TPTP Problem File: ITP171^1.p

%------------------------------------------------------------------------------
% File     : ITP171^1 : TPTP v8.2.0. Released v7.5.0.
% Domain   : Interactive Theorem Proving
% Problem  : Sledgehammer ShadowRootMonad problem prob_198__5843440_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_198__5843440_1 [Des21]

% Status   : Theorem
% Rating   : 0.20 v8.2.0, 0.23 v8.1.0, 0.27 v7.5.0
% Syntax   : Number of formulae    :  570 (  75 unt; 226 typ;   0 def)
%            Number of atoms       :  990 ( 384 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 3719 (  81   ~;   1   |;   8   &;3131   @)
%                                         (   0 <=>; 498  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (  10 avg)
%            Number of types       :   40 (  39 usr)
%            Number of type conns  : 1278 (1278   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  190 ( 187 usr;  20 con; 0-5 aty)
%            Number of variables   : 1750 ( 136   ^;1609   !;   5   ?;1750   :)
% SPC      : TH0_THM_EQU_NAR

% Comments : This file was generated by Sledgehammer 2021-02-23 15:30:45.636
%------------------------------------------------------------------------------
% Could-be-implicit typings (39)
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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,
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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,
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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,
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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,
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thf(ty_n_t__Option__Ooption_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_J,type,
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thf(ty_n_t__Option__Ooption_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_J,type,
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thf(ty_n_t__Option__Ooption_It__ElementPointer__Oelement____ptr_Itf__a_J_J,type,
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thf(ty_n_t__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J,type,
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thf(ty_n_t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J,type,
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thf(ty_n_t__ElementPointer__Oelement____ptr_Itf__a_J,type,
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thf(ty_n_t__List__Olist_It__String__Ochar_J,type,
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thf(ty_n_t__Product____Type__Ounit,type,
    product_unit: $tType ).

thf(ty_n_tf__n,type,
    n: $tType ).

thf(ty_n_tf__m,type,
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% Explicit typings (187)
thf(sy_c_BaseMonad_Ol__put__M_Oa__put__M_001t__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_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__NodeClass__ORNode__ORNode____ext_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_J_J_001t__List__Olist_It__String__Ochar_J,type,
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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_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__String__Ochar_J,type,
    l_put_821218959t_char: ( 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_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > list_char > heap_E625070648t_unit ).

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__Option__Ooption_It__ElementPointer__Oelement____ptr_Itf__a_J_J,type,
    l_put_38398219_ptr_a: ( 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 > ( ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > option_element_ptr_a > heap_E625070648t_unit ).

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_001tf__m,type,
    l_put_1129034844_j_k_m: ( 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 > ( ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > m > heap_E625070648t_unit ).

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_001tf__n,type,
    l_put_1129034845_j_k_n: ( 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 > ( ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > n > heap_E625070648t_unit ).

thf(sy_c_BaseMonad_Ol__put__M_Oa__put__M_001t__ElementPointer__Oelement____ptr_Itf__a_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__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_001t__Finite____Map__Ofmap_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J,type,
    l_put_1666965382t_char: ( element_ptr_a > heap_S1465075775_j_k_l > option392980921tion_g ) > ( element_ptr_a > rObjec1875798643tion_g > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ) > element_ptr_a > ( ( finite1621822014t_char > finite1621822014t_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > finite1621822014t_char > heap_E625070648t_unit ).

thf(sy_c_BaseMonad_Ol__put__M_Oa__put__M_001t__ElementPointer__Oelement____ptr_Itf__a_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__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_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_2122145248tr_b_c: ( element_ptr_a > heap_S1465075775_j_k_l > option392980921tion_g ) > ( element_ptr_a > rObjec1875798643tion_g > heap_S1465075775_j_k_l > heap_S1465075775_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_BaseMonad_Ol__put__M_Oa__put__M_001t__ElementPointer__Oelement____ptr_Itf__a_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__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_001t__List__Olist_It__String__Ochar_J,type,
    l_put_1449921049t_char: ( element_ptr_a > heap_S1465075775_j_k_l > option392980921tion_g ) > ( element_ptr_a > rObjec1875798643tion_g > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ) > element_ptr_a > ( ( list_char > list_char ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > list_char > heap_E625070648t_unit ).

thf(sy_c_BaseMonad_Ol__put__M_Oa__put__M_001t__ElementPointer__Oelement____ptr_Itf__a_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__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_001t__Option__Ooption_It__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J_J,type,
    l_put_1103319052_ptr_d: ( element_ptr_a > heap_S1465075775_j_k_l > option392980921tion_g ) > ( element_ptr_a > rObjec1875798643tion_g > heap_S1465075775_j_k_l > heap_S1465075775_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_CharacterDataClass_ORCharacterData_Oval_001t__Option__Ooption_Itf__h_J,type,
    val_option_h: rObjec1148923485tion_h > list_char ).

