%------------------------------------------------------------------------------
% File     : ITP174^1 : TPTP v8.2.0. Released v7.5.0.
% Domain   : Interactive Theorem Proving
% Problem  : Sledgehammer ShadowRootMonad problem prob_835__5867994_1
% Version  : Especial.
% English  :

% Refs     : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
%          : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% Source   : [Des21]
% Names    : ShadowRootMonad/prob_835__5867994_1 [Des21]

% Status   : Theorem
% Rating   : 0.20 v8.2.0, 0.15 v8.1.0, 0.18 v7.5.0
% Syntax   : Number of formulae    :  555 (  52 unt; 196 typ;   0 def)
%            Number of atoms       : 1053 ( 341 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 4210 (  75   ~;   0   |;   9   &;3592   @)
%                                         (   0 <=>; 534  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  11 avg)
%            Number of types       :   36 (  35 usr)
%            Number of type conns  : 1217 (1217   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  163 ( 161 usr;  14 con; 0-5 aty)
%            Number of variables   : 1960 ( 164   ^;1795   !;   1   ?;1960   :)
% SPC      : TH0_THM_EQU_NAR

% Comments : This file was generated by Sledgehammer 2021-02-23 15:34:51.332
%------------------------------------------------------------------------------
% Could-be-implicit typings (35)
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    rObjec2068690451tion_j: $tType ).

thf(ty_n_t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J,type,
    list_n282880152tr_b_c: $tType ).

thf(ty_n_t__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J,type,
    node_p1234578834tr_b_c: $tType ).

thf(ty_n_t__ObjectClass__ORObject__ORObject____ext_It__NodeClass__ORNode__ORNode____ext_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_J_J,type,
    rObjec1875798643tion_g: $tType ).

thf(ty_n_t__ObjectClass__ORObject__ORObject____ext_It__NodeClass__ORNode__ORNode____ext_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_J_J,type,
    rObjec1148923485tion_h: $tType ).

thf(ty_n_t__Option__Ooption_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_J,type,
    option1330818496tr_d_e: $tType ).

thf(ty_n_t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J,type,
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thf(ty_n_t__Finite____Map__Ofmap_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J,type,
    finite1621822014t_char: $tType ).

thf(ty_n_t__Option__Ooption_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_J,type,
    option147517124_ptr_d: $tType ).

thf(ty_n_t__Option__Ooption_It__ElementPointer__Oelement____ptr_Itf__a_J_J,type,
    option_element_ptr_a: $tType ).

thf(ty_n_t__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J,type,
    character_data_ptr_b: $tType ).

thf(ty_n_t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J,type,
    shadow_root_ptr_d: $tType ).

thf(ty_n_t__ShadowRootClass__Oshadow____root____mode,type,
    shadow_root_mode: $tType ).

thf(ty_n_t__ElementPointer__Oelement____ptr_Itf__a_J,type,
    element_ptr_a: $tType ).

thf(ty_n_t__List__Olist_It__String__Ochar_J,type,
    list_char: $tType ).

thf(ty_n_t__Product____Type__Ounit,type,
    product_unit: $tType ).

% Explicit typings (161)
thf(sy_c_BaseMonad_Ol__get__M_Oa__get__M_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001t__ObjectClass__Oheap_It__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_Mt__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J_J_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J,type,
    l_get_1351119336on_j_k: ( docume1935157360tr_d_e > heap_S1465075775_j_k_l > option841825948on_j_k ) > docume1935157360tr_d_e > ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > heap_E1186645633on_j_k ).

thf(sy_c_BaseMonad_Ol__put__M_Oa__put__M_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001t__ObjectClass__Oheap_It__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_Mt__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J_J_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J,type,
    l_put_893346794tr_b_c: ( docume1935157360tr_d_e > heap_S1465075775_j_k_l > option841825948on_j_k ) > ( docume1935157360tr_d_e > rObjec1617416918on_j_k > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ) > docume1935157360tr_d_e > ( ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > list_n282880152tr_b_c > heap_E625070648t_unit ).

thf(sy_c_CharacterDataClass_ORCharacterData_Oval__update_001t__Option__Ooption_Itf__h_J,type,
    val_update_option_h: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h ).

thf(sy_c_CharacterDataClass_Ocast_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_092_060_094sub_0622_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_001tf__h_001tf__c_001tf__a_001tf__b_001tf__d_001tf__g_001tf__i,type,
    cast_C1209085999_d_g_i: rObjec1148923485tion_h > rObjec1922030987on_h_i ).

thf(sy_c_CharacterDataClass_Ol__get_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a__lemmas_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    l_get_2113179812_j_k_l: ( heap_S1465075775_j_k_l > $o ) > $o ).

thf(sy_c_CharacterDataClass_Ol__type__wf__def_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_Oa__type__wf_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    l_type1003141153_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_CharacterDataClass_Otype__wf_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    type_w1771507213_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_CharacterDataMonad_Oget__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001tf__h_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_1865279188_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > docume1935157360tr_d_e ) > heap_E1188946203tr_d_e ).

thf(sy_c_CharacterDataMonad_Oget__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001tf__h_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_1125451418_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > list_n282880152tr_b_c ) > heap_E1735400259tr_b_c ).

thf(sy_c_CharacterDataMonad_Oget__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001tf__h_001t__List__Olist_It__String__Ochar_J_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_2088872005_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > list_char ) > heap_E434560396t_char ).

thf(sy_c_CharacterDataMonad_Oget__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001tf__h_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_2133515608_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > rObjec1617416918on_j_k ) > heap_E1186645633on_j_k ).

thf(sy_c_CharacterDataMonad_Oget__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001tf__h_001t__Product____Type__Ounit_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_1903403023_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > product_unit ) > heap_E625070648t_unit ).

thf(sy_c_CharacterDataMonad_Oget__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001tf__h_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_1086441344_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > shadow_root_ptr_d ) > heap_E490335273_ptr_d ).

thf(sy_c_CharacterDataMonad_Ol__new__character__data_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    l_new_410495338_j_k_l: ( heap_S1465075775_j_k_l > $o ) > $o ).

thf(sy_c_CharacterDataMonad_Onew__character__data_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    new_ch829669006_j_k_l: heap_E1996099391_ptr_b ).

thf(sy_c_CharacterDataMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__h_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_726238649_j_k_l: character_data_ptr_b > ( ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > docume1935157360tr_d_e > heap_E625070648t_unit ).

thf(sy_c_CharacterDataMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__h_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_318275117_j_k_l: character_data_ptr_b > ( ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > list_n282880152tr_b_c > heap_E625070648t_unit ).

thf(sy_c_CharacterDataMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001t__List__Olist_It__String__Ochar_J_001tf__h_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1937380872_j_k_l: character_data_ptr_b > ( ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > list_char > heap_E625070648t_unit ).

thf(sy_c_CharacterDataMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__h_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_643150959_j_k_l: character_data_ptr_b > ( ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > rObjec1617416918on_j_k > heap_E625070648t_unit ).

thf(sy_c_CharacterDataMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001t__Product____Type__Ounit_001tf__h_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1374331384_j_k_l: character_data_ptr_b > ( ( product_unit > product_unit ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > product_unit > heap_E625070648t_unit ).

thf(sy_c_CharacterDataMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_001tf__b_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__h_001tf__a_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__i_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1888382407_j_k_l: character_data_ptr_b > ( ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > shadow_root_ptr_d > heap_E625070648t_unit ).

thf(sy_c_CharacterDataPointer_Ocast_092_060_094sub_062c_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062___092_060_094sub_062d_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_092_060_094sub_0622_092_060_094sub_062n_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001tf__b_001tf__a_001tf__c,type,
    cast_c164415100_b_a_c: character_data_ptr_b > node_p1234578834tr_b_c ).

thf(sy_c_CharacterDataPointer_Ois__character__data__ptr_092_060_094sub_062c_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062___092_060_094sub_062d_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001tf__b,type,
    is_cha504820986_t_r_b: character_data_ptr_b > $o ).

thf(sy_c_DocumentClass_ORDocument_Odisconnected__nodes_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J,type,
    discon866287741on_j_k: rObjec1617416918on_j_k > list_n282880152tr_b_c ).

thf(sy_c_DocumentClass_ORDocument_Odisconnected__nodes__update_001tf__a_001tf__b_001tf__c_001t__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J,type,
    discon442323090on_j_k: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(sy_c_DocumentClass_ORDocument_Odoctype_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J,type,
    doctyp814403297on_j_k: rObjec1617416918on_j_k > list_char ).

thf(sy_c_DocumentClass_ORDocument_Odoctype__update_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J,type,
    doctyp68000440on_j_k: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(sy_c_DocumentClass_ORDocument_Odocument__element_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J,type,
    docume1175131570on_j_k: rObjec1617416918on_j_k > option_element_ptr_a ).

thf(sy_c_DocumentClass_ORDocument_Odocument__element__update_001tf__a_001tf__c_001tf__b_001t__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J,type,
    docume244715269on_j_k: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(sy_c_DocumentClass_Ocast_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__d_001tf__g_001tf__h_001tf__i_001tf__l,type,
    cast_D1252964113_h_i_l: rObjec1617416918on_j_k > rObjec1413572695_j_k_l ).

thf(sy_c_DocumentClass_Ocast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__c_001tf__a_001tf__b_001tf__d_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__l,type,
    cast_O1034441233_j_k_l: rObjec1413572695_j_k_l > option841825948on_j_k ).

thf(sy_c_DocumentClass_Oget_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__a_001tf__b_001tf__c_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__l,type,
    get_D_1192261494_j_k_l: docume1935157360tr_d_e > heap_S1465075775_j_k_l > option841825948on_j_k ).

thf(sy_c_DocumentClass_Ois__document__kind_001tf__c_001tf__a_001tf__b_001tf__d_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__l,type,
    is_doc1417632087_j_k_l: rObjec1413572695_j_k_l > $o ).

thf(sy_c_DocumentClass_Ol__type__wf__def_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_Oa__type__wf_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__l,type,
    l_type1130145226_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_DocumentClass_Oput_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_D_2126422573_h_i_l: docume1935157360tr_d_e > rObjec1617416918on_j_k > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

thf(sy_c_DocumentClass_Otype__wf_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__l,type,
    type_w1479951274_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_DocumentMonad_Oget__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_462148605_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > docume1935157360tr_d_e ) > heap_E1188946203tr_d_e ).

thf(sy_c_DocumentMonad_Oget__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_986049031_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > list_n282880152tr_b_c ) > heap_E1735400259tr_b_c ).

thf(sy_c_DocumentMonad_Oget__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001t__List__Olist_It__String__Ochar_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_1536717772_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > list_char ) > heap_E434560396t_char ).

thf(sy_c_DocumentMonad_Oget__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_970800329_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > heap_E1186645633on_j_k ).

thf(sy_c_DocumentMonad_Oget__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001t__Option__Ooption_It__ElementPointer__Oelement____ptr_Itf__a_J_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_1723352102_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > option_element_ptr_a ) > heap_E906991588_ptr_a ).

thf(sy_c_DocumentMonad_Oget__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001t__Product____Type__Ounit_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_1965837010_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > product_unit ) > heap_E625070648t_unit ).

thf(sy_c_DocumentMonad_Oget__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_537718945_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > shadow_root_ptr_d ) > heap_E490335273_ptr_d ).

thf(sy_c_DocumentMonad_Ol__new__document_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__l,type,
    l_new_1474790279_j_k_l: ( heap_S1465075775_j_k_l > $o ) > $o ).

thf(sy_c_DocumentMonad_Onew__document_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__l,type,
    new_do4779043_j_k_l: heap_E1188946203tr_d_e ).

thf(sy_c_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_M_2097930918_h_i_l: docume1935157360tr_d_e > ( ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > docume1935157360tr_d_e > heap_E625070648t_unit ).

thf(sy_c_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_M_139724992_h_i_l: docume1935157360tr_d_e > ( ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > list_n282880152tr_b_c > heap_E625070648t_unit ).

thf(sy_c_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001t__List__Olist_It__String__Ochar_J_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_M_257417239_h_i_l: docume1935157360tr_d_e > ( ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > list_char > heap_E625070648t_unit ).

thf(sy_c_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_M_657600638_h_i_l: docume1935157360tr_d_e > ( ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > heap_E625070648t_unit ).

thf(sy_c_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001t__Option__Ooption_It__ElementPointer__Oelement____ptr_Itf__a_J_J_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_M_1442125025_h_i_l: docume1935157360tr_d_e > ( ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > option_element_ptr_a > heap_E625070648t_unit ).

thf(sy_c_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001t__Product____Type__Ounit_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_M_1656033077_h_i_l: docume1935157360tr_d_e > ( ( product_unit > product_unit ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > product_unit > heap_E625070648t_unit ).

thf(sy_c_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__d_001tf__e_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__c_001tf__a_001tf__b_001t__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    put_M_1534590374_h_i_l: docume1935157360tr_d_e > ( ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > shadow_root_ptr_d > heap_E625070648t_unit ).

