ITP001 Axioms: ITP112^4.ax
%------------------------------------------------------------------------------
% File : ITP112^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 syntactic export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : patricia_casts.ax [Gau19]
% : HL4112^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 849 ( 378 unt; 449 typ; 0 def)
% Number of atoms : 525 ( 408 equ; 1 cnn)
% Maximal formula atoms : 7 ( 0 avg)
% Number of connectives : 9390 ( 1 ~; 2 |; 7 &;9348 @)
% ( 17 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg;9348 nst)
% Number of types : 12 ( 11 usr)
% Number of type conns : 1182 (1182 >; 0 *; 0 +; 0 <<)
% Number of symbols : 440 ( 438 usr; 118 con; 0-4 aty)
% Number of variables : 821 ( 0 ^ 812 !; 9 ?; 821 :)
% SPC : TH0_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
thf(u,type,
u: $tType ).
thf(d,type,
d: $tType ).
thf(du,type,
du: $tType ).
thf(mono_2Etyop_2Estring_2Echar,type,
mono_2Etyop_2Estring_2Echar: $tType ).
thf(mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: $tType ).
thf(mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: $tType ).
thf(mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,type,
mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29: $tType ).
thf(mono_2Etyop_2Enum_2Enum,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(mono_2Etyop_2Eone_2Eone,type,
mono_2Etyop_2Eone_2Eone: $tType ).
thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29: $tType ).
thf(mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,type,
mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29: $tType ).
thf(tyop_2Efcp_2Ecart,type,
tyop_2Efcp_2Ecart: d > d > d ).
thf(tyop_2Eind__type_2Erecspace,type,
tyop_2Eind__type_2Erecspace: d > d ).
thf(tyop_2Elist_2Elist,type,
tyop_2Elist_2Elist: d > d ).
thf(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
thf(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: d > d > d ).
thf(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: d ).
thf(tyop_2Eone_2Eone,type,
tyop_2Eone_2Eone: d ).
thf(tyop_2Eoption_2Eoption,type,
tyop_2Eoption_2Eoption: d > d ).
thf(tyop_2Epair_2Eprod,type,
tyop_2Epair_2Eprod: d > d > d ).
thf(tyop_2Epatricia_2Eptree,type,
tyop_2Epatricia_2Eptree: d > d ).
thf(tyop_2Epatricia__casts_2Eword__ptree,type,
tyop_2Epatricia__casts_2Eword__ptree: d > d > d ).
thf(tyop_2Estring_2Echar,type,
tyop_2Estring_2Echar: d ).
thf(s,type,
s: d > u > du ).
thf(app_2E2,type,
app_2E2: du > du > u ).
thf(combin_i_2E0,type,
combin_i_2E0: u ).
thf(combin_k_2E0,type,
combin_k_2E0: u ).
thf(combin_s_2E0,type,
combin_s_2E0: u ).
thf(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: u ).
thf(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(c_2Earithmetic_2E_2A_2E0,type,
c_2Earithmetic_2E_2A_2E0: u ).
thf(c_2Earithmetic_2E_2A_2E2,type,
c_2Earithmetic_2E_2A_2E2: du > du > u ).
thf(c_2Earithmetic_2E_2B_2E0,type,
c_2Earithmetic_2E_2B_2E0: u ).
thf(c_2Earithmetic_2E_2B_2E2,type,
c_2Earithmetic_2E_2B_2E2: du > du > u ).
thf(c_2Epair_2E_2C_2E0,type,
c_2Epair_2E_2C_2E0: u ).
thf(c_2Epair_2E_2C_2E2,type,
c_2Epair_2E_2C_2E2: du > du > u ).
thf(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(c_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: du > du > u ).
thf(c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
thf(c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
thf(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(c_2Earithmetic_2E_3E_2E0,type,
c_2Earithmetic_2E_3E_2E0: u ).
thf(c_2Earithmetic_2E_3E_2E1,type,
c_2Earithmetic_2E_3E_2E1: du > u ).
thf(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
thf(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(c_2Epatricia_2EADD_2E0,type,
c_2Epatricia_2EADD_2E0: u ).
thf(c_2Epatricia_2EADD_2E2,type,
c_2Epatricia_2EADD_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EADD__LISTs_2E0,type,
c_2Epatricia__casts_2EADD__LISTs_2E0: u ).
thf(c_2Epatricia__casts_2EADD__LISTw_2E0,type,
c_2Epatricia__casts_2EADD__LISTw_2E0: u ).
thf(c_2Epatricia__casts_2EADDs_2E0,type,
c_2Epatricia__casts_2EADDs_2E0: u ).
thf(c_2Epatricia__casts_2EADDs_2E2,type,
c_2Epatricia__casts_2EADDs_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EADDw_2E0,type,
c_2Epatricia__casts_2EADDw_2E0: u ).
thf(c_2Epatricia__casts_2EADDw_2E2,type,
c_2Epatricia__casts_2EADDw_2E2: du > du > u ).
thf(c_2Elist_2EAPPEND_2E0,type,
c_2Elist_2EAPPEND_2E0: u ).
thf(c_2Elist_2EAPPEND_2E2,type,
c_2Elist_2EAPPEND_2E2: du > du > u ).
thf(c_2Earithmetic_2EBIT1_2E0,type,
c_2Earithmetic_2EBIT1_2E0: u ).
thf(c_2Earithmetic_2EBIT1_2E1,type,
c_2Earithmetic_2EBIT1_2E1: du > u ).
thf(c_2Earithmetic_2EBIT2_2E0,type,
c_2Earithmetic_2EBIT2_2E0: u ).
thf(c_2Earithmetic_2EBIT2_2E1,type,
c_2Earithmetic_2EBIT2_2E1: du > u ).
thf(c_2Eind__type_2EBOTTOM_2E0,type,
c_2Eind__type_2EBOTTOM_2E0: u ).
thf(c_2Estring_2ECHR_2E0,type,
c_2Estring_2ECHR_2E0: u ).
thf(c_2Estring_2ECHR_2E1,type,
c_2Estring_2ECHR_2E1: du > u ).
thf(c_2Elist_2ECONS_2E0,type,
c_2Elist_2ECONS_2E0: u ).
thf(c_2Elist_2ECONS_2E2,type,
c_2Elist_2ECONS_2E2: du > du > u ).
thf(c_2Eind__type_2ECONSTR_2E0,type,
c_2Eind__type_2ECONSTR_2E0: u ).
thf(c_2Eind__type_2ECONSTR_2E3,type,
c_2Eind__type_2ECONSTR_2E3: du > du > du > u ).
thf(c_2Ebool_2EDATATYPE_2E0,type,
c_2Ebool_2EDATATYPE_2E0: u ).
thf(c_2Ebool_2EDATATYPE_2E1,type,
c_2Ebool_2EDATATYPE_2E1: du > u ).
thf(c_2Epatricia_2EDEPTH_2E0,type,
c_2Epatricia_2EDEPTH_2E0: u ).
thf(c_2Epatricia_2EDEPTH_2E1,type,
c_2Epatricia_2EDEPTH_2E1: du > u ).
thf(c_2Epatricia__casts_2EDEPTHw_2E0,type,
c_2Epatricia__casts_2EDEPTHw_2E0: u ).
thf(c_2Epatricia__casts_2EDEPTHw_2E1,type,
c_2Epatricia__casts_2EDEPTHw_2E1: du > u ).
thf(c_2Earithmetic_2EDIV_2E0,type,
c_2Earithmetic_2EDIV_2E0: u ).
thf(c_2Earithmetic_2EDIV_2E2,type,
c_2Earithmetic_2EDIV_2E2: du > du > u ).
thf(c_2Elist_2EEVERY_2E0,type,
c_2Elist_2EEVERY_2E0: u ).
thf(c_2Elist_2EEVERY_2E2,type,
c_2Elist_2EEVERY_2E2: du > du > u ).
thf(c_2Epatricia_2EEVERY__LEAF_2E0,type,
c_2Epatricia_2EEVERY__LEAF_2E0: u ).
thf(c_2Epatricia_2EEVERY__LEAF_2E2,type,
c_2Epatricia_2EEVERY__LEAF_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EEVERY__LEAFw_2E0,type,
c_2Epatricia__casts_2EEVERY__LEAFw_2E0: u ).
thf(c_2Epatricia__casts_2EEVERY__LEAFw_2E2,type,
c_2Epatricia__casts_2EEVERY__LEAFw_2E2: du > du > u ).