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_Ocast_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_0622_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__c_001tf__a_001tf__b_001tf__d_001tf__g_001tf__h_001tf__i,type,
    cast_N1374991725_g_h_i: rObjec1922030987on_h_i > option849832995tion_h ).

thf(sy_c_CharacterDataClass_Oget_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__a_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,
    get_C_592656865_j_k_l: character_data_ptr_b > heap_S1465075775_j_k_l > option849832995tion_h ).

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_Oput_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_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_C_229546338_j_k_l: character_data_ptr_b > rObjec1148923485tion_h > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

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__ElementPointer__Oelement____ptr_Itf__a_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_1186169077_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > element_ptr_a ) > heap_E1661210526_ptr_a ).

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__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_001tf__m_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_1665432076_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > m ) > heap_E826424501tion_m ).

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_001tf__n_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_1932781581_j_k_l: character_data_ptr_b > ( rObjec1148923485tion_h > n ) > heap_E834686006tion_n ).

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__ElementPointer__Oelement____ptr_Itf__a_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_731120658_j_k_l: character_data_ptr_b > ( ( element_ptr_a > element_ptr_a ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > element_ptr_a > 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__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_001tf__m_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_199545403_j_k_l: character_data_ptr_b > ( ( m > m ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > m > 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_001tf__n_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_243508858_j_k_l: character_data_ptr_b > ( ( n > n ) > rObjec1148923485tion_h > rObjec1148923485tion_h ) > n > 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_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_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__a_001tf__b_001tf__c,type,
    cast_n1518532508_a_b_c: node_p1234578834tr_b_c > option2061924698_ptr_b ).

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_CharacterDataPointer_Ois__character__data__ptr__kind_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_001tf__b_001tf__c,type,
    is_cha330921893_a_b_c: node_p1234578834tr_b_c > $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__ElementPointer__Oelement____ptr_Itf__a_J_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_377480556_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > element_ptr_a ) > heap_E1661210526_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__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__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_001tf__m_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_1422421269_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > m ) > heap_E826424501tion_m ).

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_001tf__n_001tf__f_001tf__g_001tf__h_001tf__i_001tf__l,type,
    get_M_544184404_h_i_l: docume1935157360tr_d_e > ( rObjec1617416918on_j_k > n ) > heap_E834686006tion_n ).

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__ElementPointer__Oelement____ptr_Itf__a_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_1789706523_h_i_l: docume1935157360tr_d_e > ( ( element_ptr_a > element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > 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__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__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_001tf__m_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_674497586_h_i_l: docume1935157360tr_d_e > ( ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > m > 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_001tf__n_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_168144691_h_i_l: docume1935157360tr_d_e > ( ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > n > 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_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_001tf__c_001tf__a_001tf__b_001tf__d_001t__Option__Ooption_Itf__g_J,type,
    attrs_1151927177tion_g: rObjec1875798643tion_g > finite1621822014t_char ).

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_001tf__c_001tf__a_001tf__b_001tf__d_001t__Option__Ooption_Itf__g_J,type,
    shadow1820683706tion_g: rObjec1875798643tion_g > option147517124_ptr_d ).

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_001tf__c_001tf__a_001tf__b_001tf__d_001t__Option__Ooption_Itf__g_J,type,
    tag_na866435078tion_g: rObjec1875798643tion_g > list_char ).

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_Ocast_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_0622_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__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_N1424394706on_h_i: rObjec1922030987on_h_i > option392980921tion_g ).

thf(sy_c_ElementClass_Oget_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__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,
    get_E_312738192_j_k_l: element_ptr_a > heap_S1465075775_j_k_l > option392980921tion_g ).

thf(sy_c_ElementClass_Ol__type__wf__def_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_Oa__type__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,
    l_type85280056_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(sy_c_ElementClass_Oput_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_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_E_1775770377_j_k_l: element_ptr_a > rObjec1875798643tion_g > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

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__ElementPointer__Oelement____ptr_Itf__a_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_1338284716_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > element_ptr_a ) > heap_E1661210526_ptr_a ).

