%   ORIGINAL: h4/alist/alist__to__fmap__MAP__matchable
% Assm: HL_TRUTH: T
% Assm: HL_FALSITY: ~F
% Assm: HL_BOOL_CASES: !t. (t <=> T) \/ (t <=> F)
% Assm: HL_EXT: !f g. (!x. f x = g x) ==> f = g
% Assm: h4/bool/ETA__AX: !t. (\x. t x) = t
% Assm: h4/bool/TRUTH: T
% Assm: h4/bool/IMP__ANTISYM__AX: !t2 t1. (t1 ==> t2) ==> (t2 ==> t1) ==> (t1 <=> t2)
% Assm: h4/bool/FORALL__SIMP: !t. (!x. t) <=> t
% Assm: h4/bool/IMP__CLAUSES_c4: !t. t ==> F <=> ~t
% Assm: h4/bool/NOT__CLAUSES_c0: !t. ~ ~t <=> t
% Assm: h4/bool/REFL__CLAUSE: !x. x = x <=> T
% Assm: h4/bool/EQ__CLAUSES_c1: !t. (t <=> T) <=> t
% Assm: h4/sat/NOT__NOT: !t. ~ ~t <=> t
% Assm: h4/sat/AND__INV__IMP: !A. A ==> ~A ==> F
% Assm: h4/sat/OR__DUAL2: !B A. ~(A \/ B) ==> F <=> (A ==> F) ==> ~B ==> F
% Assm: h4/sat/OR__DUAL3: !B A. ~(~A \/ B) ==> F <=> A ==> ~B ==> F
% Assm: h4/sat/AND__INV2: !A. (~A ==> F) ==> (A ==> F) ==> F
% Assm: h4/sat/dc__eq: !r q p. (p <=> q <=> r) <=> (p \/ q \/ r) /\ (p \/ ~r \/ ~q) /\ (q \/ ~r \/ ~p) /\ (r \/ ~q \/ ~p)
% Assm: h4/sat/dc__disj: !r q p. (p <=> q \/ r) <=> (p \/ ~q) /\ (p \/ ~r) /\ (q \/ r \/ ~p)
% Assm: h4/sat/dc__imp: !r q p. (p <=> q ==> r) <=> (p \/ q) /\ (p \/ ~r) /\ (~q \/ r \/ ~p)
% Assm: h4/sat/dc__neg: !q p. (p <=> ~q) <=> (p \/ q) /\ (~q \/ ~p)
% Assm: h4/sat/pth__ni1: !q p. ~(p ==> q) ==> p
% Assm: h4/sat/pth__ni2: !q p. ~(p ==> q) ==> ~q
% Assm: h4/sat/pth__no1: !q p. ~(p \/ q) ==> ~p
% Assm: h4/sat/pth__no2: !q p. ~(p \/ q) ==> ~q
% Assm: h4/sat/pth__nn: !p. ~ ~p ==> p
% Assm: h4/combin/C__DEF: h4/combin/C = (\f x y. f y x)
% Assm: h4/combin/o__DEF: !g f. h4/combin/o f g = (\x. f (g x))
% Assm: h4/alist/alist__to__fmap__MAP: !f2 f1 al. h4/pred__set/INJ f1 (h4/list/LIST__TO__SET (h4/list/MAP h4/pair/FST al)) h4/pred__set/UNIV ==> h4/alist/alist__to__fmap (h4/list/MAP (h4/pair/UNCURRY (\x y. h4/pair/_2C (f1 x) (f2 y))) al) = h4/finite__map/MAP__KEYS f1 (h4/finite__map/o__f f2 (h4/alist/alist__to__fmap al))
% Goal: !v mal f2 f1 al. h4/pred__set/INJ f1 (h4/list/LIST__TO__SET (h4/list/MAP h4/pair/FST al)) h4/pred__set/UNIV /\ mal = h4/list/MAP (h4/pair/UNCURRY (\x y. h4/pair/_2C (f1 x) (f2 y))) al /\ v = h4/finite__map/MAP__KEYS f1 (h4/finite__map/o__f f2 (h4/alist/alist__to__fmap al)) ==> h4/alist/alist__to__fmap mal = v
%   PROCESSED
% Assm [HLu_TRUTH]: T
% Assm [HLu_FALSITY]: ~F
% Assm [HLu_BOOLu_CASES]: !t. (t <=> T) \/ (t <=> F)
% Assm [HLu_EXT]: !f g. (!x. happ f x = happ g x) ==> f = g
% Assm [h4s_bools_ETAu_u_AX]: !t x. happ t x = happ t x
% Assm [h4s_bools_TRUTH]: T
% Assm [h4s_bools_IMPu_u_ANTISYMu_u_AX]: !t2 t1. (t1 ==> t2) ==> (t2 ==> t1) ==> (t1 <=> t2)
% Assm [h4s_bools_FORALLu_u_SIMP]: !t. (!x. t) <=> t
