4 : list_P1234162913t_char]: (^[H3 : nat > option2118145160on_val]: (^[V3 : val]: (^[T3 : ty]: (?[T4 : ty]: ((((typeof_h @ H3 @ V3) = (some_ty @ T4))) & ((widen_917054840t_char @ P4 @ T4 @ T3))))))))))). % conf_def
thf(fact_151_singletonI, axiom,
    ((![A2 : produc655058983on_val]: (member1689761872on_val @ A2 @ (insert363480567on_val @ A2 @ bot_bo1426907251on_val))))). % singletonI
thf(fact_152_insertCI, axiom,
    ((![A2 : produc655058983on_val, B4 : set_Pr208351751on_val, B2 : produc655058983on_val]: (((~ ((member1689761872on_val @ A2 @ B4))) => (A2 = B2)) => (member1689761872on_val @ A2 @ (insert363480567on_val @ B2 @ B4)))))). % insertCI
thf(fact_153_all__not__in__conv, axiom,
    ((![A4 : set_Pr208351751on_val]: ((![X2 : produc655058983on_val]: (~ ((member1689761872on_val @ X2 @ A4)))) = (A4 = bot_bo1426907251on_val))))). % all_not_in_conv
thf(fact_154_empty__iff, axiom,
    ((![C4 : produc655058983on_val]: (~ ((member1689761872on_val @ C4 @ bot_bo1426907251on_val)))))). % empty_iff
thf(fact_155_insert__iff, axiom,
    ((![A2 : produc655058983on_val, B2 : produc655058983on_val, A4 : set_Pr208351751on_val]: ((member1689761872on_val @ A2 @ (insert363480567on_val @ B2 @ A4)) = (((A2 = B2)) | ((member1689761872on_val @ A2 @ A4))))))). % insert_iff
thf(fact_156_ex__in__conv, axiom,
    ((![A4 : set_Pr208351751on_val]: ((?[X2 : produc655058983on_val]: (member1689761872on_val @ X2 @ A4)) = (~ ((A4 = bot_bo1426907251on_val))))))). % ex_in_conv
thf(fact_157_equals0I, axiom,
    ((![A4 : set_Pr208351751on_val]: ((![Y5 : produc655058983on_val]: (~ ((member1689761872on_val @ Y5 @ A4)))) => (A4 = bot_bo1426907251on_val))))). % equals0I
thf(fact_158_equals0D, axiom,
    ((![A4 : set_Pr208351751on_val, A2 : produc655058983on_val]: ((A4 = bot_bo1426907251on_val) => (~ ((member1689761872on_val @ A2 @ A4))))))). % equals0D
thf(fact_159_emptyE, axiom,
    ((![A2 : produc655058983on_val]: (~ ((member1689761872on_val @ A2 @ bot_bo1426907251on_val)))))). % emptyE
thf(fact_160_mk__disjoint__insert, axiom,
    ((![A2 : produc655058983on_val, A4 : set_Pr208351751on_val]: ((member1689761872on_val @ A2 @ A4) => (?[B5 : set_Pr208351751on_val]: ((A4 = (insert363480567on_val @ A2 @ B5)) & (~ ((member1689761872on_val @ A2 @ B5))))))))). % mk_disjoint_insert
thf(fact_161_insert__eq__iff, axiom,
    ((![A2 : produc655058983on_val, A4 : set_Pr208351751on_val, B2 : produc655058983on_val, B4 : set_Pr208351751on_val]: ((~ ((member1689761872on_val @ A2 @ A4))) => ((~ ((member1689761872on_val @ B2 @ B4))) => (((insert363480567on_val @ A2 @ A4) = (insert363480567on_val @ B2 @ B4)) = (((((A2 = B2)) => ((A4 = B4)))) & ((((~ ((A2 = B2)))) => ((?[C3 : set_Pr208351751on_val]: (((A4 = (insert363480567on_val @ B2 @ C3))) & ((((~ ((member1689761872on_val @ B2 @ C3)))) & ((((B4 = (insert363480567on_val @ A2 @ C3))) & ((~ ((member1689761872on_val @ A2 @ C3)))))))))))))))))))). % insert_eq_iff
thf(fact_162_insert__absorb, axiom,
    ((![A2 : produc655058983on_val, A4 : set_Pr208351751on_val]: ((member1689761872on_val @ A2 @ A4) => ((insert363480567on_val @ A2 @ A4) = A4))))). % insert_absorb
thf(fact_163_insert__ident, axiom,
    ((![X4 : produc655058983on_val, A4 : set_Pr208351751on_val, B4 : set_Pr208351751on_val]: ((~ ((member1689761872on_val @ X4 @ A4))) => ((~ ((member1689761872on_val @ X4 @ B4))) => (((insert363480567on_val @ X4 @ A4) = (insert363480567on_val @ X4 @ B4)) = (A4 = B4))))))). % insert_ident
thf(fact_164_Set_Oset__insert, axiom,
    ((![X4 : produc655058983on_val, A4 : set_Pr208351751on_val]: ((member1689761872on_val @ X4 @ A4) => (~ ((![B5 : set_Pr208351751on_val]: ((A4 = (insert363480567on_val @ X4 @ B5)) => (member1689761872on_val @ X4 @ B5))))))))). % Set.set_insert