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__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_001tf__m_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_220285781_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > m ) > heap_E826424501tion_m ).

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_001tf__n_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_90096148_j_k_l: element_ptr_a > ( rObjec1875798643tion_g > n ) > heap_E834686006tion_n ).

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__ElementPointer__Oelement____ptr_Itf__a_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_1198351521_j_k_l: element_ptr_a > ( ( element_ptr_a > element_ptr_a ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > element_ptr_a > 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__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_001tf__m_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_1862598346_j_k_l: element_ptr_a > ( ( m > m ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > m > 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_001tf__n_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_2120900233_j_k_l: element_ptr_a > ( ( n > n ) > rObjec1875798643tion_g > rObjec1875798643tion_g ) > n > 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_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_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_001t__Sum____Type__Osum_It__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J_Mtf__c_J,type,
    cast_n269450313tr_b_c: node_p1234578834tr_b_c > option_element_ptr_a ).

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_ElementPointer_Ois__element__ptr__kind_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,
    is_ele1259807012tr_b_c: node_p1234578834tr_b_c > $o ).

thf(sy_c_Finite__Map_Ofmempty_001t__List__Olist_It__String__Ochar_J_001t__List__Olist_It__String__Ochar_J,type,
    finite2103212841t_char: finite1621822014t_char ).

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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,
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thf(sy_c_List_Olist_ONil_001t__String__Ochar,type,
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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,
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thf(sy_c_NodeClass_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_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e_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,
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thf(sy_c_NodeClass_Otype__wf_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_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,
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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_001tf__n_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,
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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,
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thf(sy_c_NodePointer_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_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_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,
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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,
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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_001tf__n,type,
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thf(sy_c_Option_Ooption_ONone_001t__ElementPointer__Oelement____ptr_Itf__a_J,type,
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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,
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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,
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thf(sy_c_Option_Ooption_ONone_001t__ObjectClass__ORObject__ORObject____ext_It__NodeClass__ORNode__ORNode____ext_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_J_J,type,
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thf(sy_c_Option_Ooption_ONone_001t__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,
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thf(sy_c_Option_Ooption_ONone_001t__ShadowRootPointer__Oshadow____root____ptr_Itf__d_J,type,
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thf(sy_c_Option_Ooption_OSome_001t__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J,type,
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thf(sy_c_Option_Ooption_OSome_001t__ElementPointer__Oelement____ptr_Itf__a_J,type,
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thf(sy_c_Option_Ooption_OSome_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,
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thf(sy_c_Option_Ooption_OSome_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,
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thf(sy_c_Option_Ooption_Ocase__option_001_Eo_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,
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thf(sy_c_Option_Ooption_Ocase__option_001_Eo_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,
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thf(sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__ObjectClass__ORObject__ORObject____ext_It__NodeClass__ORNode__ORNode____ext_It__CharacterDataClass__ORCharacterData__ORCharacterData____ext_It__Option__Ooption_Itf__h_J_J_J_J_J_001t__ObjectClass__ORObject__ORObject____ext_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_J,type,
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thf(sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__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_J_001t__ObjectClass__ORObject__ORObject____ext_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_J,type,
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thf(sy_c_Option_Ooption_Othe_001t__CharacterDataPointer__Ocharacter____data____ptr_Itf__b_J,type,
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thf(sy_c_Option_Ooption_Othe_001t__ElementPointer__Oelement____ptr_Itf__a_J,type,
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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,
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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,
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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,
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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,
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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__ElementPointer__Oelement____ptr_Itf__a_J_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow902827384_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > element_ptr_a ) > heap_E1661210526_ptr_a ).

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_001tf__m_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1194684833_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > m ) > heap_E826424501tion_m ).

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_001tf__n_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow569799008_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > n ) > heap_E834686006tion_n ).

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__ElementPointer__Oelement____ptr_Itf__a_J_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow2015416421_i_k_l: shadow_root_ptr_d > ( ( element_ptr_a > element_ptr_a ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > element_ptr_a > 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_001tf__m_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1030535182_i_k_l: shadow_root_ptr_d > ( ( m > m ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > m > 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_001tf__n_001tf__c_001tf__a_001tf__b_001tf__j_001tf__e_001tf__f_001tf__g_001tf__h_001tf__i_001tf__k_001tf__l,type,
    shadow1843699917_i_k_l: shadow_root_ptr_d > ( ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j ) > n > 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_v_document__ptr,type,
    document_ptr: docume1935157360tr_d_e ).

thf(sy_v_getter,type,
    getter: rObjec2068690451tion_j > n ).