% Assm [h4s_bools_IMPu_u_CLAUSESu_c4]: !t. t ==> F <=> ~t
% Assm [h4s_bools_NOTu_u_CLAUSESu_c0]: !t. ~ ~t <=> t
% Assm [h4s_bools_REFLu_u_CLAUSE]: !x. x = x <=> T
% Assm [h4s_bools_EQu_u_CLAUSESu_c1]: !t. (t <=> T) <=> t
% Assm [h4s_sats_NOTu_u_NOT]: !t. ~ ~t <=> t
% Assm [h4s_sats_ANDu_u_INVu_u_IMP]: !A. A ==> ~A ==> F
% Assm [h4s_sats_ORu_u_DUAL2]: !B A. ~(A \/ B) ==> F <=> (A ==> F) ==> ~B ==> F
% Assm [h4s_sats_ORu_u_DUAL3]: !B A. ~(~A \/ B) ==> F <=> A ==> ~B ==> F
% Assm [h4s_sats_ANDu_u_INV2]: !A. (~A ==> F) ==> (A ==> F) ==> F
% Assm [h4s_sats_dcu_u_eq]: !r q p. (p <=> q <=> r) <=> (p \/ q \/ r) /\ (p \/ ~r \/ ~q) /\ (q \/ ~r \/ ~p) /\ (r \/ ~q \/ ~p)
% Assm [h4s_sats_dcu_u_disj]: !r q p. (p <=> q \/ r) <=> (p \/ ~q) /\ (p \/ ~r) /\ (q \/ r \/ ~p)
% Assm [h4s_sats_dcu_u_imp]: !r q p. (p <=> q ==> r) <=> (p \/ q) /\ (p \/ ~r) /\ (~q \/ r \/ ~p)
% Assm [h4s_sats_dcu_u_neg]: !q p. (p <=> ~q) <=> (p \/ q) /\ (~q \/ ~p)
% Assm [h4s_sats_pthu_u_ni1]: !q p. ~(p ==> q) ==> p
% Assm [h4s_sats_pthu_u_ni2]: !q p. ~(p ==> q) ==> ~q
% Assm [h4s_sats_pthu_u_no1]: !q p. ~(p \/ q) ==> ~p
% Assm [h4s_sats_pthu_u_no2]: !q p. ~(p \/ q) ==> ~q
% Assm [h4s_sats_pthu_u_nn]: !p. ~ ~p ==> p
% Assm [h4s_combins_Cu_u_DEF]: !x x x. h4/combin/C x x x = happ (happ x x) x
% Assm [h4s_combins_ou_u_DEF]: !g f x. h4/combin/o f g x = happ f (happ g x)
% Assm [h4s_alists_alistu_u_tou_u_fmapu_u_MAP]: !_1. (!f1 x f2 y. happ (happ (happ (happ _1 f1) x) f2) y = h4/pair/_2C (happ f1 x) (happ f2 y)) ==> (!_0. (!f1 f2 x. happ (happ (happ _0 f1) f2) x = happ (happ (happ _1 f1) x) f2) ==> (!f2 f1 al. h4/pred__set/INJ f1 (h4/list/LIST__TO__SET (h4/list/MAP h4/pair/FST al)) h4/pred__set/UNIV ==> h4/alist/alist__to__fmap (h4/list/MAP (h4/pair/UNCURRY (happ (happ _0 f1) f2)) al) = h4/finite__map/MAP__KEYS f1 (h4/finite__map/o__f f2 (h4/alist/alist__to__fmap al))))
% Goal: !_1. (!f1 x f2 y. happ (happ (happ (happ _1 f1) x) f2) y = h4/pair/_2C (happ f1 x) (happ f2 y)) ==> (!_0. (!f1 f2 x. happ (happ (happ _0 f1) f2) x = happ (happ (happ _1 f1) x) f2) ==> (!v mal f2 f1 al. h4/pred__set/INJ f1 (h4/list/LIST__TO__SET (h4/list/MAP h4/pair/FST al)) h4/pred__set/UNIV /\ mal = h4/list/MAP (h4/pair/UNCURRY (happ (happ _0 f1) f2)) al /\ v = h4/finite__map/MAP__KEYS f1 (h4/finite__map/o__f f2 (h4/alist/alist__to__fmap al)) ==> h4/alist/alist__to__fmap mal = v))
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q271175,TV_Q271171]: ![V_f, V_g]: (![V_x]: s(TV_Q271171,happ(s(t_fun(TV_Q271175,TV_Q271171),V_f),s(TV_Q271175,V_x))) = s(TV_Q271171,happ(s(t_fun(TV_Q271175,TV_Q271171),V_g),s(TV_Q271175,V_x))) => s(t_fun(TV_Q271175,TV_Q271171),V_f) = s(t_fun(TV_Q271175,TV_Q271171),V_g))).