thf(c_2Epatricia_2EEXISTS__LEAF_2E0,type,
c_2Epatricia_2EEXISTS__LEAF_2E0: u ).
thf(c_2Epatricia_2EEXISTS__LEAF_2E2,type,
c_2Epatricia_2EEXISTS__LEAF_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EEXISTS__LEAFw_2E0,type,
c_2Epatricia__casts_2EEXISTS__LEAFw_2E0: u ).
thf(c_2Epatricia__casts_2EEXISTS__LEAFw_2E2,type,
c_2Epatricia__casts_2EEXISTS__LEAFw_2E2: du > du > u ).
thf(c_2Earithmetic_2EEXP_2E0,type,
c_2Earithmetic_2EEXP_2E0: u ).
thf(c_2Earithmetic_2EEXP_2E2,type,
c_2Earithmetic_2EEXP_2E2: du > du > u ).
thf(c_2Epatricia_2EEmpty_2E0,type,
c_2Epatricia_2EEmpty_2E0: u ).
thf(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
thf(c_2Epatricia__casts_2EFINDs_2E0,type,
c_2Epatricia__casts_2EFINDs_2E0: u ).
thf(c_2Epatricia__casts_2EFINDs_2E2,type,
c_2Epatricia__casts_2EFINDs_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EFINDw_2E0,type,
c_2Epatricia__casts_2EFINDw_2E0: u ).
thf(c_2Epatricia__casts_2EFINDw_2E2,type,
c_2Epatricia__casts_2EFINDw_2E2: du > du > u ).
thf(c_2Elist_2EFOLDL_2E0,type,
c_2Elist_2EFOLDL_2E0: u ).
thf(c_2Elist_2EFOLDL_2E1,type,
c_2Elist_2EFOLDL_2E1: du > u ).
thf(c_2Epred__set_2EIMAGE_2E0,type,
c_2Epred__set_2EIMAGE_2E0: u ).
thf(c_2Epred__set_2EIMAGE_2E2,type,
c_2Epred__set_2EIMAGE_2E2: du > du > u ).
thf(c_2Ebool_2EIN_2E0,type,
c_2Ebool_2EIN_2E0: u ).
thf(c_2Ebool_2EIN_2E2,type,
c_2Ebool_2EIN_2E2: du > du > u ).
thf(c_2Epatricia_2EINSERT__PTREE_2E0,type,
c_2Epatricia_2EINSERT__PTREE_2E0: u ).
thf(c_2Epatricia_2EINSERT__PTREE_2E2,type,
c_2Epatricia_2EINSERT__PTREE_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EINSERT__PTREEs_2E0,type,
c_2Epatricia__casts_2EINSERT__PTREEs_2E0: u ).
thf(c_2Epatricia__casts_2EINSERT__PTREEs_2E2,type,
c_2Epatricia__casts_2EINSERT__PTREEs_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EINSERT__PTREEw_2E0,type,
c_2Epatricia__casts_2EINSERT__PTREEw_2E0: u ).
thf(c_2Epatricia__casts_2EINSERT__PTREEw_2E2,type,
c_2Epatricia__casts_2EINSERT__PTREEw_2E2: du > du > u ).
thf(c_2Epatricia_2EIN__PTREE_2E0,type,
c_2Epatricia_2EIN__PTREE_2E0: u ).
thf(c_2Epatricia_2EIN__PTREE_2E2,type,
c_2Epatricia_2EIN__PTREE_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EIN__PTREEs_2E0,type,
c_2Epatricia__casts_2EIN__PTREEs_2E0: u ).
thf(c_2Epatricia__casts_2EIN__PTREEs_2E2,type,
c_2Epatricia__casts_2EIN__PTREEs_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EIN__PTREEw_2E0,type,
c_2Epatricia__casts_2EIN__PTREEw_2E0: u ).
thf(c_2Epatricia__casts_2EIN__PTREEw_2E2,type,
c_2Epatricia__casts_2EIN__PTREEw_2E2: du > du > u ).
thf(c_2Ecombin_2EK_2E0,type,
c_2Ecombin_2EK_2E0: u ).
thf(c_2Ecombin_2EK_2E1,type,
c_2Ecombin_2EK_2E1: du > u ).
thf(c_2Epatricia__casts_2EKEYSs_2E0,type,
c_2Epatricia__casts_2EKEYSs_2E0: u ).
thf(c_2Epatricia__casts_2EKEYSs_2E1,type,
c_2Epatricia__casts_2EKEYSs_2E1: du > u ).
thf(c_2Epatricia__casts_2EKEYSw_2E0,type,
c_2Epatricia__casts_2EKEYSw_2E0: u ).
thf(c_2Epatricia__casts_2EKEYSw_2E1,type,
c_2Epatricia__casts_2EKEYSw_2E1: du > u ).
thf(c_2Elist_2ELENGTH_2E0,type,
c_2Elist_2ELENGTH_2E0: u ).
thf(c_2Elist_2ELENGTH_2E1,type,
c_2Elist_2ELENGTH_2E1: du > u ).
thf(c_2Elist_2ELIST__TO__SET_2E0,type,
c_2Elist_2ELIST__TO__SET_2E0: u ).
thf(c_2Elist_2ELIST__TO__SET_2E1,type,
c_2Elist_2ELIST__TO__SET_2E1: du > u ).
thf(c_2Elogroot_2ELOG_2E0,type,
c_2Elogroot_2ELOG_2E0: u ).
thf(c_2Elogroot_2ELOG_2E2,type,
c_2Elogroot_2ELOG_2E2: du > du > u ).
thf(c_2Elist_2EMAP_2E0,type,
c_2Elist_2EMAP_2E0: u ).
thf(c_2Elist_2EMAP_2E2,type,
c_2Elist_2EMAP_2E2: du > du > u ).
thf(c_2Elist_2ENIL_2E0,type,
c_2Elist_2ENIL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E0,type,
c_2Earithmetic_2ENUMERAL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E1,type,
c_2Earithmetic_2ENUMERAL_2E1: du > u ).
thf(c_2Estring_2EORD_2E0,type,
c_2Estring_2EORD_2E0: u ).
thf(c_2Epatricia_2EPEEK_2E0,type,
c_2Epatricia_2EPEEK_2E0: u ).
thf(c_2Epatricia_2EPEEK_2E2,type,
c_2Epatricia_2EPEEK_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EPEEKs_2E0,type,
c_2Epatricia__casts_2EPEEKs_2E0: u ).
thf(c_2Epatricia__casts_2EPEEKs_2E2,type,
c_2Epatricia__casts_2EPEEKs_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EPEEKw_2E0,type,
c_2Epatricia__casts_2EPEEKw_2E0: u ).
thf(c_2Epatricia__casts_2EPEEKw_2E2,type,
c_2Epatricia__casts_2EPEEKw_2E2: du > du > u ).
thf(c_2Epatricia_2EPTREE__OF__NUMSET_2E0,type,
c_2Epatricia_2EPTREE__OF__NUMSET_2E0: u ).
thf(c_2Epatricia_2EPTREE__OF__NUMSET_2E2,type,
c_2Epatricia_2EPTREE__OF__NUMSET_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EPTREE__OF__STRINGSET_2E0,type,
c_2Epatricia__casts_2EPTREE__OF__STRINGSET_2E0: u ).
thf(c_2Epatricia__casts_2EPTREE__OF__STRINGSET_2E2,type,
c_2Epatricia__casts_2EPTREE__OF__STRINGSET_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EPTREE__OF__WORDSET_2E0,type,
c_2Epatricia__casts_2EPTREE__OF__WORDSET_2E0: u ).
thf(c_2Epatricia__casts_2EPTREE__OF__WORDSET_2E2,type,
c_2Epatricia__casts_2EPTREE__OF__WORDSET_2E2: du > du > u ).
thf(c_2Esorting_2EQSORT_2E0,type,
c_2Esorting_2EQSORT_2E0: u ).
thf(c_2Esorting_2EQSORT_2E2,type,
c_2Esorting_2EQSORT_2E2: du > du > u ).
thf(c_2Epatricia_2EREMOVE_2E0,type,
c_2Epatricia_2EREMOVE_2E0: u ).
thf(c_2Epatricia_2EREMOVE_2E2,type,
c_2Epatricia_2EREMOVE_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EREMOVEs_2E0,type,
c_2Epatricia__casts_2EREMOVEs_2E0: u ).
thf(c_2Epatricia__casts_2EREMOVEs_2E2,type,
c_2Epatricia__casts_2EREMOVEs_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EREMOVEw_2E0,type,
c_2Epatricia__casts_2EREMOVEw_2E0: u ).