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_setter,type,
    setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(sy_v_shadow__root__ptr,type,
    shadow_root_ptr: shadow_root_ptr_d ).

thf(sy_v_v,type,
    v: m ).

% Relevant facts (339)
thf(fact_0_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr: 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 > n] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_1_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr: 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 > n] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_2_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr: 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 > n] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_3_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > n] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_4_get__M__shadow__root__put__M__document__different__pointers,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > n] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_shadow_root_put_M_document_different_pointers
thf(fact_5_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_6_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_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__inject,axiom,
    ! [X: shadow_root_ptr_d,Y: shadow_root_ptr_d] :
      ( ( ( cast_s253715760_r_d_e @ X )
        = ( cast_s253715760_r_d_e @ Y ) )
      = ( X = Y ) ) ).

% cast\<^sub>s\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>_\<^sub>r\<^sub>o\<^sub>o\<^sub>t\<^sub>_\<^sub>p\<^sub>t\<^sub>r\<^sub>2\<^sub>d\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t\<^sub>_\<^sub>p\<^sub>t\<^sub>r_inject
thf(fact_7_shadow__root__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > n,Shadow_root_ptr2: shadow_root_ptr_d] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: n] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% shadow_root_put_get_preserved
thf(fact_8_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: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > n] :
      ( ( Shadow_root_ptr != Shadow_root_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved1
thf(fact_9_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved9
thf(fact_10_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_11_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_12_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_13_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved7
thf(fact_14_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > m,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: m] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_15_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_16_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > m,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_17_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_18_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > m,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_19_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_20_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > m,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_21_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > n,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: n] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_22_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > m,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: n] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_23_document__put__get__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > n,Document_ptr2: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: m] : V
                @ X2 ) )
            = ( Getter @ X2 ) )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% document_put_get_preserved
thf(fact_24_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_25_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_26_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_27_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_28_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > m] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_29_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,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: rObjec1617416918on_j_k > n] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_30_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,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: rObjec1617416918on_j_k > m] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_31_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,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: rObjec1617416918on_j_k > n] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_32_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,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: rObjec1617416918on_j_k > m] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_33_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,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: rObjec1617416918on_j_k > n] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_34_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,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: rObjec1617416918on_j_k > m] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_35_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > n] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_36_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > m] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_37_get__M__Mdocument__preserved1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Document_ptr2: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > n] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved1
thf(fact_38_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_39_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_40_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_41_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_42_get__M__Mdocument__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved8
thf(fact_43_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_44_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_45_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_46_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_47_get__M__Mdocument__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved2
thf(fact_48_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_49_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_50_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_51_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_52_get__M__Mdocument__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved6
thf(fact_53_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_54_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_55_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_56_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_57_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_58_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_59_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_60_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved7
thf(fact_61_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved9
thf(fact_62_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_ptr: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mdocument_preserved9
thf(fact_63_get__M__Mshadow__root__preserved6,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Getter: rObjec1875798643tion_g > n] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved6
thf(fact_64_get__M__Mshadow__root__preserved2,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Node_ptr: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > n] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved2
thf(fact_65_get__M__Mshadow__root__preserved8,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,Getter: rObjec1148923485tion_h > n] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% get_M_Mshadow_root_preserved8
thf(fact_66_get__M__Mshadow__root__preserved3,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > n] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved3
thf(fact_67_get__M__Mshadow__root__preserved3,axiom,
    ! [Shadow_root_ptr: shadow_root_ptr_d,Document_ptr: docume1935157360tr_d_e,H: heap_S1465075775_j_k_l,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > m] :
      ( ( ( cast_s253715760_r_d_e @ Shadow_root_ptr )
       != Document_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved3
thf(fact_68_get__M__Mshadow__root__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > n,Document_ptr: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( cast_S988036065_b_j_k
                @ ( Setter
                  @ ^ [Uu: n] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_S988036065_b_j_k @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved4
thf(fact_69_get__M__Mshadow__root__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > m,Document_ptr: docume1935157360tr_d_e] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( cast_S988036065_b_j_k
                @ ( Setter
                  @ ^ [Uu: n] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_S988036065_b_j_k @ X2 ) ) )
       => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved4
thf(fact_70_CharacterData__simp3,axiom,
    ! [Getter: rObjec1148923485tion_h > n,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] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_char] : V
              @ X2 ) )
          = ( Getter @ X2 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp3
thf(fact_71_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: option147517124_ptr_d] : V
              @ X2 ) )
          = ( Getter @ X2 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_72_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_n282880152tr_b_c] : V
              @ X2 ) )
          = ( Getter @ X2 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_73_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_char] : V
              @ X2 ) )
          = ( Getter @ X2 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_74_element__put__get__preserved,axiom,
    ! [Getter: rObjec1875798643tion_g > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: finite1621822014t_char] : V
              @ X2 ) )
          = ( Getter @ X2 ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% element_put_get_preserved
thf(fact_75_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp4
thf(fact_76_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_77_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_78_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_79_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 > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ H @ H2 ) ) ).