fof(ah4s_bools_ETAu_u_AX, axiom, ![TV_u_27b,TV_u_27a]: ![V_t, V_x]: s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_t),s(TV_u_27a,V_x))) = s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_t),s(TV_u_27a,V_x)))).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_bools_IMPu_u_ANTISYMu_u_AX, axiom, ![V_t2, V_t1]: ((p(s(t_bool,V_t1)) => p(s(t_bool,V_t2))) => ((p(s(t_bool,V_t2)) => p(s(t_bool,V_t1))) => s(t_bool,V_t1) = s(t_bool,V_t2)))).
fof(ah4s_bools_FORALLu_u_SIMP, axiom, ![TV_u_27a]: ![V_t]: (![V_x]: p(s(t_bool,V_t)) <=> p(s(t_bool,V_t)))).
fof(ah4s_bools_IMPu_u_CLAUSESu_c4, axiom, ![V_t]: ((p(s(t_bool,V_t)) => p(s(t_bool,f))) <=> ~ (p(s(t_bool,V_t))))).
fof(ah4s_bools_NOTu_u_CLAUSESu_c0, axiom, ![V_t]: (~ (~ (p(s(t_bool,V_t)))) <=> p(s(t_bool,V_t)))).
fof(ah4s_bools_REFLu_u_CLAUSE, axiom, ![TV_u_27a]: ![V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_x) <=> p(s(t_bool,t)))).
fof(ah4s_bools_EQu_u_CLAUSESu_c1, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) <=> p(s(t_bool,V_t)))).
fof(ah4s_sats_NOTu_u_NOT, axiom, ![V_t]: (~ (~ (p(s(t_bool,V_t)))) <=> p(s(t_bool,V_t)))).
fof(ah4s_sats_ANDu_u_INVu_u_IMP, axiom, ![V_A]: (p(s(t_bool,V_A)) => (~ (p(s(t_bool,V_A))) => p(s(t_bool,f))))).
fof(ah4s_sats_ORu_u_DUAL2, axiom, ![V_B, V_A]: ((~ ((p(s(t_bool,V_A)) | p(s(t_bool,V_B)))) => p(s(t_bool,f))) <=> ((p(s(t_bool,V_A)) => p(s(t_bool,f))) => (~ (p(s(t_bool,V_B))) => p(s(t_bool,f)))))).
fof(ah4s_sats_ORu_u_DUAL3, axiom, ![V_B, V_A]: ((~ ((~ (p(s(t_bool,V_A))) | p(s(t_bool,V_B)))) => p(s(t_bool,f))) <=> (p(s(t_bool,V_A)) => (~ (p(s(t_bool,V_B))) => p(s(t_bool,f)))))).
fof(ah4s_sats_ANDu_u_INV2, axiom, ![V_A]: ((~ (p(s(t_bool,V_A))) => p(s(t_bool,f))) => ((p(s(t_bool,V_A)) => p(s(t_bool,f))) => p(s(t_bool,f))))).