thf(sy_c_DocumentPointer_Ocast_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_092_060_094sub_0622_092_060_094sub_062o_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001t__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_001tf__a_001tf__b_001tf__c_001tf__f,type,
    cast_d1608273229_b_c_f: docume1935157360tr_d_e > object945351580_d_e_f ).

thf(sy_c_DocumentPointer_Ocast_092_060_094sub_062o_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_092_060_094sub_0622_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001tf__a_001tf__b_001tf__c_001t__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_001tf__f,type,
    cast_o761049241_d_e_f: object945351580_d_e_f > option1330818496tr_d_e ).

thf(sy_c_DocumentPointer_Ois__document__ptr_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001t__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J,type,
    is_doc2037328342tr_d_e: docume1935157360tr_d_e > $o ).

thf(sy_c_DocumentPointer_Ois__document__ptr__kind_001tf__a_001tf__b_001tf__c_001t__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_001tf__f,type,
    is_doc45233057_d_e_f: object945351580_d_e_f > $o ).

thf(sy_c_ElementClass_ORElement_Oattrs__update_001tf__c_001tf__a_001tf__b_001tf__d_001t__Option__Ooption_Itf__g_J,type,
    attrs_1280717024tion_g: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g ).

thf(sy_c_ElementClass_ORElement_Ochild__nodes_001tf__c_001tf__a_001tf__b_001tf__d_001t__Option__Ooption_Itf__g_J,type,
    child_768225874tion_g: rObjec1875798643tion_g > list_n282880152tr_b_c ).

thf(sy_c_ElementClass_ORElement_Ochild__nodes__update_001tf__a_001tf__b_001tf__c_001tf__d_001t__Option__Ooption_Itf__g_J,type,
    child_1596411111tion_g: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g ).

thf(sy_c_ElementClass_ORElement_Oshadow__root__opt__update_001tf__d_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_Itf__g_J,type,
    shadow1606659473tion_g: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g ).

thf(sy_c_ElementClass_ORElement_Otag__name__update_001tf__c_001tf__a_001tf__b_001tf__d_001t__Option__Ooption_Itf__g_J,type,
    tag_na7058269tion_g: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g ).

thf(sy_c_ElementClass_Ocast_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_001tf__c_001tf__a_001tf__b_001tf__d_001tf__g_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J,type,
    cast_E1779426770on_h_i: rObjec1875798643tion_g > rObjec1922030987on_h_i ).

thf(sy_c_ElementClass_Otype__wf_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    type_w697503069_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_650077447_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > docume1935157360tr_d_e ) > heap_E1188946203tr_d_e ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__Finite____Map__Ofmap_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_685446945_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > finite1621822014t_char ) > heap_E1770015209t_char ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_88885319_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > list_n282880152tr_b_c ) > heap_E1735400259tr_b_c ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__List__Olist_It__String__Ochar_J_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_51280086_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > list_char ) > heap_E434560396t_char ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_1990067849_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > rObjec1617416918on_j_k ) > heap_E1186645633on_j_k ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__Option__Ooption_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_J_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_1154267419_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > option147517124_ptr_d ) > heap_E189844335_ptr_d ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__Product____Type__Ounit_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_1238860946_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > product_unit ) > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oget__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001tf__c_001tf__b_001tf__d_001tf__g_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_2008432865_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > shadow_root_ptr_d ) > heap_E490335273_ptr_d ).

thf(sy_c_ElementMonad_Ol__new__element_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    l_new_540233301_j_k_l: ( heap_S1465075775_j_k_l > $o ) > $o ).

thf(sy_c_ElementMonad_Onew__element_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    new_el717272935_j_k_l: heap_E1661210526_ptr_a ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1236788814_j_k_l: element_ptr_a > ( ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > docume1935157360tr_d_e > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__Finite____Map__Ofmap_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1724091798_j_k_l: element_ptr_a > ( ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > finite1621822014t_char > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1098917052_j_k_l: element_ptr_a > ( ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > list_n282880152tr_b_c > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__List__Olist_It__String__Ochar_J_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1720094109_j_k_l: element_ptr_a > ( ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > list_char > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1494070654_j_k_l: element_ptr_a > ( ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > rObjec1617416918on_j_k > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__Option__Ooption_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_J_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_682984464_j_k_l: element_ptr_a > ( ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > option147517124_ptr_d > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__Product____Type__Ounit_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1101791239_j_k_l: element_ptr_a > ( ( product_unit > product_unit ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > product_unit > heap_E625070648t_unit ).

thf(sy_c_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__a_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__c_001tf__b_001tf__d_001tf__g_001tf__e_001tf__f_001t__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_M_1672180822_j_k_l: element_ptr_a > ( ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > shadow_root_ptr_d > heap_E625070648t_unit ).

thf(sy_c_ElementPointer_Ocast_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_092_060_094sub_0622_092_060_094sub_062n_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001tf__a_001t__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J,type,
    cast_e316309897tr_b_c: element_ptr_a > node_p1234578834tr_b_c ).

thf(sy_c_ElementPointer_Ois__element__ptr_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001tf__a,type,
    is_ele1129207902_t_r_a: element_ptr_a > $o ).

thf(sy_c_Fun_Oid_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J,type,
    id_ROb1998049991on_j_k: rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(sy_c_Heap__Error__Monad_Onoop_001t__ObjectClass__Oheap_It__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_Mt__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J_J_001t__BaseMonad__Oexception,type,
    heap_E1613639261eption: heap_E625070648t_unit ).

thf(sy_c_Heap__Error__Monad_Opreserved_001t__ObjectClass__Oheap_It__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_Mt__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J_J_001t__BaseMonad__Oexception_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J,type,
    heap_E808638982tr_d_e: heap_E1188946203tr_d_e > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l > $o ).

thf(sy_c_Heap__Error__Monad_Opreserved_001t__ObjectClass__Oheap_It__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_Mt__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J_J_001t__BaseMonad__Oexception_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J,type,
    heap_E1516284546tr_b_c: heap_E1735400259tr_b_c > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l > $o ).

thf(sy_c_Heap__Error__Monad_Opreserved_001t__ObjectClass__Oheap_It__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_Mt__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J_J_001t__BaseMonad__Oexception_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J,type,
    heap_E1358110656on_j_k: heap_E1186645633on_j_k > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l > $o ).

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thf(sy_c_List_Olist_ONil_001t__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J,type,
    nil_no279930520tr_b_c: list_n282880152tr_b_c ).

thf(sy_c_NodeClass_Ocast_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_0622_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_001t__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    cast_N1183075319_j_k_l: rObjec1922030987on_h_i > rObjec1413572695_j_k_l ).

thf(sy_c_NodeClass_Oput_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_001t__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_001t__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_001t__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    put_N_1605479107_j_k_l: node_p1234578834tr_b_c > rObjec1922030987on_h_i > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

thf(sy_c_NodeMonad_Oget__M_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_001t__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_001t__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001t__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_001t__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J,type,
    get_M_922904437_j_k_l: node_p1234578834tr_b_c > ( rObjec1922030987on_h_i > rObjec1617416918on_j_k ) > heap_E1186645633on_j_k ).

thf(sy_c_NodePointer_Ocast_092_060_094sub_062n_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_092_060_094sub_0622_092_060_094sub_062o_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001t__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_001t__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J,type,
    cast_n552817316_d_e_f: node_p1234578834tr_b_c > object945351580_d_e_f ).

thf(sy_c_ObjectClass_Oget_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_001t__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_001t__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J,type,
    get_O_623850005_j_k_l: object945351580_d_e_f > heap_S1465075775_j_k_l > option1749760295_j_k_l ).

thf(sy_c_ObjectClass_Oput_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_001t__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_001t__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J,type,
    put_O_834343516_j_k_l: object945351580_d_e_f > rObjec1413572695_j_k_l > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

thf(sy_c_ObjectMonad_Oget__M_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_001t__Sum____Type__Osum_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_Mt__Sum____Type__Osum_It__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_Mtf__f_J_J_001t__Sum____Type__Osum_It__NodeClass__ORNode__ORNode____ext_It__Sum____Type__Osum_It__ElementClass__ORElement__ORElement____ext_Itf__c_Mtf__a_Mtf__b_Mtf__d_Mt__Option__Ooption_Itf__g_J_J_Mt__Sum____Type__Osum_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_Mtf__i_J_J_J_Mt__Sum____Type__Osum_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_Mtf__l_J_J_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J,type,
    get_M_1030798962on_j_k: object945351580_d_e_f > ( rObjec1413572695_j_k_l > rObjec1617416918on_j_k ) > heap_E1186645633on_j_k ).

thf(sy_c_Option_Ooption_ONone_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J,type,
    none_R1587534007on_j_k: option841825948on_j_k ).

thf(sy_c_Option_Ooption_ONone_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_J_J,type,
    none_R125524722tion_j: option1029218147tion_j ).

thf(sy_c_Option_Ooption_Ocase__option_001_Eo_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J,type,
    case_o516720829tr_d_e: $o > ( docume1935157360tr_d_e > $o ) > option1330818496tr_d_e > $o ).

thf(sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_J_J_J_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J,type,
    case_o738567654on_j_k: option1029218147tion_j > ( rObjec1617416918on_j_k > option1029218147tion_j ) > option841825948on_j_k > option1029218147tion_j ).

thf(sy_c_Option_Ooption_Othe_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J,type,
    the_do1700004572tr_d_e: option1330818496tr_d_e > docume1935157360tr_d_e ).

thf(sy_c_Option_Ooption_Othe_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_J_J,type,
    the_RO2055010943tion_j: option1029218147tion_j > rObjec2068690451tion_j ).

thf(sy_c_ShadowRootClass_ORShadowRoot_Ochild__nodes_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_Itf__j_J,type,
    child_803420283tion_j: rObjec2068690451tion_j > list_n282880152tr_b_c ).

thf(sy_c_ShadowRootClass_ORShadowRoot_Ochild__nodes__update_001tf__a_001tf__b_001tf__c_001t__Option__Ooption_Itf__j_J,type,
    child_1619758758tion_j: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec2068690451tion_j > rObjec2068690451tion_j ).

thf(sy_c_ShadowRootClass_ORShadowRoot_Omode_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_Itf__j_J,type,
    mode_c_a_b_option_j: rObjec2068690451tion_j > shadow_root_mode ).

thf(sy_c_ShadowRootClass_ORShadowRoot_Omode__update_001tf__c_001tf__a_001tf__b_001t__Option__Ooption_Itf__j_J,type,
    mode_u388060498tion_j: ( shadow_root_mode > shadow_root_mode ) > rObjec2068690451tion_j > rObjec2068690451tion_j ).

thf(sy_c_ShadowRootClass_Ocast_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__c_001tf__a_001tf__b_001tf__j_001tf__k,type,
    cast_D1046746849_b_j_k: rObjec1617416918on_j_k > option1029218147tion_j ).

thf(sy_c_ShadowRootClass_Ocast_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__c_001tf__a_001tf__b_001tf__j_001tf__k,type,
    cast_S988036065_b_j_k: rObjec2068690451tion_j > rObjec1617416918on_j_k ).

thf(sy_c_ShadowRootClass_Oget_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001tf__a_001tf__b_001tf__c_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__j_001tf__k_001tf__l,type,
    get_S_806277408_j_k_l: shadow_root_ptr_d > heap_S1465075775_j_k_l > option1029218147tion_j ).

thf(sy_c_ShadowRootClass_Ois__shadow__root__kind_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_001tf__c_001tf__a_001tf__b_001tf__j_001tf__k,type,
    is_sha1522929624_b_j_k: rObjec1617416918on_j_k > $o ).

thf(sy_c_ShadowRootClass_Ol__type__wf__def_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_Oa__type__wf_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__j_001tf__k_001tf__l,type,
    l_type648988564_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_ShadowRootClass_Oput_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    put_S_1800307733_i_k_l: shadow_root_ptr_d > rObjec2068690451tion_j > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

thf(sy_c_ShadowRootClass_Otype__wf_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__j_001tf__k_001tf__l,type,
    type_w92696601_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Odelete_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t__M_001tf__d_001tf__a_001tf__b_001tf__c_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__j_001tf__k_001tf__l,type,
    shadow1961719995_j_k_l: shadow_root_ptr_d > heap_E625070648t_unit ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oget__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001tf__c_001tf__a_001tf__b_001tf__j_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1068876397_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > docume1935157360tr_d_e ) > heap_E1188946203tr_d_e ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oget__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001tf__c_001tf__a_001tf__b_001tf__j_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow759301011_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > list_n282880152tr_b_c ) > heap_E1735400259tr_b_c ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oget__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001tf__c_001tf__a_001tf__b_001tf__j_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow2101372501_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > rObjec1617416918on_j_k ) > heap_E1186645633on_j_k ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oget__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001tf__c_001tf__a_001tf__b_001tf__j_001t__Product____Type__Ounit_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow2050000606_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > product_unit ) > heap_E625070648t_unit ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oget__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001tf__c_001tf__a_001tf__b_001tf__j_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1130895149_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > shadow_root_ptr_d ) > heap_E490335273_ptr_d ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Ol__put__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t__lemmas_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__j_001tf__k_001tf__l,type,
    shadow722206742_j_k_l: ( heap_S1465075775_j_k_l > $o ) > $o ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Onew_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t__M_001tf__a_001tf__b_001tf__c_001tf__d_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__j_001tf__k_001tf__l,type,
    shadow641561368_j_k_l: heap_E490335273_ptr_d ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001t__DocumentPointer__Odocument____ptr_It__Sum____Type__Osum_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_Mtf__e_J_J_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1464843188_i_k_l: shadow_root_ptr_d > ( ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > docume1935157360tr_d_e > heap_E625070648t_unit ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001t__List__Olist_It__NodePointer__Onode____ptr_It__Sum____Type__Osum_It__ElementPointer__Oelement____ptr_Itf__a_J_Mt__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J_J_J_J_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow505265920_i_k_l: shadow_root_ptr_d > ( ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > list_n282880152tr_b_c > heap_E625070648t_unit ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001t__ObjectClass__ORObject__ORObject____ext_It__DocumentClass__ORDocument__ORDocument____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_It__Sum____Type__Osum_It__ShadowRootClass__ORShadowRoot__ORShadowRoot____ext_Itf__c_Mtf__a_Mtf__b_Mt__Option__Ooption_Itf__j_J_J_Mtf__k_J_J_J_J_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1445656130_i_k_l: shadow_root_ptr_d > ( ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > rObjec1617416918on_j_k > heap_E625070648t_unit ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001t__Product____Type__Ounit_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1110190411_i_k_l: shadow_root_ptr_d > ( ( product_unit > product_unit ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > product_unit > heap_E625070648t_unit ).