% CharacterData_simp5
thf(fact_80_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 > n] :
      ( ( Character_data_ptr != Character_data_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Character_data_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp2
thf(fact_81_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 > n] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_82_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 > n] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_83_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 > n] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_84_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 > n] :
      ( ( Element_ptr != Element_ptr2 )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Element_ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved1
thf(fact_85_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_86_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_87_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 > n,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1148923485tion_h] :
            ( ( Getter
              @ ( cast_C1209085999_d_g_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_C1209085999_d_g_i @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp9
thf(fact_88_CharacterData__simp7,axiom,
    ! [Getter: rObjec1922030987on_h_i > n,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] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( cast_C1209085999_d_g_i
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_C1209085999_d_g_i @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp7
thf(fact_89_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 > n,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: option147517124_ptr_d] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_90_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 > n,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_n282880152tr_b_c] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_91_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 > n,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_92_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 > n,Node_ptr: node_p1234578834tr_b_c] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: finite1621822014t_char] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved6
thf(fact_93_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: option147517124_ptr_d] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_94_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_95_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_96_get__M__Element__preserved4,axiom,
    ! [Getter: rObjec1922030987on_h_i > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_E1779426770on_h_i
              @ ( Setter
                @ ^ [Uu: finite1621822014t_char] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_E1779426770on_h_i @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved4
thf(fact_97_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 > n] :
      ( ( ( 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_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp8
thf(fact_98_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 > n] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_99_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 > n] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_100_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 > n] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_101_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 > n] :
      ( ( ( cast_e316309897tr_b_c @ Element_ptr )
       != Node_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Node_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved5
thf(fact_102_is__shadow__root__kind__doctype,axiom,
    ! [V: list_char] :
      ( is_sha1522929624_b_j_k
      = ( ^ [X3: rObjec1617416918on_j_k] :
            ( is_sha1522929624_b_j_k
            @ ( doctyp68000440on_j_k
              @ ^ [Uu: list_char] : V
              @ X3 ) ) ) ) ).

% is_shadow_root_kind_doctype
thf(fact_103_is__shadow__root__kind__document__element,axiom,
    ! [V: option_element_ptr_a] :
      ( is_sha1522929624_b_j_k
      = ( ^ [X3: rObjec1617416918on_j_k] :
            ( is_sha1522929624_b_j_k
            @ ( docume244715269on_j_k
              @ ^ [Uu: option_element_ptr_a] : V
              @ X3 ) ) ) ) ).

% is_shadow_root_kind_document_element
thf(fact_104_is__shadow__root__kind__disconnected__nodes,axiom,
    ! [V: list_n282880152tr_b_c] :
      ( is_sha1522929624_b_j_k
      = ( ^ [X3: rObjec1617416918on_j_k] :
            ( is_sha1522929624_b_j_k
            @ ( discon442323090on_j_k
              @ ^ [Uu: list_n282880152tr_b_c] : V
              @ X3 ) ) ) ) ).

% is_shadow_root_kind_disconnected_nodes
thf(fact_105_cast_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__inject,axiom,
    ! [X: element_ptr_a,Y: element_ptr_a] :
      ( ( ( cast_e316309897tr_b_c @ X )
        = ( cast_e316309897tr_b_c @ Y ) )
      = ( X = Y ) ) ).