fof(ah4s_sats_dcu_u_eq, axiom, ![V_r, V_q, V_p]: ((p(s(t_bool,V_p)) <=> s(t_bool,V_q) = s(t_bool,V_r)) <=> ((p(s(t_bool,V_p)) | (p(s(t_bool,V_q)) | p(s(t_bool,V_r)))) & ((p(s(t_bool,V_p)) | (~ (p(s(t_bool,V_r))) | ~ (p(s(t_bool,V_q))))) & ((p(s(t_bool,V_q)) | (~ (p(s(t_bool,V_r))) | ~ (p(s(t_bool,V_p))))) & (p(s(t_bool,V_r)) | (~ (p(s(t_bool,V_q))) | ~ (p(s(t_bool,V_p)))))))))).
fof(ah4s_sats_dcu_u_disj, axiom, ![V_r, V_q, V_p]: ((p(s(t_bool,V_p)) <=> (p(s(t_bool,V_q)) | p(s(t_bool,V_r)))) <=> ((p(s(t_bool,V_p)) | ~ (p(s(t_bool,V_q)))) & ((p(s(t_bool,V_p)) | ~ (p(s(t_bool,V_r)))) & (p(s(t_bool,V_q)) | (p(s(t_bool,V_r)) | ~ (p(s(t_bool,V_p))))))))).
fof(ah4s_sats_dcu_u_imp, axiom, ![V_r, V_q, V_p]: ((p(s(t_bool,V_p)) <=> (p(s(t_bool,V_q)) => p(s(t_bool,V_r)))) <=> ((p(s(t_bool,V_p)) | p(s(t_bool,V_q))) & ((p(s(t_bool,V_p)) | ~ (p(s(t_bool,V_r)))) & (~ (p(s(t_bool,V_q))) | (p(s(t_bool,V_r)) | ~ (p(s(t_bool,V_p))))))))).
fof(ah4s_sats_dcu_u_neg, axiom, ![V_q, V_p]: ((p(s(t_bool,V_p)) <=> ~ (p(s(t_bool,V_q)))) <=> ((p(s(t_bool,V_p)) | p(s(t_bool,V_q))) & (~ (p(s(t_bool,V_q))) | ~ (p(s(t_bool,V_p))))))).
fof(ah4s_sats_pthu_u_ni1, axiom, ![V_q, V_p]: (~ ((p(s(t_bool,V_p)) => p(s(t_bool,V_q)))) => p(s(t_bool,V_p)))).
fof(ah4s_sats_pthu_u_ni2, axiom, ![V_q, V_p]: (~ ((p(s(t_bool,V_p)) => p(s(t_bool,V_q)))) => ~ (p(s(t_bool,V_q))))).
fof(ah4s_sats_pthu_u_no1, axiom, ![V_q, V_p]: (~ ((p(s(t_bool,V_p)) | p(s(t_bool,V_q)))) => ~ (p(s(t_bool,V_p))))).
fof(ah4s_sats_pthu_u_no2, axiom, ![V_q, V_p]: (~ ((p(s(t_bool,V_p)) | p(s(t_bool,V_q)))) => ~ (p(s(t_bool,V_q))))).
fof(ah4s_sats_pthu_u_nn, axiom, ![V_p]: (~ (~ (p(s(t_bool,V_p)))) => p(s(t_bool,V_p)))).
fof(ah4s_combins_Cu_u_DEF, axiom, ![TV_u_27c,TV_u_27a,TV_u_27b]: ![V_x, V_x0, V_x1]: s(TV_u_27c,h4s_combins_c(s(t_fun(TV_u_27a,t_fun(TV_u_27b,TV_u_27c)),V_x),s(TV_u_27b,V_x0),s(TV_u_27a,V_x1))) = s(TV_u_27c,happ(s(t_fun(TV_u_27b,TV_u_27c),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,TV_u_27c)),V_x),s(TV_u_27a,V_x1))),s(TV_u_27b,V_x0)))).
fof(ah4s_combins_ou_u_DEF, axiom, ![TV_u_27b,TV_u_27c,TV_u_27a]: ![V_g, V_f, V_x]: s(TV_u_27b,h4s_combins_o(s(t_fun(TV_u_27c,TV_u_27b),V_f),s(t_fun(TV_u_27a,TV_u_27c),V_g),s(TV_u_27a,V_x))) = s(TV_u_27b,happ(s(t_fun(TV_u_27c,TV_u_27b),V_f),s(TV_u_27c,happ(s(t_fun(TV_u_27a,TV_u_27c),V_g),s(TV_u_27a,V_x)))))).