thf(sy_c_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_001tf__d_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow46861722_i_k_l: shadow_root_ptr_d > ( ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > shadow_root_ptr_d > heap_E625070648t_unit ).

thf(sy_c_ShadowRootPointer_Ocast_092_060_094sub_062s_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062___092_060_094sub_062r_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_092_060_094sub_0622_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001tf__d_001tf__e,type,
    cast_s253715760_r_d_e: shadow_root_ptr_d > docume1935157360tr_d_e ).

thf(sy_c_ShadowRootPointer_Ois__shadow__root__ptr__kind_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_001tf__d_001tf__e,type,
    is_sha1302775417_r_d_e: docume1935157360tr_d_e > $o ).

thf(sy_v_document__ptr,type,
    document_ptr: docume1935157360tr_d_e ).

thf(sy_v_h,type,
    h: heap_S1465075775_j_k_l ).

thf(sy_v_h_H,type,
    h2: heap_S1465075775_j_k_l ).

thf(sy_v_v,type,
    v: list_n282880152tr_b_c ).

thf(sy_v_x,type,
    x: rObjec1617416918on_j_k ).

% Relevant facts (355)
thf(fact_0_assms,axiom,
    heap_E494191872t_unit @ h @ ( put_M_139724992_h_i_l @ document_ptr @ discon442323090on_j_k @ v ) @ h2 ).

% assms
thf(fact_1_ShadowRootClass_Otype__wf_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w92696601_j_k_l @ H )
     => ( type_w1771507213_j_k_l @ H ) ) ).

% ShadowRootClass.type_wf\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_2_cast_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t__inject,axiom,
    ! [X: rObjec1617416918on_j_k,Y: rObjec1617416918on_j_k] :
      ( ( ( cast_D1252964113_h_i_l @ X )
        = ( cast_D1252964113_h_i_l @ Y ) )
      = ( X = Y ) ) ).

% cast\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t\<^sub>2\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t_inject
thf(fact_3_cast_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r_092_060_094sub_0622_092_060_094sub_062o_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062___092_060_094sub_062p_092_060_094sub_062t_092_060_094sub_062r__inject,axiom,
    ! [X: docume1935157360tr_d_e,Y: docume1935157360tr_d_e] :
      ( ( ( cast_d1608273229_b_c_f @ X )
        = ( cast_d1608273229_b_c_f @ Y ) )
      = ( X = Y ) ) ).

% cast\<^sub>d\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t\<^sub>_\<^sub>p\<^sub>t\<^sub>r\<^sub>2\<^sub>o\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t\<^sub>_\<^sub>p\<^sub>t\<^sub>r_inject
thf(fact_4_id__apply,axiom,
    ( id_ROb1998049991on_j_k
    = ( ^ [X2: rObjec1617416918on_j_k] : X2 ) ) ).

% id_apply
thf(fact_5_put_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__def,axiom,
    ( put_D_2126422573_h_i_l
    = ( ^ [Document_ptr: docume1935157360tr_d_e,Document: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ Document_ptr ) @ ( cast_D1252964113_h_i_l @ Document ) ) ) ) ).

% put\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_6_CharacterDataClass_Otype__wf_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w1771507213_j_k_l @ H )
     => ( type_w1771507213_j_k_l @ H ) ) ).

% CharacterDataClass.type_wf\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_7_type__wf_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w92696601_j_k_l @ H )
     => ( type_w92696601_j_k_l @ H ) ) ).

% type_wf\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t
thf(fact_8_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1735400259tr_b_c,Y: list_n282880152tr_b_c,Y2: list_n282880152tr_b_c] :
      ( ( heap_E258692314tr_b_c @ H @ F @ Y )
     => ( ( heap_E258692314tr_b_c @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_9_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E625070648t_unit,Y: product_unit,Y2: product_unit] :
      ( ( heap_E667013711t_unit @ H @ F @ Y )
     => ( ( heap_E667013711t_unit @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_10_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1188946203tr_d_e,Y: docume1935157360tr_d_e,Y2: docume1935157360tr_d_e] :
      ( ( heap_E2101731758tr_d_e @ H @ F @ Y )
     => ( ( heap_E2101731758tr_d_e @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_11_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E490335273_ptr_d,Y: shadow_root_ptr_d,Y2: shadow_root_ptr_d] :
      ( ( heap_E143427264_ptr_d @ H @ F @ Y )
     => ( ( heap_E143427264_ptr_d @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_12_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1186645633on_j_k,Y: rObjec1617416918on_j_k,Y2: rObjec1617416918on_j_k] :
      ( ( heap_E604544536on_j_k @ H @ F @ Y )
     => ( ( heap_E604544536on_j_k @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_13_id__def,axiom,
    ( id_ROb1998049991on_j_k
    = ( ^ [X2: rObjec1617416918on_j_k] : X2 ) ) ).

% id_def
thf(fact_14_eq__id__iff,axiom,
    ! [F: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( ! [X2: rObjec1617416918on_j_k] :
            ( ( F @ X2 )
            = X2 ) )
      = ( F = id_ROb1998049991on_j_k ) ) ).

% eq_id_iff
thf(fact_15_l__put__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t__lemmas__axioms,axiom,
    shadow722206742_j_k_l @ type_w92696601_j_k_l ).

% l_put_M\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t_lemmas_axioms
thf(fact_16_returns__heap__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1186645633on_j_k,H2: heap_S1465075775_j_k_l,H3: heap_S1465075775_j_k_l] :
      ( ( heap_E648129097on_j_k @ H @ F @ H2 )
     => ( ( heap_E648129097on_j_k @ H @ F @ H3 )
       => ( H2 = H3 ) ) ) ).

% returns_heap_eq
thf(fact_17_returns__heap__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1188946203tr_d_e,H2: heap_S1465075775_j_k_l,H3: heap_S1465075775_j_k_l] :
      ( ( heap_E2046843837tr_d_e @ H @ F @ H2 )
     => ( ( heap_E2046843837tr_d_e @ H @ F @ H3 )
       => ( H2 = H3 ) ) ) ).

% returns_heap_eq
thf(fact_18_returns__heap__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1661210526_ptr_a,H2: heap_S1465075775_j_k_l,H3: heap_S1465075775_j_k_l] :
      ( ( heap_E24690662_ptr_a @ H @ F @ H2 )
     => ( ( heap_E24690662_ptr_a @ H @ F @ H3 )
       => ( H2 = H3 ) ) ) ).

% returns_heap_eq
thf(fact_19_returns__heap__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1996099391_ptr_b,H2: heap_S1465075775_j_k_l,H3: heap_S1465075775_j_k_l] :
      ( ( heap_E1982034951_ptr_b @ H @ F @ H2 )
     => ( ( heap_E1982034951_ptr_b @ H @ F @ H3 )
       => ( H2 = H3 ) ) ) ).

% returns_heap_eq
thf(fact_20_returns__heap__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E490335273_ptr_d,H2: heap_S1465075775_j_k_l,H3: heap_S1465075775_j_k_l] :
      ( ( heap_E1738949233_ptr_d @ H @ F @ H2 )
     => ( ( heap_E1738949233_ptr_d @ H @ F @ H3 )
       => ( H2 = H3 ) ) ) ).

% returns_heap_eq
thf(fact_21_returns__heap__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E625070648t_unit,H2: heap_S1465075775_j_k_l,H3: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ F @ H2 )
     => ( ( heap_E494191872t_unit @ H @ F @ H3 )
       => ( H2 = H3 ) ) ) ).

% returns_heap_eq
thf(fact_22_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( product_unit > product_unit ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: product_unit,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > product_unit] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1656033077_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: product_unit] : V
                @ X3 ) )
            = V )
       => ( heap_E667013711t_unit @ H2 @ ( get_M_1965837010_h_i_l @ Document_ptr2 @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_23_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_2097930918_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: docume1935157360tr_d_e] : V
                @ X3 ) )
            = V )
       => ( heap_E2101731758tr_d_e @ H2 @ ( get_M_462148605_h_i_l @ Document_ptr2 @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_24_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1534590374_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: shadow_root_ptr_d] : V
                @ X3 ) )
            = V )
       => ( heap_E143427264_ptr_d @ H2 @ ( get_M_537718945_h_i_l @ Document_ptr2 @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_25_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_char] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) )
            = V )
       => ( heap_E804379039t_char @ H2 @ ( get_M_1536717772_h_i_l @ Document_ptr2 @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_26_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > option_element_ptr_a] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X3 ) )
            = V )
       => ( heap_E1091541499_ptr_a @ H2 @ ( get_M_1723352102_h_i_l @ Document_ptr2 @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_27_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) )
            = V )
       => ( heap_E604544536on_j_k @ H2 @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_28_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) )
            = V )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_29_returns__result__heap__def,axiom,
    ( heap_E2092016297_ptr_a
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E1661210526_ptr_a,R: element_ptr_a,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E1224694197_ptr_a @ H4 @ P @ R )
          & ( heap_E24690662_ptr_a @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_30_returns__result__heap__def,axiom,
    ( heap_E1679280842_ptr_b
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E1996099391_ptr_b,R: character_data_ptr_b,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E1554207190_ptr_b @ H4 @ P @ R )
          & ( heap_E1982034951_ptr_b @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_31_returns__result__heap__def,axiom,
    ( heap_E1361235918tr_b_c
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E1735400259tr_b_c,R: list_n282880152tr_b_c,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E258692314tr_b_c @ H4 @ P @ R )
          & ( heap_E959625611tr_b_c @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_32_returns__result__heap__def,axiom,
    ( heap_E1720378810tr_d_e
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E1188946203tr_d_e,R: docume1935157360tr_d_e,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E2101731758tr_d_e @ H4 @ P @ R )
          & ( heap_E2046843837tr_d_e @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_33_returns__result__heap__def,axiom,
    ( heap_E1655614900_ptr_d
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E490335273_ptr_d,R: shadow_root_ptr_d,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E143427264_ptr_d @ H4 @ P @ R )
          & ( heap_E1738949233_ptr_d @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_34_returns__result__heap__def,axiom,
    ( heap_E1993614659t_unit
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E625070648t_unit,R: product_unit,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E667013711t_unit @ H4 @ P @ R )
          & ( heap_E494191872t_unit @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_35_returns__result__heap__def,axiom,
    ( heap_E819109644on_j_k
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E1186645633on_j_k,R: rObjec1617416918on_j_k,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E604544536on_j_k @ H4 @ P @ R )
          & ( heap_E648129097on_j_k @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_36_return__heap__E,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,H3: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( heap_E1876089495eption @ H2 ) @ H3 )
      = ( H3 = H2 ) ) ).

% return_heap_E
thf(fact_37_noop__returns__heap,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ heap_E1613639261eption @ H2 )
      = ( H = H2 ) ) ).

% noop_returns_heap
thf(fact_38_CharacterDataClass_Otype__wf__def,axiom,
    type_w1771507213_j_k_l = l_type1003141153_j_k_l ).

% CharacterDataClass.type_wf_def
thf(fact_39_ShadowRootClass_Otype__wf__def,axiom,
    type_w92696601_j_k_l = l_type648988564_j_k_l ).

% ShadowRootClass.type_wf_def
thf(fact_40_put__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__disconnected__nodes__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ discon442323090on_j_k @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% put_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_disconnected_nodes_type_wf_preserved
thf(fact_41_RDocument_Ounfold__congs_I5_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: list_n282880152tr_b_c,F: list_n282880152tr_b_c > list_n282880152tr_b_c,F2: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( discon866287741on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( discon442323090on_j_k @ F @ R2 )
            = ( discon442323090on_j_k @ F2 @ R3 ) ) ) ) ) ).