thf(c_2Epatricia__casts_2EREMOVEw_2E2,type,
c_2Epatricia__casts_2EREMOVEw_2E2: du > du > u ).
thf(c_2Elist_2EREVERSE_2E0,type,
c_2Elist_2EREVERSE_2E0: u ).
thf(c_2Elist_2EREVERSE_2E1,type,
c_2Elist_2EREVERSE_2E1: du > u ).
thf(c_2Epatricia_2ESIZE_2E0,type,
c_2Epatricia_2ESIZE_2E0: u ).
thf(c_2Epatricia_2ESIZE_2E1,type,
c_2Epatricia_2ESIZE_2E1: du > u ).
thf(c_2Epatricia__casts_2ESIZEw_2E0,type,
c_2Epatricia__casts_2ESIZEw_2E0: u ).
thf(c_2Epatricia__casts_2ESIZEw_2E1,type,
c_2Epatricia__casts_2ESIZEw_2E1: du > u ).
thf(c_2Epatricia__casts_2ESKIP1_2E0,type,
c_2Epatricia__casts_2ESKIP1_2E0: u ).
thf(c_2Epatricia__casts_2ESKIP1_2E1,type,
c_2Epatricia__casts_2ESKIP1_2E1: du > u ).
thf(c_2Epatricia__casts_2ESOME__PTREE_2E0,type,
c_2Epatricia__casts_2ESOME__PTREE_2E0: u ).
thf(c_2Epatricia__casts_2ESOME__PTREE_2E1,type,
c_2Epatricia__casts_2ESOME__PTREE_2E1: du > u ).
thf(c_2Epatricia__casts_2ESTRINGSET__OF__PTREE_2E0,type,
c_2Epatricia__casts_2ESTRINGSET__OF__PTREE_2E0: u ).
thf(c_2Epatricia__casts_2ESTRINGSET__OF__PTREE_2E1,type,
c_2Epatricia__casts_2ESTRINGSET__OF__PTREE_2E1: du > u ).
thf(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: u ).
thf(c_2Eoption_2ETHE_2E0,type,
c_2Eoption_2ETHE_2E0: u ).
thf(c_2Eoption_2ETHE_2E1,type,
c_2Eoption_2ETHE_2E1: du > u ).
thf(c_2Epatricia__casts_2ETHE__PTREE_2E0,type,
c_2Epatricia__casts_2ETHE__PTREE_2E0: u ).
thf(c_2Epatricia__casts_2ETHE__PTREE_2E1,type,
c_2Epatricia__casts_2ETHE__PTREE_2E1: du > u ).
thf(c_2Epatricia_2ETRANSFORM_2E0,type,
c_2Epatricia_2ETRANSFORM_2E0: u ).
thf(c_2Epatricia_2ETRANSFORM_2E2,type,
c_2Epatricia_2ETRANSFORM_2E2: du > du > u ).
thf(c_2Epatricia__casts_2ETRANSFORMw_2E0,type,
c_2Epatricia__casts_2ETRANSFORMw_2E0: u ).
thf(c_2Epatricia__casts_2ETRANSFORMw_2E2,type,
c_2Epatricia__casts_2ETRANSFORMw_2E2: du > du > u ).
thf(c_2Epatricia_2ETRAVERSE_2E0,type,
c_2Epatricia_2ETRAVERSE_2E0: u ).
thf(c_2Epatricia_2ETRAVERSE_2E1,type,
c_2Epatricia_2ETRAVERSE_2E1: du > u ).
thf(c_2Epatricia__casts_2ETRAVERSEs_2E0,type,
c_2Epatricia__casts_2ETRAVERSEs_2E0: u ).
thf(c_2Epatricia__casts_2ETRAVERSEs_2E1,type,
c_2Epatricia__casts_2ETRAVERSEs_2E1: du > u ).
thf(c_2Epatricia__casts_2ETRAVERSEw_2E0,type,
c_2Epatricia__casts_2ETRAVERSEw_2E0: u ).
thf(c_2Epatricia__casts_2ETRAVERSEw_2E1,type,
c_2Epatricia__casts_2ETRAVERSEw_2E1: du > u ).
thf(c_2Ebool_2ETYPE__DEFINITION_2E0,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
thf(c_2Ebool_2ETYPE__DEFINITION_2E2,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: du > du > u ).
thf(c_2Epatricia_2EUNION__PTREE_2E0,type,
c_2Epatricia_2EUNION__PTREE_2E0: u ).
thf(c_2Epatricia_2EUNION__PTREE_2E2,type,
c_2Epatricia_2EUNION__PTREE_2E2: du > du > u ).
thf(c_2Epatricia__casts_2EUNION__PTREEw_2E0,type,
c_2Epatricia__casts_2EUNION__PTREEw_2E0: u ).
thf(c_2Epatricia__casts_2EUNION__PTREEw_2E2,type,
c_2Epatricia__casts_2EUNION__PTREEw_2E2: du > du > u ).
thf(c_2Epred__set_2EUNIV_2E0,type,
c_2Epred__set_2EUNIV_2E0: u ).
thf(c_2Epatricia__casts_2EWORDSET__OF__PTREE_2E0,type,
c_2Epatricia__casts_2EWORDSET__OF__PTREE_2E0: u ).
thf(c_2Epatricia__casts_2EWORDSET__OF__PTREE_2E1,type,
c_2Epatricia__casts_2EWORDSET__OF__PTREE_2E1: du > u ).
thf(c_2Epatricia__casts_2EWordEmpty_2E0,type,
c_2Epatricia__casts_2EWordEmpty_2E0: u ).
thf(c_2Epatricia__casts_2EWord__ptree_2E0,type,
c_2Epatricia__casts_2EWord__ptree_2E0: u ).
thf(c_2Epatricia__casts_2EWord__ptree_2E2,type,
c_2Epatricia__casts_2EWord__ptree_2E2: du > du > u ).
thf(c_2Earithmetic_2EZERO_2E0,type,
c_2Earithmetic_2EZERO_2E0: u ).
thf(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(c_2Enumposrep_2El2n_2E0,type,
c_2Enumposrep_2El2n_2E0: u ).
thf(c_2Enumposrep_2El2n_2E2,type,
c_2Enumposrep_2El2n_2E2: du > du > u ).
thf(c_2EASCIInumbers_2En2s_2E0,type,
c_2EASCIInumbers_2En2s_2E0: u ).
thf(c_2EASCIInumbers_2En2s_2E3,type,
c_2EASCIInumbers_2En2s_2E3: du > du > du > u ).
thf(c_2Ewords_2En2w_2E0,type,
c_2Ewords_2En2w_2E0: u ).
thf(c_2Ewords_2En2w_2E1,type,
c_2Ewords_2En2w_2E1: du > u ).
thf(c_2Epatricia__casts_2Enum__to__string_2E0,type,
c_2Epatricia__casts_2Enum__to__string_2E0: u ).
thf(c_2Epatricia__casts_2Enum__to__string_2E1,type,
c_2Epatricia__casts_2Enum__to__string_2E1: du > u ).
thf(c_2Eone_2Eone_2E0,type,
c_2Eone_2Eone_2E0: u ).
thf(c_2Epatricia_2Eptree__size_2E0,type,
c_2Epatricia_2Eptree__size_2E0: u ).
thf(c_2Epatricia_2Eptree__size_2E2,type,
c_2Epatricia_2Eptree__size_2E2: du > du > u ).
thf(c_2EASCIInumbers_2Es2n_2E0,type,
c_2EASCIInumbers_2Es2n_2E0: u ).
thf(c_2EASCIInumbers_2Es2n_2E3,type,
c_2EASCIInumbers_2Es2n_2E3: du > du > du > u ).
thf(c_2Estring_2Estring__lt_2E0,type,
c_2Estring_2Estring__lt_2E0: u ).
thf(c_2Epatricia__casts_2Estring__to__num_2E0,type,
c_2Epatricia__casts_2Estring__to__num_2E0: u ).
thf(c_2Epatricia__casts_2Estring__to__num_2E1,type,
c_2Epatricia__casts_2Estring__to__num_2E1: du > u ).
thf(c_2Ewords_2Ew2n_2E0,type,
c_2Ewords_2Ew2n_2E0: u ).
thf(c_2Ewords_2Ew2n_2E1,type,
c_2Ewords_2Ew2n_2E1: du > u ).
thf(c_2Ewords_2Eword__lo_2E0,type,
c_2Ewords_2Eword__lo_2E0: u ).