thf(fact_165_insertI2, axiom,
    ((![A2 : produc655058983on_val, B4 : set_Pr208351751on_val, B2 : produc655058983on_val]: ((member1689761872on_val @ A2 @ B4) => (member1689761872on_val @ A2 @ (insert363480567on_val @ B2 @ B4)))))). % insertI2
thf(fact_166_insertI1, axiom,
    ((![A2 : produc655058983on_val, B4 : set_Pr208351751on_val]: (member1689761872on_val @ A2 @ (insert363480567on_val @ A2 @ B4))))). % insertI1
thf(fact_167_insertE, axiom,
    ((![A2 : produc655058983on_val, B2 : produc655058983on_val, A4 : set_Pr208351751on_val]: ((member1689761872on_val @ A2 @ (insert363480567on_val @ B2 @ A4)) => ((~ ((A2 = B2))) => (member1689761872on_val @ A2 @ A4)))))). % insertE
thf(fact_168_insert__compr, axiom,
    ((insert363480567on_val = (^[A5 : produc655058983on_val]: (^[B6 : set_Pr208351751on_val]: (collec105960082on_val @ (^[X2 : produc655058983on_val]: (((X2 = A5)) | ((member1689761872on_val @ X2 @ B6)))))))))). % insert_compr
thf(fact_169_singleton__iff, axiom,
    ((![B2 : produc655058983on_val, A2 : produc655058983on_val]: ((member1689761872on_val @ B2 @ (insert363480567on_val @ A2 @ bot_bo1426907251on_val)) = (B2 = A2))))). % singleton_iff
thf(fact_170_singletonD, axiom,
    ((![B2 : produc655058983on_val, A2 : produc655058983on_val]: ((member1689761872on_val @ B2 @ (insert363480567on_val @ A2 @ bot_bo1426907251on_val)) => (B2 = A2))))). % singletonD
thf(fact_171_bot__empty__eq, axiom,
    ((bot_bo523622954_val_o = (^[X2 : produc655058983on_val]: (member1689761872on_val @ X2 @ bot_bo1426907251on_val))))). % bot_empty_eq
thf(fact_172_bot__empty__eq2, axiom,
    ((bot_bo2035215066_val_o = (^[X2 : produc335961278on_val]: (^[Y2 : produc335961278on_val]: (member1689761872on_val @ (produc245869591on_val @ X2 @ Y2) @ bot_bo1426907251on_val)))))). % bot_empty_eq2
thf(fact_173_bot__empty__eq2, axiom,
    ((bot_bo1167768009char_o = (^[X2 : list_list_char]: (^[Y2 : produc111478616t_char]: (member772747827t_char @ (produc1808722894t_char @ X2 @ Y2) @ bot_bo594068966t_char)))))). % bot_empty_eq2
thf(fact_174_bot__empty__eq2, axiom,
    ((bot_bo1821121046char_o = (^[X2 : list_list_char]: (^[Y2 : exp_list_char]: (member605104934t_char @ (produc713467969t_char @ X2 @ Y2) @ bot_bo1987439961t_char)))))). % bot_empty_eq2
thf(fact_175_bot__empty__eq2, axiom,
    ((bot_bo1774766339_val_o = (^[X2 : list_exp_list_char]: (^[Y2 : produc515445032on_val]: (member184158439on_val @ (produc1725134254on_val @ X2 @ Y2) @ bot_bo509638026on_val)))))). % bot_empty_eq2
thf(fact_176_bot__empty__eq2, axiom,
    ((bot_bo2037552955char_o = (^[X2 : list_ty]: (^[Y2 : produc1109669680t_char]: (member1031340033t_char @ (produc1806338192t_char @ X2 @ Y2) @ bot_bo1380842404t_char)))))). % bot_empty_eq2
thf(fact_177_bot__empty__eq2, axiom,
    ((bot_bo1949275371_val_o = (^[X2 : nat > option2118145160on_val]: (^[Y2 : list_char > option_val]: (member652041809on_val @ (produc52622304on_val @ X2 @ Y2) @ bot_bo923954676on_val)))))). % bot_empty_eq2
thf(fact_178_is__singletonI_H, axiom,
    ((![A4 : set_Pr208351751on_val]: ((~ ((A4 = bot_bo1426907251on_val))) => ((![X : produc655058983on_val, Y5 : produc655058983on_val]: ((member1689761872on_val @ X @ A4) => ((member1689761872on_val @ Y5 @ A4) => (X = Y5)))) => (is_sin412639003on_val @ A4)))))). % is_singletonI'
thf(fact_179_As__map__Val, axiom,
    ((![Vs : list_val]: ((a_s_list_char @ (map_va1515327237t_char @ val_list_char @ Vs)) = (some_set_list_char @ bot_bo1263509675t_char))))). % As_map_Val
thf(fact_180_these__insert__Some, axiom,