% RDocument.unfold_congs(5)
thf(fact_42_RDocument_Ofold__congs_I5_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: list_n282880152tr_b_c,F: list_n282880152tr_b_c > list_n282880152tr_b_c,F2: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( discon866287741on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( discon442323090on_j_k @ F @ R2 )
            = ( discon442323090on_j_k @ F2 @ R3 ) ) ) ) ) ).

% RDocument.fold_congs(5)
thf(fact_43_is__shadow__root__kind__disconnected__nodes,axiom,
    ! [V: list_n282880152tr_b_c] :
      ( is_sha1522929624_b_j_k
      = ( ^ [X2: rObjec1617416918on_j_k] :
            ( is_sha1522929624_b_j_k
            @ ( discon442323090on_j_k
              @ ^ [Uu: list_n282880152tr_b_c] : V
              @ X2 ) ) ) ) ).

% is_shadow_root_kind_disconnected_nodes
thf(fact_44_CharacterDataClass_Ol__get_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a__lemmas__axioms,axiom,
    l_get_2113179812_j_k_l @ type_w1771507213_j_k_l ).

% CharacterDataClass.l_get\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a_lemmas_axioms
thf(fact_45_DocumentClass_Otype__wf_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w1479951274_j_k_l @ H )
     => ( type_w1479951274_j_k_l @ H ) ) ).

% DocumentClass.type_wf\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_46_DocumentClass_Ol__get_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a__lemmas__axioms,axiom,
    l_get_2113179812_j_k_l @ type_w1479951274_j_k_l ).

% DocumentClass.l_get\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a_lemmas_axioms
thf(fact_47_ShadowRootClass_Otype__wf_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w92696601_j_k_l @ H )
     => ( type_w1479951274_j_k_l @ H ) ) ).

% ShadowRootClass.type_wf\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_48_DocumentClass_Otype__wf_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w1479951274_j_k_l @ H )
     => ( type_w1771507213_j_k_l @ H ) ) ).

% DocumentClass.type_wf\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_49_ShadowRootClass_Ol__get_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a__lemmas__axioms,axiom,
    l_get_2113179812_j_k_l @ type_w92696601_j_k_l ).

% ShadowRootClass.l_get\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a_lemmas_axioms
thf(fact_50_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__doctype__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ doctyp68000440on_j_k @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.put_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_doctype_type_wf_preserved
thf(fact_51_DocumentMonad_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__document__element__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ docume244715269on_j_k @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.put_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_document_element_type_wf_preserved
thf(fact_52_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__doctype__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ doctyp68000440on_j_k @ V ) @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.put_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_doctype_type_wf_preserved
thf(fact_53_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__document__element__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ docume244715269on_j_k @ V ) @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.put_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_document_element_type_wf_preserved
thf(fact_54_DocumentClass_Otype__wf__def,axiom,
    type_w1479951274_j_k_l = l_type1130145226_j_k_l ).

% DocumentClass.type_wf_def
thf(fact_55_DocumentMonad_Otype__wf__put__I,axiom,
    ! [H: heap_S1465075775_j_k_l,Ptr: object945351580_d_e_f,Obj: rObjec1413572695_j_k_l] :
      ( ( type_w1479951274_j_k_l @ H )
     => ( ( type_w1771507213_j_k_l @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) )
       => ( ( ( is_doc45233057_d_e_f @ Ptr )
           => ( is_doc1417632087_j_k_l @ Obj ) )
         => ( type_w1479951274_j_k_l @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) ) ) ) ) ).

% DocumentMonad.type_wf_put_I
thf(fact_56_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_57_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_58_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_59_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_60_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_61_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_62_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_63_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k,Document_ptr3: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_64_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_65_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_66_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_67_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_68_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_69_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_70_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_71_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr3 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_72_new__document__is__l__new__document,axiom,
    l_new_1474790279_j_k_l @ type_w1479951274_j_k_l ).

% new_document_is_l_new_document
thf(fact_73_is__shadow__root__kind__doctype,axiom,
    ! [V: list_char] :
      ( is_sha1522929624_b_j_k
      = ( ^ [X2: rObjec1617416918on_j_k] :
            ( is_sha1522929624_b_j_k
            @ ( doctyp68000440on_j_k
              @ ^ [Uu: list_char] : V
              @ X2 ) ) ) ) ).

% is_shadow_root_kind_doctype
thf(fact_74_preserved__def,axiom,
    ( heap_E1516284546tr_b_c
    = ( ^ [F3: heap_E1735400259tr_b_c,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X2: list_n282880152tr_b_c] :
          ( ( heap_E258692314tr_b_c @ H4 @ F3 @ X2 )
          = ( heap_E258692314tr_b_c @ H5 @ F3 @ X2 ) ) ) ) ).

% preserved_def
thf(fact_75_preserved__def,axiom,
    ( heap_E1521571831t_unit
    = ( ^ [F3: heap_E625070648t_unit,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X2: product_unit] :
          ( ( heap_E667013711t_unit @ H4 @ F3 @ X2 )
          = ( heap_E667013711t_unit @ H5 @ F3 @ X2 ) ) ) ) ).

% preserved_def
thf(fact_76_preserved__def,axiom,
    ( heap_E808638982tr_d_e
    = ( ^ [F3: heap_E1188946203tr_d_e,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X2: docume1935157360tr_d_e] :
          ( ( heap_E2101731758tr_d_e @ H4 @ F3 @ X2 )
          = ( heap_E2101731758tr_d_e @ H5 @ F3 @ X2 ) ) ) ) ).

% preserved_def
thf(fact_77_preserved__def,axiom,
    ( heap_E2123723880_ptr_d
    = ( ^ [F3: heap_E490335273_ptr_d,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X2: shadow_root_ptr_d] :
          ( ( heap_E143427264_ptr_d @ H4 @ F3 @ X2 )
          = ( heap_E143427264_ptr_d @ H5 @ F3 @ X2 ) ) ) ) ).

% preserved_def
thf(fact_78_preserved__def,axiom,
    ( heap_E1358110656on_j_k
    = ( ^ [F3: heap_E1186645633on_j_k,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X2: rObjec1617416918on_j_k] :
          ( ( heap_E604544536on_j_k @ H4 @ F3 @ X2 )
          = ( heap_E604544536on_j_k @ H5 @ F3 @ X2 ) ) ) ) ).

% preserved_def
thf(fact_79_document__ptr__document__ptr__cast,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e] : ( is_doc45233057_d_e_f @ ( cast_d1608273229_b_c_f @ Document_ptr2 ) ) ).

% document_ptr_document_ptr_cast
thf(fact_80_is__document__ptr__kind__obtains,axiom,
    ! [Ptr: object945351580_d_e_f] :
      ( ( is_doc45233057_d_e_f @ Ptr )
     => ~ ! [Document_ptr4: docume1935157360tr_d_e] :
            ( Ptr
           != ( cast_d1608273229_b_c_f @ Document_ptr4 ) ) ) ).

% is_document_ptr_kind_obtains
thf(fact_81_is__shadow__root__kind__document__element,axiom,
    ! [V: option_element_ptr_a] :
      ( is_sha1522929624_b_j_k
      = ( ^ [X2: rObjec1617416918on_j_k] :
            ( is_sha1522929624_b_j_k
            @ ( docume244715269on_j_k
              @ ^ [Uu: option_element_ptr_a] : V
              @ X2 ) ) ) ) ).

% is_shadow_root_kind_document_element
thf(fact_82_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: list_n282880152tr_b_c] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_83_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: rObjec1617416918on_j_k] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_84_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_85_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: option_element_ptr_a] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_86_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_87_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_88_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_89_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_90_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr2 )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_91_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr2 )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_92_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr2 )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_93_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr2 )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_94_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_95_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_96_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_97_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_98_get__M__Mdocument__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved9
thf(fact_99_get__M__Mdocument__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved9
thf(fact_100_get__M__Mdocument__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved9
thf(fact_101_get__M__Mdocument__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved9
thf(fact_102_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_103_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_104_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_105_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_106_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_107_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_108_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_109_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_110_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > list_n282880152tr_b_c,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_n282880152tr_b_c,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_n282880152tr_b_c] : V
              @ X3 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_318275117_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_1125451418_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_111_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > product_unit,Setter: ( product_unit > product_unit ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: product_unit,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: product_unit] : V
              @ X3 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1374331384_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E667013711t_unit @ H2 @ ( get_M_1903403023_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_112_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > docume1935157360tr_d_e,Setter: ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: docume1935157360tr_d_e] : V
              @ X3 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_726238649_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E2101731758tr_d_e @ H2 @ ( get_M_1865279188_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_113_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > shadow_root_ptr_d,Setter: ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: shadow_root_ptr_d,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: shadow_root_ptr_d] : V
              @ X3 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1888382407_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E143427264_ptr_d @ H2 @ ( get_M_1086441344_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_114_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > list_char,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_char] : V
              @ X3 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E804379039t_char @ H2 @ ( get_M_2088872005_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_115_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: rObjec1617416918on_j_k] : V
              @ X3 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E604544536on_j_k @ H2 @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_116_CharacterData__simp3,axiom,
    ! [Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l,Character_data_ptr2: character_data_ptr_b] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: rObjec1617416918on_j_k] : V
              @ X3 ) )
          = ( Getter @ X3 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp3
thf(fact_117_CharacterData__simp3,axiom,
    ! [Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l,Character_data_ptr2: character_data_ptr_b] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_char] : V
              @ X3 ) )
          = ( Getter @ X3 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp3
thf(fact_118_CharacterData__simp4,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp4
thf(fact_119_CharacterData__simp4,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp4
thf(fact_120_CharacterData__simp2,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Character_data_ptr2: character_data_ptr_b,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( Character_data_ptr != Character_data_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp2
thf(fact_121_CharacterData__simp2,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Character_data_ptr2: character_data_ptr_b,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( Character_data_ptr != Character_data_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp2
thf(fact_122_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a__val__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ val_update_option_h @ V ) @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.put_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a_val_type_wf_preserved
thf(fact_123_DocumentMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a__val__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ val_update_option_h @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.put_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a_val_type_wf_preserved
thf(fact_124_CharacterData__simp9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1148923485tion_h] :
            ( ( Getter
              @ ( cast_C1209085999_d_g_i
                @ ( Setter
                  @ ^ [Uu: rObjec1617416918on_j_k] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_C1209085999_d_g_i @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp9
thf(fact_125_CharacterData__simp9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1148923485tion_h] :
            ( ( Getter
              @ ( cast_C1209085999_d_g_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_C1209085999_d_g_i @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp9
thf(fact_126_CharacterData__simp7,axiom,
    ! [Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( cast_C1209085999_d_g_i
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_C1209085999_d_g_i @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp7
thf(fact_127_CharacterData__simp7,axiom,
    ! [Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( cast_C1209085999_d_g_i
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_C1209085999_d_g_i @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp7
thf(fact_128_CharacterDataMonad_Oput__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a__val__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ val_update_option_h @ V ) @ H2 )
     => ( ( type_w1771507213_j_k_l @ H )
        = ( type_w1771507213_j_k_l @ H2 ) ) ) ).

% CharacterDataMonad.put_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a_val_type_wf_preserved
thf(fact_129_CharacterData__simp12,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1148923485tion_h] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_C1209085999_d_g_i
                  @ ( Setter
                    @ ^ [Uu: rObjec1617416918on_j_k] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_C1209085999_d_g_i @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp12
thf(fact_130_CharacterData__simp12,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1148923485tion_h] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_C1209085999_d_g_i
                  @ ( Setter
                    @ ^ [Uu: list_char] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_C1209085999_d_g_i @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp12
thf(fact_131_CharacterData__simp6,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_C1209085999_d_g_i
                @ ( Setter
                  @ ^ [Uu: rObjec1617416918on_j_k] : V
                  @ X3 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_C1209085999_d_g_i @ X3 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp6
thf(fact_132_CharacterData__simp6,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_C1209085999_d_g_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X3 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_C1209085999_d_g_i @ X3 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp6
thf(fact_133_CharacterData__simp8,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Node_ptr: node_p1234578834tr_b_c,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( ( cast_c164415100_b_a_c @ Character_data_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp8
thf(fact_134_CharacterData__simp8,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Node_ptr: node_p1234578834tr_b_c,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( ( cast_c164415100_b_a_c @ Character_data_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp8
thf(fact_135_new__document__get__M_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e,Ptr: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( ( Ptr
           != ( cast_d1608273229_b_c_f @ New_document_ptr ) )
         => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_document_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_136_CharacterData__simp5,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_137_CharacterData__simp5,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_138_CharacterData__simp5,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_139_CharacterData__simp5,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_140_CharacterData__simp5,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_141_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_142_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_143_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_144_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_145_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_146_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_147_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_148_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_149_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_150_get__M__Mdocument__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_151_ShadowRootMonad__Mirabelle__cxkpltyzhu_Onew__document__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.new_document_type_wf_preserved
thf(fact_152_DocumentMonad_Onew__document__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.new_document_type_wf_preserved
thf(fact_153_cast__document__ptr__not__node__ptr_I2_J,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c,Document_ptr2: docume1935157360tr_d_e] :
      ( ( cast_n552817316_d_e_f @ Node_ptr )
     != ( cast_d1608273229_b_c_f @ Document_ptr2 ) ) ).