fof(ah4s_alists_alistu_u_tou_u_fmapu_u_MAP, axiom, ![TV_u_27b,TV_u_27d,TV_u_27a,TV_u_27c]: ![V_uu_1]: (![V_f1, V_x, V_f2, V_y]: s(t_h4s_pairs_prod(TV_u_27b,TV_u_27d),happ(s(t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_1),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(TV_u_27a,V_x))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))),s(TV_u_27c,V_y))) = s(t_h4s_pairs_prod(TV_u_27b,TV_u_27d),h4s_pairs_u_2c(s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_f1),s(TV_u_27a,V_x))),s(TV_u_27d,happ(s(t_fun(TV_u_27c,TV_u_27d),V_f2),s(TV_u_27c,V_y))))) => ![V_uu_0]: (![V_f1, V_f2, V_x]: s(t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_0),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_1),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(TV_u_27a,V_x))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))) => ![V_f2, V_f1, V_al]: (p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(TV_u_27a,TV_u_27b),V_f1),s(t_fun(TV_u_27a,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(TV_u_27a),h4s_lists_map(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27c),TV_u_27a),h4s_pairs_fst),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27c)),V_al))))),s(t_fun(TV_u_27b,t_bool),h4s_predu_u_sets_univ)))) => s(t_h4s_finiteu_u_maps_fmap(TV_u_27b,TV_u_27d),h4s_alists_alistu_u_tou_u_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),h4s_lists_map(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27c),t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),h4s_pairs_uncurry(s(t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_0),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27c)),V_al))))) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27b,TV_u_27d),h4s_finiteu_u_maps_mapu_u_keys(s(t_fun(TV_u_27a,TV_u_27b),V_f1),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27d),h4s_finiteu_u_maps_ou_u_f(s(t_fun(TV_u_27c,TV_u_27d),V_f2),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27c),h4s_alists_alistu_u_tou_u_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27c)),V_al))))))))))).
fof(ch4s_alists_alistu_u_tou_u_fmapu_u_MAPu_u_matchable, conjecture, ![TV_u_27a,TV_u_27c,TV_u_27b,TV_u_27d]: ![V_uu_1]: (![V_f1, V_x, V_f2, V_y]: s(t_h4s_pairs_prod(TV_u_27b,TV_u_27d),happ(s(t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_1),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(TV_u_27a,V_x))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))),s(TV_u_27c,V_y))) = s(t_h4s_pairs_prod(TV_u_27b,TV_u_27d),h4s_pairs_u_2c(s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_f1),s(TV_u_27a,V_x))),s(TV_u_27d,happ(s(t_fun(TV_u_27c,TV_u_27d),V_f2),s(TV_u_27c,V_y))))) => ![V_uu_0]: (![V_f1, V_f2, V_x]: s(t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_0),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_1),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(TV_u_27a,V_x))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))) => ![V_v, V_mal, V_f2, V_f1, V_al]: ((p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(TV_u_27a,TV_u_27b),V_f1),s(t_fun(TV_u_27a,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(TV_u_27a),h4s_lists_map(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27c),TV_u_27a),h4s_pairs_fst),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27c)),V_al))))),s(t_fun(TV_u_27b,t_bool),h4s_predu_u_sets_univ)))) & (s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),V_mal) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),h4s_lists_map(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27c),t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),h4s_pairs_uncurry(s(t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))),happ(s(t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d)))),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(t_fun(TV_u_27c,TV_u_27d),t_fun(TV_u_27a,t_fun(TV_u_27c,t_h4s_pairs_prod(TV_u_27b,TV_u_27d))))),V_uu_0),s(t_fun(TV_u_27a,TV_u_27b),V_f1))),s(t_fun(TV_u_27c,TV_u_27d),V_f2))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27c)),V_al))) & s(t_h4s_finiteu_u_maps_fmap(TV_u_27b,TV_u_27d),V_v) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27b,TV_u_27d),h4s_finiteu_u_maps_mapu_u_keys(s(t_fun(TV_u_27a,TV_u_27b),V_f1),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27d),h4s_finiteu_u_maps_ou_u_f(s(t_fun(TV_u_27c,TV_u_27d),V_f2),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27c),h4s_alists_alistu_u_tou_u_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27c)),V_al))))))))) => s(t_h4s_finiteu_u_maps_fmap(TV_u_27b,TV_u_27d),h4s_alists_alistu_u_tou_u_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27b,TV_u_27d)),V_mal))) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27b,TV_u_27d),V_v))))).