thf(c_2Epatricia__casts_2Eword__ptree__CASE_2E0,type,
c_2Epatricia__casts_2Eword__ptree__CASE_2E0: u ).
thf(c_2Epatricia__casts_2Eword__ptree__CASE_2E2,type,
c_2Epatricia__casts_2Eword__ptree__CASE_2E2: du > du > u ).
thf(c_2Epatricia__casts_2Eword__ptree__size_2E0,type,
c_2Epatricia__casts_2Eword__ptree__size_2E0: u ).
thf(c_2Epatricia__casts_2Eword__ptree__size_2E3,type,
c_2Epatricia__casts_2Eword__ptree__size_2E3: du > du > du > u ).
thf(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: u ).
thf(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Eone_2Eone_20mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,type,
mono_2Eapp_2Emono_2Etyop_2Eone_2Eone_20mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29: ( mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ) > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,type,
mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,type,
mono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Earithmetic_2E_2A,type,
mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2E_2B,type,
mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone,type,
mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Ebool_2E_2F_5C,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(mono_2Ec_2Enum_2E0,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Eprim__rec_2E_3C,type,
mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Earithmetic_2E_3C_3D,type,
mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(mono_2Ec_2Earithmetic_2E_3E,type,
mono_2Ec_2Earithmetic_2E_3E: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Epatricia__casts_2EADDs_2Emono_2Etyop_2Eone_2Eone,type,
mono_2Ec_2Epatricia__casts_2EADDs_2Emono_2Etyop_2Eone_2Eone: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Elist_2EAPPEND_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Elist_2EAPPEND_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Earithmetic_2EBIT1,type,
mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EBIT2,type,
mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Estring_2ECHR,type,
mono_2Ec_2Estring_2ECHR: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ).
thf(mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Estring_2Echar,type,
mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Estring_2Echar: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool: $o > $o ).
thf(mono_2Ec_2Earithmetic_2EDIV,type,
mono_2Ec_2Earithmetic_2EDIV: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ).
thf(mono_2Ec_2Earithmetic_2EEXP,type,
mono_2Ec_2Earithmetic_2EEXP: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2EF,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(mono_2Ec_2Epred__set_2EIMAGE_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Epred__set_2EIMAGE_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Ec_2Epatricia_2EINSERT__PTREE,type,
mono_2Ec_2Epatricia_2EINSERT__PTREE: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Epatricia__casts_2EINSERT__PTREEs,type,
mono_2Ec_2Epatricia__casts_2EINSERT__PTREEs: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Epatricia_2EIN__PTREE,type,
mono_2Ec_2Epatricia_2EIN__PTREE: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(mono_2Ec_2Epatricia__casts_2EIN__PTREEs,type,
mono_2Ec_2Epatricia__casts_2EIN__PTREEs: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Elist_2ELIST__TO__SET_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
mono_2Ec_2Elist_2ELIST__TO__SET_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(mono_2Ec_2Elogroot_2ELOG,type,
mono_2Ec_2Elogroot_2ELOG: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Estring_2EORD,type,
mono_2Ec_2Estring_2EORD: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Epatricia_2EPTREE__OF__NUMSET,type,
mono_2Ec_2Epatricia_2EPTREE__OF__NUMSET: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Epatricia__casts_2EPTREE__OF__STRINGSET,type,
mono_2Ec_2Epatricia__casts_2EPTREE__OF__STRINGSET: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Esorting_2EQSORT_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
mono_2Ec_2Esorting_2EQSORT_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Ec_2Epatricia__casts_2ESKIP1,type,
mono_2Ec_2Epatricia__casts_2ESKIP1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Ec_2Epatricia__casts_2ESTRINGSET__OF__PTREE,type,
mono_2Ec_2Epatricia__casts_2ESTRINGSET__OF__PTREE: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(mono_2Ec_2Ebool_2ET,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(mono_2Ec_2Epatricia__casts_2ETRAVERSEs_2Emono_2Etyop_2Eone_2Eone,type,
mono_2Ec_2Epatricia__casts_2ETRAVERSEs_2Emono_2Etyop_2Eone_2Eone: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Ec_2Epatricia_2EUNION__PTREE,type,
mono_2Ec_2Epatricia_2EUNION__PTREE: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(mono_2Ec_2Earithmetic_2EZERO,type,
mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2E_5C_2F,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(mono_2Ec_2Enumposrep_2El2n,type,
mono_2Ec_2Enumposrep_2El2n: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EASCIInumbers_2En2s,type,
mono_2Ec_2EASCIInumbers_2En2s: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Ec_2Epatricia__casts_2Enum__to__string,type,
mono_2Ec_2Epatricia__casts_2Enum__to__string: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(mono_2Ec_2Eone_2Eone,type,
mono_2Ec_2Eone_2Eone: mono_2Etyop_2Eone_2Eone ).
thf(mono_2Ec_2EASCIInumbers_2Es2n,type,
mono_2Ec_2EASCIInumbers_2Es2n: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Estring_2Estring__lt,type,
mono_2Ec_2Estring_2Estring__lt: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(mono_2Ec_2Epatricia__casts_2Estring__to__num,type,
mono_2Ec_2Epatricia__casts_2Estring__to__num: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2E_7E,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(i_mono_2Etyop_2Emin_2Ebool,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(i_mono_2Etyop_2Estring_2Echar,type,
i_mono_2Etyop_2Estring_2Echar: mono_2Etyop_2Estring_2Echar > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: ( mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ) > u ).
thf(i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > u ).
thf(i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > u ).
thf(i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > u ).
thf(i_mono_2Etyop_2Enum_2Enum,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(i_mono_2Etyop_2Eone_2Eone,type,
i_mono_2Etyop_2Eone_2Eone: mono_2Etyop_2Eone_2Eone > u ).
thf(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,type,
i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > u ).
thf(i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,type,
i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > u ).
thf(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(j_mono_2Etyop_2Estring_2Echar,type,
j_mono_2Etyop_2Estring_2Echar: du > mono_2Etyop_2Estring_2Echar ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: du > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29: du > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29: du > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: du > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29: du > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29: du > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).
thf(j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Enum_2Enum,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Eone_2Eone,type,
j_mono_2Etyop_2Eone_2Eone: du > mono_2Etyop_2Eone_2Eone ).
thf(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,type,
j_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 ).
thf(j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,type,
j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29: du > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 ).
thf(reserved_2Eho_2Eeq__ext,axiom,
! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
( ! [V2x_2E0: u] :
( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
thf(reserved_2Eho_2Ei__thm,axiom,
! [A_27a: d,V0x_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Ek__thm,axiom,
! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Es__thm,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
thf(reserved_2Elogic_2E_2F_5C,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
<=> ( V0
& V1 ) ) ).
thf(reserved_2Elogic_2E_5C_2F,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
<=> ( V0
| V1 ) ) ).
thf(reserved_2Elogic_2E_7E,axiom,
! [V0: $o] :
( ( mono_2Ec_2Ebool_2E_7E @ V0 )
<=> ( (~) @ V0 ) ) ).
thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
<=> ( V0
=> V1 ) ) ).
thf(reserved_2Elogic_2E_3D,axiom,
! [A_27a: d,V0_2E0: u,V1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ) ).
thf(reserved_2Equant_2E_21,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(reserved_2Equant_2E_3F,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ ( j_mono_2Etyop_2Estring_2Echar @ ( s @ tyop_2Estring_2Echar @ V0_2E0 ) ) ) )
= ( s @ tyop_2Estring_2Echar @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ) )
= ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Eone_2Eone,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ ( j_mono_2Etyop_2Eone_2Eone @ ( s @ tyop_2Eone_2Eone @ V0_2E0 ) ) ) )
= ( s @ tyop_2Eone_2Eone @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ V0_2E0 ) ) ).
thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Estring_2Echar] :
( ( j_mono_2Etyop_2Estring_2Echar @ ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Eone_2Eone,axiom,
! [V0: mono_2Etyop_2Eone_2Eone] :
( ( j_mono_2Etyop_2Eone_2Eone @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V0 ) ) )
= V0 ) ).
thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ A_27b @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29_20mono_2Etyop_2Eone_2Eone,axiom,
! [A_27a: d,X0_2E0: u,X1: mono_2Etyop_2Eone_2Eone] :
( ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ X1 ) ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2Ctyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28A_27b_29,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,X1_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Enum_2Enum,X1_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2EA_27b,axiom,
! [A_27b: d,X0: mono_2Etyop_2Enum_2Enum,X1_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) @ ( s @ A_27b @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( ( s @ A_27a @ X0_2E0 )
= ( s @ A_27a @ X1_2E0 ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EADD_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia_2EADD_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ c_2Epatricia_2EADD_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EADD_2E2_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia_2EADD_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ c_2Epatricia_2EADD_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EADDs_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2EADDs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ c_2Epatricia__casts_2EADDs_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EADDw_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EADDw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ c_2Epatricia__casts_2EADDw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EADDw_2E2_2Emono_2EA_27a_20mono_2Etyop_2Eone_2Eone,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EADDw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) ) @ c_2Epatricia__casts_2EADDw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Efun_28A_27a_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28A_27b_29_29,axiom,
! [A_27a: d,A_27b: d,X0: mono_2Etyop_2Enum_2Enum,X1_2E0: u,X2_2E0: u] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ ( c_2Eind__type_2ECONSTR_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ X2_2E0 ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) ) ) @ c_2Eind__type_2ECONSTR_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ X2_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia_2EDEPTH_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia_2EDEPTH_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Enum_2Enum ) @ c_2Epatricia_2EDEPTH_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2EDEPTHw_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia__casts_2EDEPTHw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Enum_2Enum ) @ c_2Epatricia__casts_2EDEPTHw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EEVERY__LEAF_2E2_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia_2EEVERY__LEAF_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ c_2Epatricia_2EEVERY__LEAF_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EEVERY__LEAFw_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia__casts_2EEVERY__LEAFw_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ c_2Epatricia__casts_2EEVERY__LEAFw_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EEXISTS__LEAF_2E2_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia_2EEXISTS__LEAF_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ c_2Epatricia_2EEXISTS__LEAF_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EEXISTS__LEAFw_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia__casts_2EEXISTS__LEAFw_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ c_2Epatricia__casts_2EEXISTS__LEAFw_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EFINDs_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ A_27a @ ( c_2Epatricia__casts_2EFINDs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X1 ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) @ c_2Epatricia__casts_2EFINDs_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EFINDw_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ A_27a @ ( c_2Epatricia__casts_2EFINDw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ A_27a ) ) @ c_2Epatricia__casts_2EFINDw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Elist_2EFOLDL_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2CA_27a_29_20mono_2Etyop_2Epatricia_2Eptree_28A_27a_29,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ ( c_2Elist_2EFOLDL_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) ) @ c_2Elist_2EFOLDL_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Elist_2EFOLDL_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29_2CA_27b_29_20mono_2Etyop_2Epatricia__casts_2Eword__ptree_28A_27a_2CA_27b_29,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ ( c_2Elist_2EFOLDL_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) ) @ c_2Elist_2EFOLDL_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EIMAGE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Enum_2Enum ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EIMAGE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Enum_2Enum ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EINSERT__PTREEw_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EINSERT__PTREEw_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) ) @ c_2Epatricia__casts_2EINSERT__PTREEw_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EIN__PTREEw_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia__casts_2EIN__PTREEw_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ c_2Epatricia__casts_2EIN__PTREEw_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Ecombin_2EK_2E1_2Emono_2Etyop_2Eone_2Eone_20mono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Eone_2Eone] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Ecombin_2EK_2E1 @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ X0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) ) @ c_2Ecombin_2EK_2E0 ) @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ X0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2EKEYSs_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Epatricia__casts_2EKEYSs_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ c_2Epatricia__casts_2EKEYSs_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2EKEYSw_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Epatricia__casts_2EKEYSw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Epatricia__casts_2EKEYSw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Elist_2ELIST__TO__SET_2E1_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( c_2Elist_2ELIST__TO__SET_2E1 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ c_2Elist_2ELIST__TO__SET_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Elist_2EMAP_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ A_27b ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Elist_2Elist @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Elist_2Elist @ A_27b ) ) ) @ c_2Elist_2EMAP_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29,axiom,
! [A_27a: d,X0_2E0: u,X1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ X1 ) ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) ) @ c_2Elist_2EMAP_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EPEEK_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Epatricia_2EPEEK_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eoption_2Eoption @ A_27a ) ) ) @ c_2Epatricia_2EPEEK_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EPEEK_2E2_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Epatricia_2EPEEK_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eoption_2Eoption @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eoption_2Eoption @ A_27b ) ) ) @ c_2Epatricia_2EPEEK_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EPEEKs_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Epatricia__casts_2EPEEKs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X1 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) ) @ c_2Epatricia__casts_2EPEEKs_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EPEEKw_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Epatricia__casts_2EPEEKw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Eoption_2Eoption @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Eoption_2Eoption @ A_27b ) ) ) @ c_2Epatricia__casts_2EPEEKw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EPEEKw_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Epatricia__casts_2EPEEKw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) ) @ c_2Epatricia__casts_2EPEEKw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EPTREE__OF__WORDSET_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EPTREE__OF__WORDSET_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) ) @ c_2Epatricia__casts_2EPTREE__OF__WORDSET_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Esorting_2EQSORT_2E2_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Esorting_2EQSORT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) ) @ c_2Esorting_2EQSORT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EREMOVE_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia_2EREMOVE_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ c_2Epatricia_2EREMOVE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2EREMOVE_2E2_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia_2EREMOVE_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ c_2Epatricia_2EREMOVE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EREMOVEs_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2EREMOVEs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X1 ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ c_2Epatricia__casts_2EREMOVEs_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ X1 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EREMOVEw_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EREMOVEw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ c_2Epatricia__casts_2EREMOVEw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Elist_2EREVERSE_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2EREVERSE_2E1 @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Elist_2Elist @ A_27a ) ) @ c_2Elist_2EREVERSE_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia_2ESIZE_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia_2ESIZE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Enum_2Enum ) @ c_2Epatricia_2ESIZE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ESIZEw_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia__casts_2ESIZEw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Enum_2Enum ) @ c_2Epatricia__casts_2ESIZEw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ESOME__PTREE_2E1_2Emono_2EA_27b_20mono_2EA_27a,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) ) @ c_2Epatricia__casts_2ESOME__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ESOME__PTREE_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) @ c_2Epatricia__casts_2ESOME__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ESOME__PTREE_2E1_2Emono_2EA_27c_20mono_2EA_27b,axiom,
! [A_27b: d,A_27c: d,X0_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) ) @ c_2Epatricia__casts_2ESOME__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ESOME__PTREE_2E1_2Emono_2EA_27a_20mono_2Etyop_2Eone_2Eone,axiom,
! [A_27a: d,X0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ X0 ) ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) @ c_2Epatricia__casts_2ESOME__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ X0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Eoption_2ETHE_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X0_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ A_27a ) @ c_2Eoption_2ETHE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETHE__PTREE_2E1_2Emono_2EA_27b_20mono_2EA_27a,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ c_2Epatricia__casts_2ETHE__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETHE__PTREE_2E1_2Emono_2Etyop_2Eone_2Eone_20mono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ c_2Epatricia__casts_2ETHE__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETHE__PTREE_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) @ c_2Epatricia__casts_2ETHE__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETHE__PTREE_2E1_2Emono_2Etyop_2Eone_2Eone_20mono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ c_2Epatricia__casts_2ETHE__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETHE__PTREE_2E1_2Emono_2EA_27a_20mono_2EA_27c,axiom,
! [A_27a: d,A_27c: d,X0_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) @ c_2Epatricia__casts_2ETHE__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETHE__PTREE_2E1_2Emono_2Etyop_2Eone_2Eone_20mono_2EA_27c,axiom,