% cast_document_ptr_not_node_ptr(2)
thf(fact_154_cast__document__ptr__not__node__ptr_I1_J,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Node_ptr: node_p1234578834tr_b_c] :
      ( ( cast_d1608273229_b_c_f @ Document_ptr2 )
     != ( cast_n552817316_d_e_f @ Node_ptr ) ) ).

% cast_document_ptr_not_node_ptr(1)
thf(fact_155_cast__document__not__node_I2_J,axiom,
    ! [Node: rObjec1922030987on_h_i,Document2: rObjec1617416918on_j_k] :
      ( ( cast_N1183075319_j_k_l @ Node )
     != ( cast_D1252964113_h_i_l @ Document2 ) ) ).

% cast_document_not_node(2)
thf(fact_156_cast__document__not__node_I1_J,axiom,
    ! [Document2: rObjec1617416918on_j_k,Node: rObjec1922030987on_h_i] :
      ( ( cast_D1252964113_h_i_l @ Document2 )
     != ( cast_N1183075319_j_k_l @ Node ) ) ).

% cast_document_not_node(1)
thf(fact_157_document__ptr__no__node__ptr__cast,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c] :
      ~ ( is_doc45233057_d_e_f @ ( cast_n552817316_d_e_f @ Node_ptr ) ) ).

% document_ptr_no_node_ptr_cast
thf(fact_158_l__new__document_Onew__document__types__preserved,axiom,
    ! [Type_wf: heap_S1465075775_j_k_l > $o,H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( l_new_1474790279_j_k_l @ Type_wf )
     => ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
       => ( ( Type_wf @ H )
          = ( Type_wf @ H2 ) ) ) ) ).

% l_new_document.new_document_types_preserved
thf(fact_159_l__new__document_Ointro,axiom,
    ! [Type_wf: heap_S1465075775_j_k_l > $o] :
      ( ! [H6: heap_S1465075775_j_k_l,H7: heap_S1465075775_j_k_l] :
          ( ( heap_E2046843837tr_d_e @ H6 @ new_do4779043_j_k_l @ H7 )
         => ( ( Type_wf @ H6 )
            = ( Type_wf @ H7 ) ) )
     => ( l_new_1474790279_j_k_l @ Type_wf ) ) ).

% l_new_document.intro
thf(fact_160_l__new__document__def,axiom,
    ( l_new_1474790279_j_k_l
    = ( ^ [Type_wf2: heap_S1465075775_j_k_l > $o] :
        ! [H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E2046843837tr_d_e @ H4 @ new_do4779043_j_k_l @ H5 )
         => ( ( Type_wf2 @ H4 )
            = ( Type_wf2 @ H5 ) ) ) ) ) ).

% l_new_document_def
thf(fact_161_CharacterData__simp11,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_n552817316_d_e_f @ ( cast_c164415100_b_a_c @ Character_data_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp11
thf(fact_162_CharacterData__simp11,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_n552817316_d_e_f @ ( cast_c164415100_b_a_c @ Character_data_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp11
thf(fact_163_new__document__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( ( Ptr != New_document_ptr )
         => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_document_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_164_new__document__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( ( Ptr != New_document_ptr )
         => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_document_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_165_new__document__get__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e,Ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% new_document_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_166_new__document__get__M_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e,Ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% new_document_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_167_new__document__get__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e,Ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% new_document_get_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_168_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( product_unit > product_unit ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: product_unit,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > product_unit] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1101791239_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: product_unit] : V
                @ X3 ) )
            = V )
       => ( heap_E667013711t_unit @ H2 @ ( get_M_1238860946_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_169_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1236788814_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: docume1935157360tr_d_e] : V
                @ X3 ) )
            = V )
       => ( heap_E2101731758tr_d_e @ H2 @ ( get_M_650077447_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_170_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1672180822_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: shadow_root_ptr_d] : V
                @ X3 ) )
            = V )
       => ( heap_E143427264_ptr_d @ H2 @ ( get_M_2008432865_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_171_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > finite1621822014t_char] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: finite1621822014t_char] : V
                @ X3 ) )
            = V )
       => ( heap_E946351744t_char @ H2 @ ( get_M_685446945_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_172_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > list_char] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) )
            = V )
       => ( heap_E804379039t_char @ H2 @ ( get_M_51280086_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_173_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) )
            = V )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_88885319_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_174_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > option147517124_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option147517124_ptr_d] : V
                @ X3 ) )
            = V )
       => ( heap_E1947147782_ptr_d @ H2 @ ( get_M_1154267419_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_175_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) )
            = V )
       => ( heap_E604544536on_j_k @ H2 @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_176_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Element_ptr2: element_ptr_a] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: rObjec1617416918on_j_k] : V
              @ X3 ) )
          = ( Getter @ X3 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_177_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Element_ptr2: element_ptr_a] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: finite1621822014t_char] : V
              @ X3 ) )
          = ( Getter @ X3 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_178_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Element_ptr2: element_ptr_a] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_char] : V
              @ X3 ) )
          = ( Getter @ X3 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_179_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Element_ptr2: element_ptr_a] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_n282880152tr_b_c] : V
              @ X3 ) )
          = ( Getter @ X3 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_180_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Element_ptr2: element_ptr_a] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: option147517124_ptr_d] : V
              @ X3 ) )
          = ( Getter @ X3 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_181_get__M__Element__preserved1,axiom,
    ! [Element_ptr: element_ptr_a,Element_ptr2: element_ptr_a,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_182_get__M__Element__preserved1,axiom,
    ! [Element_ptr: element_ptr_a,Element_ptr2: element_ptr_a,H: heap_S1465075775_j_k_l,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_183_get__M__Element__preserved1,axiom,
    ! [Element_ptr: element_ptr_a,Element_ptr2: element_ptr_a,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_184_get__M__Element__preserved1,axiom,
    ! [Element_ptr: element_ptr_a,Element_ptr2: element_ptr_a,H: heap_S1465075775_j_k_l,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_185_get__M__Element__preserved1,axiom,
    ! [Element_ptr: element_ptr_a,Element_ptr2: element_ptr_a,H: heap_S1465075775_j_k_l,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_186_get__M__Element__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: rObjec1617416918on_j_k] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_187_get__M__Element__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: finite1621822014t_char] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_188_get__M__Element__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: list_char] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_189_get__M__Element__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: list_n282880152tr_b_c] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_190_get__M__Element__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: option147517124_ptr_d] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_191_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: rObjec1617416918on_j_k] : V
                  @ X3 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_192_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: finite1621822014t_char] : V
                  @ X3 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_193_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X3 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_194_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_n282880152tr_b_c] : V
                  @ X3 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_195_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: option147517124_ptr_d] : V
                  @ X3 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X3 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_196_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_197_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: finite1621822014t_char] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_198_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_199_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_200_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c] :
      ( ! [X3: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: option147517124_ptr_d] : V
                @ X3 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_201_get__M__Element__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: rObjec1617416918on_j_k] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_202_get__M__Element__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: finite1621822014t_char] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_203_get__M__Element__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_204_get__M__Element__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_n282880152tr_b_c] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_205_get__M__Element__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: option147517124_ptr_d] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_206_get__M__Element__preserved5,axiom,
    ! [Element_ptr: element_ptr_a,Node_ptr: node_p1234578834tr_b_c,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_207_get__M__Element__preserved5,axiom,
    ! [Element_ptr: element_ptr_a,Node_ptr: node_p1234578834tr_b_c,H: heap_S1465075775_j_k_l,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_208_get__M__Element__preserved5,axiom,
    ! [Element_ptr: element_ptr_a,Node_ptr: node_p1234578834tr_b_c,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_209_get__M__Element__preserved5,axiom,
    ! [Element_ptr: element_ptr_a,Node_ptr: node_p1234578834tr_b_c,H: heap_S1465075775_j_k_l,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_210_get__M__Element__preserved5,axiom,
    ! [Element_ptr: element_ptr_a,Node_ptr: node_p1234578834tr_b_c,H: heap_S1465075775_j_k_l,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_211_get__M__Element__preserved8,axiom,
    ! [Element_ptr: element_ptr_a,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_n552817316_d_e_f @ ( cast_e316309897tr_b_c @ Element_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_212_get__M__Element__preserved8,axiom,
    ! [Element_ptr: element_ptr_a,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_n552817316_d_e_f @ ( cast_e316309897tr_b_c @ Element_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_213_get__M__Element__preserved8,axiom,
    ! [Element_ptr: element_ptr_a,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_n552817316_d_e_f @ ( cast_e316309897tr_b_c @ Element_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_214_get__M__Element__preserved8,axiom,
    ! [Element_ptr: element_ptr_a,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_n552817316_d_e_f @ ( cast_e316309897tr_b_c @ Element_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_215_get__M__Element__preserved8,axiom,
    ! [Element_ptr: element_ptr_a,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_n552817316_d_e_f @ ( cast_e316309897tr_b_c @ Element_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_216_new__character__data__get__M_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_ch844909330ta_ptr: character_data_ptr_b,Ptr: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
       => ( ( Ptr
           != ( cast_n552817316_d_e_f @ ( cast_c164415100_b_a_c @ New_ch844909330ta_ptr ) ) )
         => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_character_data_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_217_new__element__get__M_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_element_ptr: element_ptr_a,Ptr: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
       => ( ( Ptr
           != ( cast_n552817316_d_e_f @ ( cast_e316309897tr_b_c @ New_element_ptr ) ) )
         => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_element_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_218_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__attrs__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ attrs_1280717024tion_g @ V ) @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_attrs_type_wf_preserved
thf(fact_219_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__tag__name__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ tag_na7058269tion_g @ V ) @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_tag_name_type_wf_preserved
thf(fact_220_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__child__nodes__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ child_1596411111tion_g @ V ) @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_child_nodes_type_wf_preserved
thf(fact_221_DocumentMonad_Onew__element__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.new_element_type_wf_preserved
thf(fact_222_DocumentMonad_Onew__character__data__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.new_character_data_type_wf_preserved
thf(fact_223_ShadowRootMonad__Mirabelle__cxkpltyzhu_Onew__element__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.new_element_type_wf_preserved
thf(fact_224_ShadowRootMonad__Mirabelle__cxkpltyzhu_Onew__character__data__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.new_character_data_type_wf_preserved
thf(fact_225_CharacterDataMonad_Onew__element__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( type_w1771507213_j_k_l @ H )
        = ( type_w1771507213_j_k_l @ H2 ) ) ) ).

% CharacterDataMonad.new_element_type_wf_preserved
thf(fact_226_CharacterDataMonad_Onew__character__data__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( type_w1771507213_j_k_l @ H )
        = ( type_w1771507213_j_k_l @ H2 ) ) ) ).

% CharacterDataMonad.new_character_data_type_wf_preserved
thf(fact_227_CharacterDataMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__attrs__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ attrs_1280717024tion_g @ V ) @ H2 )
     => ( ( type_w1771507213_j_k_l @ H )
        = ( type_w1771507213_j_k_l @ H2 ) ) ) ).

% CharacterDataMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_attrs_type_wf_preserved
thf(fact_228_CharacterDataMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__tag__name__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ tag_na7058269tion_g @ V ) @ H2 )
     => ( ( type_w1771507213_j_k_l @ H )
        = ( type_w1771507213_j_k_l @ H2 ) ) ) ).

% CharacterDataMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_tag_name_type_wf_preserved
thf(fact_229_CharacterDataMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__child__nodes__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ child_1596411111tion_g @ V ) @ H2 )
     => ( ( type_w1771507213_j_k_l @ H )
        = ( type_w1771507213_j_k_l @ H2 ) ) ) ).

% CharacterDataMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_child_nodes_type_wf_preserved
thf(fact_230_DocumentMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__child__nodes__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ child_1596411111tion_g @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_child_nodes_type_wf_preserved
thf(fact_231_DocumentMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__tag__name__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ tag_na7058269tion_g @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_tag_name_type_wf_preserved
thf(fact_232_DocumentMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__attrs__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ attrs_1280717024tion_g @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_attrs_type_wf_preserved
thf(fact_233_new__element__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% new_element_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_234_new__element__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% new_element_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_235_new__element__get__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% new_element_get_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_236_new__element__get__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_element_ptr: element_ptr_a,Ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
       => ( ( Ptr != New_element_ptr )
         => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_element_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_237_new__character__data__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% new_character_data_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_238_new__character__data__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% new_character_data_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_239_new__character__data__get__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_ch844909330ta_ptr: character_data_ptr_b,Ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
       => ( ( Ptr != New_ch844909330ta_ptr )
         => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_character_data_get_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_240_new__character__data__get__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_ch844909330ta_ptr: character_data_ptr_b,Ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% new_character_data_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_241_new__element__get__M_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_element_ptr: element_ptr_a,Ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
       => ( ( Ptr
           != ( cast_e316309897tr_b_c @ New_element_ptr ) )
         => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_element_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_242_new__character__data__get__M_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_ch844909330ta_ptr: character_data_ptr_b,Ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
       => ( ( Ptr
           != ( cast_c164415100_b_a_c @ New_ch844909330ta_ptr ) )
         => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_character_data_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_243_l__new__character__data__def,axiom,
    ( l_new_410495338_j_k_l
    = ( ^ [Type_wf2: heap_S1465075775_j_k_l > $o] :
        ! [H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E1982034951_ptr_b @ H4 @ new_ch829669006_j_k_l @ H5 )
         => ( ( Type_wf2 @ H4 )
            = ( Type_wf2 @ H5 ) ) ) ) ) ).