% cast\<^sub>e\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t\<^sub>_\<^sub>p\<^sub>t\<^sub>r\<^sub>2\<^sub>n\<^sub>o\<^sub>d\<^sub>e\<^sub>_\<^sub>p\<^sub>t\<^sub>r_inject
thf(fact_106_cast_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__inject,axiom,
    ! [X: character_data_ptr_b,Y: character_data_ptr_b] :
      ( ( ( cast_c164415100_b_a_c @ X )
        = ( cast_c164415100_b_a_c @ Y ) )
      = ( X = Y ) ) ).

% cast\<^sub>c\<^sub>h\<^sub>a\<^sub>r\<^sub>a\<^sub>c\<^sub>t\<^sub>e\<^sub>r\<^sub>_\<^sub>d\<^sub>a\<^sub>t\<^sub>a\<^sub>_\<^sub>p\<^sub>t\<^sub>r\<^sub>2\<^sub>n\<^sub>o\<^sub>d\<^sub>e\<^sub>_\<^sub>p\<^sub>t\<^sub>r_inject
thf(fact_107_cast__element__ptr__not__character__data__ptr_I2_J,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Element_ptr: element_ptr_a] :
      ( ( cast_c164415100_b_a_c @ Character_data_ptr )
     != ( cast_e316309897tr_b_c @ Element_ptr ) ) ).

% cast_element_ptr_not_character_data_ptr(2)
thf(fact_108_cast__element__ptr__not__character__data__ptr_I1_J,axiom,
    ! [Element_ptr: element_ptr_a,Character_data_ptr: character_data_ptr_b] :
      ( ( cast_e316309897tr_b_c @ Element_ptr )
     != ( cast_c164415100_b_a_c @ Character_data_ptr ) ) ).

% cast_element_ptr_not_character_data_ptr(1)
thf(fact_109_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 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: docume1935157360tr_d_e] : V
                @ X2 ) )
            = V )
       => ( heap_E2101731758tr_d_e @ H2 @ ( shadow1068876397_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_110_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( element_ptr_a > element_ptr_a ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > element_ptr_a] :
      ( ( heap_E494191872t_unit @ H @ ( shadow2015416421_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: element_ptr_a] : V
                @ X2 ) )
            = V )
       => ( heap_E1224694197_ptr_a @ H2 @ ( shadow902827384_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_111_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 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: product_unit] : V
                @ X2 ) )
            = V )
       => ( heap_E667013711t_unit @ H2 @ ( shadow2050000606_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_112_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( m > m ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > m] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1030535182_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: m] : V
                @ X2 ) )
            = V )
       => ( heap_E1038710092tion_m @ H2 @ ( shadow1194684833_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_113_shadow__root__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec2068690451tion_j > n] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: n] : V
                @ X2 ) )
            = V )
       => ( heap_E1038710093tion_n @ H2 @ ( shadow569799008_i_k_l @ Shadow_root_ptr @ Getter ) @ V ) ) ) ).

% shadow_root_put_get
thf(fact_114_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__doctype__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,V: list_char,H2: heap_S1465075775_j_k_l] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ doctyp68000440on_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_doctype_type_wf_preserved
thf(fact_115_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_ptr: 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_ptr @ 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_116_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__document__element__type__wf__preserved,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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_ptr @ docume244715269on_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_document_element_type_wf_preserved
thf(fact_117_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_118_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E1661210526_ptr_a,Y: element_ptr_a,Y2: element_ptr_a] :
      ( ( heap_E1224694197_ptr_a @ H @ F @ Y )
     => ( ( heap_E1224694197_ptr_a @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_119_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_120_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E834686006tion_n,Y: n,Y2: n] :
      ( ( heap_E1038710093tion_n @ H @ F @ Y )
     => ( ( heap_E1038710093tion_n @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_121_returns__result__eq,axiom,
    ! [H: heap_S1465075775_j_k_l,F: heap_E826424501tion_m,Y: m,Y2: m] :
      ( ( heap_E1038710092tion_m @ H @ F @ Y )
     => ( ( heap_E1038710092tion_m @ H @ F @ Y2 )
       => ( Y = Y2 ) ) ) ).

% returns_result_eq
thf(fact_122_preserved__def,axiom,
    ( heap_E808638982tr_d_e
    = ( ^ [F2: heap_E1188946203tr_d_e,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X3: docume1935157360tr_d_e] :
          ( ( heap_E2101731758tr_d_e @ H4 @ F2 @ X3 )
          = ( heap_E2101731758tr_d_e @ H5 @ F2 @ X3 ) ) ) ) ).