! [A_27c: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ c_2Epatricia__casts_2ETHE__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2ETRANSFORM_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia_2ETRANSFORM_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ c_2Epatricia_2ETRANSFORM_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2ETRANSFORMw_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) @ ( c_2Epatricia__casts_2ETRANSFORMw_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) ) ) @ c_2Epatricia__casts_2ETRANSFORMw_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia_2ETRAVERSE_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( c_2Epatricia_2ETRAVERSE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ c_2Epatricia_2ETRAVERSE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia_2ETRAVERSE_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( c_2Epatricia_2ETRAVERSE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ c_2Epatricia_2ETRAVERSE_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETRAVERSEs_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Epatricia__casts_2ETRAVERSEs_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ c_2Epatricia__casts_2ETRAVERSEs_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETRAVERSEw_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Epatricia__casts_2ETRAVERSEw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Epatricia__casts_2ETRAVERSEw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2ETRAVERSEw_2E1_2Emono_2EA_27a_20mono_2Etyop_2Eone_2Eone,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Epatricia__casts_2ETRAVERSEw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Epatricia__casts_2ETRAVERSEw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Efun_28A_27a_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28A_27b_29_29_29_20mono_2Etyop_2Epatricia__casts_2Eword__ptree_28A_27a_2CA_27b_29,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2ETYPE__DEFINITION_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EUNION__PTREEw_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EUNION__PTREEw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) ) ) @ c_2Epatricia__casts_2EUNION__PTREEw_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epatricia__casts_2EWORDSET__OF__PTREE_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( c_2Epatricia__casts_2EWORDSET__OF__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ c_2Epatricia__casts_2EWORDSET__OF__PTREE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EWord__ptree_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ c_2Epatricia__casts_2EWord__ptree_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2EWord__ptree_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Eone_2Eone ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) ) ) @ c_2Epatricia__casts_2EWord__ptree_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Eone_2Eone ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia_2Eptree__size_2E2_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia_2Eptree__size_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ X0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ tyop_2Enum_2Enum ) ) @ c_2Epatricia_2Eptree__size_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Ewords_2Ew2n_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Ew2n_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Enum_2Enum ) @ c_2Ewords_2Ew2n_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epatricia__casts_2Eword__ptree__CASE_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u] :
( ( s @ A_27c @ ( c_2Epatricia__casts_2Eword__ptree__CASE_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ X1_2E0 ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ A_27c ) ) @ c_2Epatricia__casts_2Eword__ptree__CASE_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ X1_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Epatricia__casts_2Eword__ptree__size_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia__casts_2Eword__ptree__size_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ X1_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X2_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Enum_2Enum ) ) ) @ c_2Epatricia__casts_2Eword__ptree__size_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ X2_2E0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Estring_2Echar] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) @ ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Estring_2Echar @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eone_2Eone_20mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,V1: mono_2Etyop_2Eone_2Eone] :
( ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29 @ V0 ) ) @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Eone_2Eone @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Eone_2Eone] :
( ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V0 ) ) @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epatricia__casts_2EADDs_2E0_2Emono_2Etyop_2Eone_2Eone,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29_29 @ mono_2Ec_2Epatricia__casts_2EADDs_2Emono_2Etyop_2Eone_2Eone ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) ) ) @ c_2Epatricia__casts_2EADDs_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epatricia__casts_2EADDs_2E2_2Emono_2Etyop_2Eone_2Eone,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( mono_2Ec_2Epatricia__casts_2EADDs_2Emono_2Etyop_2Eone_2Eone @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EADDs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EAPPEND_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Elist_2EAPPEND_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ c_2Elist_2EAPPEND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EAPPEND_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Elist_2EAPPEND_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( c_2Elist_2EAPPEND_2E2 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E0_2Emono_2Etyop_2Estring_2Echar,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Estring_2Echar ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ c_2Elist_2ECONS_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Estring_2Echar,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Estring_2Echar @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ c_2Elist_2ECONS_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2EDATATYPE_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EEVERY_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ c_2Elist_2EEVERY_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EEVERY_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Elist_2EEVERY_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2EIMAGE_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EIMAGE_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2EIMAGE_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EIMAGE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2EIN_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ELENGTH_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ c_2Elist_2ELENGTH_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ELENGTH_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Elist_2ELENGTH_2E1 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ELIST__TO__SET_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Elist_2ELIST__TO__SET_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ c_2Elist_2ELIST__TO__SET_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ELIST__TO__SET_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Elist_2ELIST__TO__SET_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( c_2Elist_2ELIST__TO__SET_2E1 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EMAP_2E0_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) ) ) @ c_2Elist_2EMAP_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EMAP_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ c_2Elist_2EMAP_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ENIL_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ c_2Elist_2ENIL_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Esorting_2EQSORT_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29_29 @ mono_2Ec_2Esorting_2EQSORT_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) ) @ c_2Esorting_2EQSORT_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Esorting_2EQSORT_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( mono_2Ec_2Esorting_2EQSORT_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Esorting_2EQSORT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epatricia__casts_2ETRAVERSEs_2E0_2Emono_2Etyop_2Eone_2Eone,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ mono_2Ec_2Epatricia__casts_2ETRAVERSEs_2Emono_2Etyop_2Eone_2Eone ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ c_2Epatricia__casts_2ETRAVERSEs_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epatricia__casts_2ETRAVERSEs_2E1_2Emono_2Etyop_2Eone_2Eone,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( mono_2Ec_2Epatricia__casts_2ETRAVERSEs_2Emono_2Etyop_2Eone_2Eone @ V0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Epatricia__casts_2ETRAVERSEs_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Estring_2Echar] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eone_2Eone_2Ctyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eone_2Eone_20mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Eone_2Eone > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29,V1: mono_2Etyop_2Eone_2Eone] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > $o,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_2Ctyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29_20mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,axiom,
! [V0: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 > mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(thm_2Epatricia__casts_2ESKIP1__def,axiom,
! [V0c: mono_2Etyop_2Estring_2Echar,V1s: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( mono_2Ec_2Epatricia__casts_2ESKIP1 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Estring_2Echar @ V0c @ V1s ) )
= V1s ) ).
thf(thm_2Epatricia__casts_2Estring__to__num__def,axiom,
! [V0s: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V0s )
= ( mono_2Ec_2EASCIInumbers_2Es2n @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ mono_2Ec_2Estring_2EORD @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Estring_2Echar @ ( mono_2Ec_2Estring_2ECHR @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ V0s ) ) ) ).
thf(thm_2Epatricia__casts_2Enum__to__string__def,axiom,
! [V0n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epatricia__casts_2Enum__to__string @ V0n )
= ( mono_2Ec_2Epatricia__casts_2ESKIP1 @ ( mono_2Ec_2EASCIInumbers_2En2s @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ mono_2Ec_2Estring_2ECHR @ V0n ) ) ) ).
thf(thm_2Epatricia__casts_2EPEEKs__def,axiom,
! [A_27a: d,V0t_2E0: u,V1w: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Epatricia__casts_2EPEEKs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1w ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Epatricia_2EPEEK_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V1w ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EFINDs__def,axiom,
! [A_27a: d,V0t_2E0: u,V1w: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ A_27a @ ( c_2Epatricia__casts_2EFINDs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1w ) ) ) )
= ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Epatricia__casts_2EPEEKs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1w ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EADDs__def,axiom,
! [A_27a: d,V0t_2E0: u,V1w: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V2d_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2EADDs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1w ) ) @ ( s @ A_27a @ V2d_2E0 ) ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia_2EADD_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27a ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V1w ) ) ) @ ( s @ A_27a @ V2d_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EADD__LISTs__def,axiom,
! [A_27a: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ c_2Epatricia__casts_2EADD__LISTs_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ ( c_2Elist_2EFOLDL_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ A_27a ) @ ( tyop_2Epatricia_2Eptree @ A_27a ) ) ) @ c_2Epatricia__casts_2EADDs_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2EREMOVEs__def,axiom,
! [A_27a: d,V0t_2E0: u,V1w: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2EREMOVEs_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ V1w ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia_2EREMOVE_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V1w ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2ETRAVERSEs__def,axiom,
! [A_27a: d,V0t_2E0: u] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Epatricia__casts_2ETRAVERSEs_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) ) ) )
= ( mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ mono_2Ec_2Epatricia__casts_2Enum__to__string @ ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( c_2Epatricia_2ETRAVERSE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EKEYSs__def,axiom,
! [A_27a: d,V0t_2E0: u] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Epatricia__casts_2EKEYSs_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) ) ) )
= ( mono_2Ec_2Esorting_2EQSORT_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ mono_2Ec_2Estring_2Estring__lt @ ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Epatricia__casts_2ETRAVERSEs_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EIN__PTREEs__def,axiom,
! [V0w: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1t: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( mono_2Ec_2Epatricia__casts_2EIN__PTREEs @ V0w @ V1t )
= ( mono_2Ec_2Epatricia_2EIN__PTREE @ ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V0w ) @ V1t ) ) ).
thf(thm_2Epatricia__casts_2EINSERT__PTREEs__def,axiom,
! [V0w: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1t: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( mono_2Ec_2Epatricia__casts_2EINSERT__PTREEs @ V0w @ V1t )
= ( mono_2Ec_2Epatricia_2EINSERT__PTREE @ ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V0w ) @ V1t ) ) ).