% l_new_character_data_def
thf(fact_244_l__new__character__data_Ointro,axiom,
    ! [Type_wf: heap_S1465075775_j_k_l > $o] :
      ( ! [H6: heap_S1465075775_j_k_l,H7: heap_S1465075775_j_k_l] :
          ( ( heap_E1982034951_ptr_b @ H6 @ new_ch829669006_j_k_l @ H7 )
         => ( ( Type_wf @ H6 )
            = ( Type_wf @ H7 ) ) )
     => ( l_new_410495338_j_k_l @ Type_wf ) ) ).

% l_new_character_data.intro
thf(fact_245_l__new__character__data_Onew__character__data__types__preserved,axiom,
    ! [Type_wf: heap_S1465075775_j_k_l > $o,H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( l_new_410495338_j_k_l @ Type_wf )
     => ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
       => ( ( Type_wf @ H )
          = ( Type_wf @ H2 ) ) ) ) ).

% l_new_character_data.new_character_data_types_preserved
thf(fact_246_l__new__element__def,axiom,
    ( l_new_540233301_j_k_l
    = ( ^ [Type_wf2: heap_S1465075775_j_k_l > $o] :
        ! [H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E24690662_ptr_a @ H4 @ new_el717272935_j_k_l @ H5 )
         => ( ( Type_wf2 @ H4 )
            = ( Type_wf2 @ H5 ) ) ) ) ) ).

% l_new_element_def
thf(fact_247_l__new__element_Ointro,axiom,
    ! [Type_wf: heap_S1465075775_j_k_l > $o] :
      ( ! [H6: heap_S1465075775_j_k_l,H7: heap_S1465075775_j_k_l] :
          ( ( heap_E24690662_ptr_a @ H6 @ new_el717272935_j_k_l @ H7 )
         => ( ( Type_wf @ H6 )
            = ( Type_wf @ H7 ) ) )
     => ( l_new_540233301_j_k_l @ Type_wf ) ) ).

% l_new_element.intro
thf(fact_248_DocumentMonad_Onew__element__is__l__new__element,axiom,
    l_new_540233301_j_k_l @ type_w1479951274_j_k_l ).

% DocumentMonad.new_element_is_l_new_element
thf(fact_249_DocumentMonad_Onew__character__data__is__l__new__character__data,axiom,
    l_new_410495338_j_k_l @ type_w1479951274_j_k_l ).

% DocumentMonad.new_character_data_is_l_new_character_data
thf(fact_250_CharacterDataMonad_Onew__element__is__l__new__element,axiom,
    l_new_540233301_j_k_l @ type_w1771507213_j_k_l ).

% CharacterDataMonad.new_element_is_l_new_element
thf(fact_251_CharacterDataMonad_Onew__character__data__is__l__new__character__data,axiom,
    l_new_410495338_j_k_l @ type_w1771507213_j_k_l ).

% CharacterDataMonad.new_character_data_is_l_new_character_data
thf(fact_252_l__new__element_Onew__element__types__preserved,axiom,
    ! [Type_wf: heap_S1465075775_j_k_l > $o,H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( l_new_540233301_j_k_l @ Type_wf )
     => ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
       => ( ( Type_wf @ H )
          = ( Type_wf @ H2 ) ) ) ) ).

% l_new_element.new_element_types_preserved
thf(fact_253_ShadowRootMonad__Mirabelle__cxkpltyzhu_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__shadow__root__opt__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ shadow1606659473tion_g @ V ) @ H2 )
     => ( ( type_w92696601_j_k_l @ H )
        = ( type_w92696601_j_k_l @ H2 ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_shadow_root_opt_type_wf_preserved
thf(fact_254_DocumentMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__shadow__root__opt__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ shadow1606659473tion_g @ V ) @ H2 )
     => ( ( type_w1479951274_j_k_l @ H )
        = ( type_w1479951274_j_k_l @ H2 ) ) ) ).

% DocumentMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_shadow_root_opt_type_wf_preserved
thf(fact_255_CharacterDataMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__shadow__root__opt__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ shadow1606659473tion_g @ V ) @ H2 )
     => ( ( type_w1771507213_j_k_l @ H )
        = ( type_w1771507213_j_k_l @ H2 ) ) ) ).

% CharacterDataMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_shadow_root_opt_type_wf_preserved
thf(fact_256_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__child__nodes__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ child_1596411111tion_g @ V ) @ H2 )
     => ( ( type_w697503069_j_k_l @ H )
        = ( type_w697503069_j_k_l @ H2 ) ) ) ).

% ElementMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_child_nodes_type_wf_preserved
thf(fact_257_ElementMonad_Onew__element__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( type_w697503069_j_k_l @ H )
        = ( type_w697503069_j_k_l @ H2 ) ) ) ).

% ElementMonad.new_element_type_wf_preserved
thf(fact_258_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__shadow__root__opt__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ shadow1606659473tion_g @ V ) @ H2 )
     => ( ( type_w697503069_j_k_l @ H )
        = ( type_w697503069_j_k_l @ H2 ) ) ) ).

% ElementMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_shadow_root_opt_type_wf_preserved
thf(fact_259_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__attrs__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ attrs_1280717024tion_g @ V ) @ H2 )
     => ( ( type_w697503069_j_k_l @ H )
        = ( type_w697503069_j_k_l @ H2 ) ) ) ).

% ElementMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_attrs_type_wf_preserved
thf(fact_260_ElementMonad_Oput__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__tag__name__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ tag_na7058269tion_g @ V ) @ H2 )
     => ( ( type_w697503069_j_k_l @ H )
        = ( type_w697503069_j_k_l @ H2 ) ) ) ).

% ElementMonad.put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_tag_name_type_wf_preserved
thf(fact_261_DocumentClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w1479951274_j_k_l @ H )
     => ( type_w697503069_j_k_l @ H ) ) ).

% DocumentClass.type_wf\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_262_ShadowRootClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w92696601_j_k_l @ H )
     => ( type_w697503069_j_k_l @ H ) ) ).

% ShadowRootClass.type_wf\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_263_CharacterDataClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w1771507213_j_k_l @ H )
     => ( type_w697503069_j_k_l @ H ) ) ).

% CharacterDataClass.type_wf\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_264_new__element__get__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% new_element_get_M\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t
thf(fact_265_new__character__data__get__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% new_character_data_get_M\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t
thf(fact_266_new__character__data__is__character__data__ptr,axiom,
    ! [H: heap_S1465075775_j_k_l,New_ch844909330ta_ptr: character_data_ptr_b] :
      ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
     => ( is_cha504820986_t_r_b @ New_ch844909330ta_ptr ) ) ).

% new_character_data_is_character_data_ptr
thf(fact_267_new__document__is__document__ptr,axiom,
    ! [H: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e] :
      ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
     => ( is_doc2037328342tr_d_e @ New_document_ptr ) ) ).

% new_document_is_document_ptr
thf(fact_268_get__M__Mshadow__root__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1494070654_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_269_get__M__Mshadow__root__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: finite1621822014t_char,H2: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_270_get__M__Mshadow__root__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_char,H2: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_271_get__M__Mshadow__root__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_272_get__M__Mshadow__root__preserved7,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( option147517124_ptr_d > option147517124_ptr_d ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: option147517124_ptr_d,H2: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_273_get__M__Mshadow__root__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_643150959_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved9
thf(fact_274_get__M__Mshadow__root__preserved9,axiom,
    ! [H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Setter: ( list_char > list_char ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: list_char,H2: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved9
thf(fact_275_new__document__get__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
     => ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
       => ( ( ( cast_s253715760_r_d_e @ Ptr )
           != New_document_ptr )
         => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_document_get_M\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t
thf(fact_276_delete__shadow__root__get__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Shadow_root_ptr2: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1961719995_j_k_l @ Shadow_root_ptr ) @ H2 )
     => ( ( Shadow_root_ptr != Shadow_root_ptr2 )
       => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% delete_shadow_root_get_M\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t
thf(fact_277_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_278_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_279_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_280_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_281_delete__shadow__root__get__M_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Ptr: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1961719995_j_k_l @ Shadow_root_ptr ) @ H2 )
     => ( ( Ptr
         != ( cast_d1608273229_b_c_f @ ( cast_s253715760_r_d_e @ Shadow_root_ptr ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% delete_shadow_root_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_282_delete__shadow__root__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Ptr: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Ptr )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1961719995_j_k_l @ Shadow_root_ptr ) @ H2 )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% delete_shadow_root_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_283_delete__shadow__root__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Ptr: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Ptr )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1961719995_j_k_l @ Shadow_root_ptr ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% delete_shadow_root_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_284_delete__shadow__root__get__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1961719995_j_k_l @ Shadow_root_ptr ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% delete_shadow_root_get_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_285_delete__shadow__root__get__M_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1961719995_j_k_l @ Shadow_root_ptr ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% delete_shadow_root_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_286_delete__shadow__root__get__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1961719995_j_k_l @ Shadow_root_ptr ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ).

% delete_shadow_root_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_287_get__M__Mshadow__root__preserved3,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved3
thf(fact_288_get__M__Mshadow__root__preserved3,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved3
thf(fact_289_get__M__document__put__M__shadow__root__different__pointers,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Shadow_root_ptr: shadow_root_ptr_d,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( Document_ptr2
       != ( cast_s253715760_r_d_e @ Shadow_root_ptr ) )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_document_put_M_shadow_root_different_pointers
thf(fact_290_get__M__document__put__M__shadow__root__different__pointers,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Shadow_root_ptr: shadow_root_ptr_d,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( Document_ptr2
       != ( cast_s253715760_r_d_e @ Shadow_root_ptr ) )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_document_put_M_shadow_root_different_pointers
thf(fact_291_get__M__Mshadow__root__preserved3a,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( ( cast_d1608273229_b_c_f @ ( cast_s253715760_r_d_e @ Shadow_root_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved3a
thf(fact_292_get__M__Mshadow__root__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved6
thf(fact_293_get__M__Mshadow__root__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved2
thf(fact_294_get__M__Mshadow__root__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved8
thf(fact_295_get__M__Mshadow__root__preserved1,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Shadow_root_ptr2: shadow_root_ptr_d,H: heap_S1465075775_j_k_l,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( Shadow_root_ptr != Shadow_root_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved1
thf(fact_296_shadow__root__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k,Shadow_root_ptr2: shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) )
            = ( Getter @ X3 ) )
       => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% shadow_root_put_get_preserved
thf(fact_297_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > list_n282880152tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( shadow505265920_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) )
            = V )
       => ( heap_E258692314tr_b_c @ H2 @ ( shadow759301011_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_298_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( product_unit > product_unit ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: product_unit,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > product_unit] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1110190411_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: product_unit] : V
                @ X3 ) )
            = V )
       => ( heap_E667013711t_unit @ H2 @ ( shadow2050000606_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_299_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( docume1935157360tr_d_e > docume1935157360tr_d_e ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1464843188_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: docume1935157360tr_d_e] : V
                @ X3 ) )
            = V )
       => ( heap_E2101731758tr_d_e @ H2 @ ( shadow1068876397_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_300_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( shadow_root_ptr_d > shadow_root_ptr_d ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: shadow_root_ptr_d,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( shadow46861722_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: shadow_root_ptr_d] : V
                @ X3 ) )
            = V )
       => ( heap_E143427264_ptr_d @ H2 @ ( shadow1130895149_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_301_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) )
            = V )
       => ( heap_E604544536on_j_k @ H2 @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_302_get__M__Mshadow__root__preserved4a,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( cast_S988036065_b_j_k
                  @ ( Setter
                    @ ^ [Uu: rObjec1617416918on_j_k] : V
                    @ X3 ) ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ ( cast_S988036065_b_j_k @ X3 ) ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved4a
thf(fact_303_get__M__Mshadow__root__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( cast_S988036065_b_j_k
                @ ( Setter
                  @ ^ [Uu: rObjec1617416918on_j_k] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_S988036065_b_j_k @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved4
thf(fact_304_get__M__Mshadow__root__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( cast_S988036065_b_j_k
                @ ( Setter
                  @ ^ [Uu: rObjec1617416918on_j_k] : V
                  @ X3 ) ) )
            = ( Getter @ ( cast_S988036065_b_j_k @ X3 ) ) )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved4
thf(fact_305_new__shadow__root__get__M_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d,Ptr: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > rObjec1617416918on_j_k] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( ( Ptr
           != ( cast_d1608273229_b_c_f @ ( cast_s253715760_r_d_e @ New_shadow_root_ptr ) ) )
         => ( heap_E1358110656on_j_k @ ( get_M_1030798962on_j_k @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_shadow_root_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_306_cast_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__inject,axiom,
    ! [X: rObjec2068690451tion_j,Y: rObjec2068690451tion_j] :
      ( ( ( cast_S988036065_b_j_k @ X )
        = ( cast_S988036065_b_j_k @ Y ) )
      = ( X = Y ) ) ).