% preserved_def
thf(fact_123_preserved__def,axiom,
    ( heap_E73132893_ptr_a
    = ( ^ [F2: heap_E1661210526_ptr_a,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X3: element_ptr_a] :
          ( ( heap_E1224694197_ptr_a @ H4 @ F2 @ X3 )
          = ( heap_E1224694197_ptr_a @ H5 @ F2 @ X3 ) ) ) ) ).

% preserved_def
thf(fact_124_preserved__def,axiom,
    ( heap_E1521571831t_unit
    = ( ^ [F2: heap_E625070648t_unit,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X3: product_unit] :
          ( ( heap_E667013711t_unit @ H4 @ F2 @ X3 )
          = ( heap_E667013711t_unit @ H5 @ F2 @ X3 ) ) ) ) ).

% preserved_def
thf(fact_125_preserved__def,axiom,
    ( heap_E1683112692tion_m
    = ( ^ [F2: heap_E826424501tion_m,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X3: m] :
          ( ( heap_E1038710092tion_m @ H4 @ F2 @ X3 )
          = ( heap_E1038710092tion_m @ H5 @ F2 @ X3 ) ) ) ) ).

% preserved_def
thf(fact_126_preserved__def,axiom,
    ( heap_E1683112693tion_n
    = ( ^ [F2: heap_E834686006tion_n,H4: heap_S1465075775_j_k_l,H5: heap_S1465075775_j_k_l] :
        ! [X3: n] :
          ( ( heap_E1038710093tion_n @ H4 @ F2 @ X3 )
          = ( heap_E1038710093tion_n @ H5 @ F2 @ X3 ) ) ) ) ).

% preserved_def
thf(fact_127_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 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: docume1935157360tr_d_e] : V
                @ X2 ) )
            = V )
       => ( heap_E2101731758tr_d_e @ H2 @ ( get_M_650077447_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_128_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( element_ptr_a > element_ptr_a ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > element_ptr_a] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1198351521_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: element_ptr_a] : V
                @ X2 ) )
            = V )
       => ( heap_E1224694197_ptr_a @ H2 @ ( get_M_1338284716_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_129_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 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: product_unit] : V
                @ X2 ) )
            = V )
       => ( heap_E667013711t_unit @ H2 @ ( get_M_1238860946_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_130_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( m > m ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > m] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1862598346_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: m] : V
                @ X2 ) )
            = V )
       => ( heap_E1038710092tion_m @ H2 @ ( get_M_220285781_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_131_element__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Element_ptr: element_ptr_a,Setter: ( n > n ) > rObjec1875798643tion_g > rObjec1875798643tion_g,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1875798643tion_g > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_2120900233_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: n] : V
                @ X2 ) )
            = V )
       => ( heap_E1038710093tion_n @ H2 @ ( get_M_90096148_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_132_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 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option147517124_ptr_d] : V
                @ X2 ) )
            = V )
       => ( heap_E1947147782_ptr_d @ H2 @ ( get_M_1154267419_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_133_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 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X2 ) )
            = V )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_88885319_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_134_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 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X2 ) )
            = V )
       => ( heap_E804379039t_char @ H2 @ ( get_M_51280086_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_135_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 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: finite1621822014t_char] : V
                @ X2 ) )
            = V )
       => ( heap_E946351744t_char @ H2 @ ( get_M_685446945_j_k_l @ Element_ptr @ Getter ) @ V ) ) ) ).

% element_put_get
thf(fact_136_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] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: docume1935157360tr_d_e] : V
              @ X2 ) )
          = 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_137_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > element_ptr_a,Setter: ( element_ptr_a > element_ptr_a ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: element_ptr_a,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: element_ptr_a] : V
              @ X2 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_731120658_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1224694197_ptr_a @ H2 @ ( get_M_1186169077_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_138_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] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: product_unit] : V
              @ X2 ) )
          = 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_139_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > m,Setter: ( m > m ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: m,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: m] : V
              @ X2 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_199545403_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1038710092tion_m @ H2 @ ( get_M_1665432076_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_140_CharacterData__simp1,axiom,
    ! [Getter: rObjec1148923485tion_h > n,Setter: ( n > n ) > rObjec1148923485tion_h > rObjec1148923485tion_h,V: n,H: heap_S1465075775_j_k_l,Character_data_ptr: character_data_ptr_b,H2: heap_S1465075775_j_k_l] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: n] : V
              @ X2 ) )
          = V )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_243508858_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1038710093tion_n @ H2 @ ( get_M_1932781581_j_k_l @ Character_data_ptr @ Getter ) @ V ) ) ) ).