thf(thm_2Epatricia__casts_2ESTRINGSET__OF__PTREE__def,axiom,
! [V0t: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( mono_2Ec_2Epatricia__casts_2ESTRINGSET__OF__PTREE @ V0t )
= ( mono_2Ec_2Elist_2ELIST__TO__SET_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 @ ( mono_2Ec_2Epatricia__casts_2ETRAVERSEs_2Emono_2Etyop_2Eone_2Eone @ V0t ) ) ) ).
thf(thm_2Epatricia__casts_2EPTREE__OF__STRINGSET__def,axiom,
! [V0t: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29,V1s: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > $o] :
( ( mono_2Ec_2Epatricia__casts_2EPTREE__OF__STRINGSET @ V0t @ V1s )
= ( mono_2Ec_2Epatricia_2EPTREE__OF__NUMSET @ V0t @ ( mono_2Ec_2Epred__set_2EIMAGE_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epatricia__casts_2Estring__to__num @ V1s ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__TY__DEF,axiom,
! [A_27a: d,A_27b: d,F1_2E0: u,F0_2E0: u] :
( ! [V6n: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ F1_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V6n ) ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ c_2Eind__type_2EBOTTOM_2E0 ) )
=> ( ! [V1a0_27_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ F0_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ V1a0_27_2E0 ) ) ) )
<=> ! [V2_27word__ptree_27_2E0: u] :
( ! [V3a0_27_2E0: u] :
( ? [V4a0_2E0: u,V5a1_2E0: u] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ V3a0_27_2E0 )
= ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ ( c_2Eind__type_2ECONSTR_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V4a0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V5a1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ F1_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ V2_27word__ptree_27_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ V3a0_27_2E0 ) ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ V2_27word__ptree_27_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ V1a0_27_2E0 ) ) ) ) ) )
=> ? [V0rep_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ F0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Epatricia_2Eptree @ A_27b ) ) ) ) @ V0rep_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__case__def,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0a0_2E0: u,V1a1_2E0: u,V2f_2E0: u] :
( ( s @ A_27c @ ( c_2Epatricia__casts_2Eword__ptree__CASE_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V0a0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V1a1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V2f_2E0 ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V2f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V0a0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V1a1_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__size__def,axiom,
! [A_27a: d,A_27b: d,V0f_2E0: u,V1f1_2E0: u,V2a0_2E0: u,V3a1_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia__casts_2Eword__ptree__size_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ V1f1_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V2a0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V3a1_2E0 ) ) ) ) ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia_2Eptree__size_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Enum_2Enum ) @ V1f1_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V3a1_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2ETHE__PTREE__def,axiom,
! [A_27a: d,A_27b: d,V0a_2E0: u,V1t_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Eone_2Eone ) @ V0a_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V1t_2E0 ) ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V1t_2E0 ) ) ).
thf(thm_2Epatricia__casts_2ESOME__PTREE__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V0t_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Ecombin_2EK_2E1 @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ mono_2Ec_2Eone_2Eone ) ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V0t_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2EWordEmpty__def,axiom,
! [A_27a: d,A_27b: d] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ c_2Epatricia__casts_2EWordEmpty_2E0 )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ c_2Epatricia_2EEmpty_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2EPEEKw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u,V1w_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Epatricia__casts_2EPEEKw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Epatricia_2EPEEK_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Ew2n_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EFINDw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u,V1w_2E0: u] :
( ( s @ A_27a @ ( c_2Epatricia__casts_2EFINDw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ V1w_2E0 ) ) )
= ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Epatricia__casts_2EPEEKw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ V0t_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ V1w_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EADDw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u,V1w_2E0: u,V2d_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EADDw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) @ ( s @ A_27b @ V2d_2E0 ) ) ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia_2EADD_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Ew2n_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) @ ( s @ A_27b @ V2d_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EADD__LISTw__def,axiom,
! [A_27a: d,A_27b: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ c_2Epatricia__casts_2EADD__LISTw_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ ( c_2Elist_2EFOLDL_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ c_2Epatricia__casts_2EADDw_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2EREMOVEw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u,V1w_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EREMOVEw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia_2EREMOVE_2E2 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Ew2n_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2ETRAVERSEw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Epatricia__casts_2ETRAVERSEw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Enum_2Enum ) @ ( c_2Epatricia_2ETRAVERSE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EKEYSw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Epatricia__casts_2EKEYSw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Esorting_2EQSORT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ c_2Ewords_2Eword__lo_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Epatricia__casts_2ETRAVERSEw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2ETRANSFORMw__def,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1t_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) @ ( c_2Epatricia__casts_2ETRANSFORMw_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ V1t_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27b ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia_2ETRANSFORM_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ A_27a ) @ V1t_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EEVERY__LEAFw__def,axiom,
! [A_27a: d,A_27b: d,F0_2E0: u] :
( ! [V0P_2E0: u,V2k: mono_2Etyop_2Enum_2Enum,V3d_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2k ) ) ) ) @ ( s @ A_27b @ V3d_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2k ) ) ) ) ) ) @ ( s @ A_27b @ V3d_2E0 ) ) ) ) )
=> ! [V0P_2E0: u,V1t_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia__casts_2EEVERY__LEAFw_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V1t_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia_2EEVERY__LEAF_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V1t_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EEXISTS__LEAFw__def,axiom,
! [A_27a: d,A_27b: d,F0_2E0: u] :
( ! [V0P_2E0: u,V2k: mono_2Etyop_2Enum_2Enum,V3d_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2k ) ) ) ) @ ( s @ A_27b @ V3d_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2k ) ) ) ) ) ) @ ( s @ A_27b @ V3d_2E0 ) ) ) ) )
=> ! [V0P_2E0: u,V1t_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia__casts_2EEXISTS__LEAFw_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V1t_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia_2EEXISTS__LEAF_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V1t_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2ESIZEw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia__casts_2ESIZEw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia_2ESIZE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EDEPTHw__def,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia__casts_2EDEPTHw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Epatricia_2EDEPTH_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0t_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EIN__PTREEw__def,axiom,
! [A_27a: d,V0w_2E0: u,V1t_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epatricia__casts_2EIN__PTREEw_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V1t_2E0 ) ) ) )
= ( mono_2Ec_2Epatricia_2EIN__PTREE @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Ew2n_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) ) ) ) @ ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V1t_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EINSERT__PTREEw__def,axiom,
! [A_27a: d,V0w_2E0: u,V1t_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EINSERT__PTREEw_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V1t_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( mono_2Ec_2Epatricia_2EINSERT__PTREE @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Ew2n_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) ) ) ) @ ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V1t_2E0 ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EWORDSET__OF__PTREE__def,axiom,
! [A_27a: d,V0t_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( c_2Epatricia__casts_2EWORDSET__OF__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V0t_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( c_2Elist_2ELIST__TO__SET_2E1 @ ( s @ ( tyop_2Elist_2Elist @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( c_2Epatricia__casts_2ETRAVERSEw_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V0t_2E0 ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EUNION__PTREEw__def,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0t1_2E0: u,V1t2_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EUNION__PTREEw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ V0t1_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ V1t2_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( mono_2Ec_2Epatricia_2EUNION__PTREE @ ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ tyop_2Eone_2Eone ) @ V0t1_2E0 ) ) ) ) @ ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27c @ tyop_2Eone_2Eone ) @ V1t2_2E0 ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2EPTREE__OF__WORDSET__def,axiom,