% cast\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t\<^sub>2\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_inject
thf(fact_307_new__shadow__root__get__M_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d,Ptr: shadow_root_ptr_d,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( ( Ptr != New_shadow_root_ptr )
         => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_shadow_root_get_M\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t
thf(fact_308_new__shadow__root__get__M_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d,Ptr: element_ptr_a,Getter: rObjec1875798643tion_g > rObjec1617416918on_j_k] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( heap_E1358110656on_j_k @ ( get_M_1990067849_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% new_shadow_root_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_309_new__shadow__root__get__M_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d,Ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > rObjec1617416918on_j_k] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( heap_E1358110656on_j_k @ ( get_M_922904437_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% new_shadow_root_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_310_new__shadow__root__get__M_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d,Ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > rObjec1617416918on_j_k] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( heap_E1358110656on_j_k @ ( get_M_2133515608_j_k_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ).

% new_shadow_root_get_M\<^sub>C\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>D\<^sub>a\<^sub>t\<^sub>a
thf(fact_311_new__shadow__root__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( ( Ptr
           != ( cast_s253715760_r_d_e @ New_shadow_root_ptr ) )
         => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_shadow_root_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_312_new__shadow__root__get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d,Ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( ( Ptr
           != ( cast_s253715760_r_d_e @ New_shadow_root_ptr ) )
         => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% new_shadow_root_get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_313_new__shadow__root__disconnected__nodes,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_shadow_root_ptr: shadow_root_ptr_d] :
      ( ( heap_E1738949233_ptr_d @ H @ shadow641561368_j_k_l @ H2 )
     => ( ( heap_E143427264_ptr_d @ H @ shadow641561368_j_k_l @ New_shadow_root_ptr )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_986049031_h_i_l @ ( cast_s253715760_r_d_e @ New_shadow_root_ptr ) @ discon866287741on_j_k ) @ nil_no279930520tr_b_c ) ) ) ).

% new_shadow_root_disconnected_nodes
thf(fact_314_new__element__is__element__ptr,axiom,
    ! [H: heap_S1465075775_j_k_l,New_element_ptr: element_ptr_a] :
      ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
     => ( is_ele1129207902_t_r_a @ New_element_ptr ) ) ).

% new_element_is_element_ptr
thf(fact_315_get__M__shadow__root__put__M__document,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_n282880152tr_b_c,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k,Shadow_root_ptr: shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( is_sha1522929624_b_j_k @ X3 )
            = ( is_sha1522929624_b_j_k
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X3 ) ) )
       => ( ! [X3: rObjec2068690451tion_j] :
              ( ( Getter
                @ ( the_RO2055010943tion_j
                  @ ( cast_D1046746849_b_j_k
                    @ ( Setter
                      @ ^ [Uu: list_n282880152tr_b_c] : V
                      @ ( cast_S988036065_b_j_k @ X3 ) ) ) ) )
              = ( Getter @ X3 ) )
         => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% get_M_shadow_root_put_M_document
thf(fact_316_get__M__shadow__root__put__M__document,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k,Shadow_root_ptr: shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_657600638_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( is_sha1522929624_b_j_k @ X3 )
            = ( is_sha1522929624_b_j_k
              @ ( Setter
                @ ^ [Uu: rObjec1617416918on_j_k] : V
                @ X3 ) ) )
       => ( ! [X3: rObjec2068690451tion_j] :
              ( ( Getter
                @ ( the_RO2055010943tion_j
                  @ ( cast_D1046746849_b_j_k
                    @ ( Setter
                      @ ^ [Uu: rObjec1617416918on_j_k] : V
                      @ ( cast_S988036065_b_j_k @ X3 ) ) ) ) )
              = ( Getter @ X3 ) )
         => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% get_M_shadow_root_put_M_document
thf(fact_317_get__M__shadow__root__put__M__document,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k,Shadow_root_ptr: shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( is_sha1522929624_b_j_k @ X3 )
            = ( is_sha1522929624_b_j_k
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X3 ) ) )
       => ( ! [X3: rObjec2068690451tion_j] :
              ( ( Getter
                @ ( the_RO2055010943tion_j
                  @ ( cast_D1046746849_b_j_k
                    @ ( Setter
                      @ ^ [Uu: list_char] : V
                      @ ( cast_S988036065_b_j_k @ X3 ) ) ) ) )
              = ( Getter @ X3 ) )
         => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% get_M_shadow_root_put_M_document
thf(fact_318_get__M__shadow__root__put__M__document,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr2: docume1935157360tr_d_e,Setter: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: option_element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > rObjec1617416918on_j_k,Shadow_root_ptr: shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr2 @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( is_sha1522929624_b_j_k @ X3 )
            = ( is_sha1522929624_b_j_k
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X3 ) ) )
       => ( ! [X3: rObjec2068690451tion_j] :
              ( ( Getter
                @ ( the_RO2055010943tion_j
                  @ ( cast_D1046746849_b_j_k
                    @ ( Setter
                      @ ^ [Uu: option_element_ptr_a] : V
                      @ ( cast_S988036065_b_j_k @ X3 ) ) ) ) )
              = ( Getter @ X3 ) )
         => ( heap_E1358110656on_j_k @ ( shadow2101372501_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ) ).

% get_M_shadow_root_put_M_document
thf(fact_319_new__document__disconnected__nodes,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_document_ptr: docume1935157360tr_d_e] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_986049031_h_i_l @ New_document_ptr @ discon866287741on_j_k ) @ nil_no279930520tr_b_c ) ) ) ).

% new_document_disconnected_nodes
thf(fact_320_get__M__document__put__M__shadow__root,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > rObjec1617416918on_j_k,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( is_sha1522929624_b_j_k @ X3 )
           => ( ( Getter
                @ ( cast_S988036065_b_j_k
                  @ ( Setter
                    @ ^ [Uu: rObjec1617416918on_j_k] : V
                    @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X3 ) ) ) ) )
              = ( Getter @ X3 ) ) )
       => ( heap_E1358110656on_j_k @ ( get_M_970800329_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_document_put_M_shadow_root
thf(fact_321_get__M__document__put__M__shadow__root,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: rObjec1617416918on_j_k,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > list_n282880152tr_b_c,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1445656130_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X3: rObjec1617416918on_j_k] :
            ( ( is_sha1522929624_b_j_k @ X3 )
           => ( ( Getter
                @ ( cast_S988036065_b_j_k
                  @ ( Setter
                    @ ^ [Uu: rObjec1617416918on_j_k] : V
                    @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X3 ) ) ) ) )
              = ( Getter @ X3 ) ) )
       => ( heap_E1516284546tr_b_c @ ( get_M_986049031_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_document_put_M_shadow_root
thf(fact_322_cast__document__disconnected__nodes__shadow__root__child__nodes,axiom,
    ! [X: rObjec1617416918on_j_k,Arg: list_n282880152tr_b_c] :
      ( ( is_sha1522929624_b_j_k @ X )
     => ( ( discon866287741on_j_k
          @ ( cast_S988036065_b_j_k
            @ ( child_1619758758tion_j
              @ ^ [Uu: list_n282880152tr_b_c] : Arg
              @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X ) ) ) ) )
        = ( discon866287741on_j_k @ X ) ) ) ).

% cast_document_disconnected_nodes_shadow_root_child_nodes
thf(fact_323_cast__document__disconnected__nodes__shadow__root__mode,axiom,
    ! [X: rObjec1617416918on_j_k,Arg: shadow_root_mode] :
      ( ( is_sha1522929624_b_j_k @ X )
     => ( ( discon866287741on_j_k
          @ ( cast_S988036065_b_j_k
            @ ( mode_u388060498tion_j
              @ ^ [Uu: shadow_root_mode] : Arg
              @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X ) ) ) ) )
        = ( discon866287741on_j_k @ X ) ) ) ).

% cast_document_disconnected_nodes_shadow_root_mode
thf(fact_324_new__element__child__nodes,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_element_ptr: element_ptr_a] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_88885319_j_k_l @ New_element_ptr @ child_768225874tion_g ) @ nil_no279930520tr_b_c ) ) ) ).

% new_element_child_nodes
thf(fact_325_cast__document__doctype__shadow__root__mode,axiom,
    ! [X: rObjec1617416918on_j_k,Arg: shadow_root_mode] :
      ( ( is_sha1522929624_b_j_k @ X )
     => ( ( doctyp814403297on_j_k
          @ ( cast_S988036065_b_j_k
            @ ( mode_u388060498tion_j
              @ ^ [Uu: shadow_root_mode] : Arg
              @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X ) ) ) ) )
        = ( doctyp814403297on_j_k @ X ) ) ) ).

% cast_document_doctype_shadow_root_mode
thf(fact_326_cast__document__doctype__shadow__root__child__nodes,axiom,
    ! [X: rObjec1617416918on_j_k,Arg: list_n282880152tr_b_c] :
      ( ( is_sha1522929624_b_j_k @ X )
     => ( ( doctyp814403297on_j_k
          @ ( cast_S988036065_b_j_k
            @ ( child_1619758758tion_j
              @ ^ [Uu: list_n282880152tr_b_c] : Arg
              @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X ) ) ) ) )
        = ( doctyp814403297on_j_k @ X ) ) ) ).

% cast_document_doctype_shadow_root_child_nodes
thf(fact_327_RDocument_Ofold__congs_I3_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: list_char,F: list_char > list_char,F2: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( doctyp814403297on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( doctyp68000440on_j_k @ F @ R2 )
            = ( doctyp68000440on_j_k @ F2 @ R3 ) ) ) ) ) ).

% RDocument.fold_congs(3)
thf(fact_328_RDocument_Ounfold__congs_I3_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: list_char,F: list_char > list_char,F2: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( doctyp814403297on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( doctyp68000440on_j_k @ F @ R2 )
            = ( doctyp68000440on_j_k @ F2 @ R3 ) ) ) ) ) ).

% RDocument.unfold_congs(3)
thf(fact_329_cast__document__document__element__shadow__root__child__nodes,axiom,
    ! [X: rObjec1617416918on_j_k,Arg: list_n282880152tr_b_c] :
      ( ( is_sha1522929624_b_j_k @ X )
     => ( ( docume1175131570on_j_k
          @ ( cast_S988036065_b_j_k
            @ ( child_1619758758tion_j
              @ ^ [Uu: list_n282880152tr_b_c] : Arg
              @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X ) ) ) ) )
        = ( docume1175131570on_j_k @ X ) ) ) ).

% cast_document_document_element_shadow_root_child_nodes
thf(fact_330_cast__document__document__element__shadow__root__mode,axiom,
    ! [X: rObjec1617416918on_j_k,Arg: shadow_root_mode] :
      ( ( is_sha1522929624_b_j_k @ X )
     => ( ( docume1175131570on_j_k
          @ ( cast_S988036065_b_j_k
            @ ( mode_u388060498tion_j
              @ ^ [Uu: shadow_root_mode] : Arg
              @ ( the_RO2055010943tion_j @ ( cast_D1046746849_b_j_k @ X ) ) ) ) )
        = ( docume1175131570on_j_k @ X ) ) ) ).

% cast_document_document_element_shadow_root_mode
thf(fact_331_RDocument_Ounfold__congs_I4_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: option_element_ptr_a,F: option_element_ptr_a > option_element_ptr_a,F2: option_element_ptr_a > option_element_ptr_a] :
      ( ( R2 = R3 )
     => ( ( ( docume1175131570on_j_k @ R3 )
          = V2 )
       => ( ! [V3: option_element_ptr_a] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( docume244715269on_j_k @ F @ R2 )
            = ( docume244715269on_j_k @ F2 @ R3 ) ) ) ) ) ).

% RDocument.unfold_congs(4)
thf(fact_332_RDocument_Ofold__congs_I4_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: option_element_ptr_a,F: option_element_ptr_a > option_element_ptr_a,F2: option_element_ptr_a > option_element_ptr_a] :
      ( ( R2 = R3 )
     => ( ( ( docume1175131570on_j_k @ R3 )
          = V2 )
       => ( ! [V3: option_element_ptr_a] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( docume244715269on_j_k @ F @ R2 )
            = ( docume244715269on_j_k @ F2 @ R3 ) ) ) ) ) ).

% RDocument.fold_congs(4)
thf(fact_333_cast__shadow__root__mode__document__doctype,axiom,
    ! [Y: list_char,X: rObjec2068690451tion_j] :
      ( ( mode_c_a_b_option_j
        @ ( the_RO2055010943tion_j
          @ ( cast_D1046746849_b_j_k
            @ ( doctyp68000440on_j_k
              @ ^ [Uu: list_char] : Y
              @ ( cast_S988036065_b_j_k @ X ) ) ) ) )
      = ( mode_c_a_b_option_j @ X ) ) ).