    ((![X4 : produc266837688on_val, A4 : set_op1111598910on_val]: ((these_538817979on_val @ (insert1333207736on_val @ (some_P1299442195on_val @ X4) @ A4)) = (insert688092392on_val @ X4 @ (these_538817979on_val @ A4)))))). % these_insert_Some
thf(fact_181_these__insert__Some, axiom,
    ((![X4 : ty, A4 : set_option_ty]: ((these_ty @ (insert_option_ty @ (some_ty @ X4) @ A4)) = (insert_ty @ X4 @ (these_ty @ A4)))))). % these_insert_Some
thf(fact_182_in__these__eq, axiom,
    ((![X4 : produc655058983on_val, A4 : set_op597215309on_val]: ((member1689761872on_val @ X4 @ (these_232920164on_val @ A4)) = (member1784451990on_val @ (some_P1533929996on_val @ X4) @ A4))))). % in_these_eq
thf(fact_183_in__these__eq, axiom,
    ((![X4 : produc266837688on_val, A4 : set_op1111598910on_val]: ((member1296415951on_val @ X4 @ (these_538817979on_val @ A4)) = (member1048249375on_val @ (some_P1299442195on_val @ X4) @ A4))))). % in_these_eq
thf(fact_184_in__these__eq, axiom,
    ((![X4 : ty, A4 : set_option_ty]: ((member_ty @ X4 @ (these_ty @ A4)) = (member_option_ty @ (some_ty @ X4) @ A4))))). % in_these_eq
thf(fact_185_total__onI, axiom,
    ((![A4 : set_Pr1511552798on_val, R2 : set_Pr208351751on_val]: ((![X : produc335961278on_val, Y5 : produc335961278on_val]: ((member184158439on_val @ X @ A4) => ((member184158439on_val @ Y5 @ A4) => ((~ ((X = Y5))) => ((member1689761872on_val @ (produc245869591on_val @ X @ Y5) @ R2) | (member1689761872on_val @ (produc245869591on_val @ Y5 @ X) @ R2)))))) => (total_1812707394on_val @ A4 @ R2))))). % total_onI
thf(fact_186_total__onI, axiom,
    ((![A4 : set_Pr208351751on_val, R2 : set_Pr1301890247on_val]: ((![X : produc655058983on_val, Y5 : produc655058983on_val]: ((member1689761872on_val @ X @ A4) => ((member1689761872on_val @ Y5 @ A4) => ((~ ((X = Y5))) => ((member1743964944on_val @ (produc1802175319on_val @ X @ Y5) @ R2) | (member1743964944on_val @ (produc1802175319on_val @ Y5 @ X) @ R2)))))) => (total_1939788715on_val @ A4 @ R2))))). % total_onI
thf(fact_187_total__on__def, axiom,
    ((total_1812707394on_val = (^[A6 : set_Pr1511552798on_val]: (^[R3 : set_Pr208351751on_val]: (![X2 : produc335961278on_val]: (((member184158439on_val @ X2 @ A6)) => ((![Y2 : produc335961278on_val]: (((member184158439on_val @ Y2 @ A6)) => ((((~ ((X2 = Y2)))) => ((((member1689761872on_val @ (produc245869591on_val @ X2 @ Y2) @ R3)) | ((member1689761872on_val @ (produc245869591on_val @ Y2 @ X2) @ R3)))))))))))))))). % total_on_def
thf(fact_188_lconf__empty, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty]: (lconf_485928294t_char @ P @ H @ (^[X2 : list_char]: none_val) @ E)))). % lconf_empty
thf(fact_189_not__Some__eq, axiom,
    ((![X4 : option2118145160on_val]: ((![Y2 : produc266837688on_val]: (~ ((X4 = (some_P1299442195on_val @ Y2))))) = (X4 = none_P1535574167on_val))))). % not_Some_eq
thf(fact_190_not__Some__eq, axiom,
    ((![X4 : option_ty]: ((![Y2 : ty]: (~ ((X4 = (some_ty @ Y2))))) = (X4 = none_ty))))). % not_Some_eq
thf(fact_191_not__None__eq, axiom,
    ((![X4 : option2118145160on_val]: ((~ ((X4 = none_P1535574167on_val))) = (?[Y2 : produc266837688on_val]: (X4 = (some_P1299442195on_val @ Y2))))))). % not_None_eq
thf(fact_192_not__None__eq, axiom,
    ((![X4 : option_ty]: ((~ ((X4 = none_ty))) = (?[Y2 : ty]: (X4 = (some_ty @ Y2))))))). % not_None_eq

% Conjectures (2)
thf(conj_0, hypothesis,
    ((![Ts5 : list_ty]: ((wTrts @ p @ ha @ e @ (map_va1515327237t_char @ val_list_char @ vs) @ Ts5) => ((list_all2_ty_ty @ (widen_917054840t_char @ p) @ Ts5 @ ts) => ((t = t2) => thesis)))))).
thf(conj_1, conjecture,
    (thesis)).