! [A_27a: d,V0t_2E0: u,V1s_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EPTREE__OF__WORDSET_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V0t_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ V1s_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( i_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( mono_2Ec_2Epatricia_2EPTREE__OF__NUMSET @ ( j_mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29 @ ( s @ ( tyop_2Epatricia_2Eptree @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V0t_2E0 ) ) ) ) @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EIMAGE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Enum_2Enum ) @ c_2Ewords_2Ew2n_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Emin_2Ebool ) @ V1s_2E0 ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2Edatatype__word__ptree,axiom,
! [A_27a: d,A_27b: d,V0word__ptree_2E0: u] : ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ tyop_2Emin_2Ebool ) @ V0word__ptree_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) ) ) @ c_2Epatricia__casts_2EWord__ptree_2E0 ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__11,axiom,
! [A_27a: d,A_27b: d,V0a0_2E0: u,V1a1_2E0: u,V2a0_27_2E0: u,V3a1_27_2E0: u] :
( ( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V0a0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V1a1_2E0 ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V2a0_27_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V3a1_27_2E0 ) ) ) )
<=> ( ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V0a0_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V2a0_27_2E0 ) )
& ( ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V1a1_2E0 )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V3a1_27_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__nchotomy,axiom,
! [A_27a: d,A_27b: d,V0ww_2E0: u] :
? [V1f_2E0: u,V2p_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0ww_2E0 )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V1f_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V2p_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__Axiom,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u] :
? [V1fn_2E0: u] :
! [V2a0_2E0: u,V3a1_2E0: u] :
( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ A_27c ) @ V1fn_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V2a0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V3a1_2E0 ) ) ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V2a0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V3a1_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__induction,axiom,
! [A_27a: d,A_27b: d,V0P_2E0: u] :
( ! [V1f_2E0: u,V2p_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V1f_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V2p_2E0 ) ) ) ) ) )
=> ! [V3w_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V3w_2E0 ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__case__cong,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0f_27_2E0: u,V1M_2E0: u,V2M_27_2E0: u,V3f_2E0: u] :
( ( ( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V1M_2E0 )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V2M_27_2E0 ) )
& ! [V4a0_2E0: u,V5a1_2E0: u] :
( ( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V2M_27_2E0 )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V4a0_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V5a1_2E0 ) ) ) )
=> ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V3f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V4a0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V5a1_2E0 ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V0f_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V4a0_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V5a1_2E0 ) ) ) ) ) )
=> ( ( s @ A_27c @ ( c_2Epatricia__casts_2Eword__ptree__CASE_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V1M_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V3f_2E0 ) ) )
= ( s @ A_27c @ ( c_2Epatricia__casts_2Eword__ptree__CASE_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V2M_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V0f_27_2E0 ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2Eword__ptree__case__eq,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0x_2E0: u,V1v_2E0: u,V2f_2E0: u] :
( ( ( s @ A_27c @ ( c_2Epatricia__casts_2Eword__ptree__CASE_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V2f_2E0 ) ) )
= ( s @ A_27c @ V1v_2E0 ) )
<=> ? [V3f_27_2E0: u,V4p_2E0: u] :
( ( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ V0x_2E0 )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ A_27b ) @ ( c_2Epatricia__casts_2EWord__ptree_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V3f_27_2E0 ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V4p_2E0 ) ) ) )
& ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ A_27c ) ) @ V2f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eone_2Eone ) @ V3f_27_2E0 ) ) ) @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27b ) @ V4p_2E0 ) ) )
= ( s @ A_27c @ V1v_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2EADD__INSERT__STRING,axiom,
! [V0w: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1v: mono_2Etyop_2Eone_2Eone,V2t: mono_2Etyop_2Epatricia_2Eptree_28tyop_2Eone_2Eone_29] :
( ( mono_2Ec_2Epatricia__casts_2EADDs_2Emono_2Etyop_2Eone_2Eone @ V2t @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone @ V0w @ V1v ) )
= ( mono_2Ec_2Epatricia__casts_2EADDs_2Emono_2Etyop_2Eone_2Eone @ V2t @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Eone_2Eone @ V0w @ mono_2Ec_2Eone_2Eone ) ) ) ).
thf(thm_2Epatricia__casts_2El2n__APPEND,axiom,
! [V0b: mono_2Etyop_2Enum_2Enum,V1l1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V2l2: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2Enumposrep_2El2n @ V0b @ ( mono_2Ec_2Elist_2EAPPEND_2Emono_2Etyop_2Enum_2Enum @ V1l1 @ V2l2 ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Enumposrep_2El2n @ V0b @ V1l1 ) @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2EEXP @ V0b @ ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Enum_2Enum @ V1l1 ) ) @ ( mono_2Ec_2Enumposrep_2El2n @ V0b @ V2l2 ) ) ) ) ).
thf(thm_2Epatricia__casts_2El2n__LENGTH,axiom,
! [V0b: mono_2Etyop_2Enum_2Enum,V1l: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V0b )
=> ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enumposrep_2El2n @ V0b @ V1l ) @ ( mono_2Ec_2Earithmetic_2EEXP @ V0b @ ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Enum_2Enum @ V1l ) ) ) ) ).
thf(thm_2Epatricia__casts_2El2n__11,axiom,
! [V0b: mono_2Etyop_2Enum_2Enum,V1l1: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29,V2l2: mono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V0b )
& ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_3E @ V0b ) @ V1l1 )
& ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_3E @ V0b ) @ V2l2 ) )
=> ( ( ( mono_2Ec_2Enumposrep_2El2n @ V0b @ ( mono_2Ec_2Elist_2EAPPEND_2Emono_2Etyop_2Enum_2Enum @ V1l1 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Enum_2Enum ) ) )
= ( mono_2Ec_2Enumposrep_2El2n @ V0b @ ( mono_2Ec_2Elist_2EAPPEND_2Emono_2Etyop_2Enum_2Enum @ V2l2 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Enum_2Enum ) ) ) )
<=> ( V1l1 = V2l2 ) ) ) ).
thf(thm_2Epatricia__casts_2EEVERY__MAP__ORD,axiom,
! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] : ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_3E @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Estring_2EORD @ V0l ) ) ).
thf(thm_2Epatricia__casts_2EMAP__11,axiom,
! [A_27a: d,A_27b: d,V0f_2E0: u,V1l1_2E0: u,V2l2_2E0: u] :
( ! [V3x_2E0: u,V4y_2E0: u] :
( ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V3x_2E0 )
= ( s @ A_27a @ V4y_2E0 ) ) )
=> ( ( ( s @ ( tyop_2Elist_2Elist @ A_27b ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V1l1_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ A_27b ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V2l2_2E0 ) ) ) )
<=> ( ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V1l1_2E0 )
= ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V2l2_2E0 ) ) ) ) ).
thf(thm_2Epatricia__casts_2EREVERSE__11,axiom,
! [A_27a: d,V0l1_2E0: u,V1l2_2E0: u] :
( ( ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2EREVERSE_2E1 @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V0l1_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2EREVERSE_2E1 @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V1l2_2E0 ) ) ) )
<=> ( ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V0l1_2E0 )
= ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V1l2_2E0 ) ) ) ).
thf(thm_2Epatricia__casts_2Estring__to__num__11,axiom,
! [V0s: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1t: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V0s )
= ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V1t ) )
<=> ( V0s = V1t ) ) ).
thf(thm_2Epatricia__casts_2EIMAGE__string__to__num,axiom,
! [V0n: mono_2Etyop_2Enum_2Enum] :
( ( ( V0n
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
| ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ V0n )
& ( ( mono_2Ec_2Earithmetic_2EDIV @ V0n @ ( mono_2Ec_2Earithmetic_2EEXP @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ ( mono_2Ec_2Elogroot_2ELOG @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ V0n ) ) )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
<=> ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Enum_2Enum @ V0n @ ( mono_2Ec_2Epred__set_2EIMAGE_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epatricia__casts_2Estring__to__num @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) ) ) ).
thf(thm_2Epatricia__casts_2Estring__to__num__num__to__string,axiom,
! [V0n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Enum_2Enum @ V0n @ ( mono_2Ec_2Epred__set_2EIMAGE_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epatricia__casts_2Estring__to__num @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) )
=> ( ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ ( mono_2Ec_2Epatricia__casts_2Enum__to__string @ V0n ) )
= V0n ) ) ).
thf(thm_2Epatricia__casts_2Enum__to__string__string__to__num,axiom,
! [V0s: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
( ( mono_2Ec_2Epatricia__casts_2Enum__to__string @ ( mono_2Ec_2Epatricia__casts_2Estring__to__num @ V0s ) )
= V0s ) ).
thf(thm_2Epatricia__casts_2EADD__INSERT__WORD,axiom,
! [A_27a: d,V0w_2E0: u,V1v: mono_2Etyop_2Eone_2Eone,V2t_2E0: u] :
( ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EADDw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V2t_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ V1v ) ) ) ) ) )
= ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ ( c_2Epatricia__casts_2EADDw_2E2 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27a @ tyop_2Eone_2Eone ) @ V2t_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ tyop_2Eone_2Eone ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) @ ( s @ tyop_2Eone_2Eone @ ( i_mono_2Etyop_2Eone_2Eone @ mono_2Ec_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Epatricia__casts_2ETHE__PTREE__SOME__PTREE,axiom,
! [A_27a: d,A_27b: d,V0t_2E0: u] :
( ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ ( c_2Epatricia__casts_2ETHE__PTREE_2E1 @ ( s @ ( tyop_2Epatricia__casts_2Eword__ptree @ A_27b @ A_27a ) @ ( c_2Epatricia__casts_2ESOME__PTREE_2E1 @ ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) ) ) ) )
= ( s @ ( tyop_2Epatricia_2Eptree @ A_27a ) @ V0t_2E0 ) ) ).
%------------------------------------------------------------------------------