% cast_shadow_root_mode_document_doctype
thf(fact_334_cast__shadow__root__child__nodes__document__doctype,axiom,
    ! [Y: list_char,X: rObjec2068690451tion_j] :
      ( ( child_803420283tion_j
        @ ( the_RO2055010943tion_j
          @ ( cast_D1046746849_b_j_k
            @ ( doctyp68000440on_j_k
              @ ^ [Uu: list_char] : Y
              @ ( cast_S988036065_b_j_k @ X ) ) ) ) )
      = ( child_803420283tion_j @ X ) ) ).

% cast_shadow_root_child_nodes_document_doctype
thf(fact_335_cast__shadow__root__mode__document__disconnected__nodes,axiom,
    ! [Y: list_n282880152tr_b_c,X: rObjec2068690451tion_j] :
      ( ( mode_c_a_b_option_j
        @ ( the_RO2055010943tion_j
          @ ( cast_D1046746849_b_j_k
            @ ( discon442323090on_j_k
              @ ^ [Uu: list_n282880152tr_b_c] : Y
              @ ( cast_S988036065_b_j_k @ X ) ) ) ) )
      = ( mode_c_a_b_option_j @ X ) ) ).

% cast_shadow_root_mode_document_disconnected_nodes
thf(fact_336_cast__shadow__root__child__nodes__document__disconnected__nodes,axiom,
    ! [Y: list_n282880152tr_b_c,X: rObjec2068690451tion_j] :
      ( ( child_803420283tion_j
        @ ( the_RO2055010943tion_j
          @ ( cast_D1046746849_b_j_k
            @ ( discon442323090on_j_k
              @ ^ [Uu: list_n282880152tr_b_c] : Y
              @ ( cast_S988036065_b_j_k @ X ) ) ) ) )
      = ( child_803420283tion_j @ X ) ) ).

% cast_shadow_root_child_nodes_document_disconnected_nodes
thf(fact_337_cast__shadow__root__child__nodes__document__document__element,axiom,
    ! [Y: option_element_ptr_a,X: rObjec2068690451tion_j] :
      ( ( child_803420283tion_j
        @ ( the_RO2055010943tion_j
          @ ( cast_D1046746849_b_j_k
            @ ( docume244715269on_j_k
              @ ^ [Uu: option_element_ptr_a] : Y
              @ ( cast_S988036065_b_j_k @ X ) ) ) ) )
      = ( child_803420283tion_j @ X ) ) ).

% cast_shadow_root_child_nodes_document_document_element
thf(fact_338_cast__shadow__root__mode__document__document__element,axiom,
    ! [Y: option_element_ptr_a,X: rObjec2068690451tion_j] :
      ( ( mode_c_a_b_option_j
        @ ( the_RO2055010943tion_j
          @ ( cast_D1046746849_b_j_k
            @ ( docume244715269on_j_k
              @ ^ [Uu: option_element_ptr_a] : Y
              @ ( cast_S988036065_b_j_k @ X ) ) ) ) )
      = ( mode_c_a_b_option_j @ X ) ) ).

% cast_shadow_root_mode_document_document_element
thf(fact_339_RShadowRoot_Ofold__congs_I8_J,axiom,
    ! [R2: rObjec2068690451tion_j,R3: rObjec2068690451tion_j,V2: list_n282880152tr_b_c,F: list_n282880152tr_b_c > list_n282880152tr_b_c,F2: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( child_803420283tion_j @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( child_1619758758tion_j @ F @ R2 )
            = ( child_1619758758tion_j @ F2 @ R3 ) ) ) ) ) ).

% RShadowRoot.fold_congs(8)
thf(fact_340_RShadowRoot_Ofold__congs_I7_J,axiom,
    ! [R2: rObjec2068690451tion_j,R3: rObjec2068690451tion_j,V2: shadow_root_mode,F: shadow_root_mode > shadow_root_mode,F2: shadow_root_mode > shadow_root_mode] :
      ( ( R2 = R3 )
     => ( ( ( mode_c_a_b_option_j @ R3 )
          = V2 )
       => ( ! [V3: shadow_root_mode] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( mode_u388060498tion_j @ F @ R2 )
            = ( mode_u388060498tion_j @ F2 @ R3 ) ) ) ) ) ).

% RShadowRoot.fold_congs(7)
thf(fact_341_RShadowRoot_Ounfold__congs_I8_J,axiom,
    ! [R2: rObjec2068690451tion_j,R3: rObjec2068690451tion_j,V2: list_n282880152tr_b_c,F: list_n282880152tr_b_c > list_n282880152tr_b_c,F2: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( child_803420283tion_j @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( child_1619758758tion_j @ F @ R2 )
            = ( child_1619758758tion_j @ F2 @ R3 ) ) ) ) ) ).

% RShadowRoot.unfold_congs(8)
thf(fact_342_RShadowRoot_Ounfold__congs_I7_J,axiom,
    ! [R2: rObjec2068690451tion_j,R3: rObjec2068690451tion_j,V2: shadow_root_mode,F: shadow_root_mode > shadow_root_mode,F2: shadow_root_mode > shadow_root_mode] :
      ( ( R2 = R3 )
     => ( ( ( mode_c_a_b_option_j @ R3 )
          = V2 )
       => ( ! [V3: shadow_root_mode] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F2 @ V3 ) ) )
         => ( ( mode_u388060498tion_j @ F @ R2 )
            = ( mode_u388060498tion_j @ F2 @ R3 ) ) ) ) ) ).

% RShadowRoot.unfold_congs(7)
thf(fact_343_put_092_060_094sub_062S_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062d_092_060_094sub_062o_092_060_094sub_062w_092_060_094sub_062R_092_060_094sub_062o_092_060_094sub_062o_092_060_094sub_062t__def,axiom,
    ( put_S_1800307733_i_k_l
    = ( ^ [Shadow_root_ptr3: shadow_root_ptr_d,Shadow_root: rObjec2068690451tion_j] : ( put_D_2126422573_h_i_l @ ( cast_s253715760_r_d_e @ Shadow_root_ptr3 ) @ ( cast_S988036065_b_j_k @ Shadow_root ) ) ) ) ).

% put\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t_def
thf(fact_344_put_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e__def,axiom,
    ( put_N_1605479107_j_k_l
    = ( ^ [Node_ptr2: node_p1234578834tr_b_c,Node2: rObjec1922030987on_h_i] : ( put_O_834343516_j_k_l @ ( cast_n552817316_d_e_f @ Node_ptr2 ) @ ( cast_N1183075319_j_k_l @ Node2 ) ) ) ) ).

% put\<^sub>N\<^sub>o\<^sub>d\<^sub>e_def
thf(fact_345_get__shadow__root__put__document,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr2: docume1935157360tr_d_e,Document2: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr2 )
     => ( ( get_S_806277408_j_k_l @ Shadow_root_ptr @ ( put_D_2126422573_h_i_l @ Document_ptr2 @ Document2 @ H ) )
        = ( get_S_806277408_j_k_l @ Shadow_root_ptr @ H ) ) ) ).

% get_shadow_root_put_document
thf(fact_346_get__document__ptr__simp2,axiom,
    ! [Document_ptr2: docume1935157360tr_d_e,Document_ptr3: docume1935157360tr_d_e,Document2: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l] :
      ( ( Document_ptr2 != Document_ptr3 )
     => ( ( get_D_1192261494_j_k_l @ Document_ptr2 @ ( put_D_2126422573_h_i_l @ Document_ptr3 @ Document2 @ H ) )
        = ( get_D_1192261494_j_k_l @ Document_ptr2 @ H ) ) ) ).

% get_document_ptr_simp2
thf(fact_347_get__document__ptr__simp,axiom,
    ! [Ptr: object945351580_d_e_f,Document_ptr2: docume1935157360tr_d_e,Obj: rObjec1413572695_j_k_l,H: heap_S1465075775_j_k_l] :
      ( ( ( Ptr
          = ( cast_d1608273229_b_c_f @ Document_ptr2 ) )
       => ( ( get_D_1192261494_j_k_l @ Document_ptr2 @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) )
          = ( cast_O1034441233_j_k_l @ Obj ) ) )
      & ( ( Ptr
         != ( cast_d1608273229_b_c_f @ Document_ptr2 ) )
       => ( ( get_D_1192261494_j_k_l @ Document_ptr2 @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) )
          = ( get_D_1192261494_j_k_l @ Document_ptr2 @ H ) ) ) ) ).

% get_document_ptr_simp
thf(fact_348_put__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__def,axiom,
    ( put_M_139724992_h_i_l
    = ( l_put_893346794tr_b_c @ get_D_1192261494_j_k_l @ put_D_2126422573_h_i_l ) ) ).

% put_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_349_get__M_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__def,axiom,
    ( get_M_970800329_h_i_l
    = ( l_get_1351119336on_j_k @ get_D_1192261494_j_k_l ) ) ).

% get_M\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_350_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none,axiom,
    ! [Obj: rObjec1413572695_j_k_l] :
      ( ( ( cast_O1034441233_j_k_l @ Obj )
        = none_R1587534007on_j_k )
      = ( ~ ? [Document: rObjec1617416918on_j_k] :
              ( ( cast_D1252964113_h_i_l @ Document )
              = Obj ) ) ) ).

% cast\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t\<^sub>2\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_none
thf(fact_351_shadow__root__get__put__1,axiom,
    ! [Ptr: object945351580_d_e_f,Shadow_root_ptr: shadow_root_ptr_d,Obj: rObjec1413572695_j_k_l,H: heap_S1465075775_j_k_l] :
      ( ( ( Ptr
          = ( cast_d1608273229_b_c_f @ ( cast_s253715760_r_d_e @ Shadow_root_ptr ) ) )
       => ( ( get_S_806277408_j_k_l @ Shadow_root_ptr @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) )
          = ( case_o738567654on_j_k @ none_R125524722tion_j @ cast_D1046746849_b_j_k @ ( cast_O1034441233_j_k_l @ Obj ) ) ) )
      & ( ( Ptr
         != ( cast_d1608273229_b_c_f @ ( cast_s253715760_r_d_e @ Shadow_root_ptr ) ) )
       => ( ( get_S_806277408_j_k_l @ Shadow_root_ptr @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) )
          = ( get_S_806277408_j_k_l @ Shadow_root_ptr @ H ) ) ) ) ).

% shadow_root_get_put_1
thf(fact_352_get__object__ptr__simp2,axiom,
    ! [Object_ptr: object945351580_d_e_f,Object_ptr2: object945351580_d_e_f,Object: rObjec1413572695_j_k_l,H: heap_S1465075775_j_k_l] :
      ( ( Object_ptr != Object_ptr2 )
     => ( ( get_O_623850005_j_k_l @ Object_ptr @ ( put_O_834343516_j_k_l @ Object_ptr2 @ Object @ H ) )
        = ( get_O_623850005_j_k_l @ Object_ptr @ H ) ) ) ).

% get_object_ptr_simp2
thf(fact_353_ShadowRootMonad__Mirabelle__cxkpltyzhu_Otype__wf__put__I,axiom,
    ! [H: heap_S1465075775_j_k_l,Ptr: object945351580_d_e_f,Obj: rObjec1413572695_j_k_l] :
      ( ( type_w92696601_j_k_l @ H )
     => ( ( type_w1479951274_j_k_l @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) )
       => ( ( ( case_o516720829tr_d_e @ $false @ is_sha1302775417_r_d_e @ ( cast_o761049241_d_e_f @ Ptr ) )
           => ( ( case_o738567654on_j_k @ none_R125524722tion_j @ cast_D1046746849_b_j_k @ ( cast_O1034441233_j_k_l @ Obj ) )
             != none_R125524722tion_j ) )
         => ( type_w92696601_j_k_l @ ( put_O_834343516_j_k_l @ Ptr @ Obj @ H ) ) ) ) ) ).

% ShadowRootMonad_Mirabelle_cxkpltyzhu.type_wf_put_I
thf(fact_354_document__ptr__casts__commute3,axiom,
    ! [Ptr: object945351580_d_e_f] :
      ( ( is_doc45233057_d_e_f @ Ptr )
     => ( ( cast_d1608273229_b_c_f @ ( the_do1700004572tr_d_e @ ( cast_o761049241_d_e_f @ Ptr ) ) )
        = Ptr ) ) ).

% document_ptr_casts_commute3

% Conjectures (4)
thf(conj_0,hypothesis,
    heap_E604544536on_j_k @ h @ ( get_M_970800329_h_i_l @ document_ptr @ id_ROb1998049991on_j_k ) @ x ).

thf(conj_1,hypothesis,
    ( h2
    = ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ document_ptr )
      @ ( cast_D1252964113_h_i_l
        @ ( discon442323090on_j_k
          @ ^ [Uu: list_n282880152tr_b_c] : v
          @ x ) )
      @ h ) ) ).

thf(conj_2,hypothesis,
    type_w92696601_j_k_l @ h ).

thf(conj_3,conjecture,
    type_w1771507213_j_k_l @ h ).

%------------------------------------------------------------------------------