% CharacterData_simp1
thf(fact_141_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] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( Setter
              @ ^ [Uu: list_char] : V
              @ X2 ) )
          = 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_142_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: docume1935157360tr_d_e] : V
                @ X2 ) )
            = V )
       => ( heap_E2101731758tr_d_e @ H2 @ ( get_M_462148605_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_143_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( element_ptr_a > element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: element_ptr_a,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > element_ptr_a] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1789706523_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: element_ptr_a] : V
                @ X2 ) )
            = V )
       => ( heap_E1224694197_ptr_a @ H2 @ ( get_M_377480556_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_144_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: product_unit] : V
                @ X2 ) )
            = V )
       => ( heap_E667013711t_unit @ H2 @ ( get_M_1965837010_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_145_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X2 ) )
            = V )
       => ( heap_E804379039t_char @ H2 @ ( get_M_1536717772_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_146_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X2 ) )
            = V )
       => ( heap_E258692314tr_b_c @ H2 @ ( get_M_986049031_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_147_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X2 ) )
            = V )
       => ( heap_E1091541499_ptr_a @ H2 @ ( get_M_1723352102_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_148_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: n] : V
                @ X2 ) )
            = V )
       => ( heap_E1038710093tion_n @ H2 @ ( get_M_544184404_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_149_document__put__get,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( Setter
                @ ^ [Uu: m] : V
                @ X2 ) )
            = V )
       => ( heap_E1038710092tion_m @ H2 @ ( get_M_1422421269_h_i_l @ Document_ptr @ Getter ) @ V ) ) ) ).

% document_put_get
thf(fact_150_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_151_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_152_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_153_returns__result__heap__def,axiom,
    ( heap_E1940720705tion_n
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E834686006tion_n,R: n,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E1038710093tion_n @ H4 @ P @ R )
          & ( heap_E1553005822tion_n @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_154_returns__result__heap__def,axiom,
    ( heap_E1940720704tion_m
    = ( ^ [H4: heap_S1465075775_j_k_l,P: heap_E826424501tion_m,R: m,H5: heap_S1465075775_j_k_l] :
          ( ( heap_E1038710092tion_m @ H4 @ P @ R )
          & ( heap_E1553005821tion_m @ H4 @ P @ H5 ) ) ) ) ).

% returns_result_heap_def
thf(fact_155_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_156_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_157_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_158_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_159_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_160_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_161_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_162_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_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__none,axiom,
    ! [Document: rObjec1617416918on_j_k] :
      ( ( ( cast_D1046746849_b_j_k @ Document )
        = none_R125524722tion_j )
      = ( ~ ? [Shadow_root: rObjec2068690451tion_j] :
              ( ( cast_S988036065_b_j_k @ Shadow_root )
              = Document ) ) ) ).

% cast\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t\<^sub>2\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t_none
thf(fact_163_is__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__def,axiom,
    ( is_sha1522929624_b_j_k
    = ( ^ [Ptr: rObjec1617416918on_j_k] :
          ( ( cast_D1046746849_b_j_k @ Ptr )
         != none_R125524722tion_j ) ) ) ).

% is_shadow_root_kind\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_164_option_Oexpand,axiom,
    ! [Option: option1029218147tion_j,Option2: option1029218147tion_j] :
      ( ( ( Option = none_R125524722tion_j )
        = ( Option2 = none_R125524722tion_j ) )
     => ( ( ( Option != none_R125524722tion_j )
         => ( ( Option2 != none_R125524722tion_j )
           => ( ( the_RO2055010943tion_j @ Option )
              = ( the_RO2055010943tion_j @ Option2 ) ) ) )
       => ( Option = Option2 ) ) ) ).

% option.expand
thf(fact_165_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_166_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_167_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_168_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_169_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_170_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_171_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_172_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_173_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_174_ElementClass_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_w697503069_j_k_l @ H )
     => ( type_w697503069_j_k_l @ H ) ) ).

% ElementClass.type_wf\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_175_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_176_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_177_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_178_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_179_ElementClass_Otype__wf__def,axiom,
    type_w697503069_j_k_l = l_type85280056_j_k_l ).

% ElementClass.type_wf_def
thf(fact_180_CharacterDataClass_Otype__wf__def,axiom,
    type_w1771507213_j_k_l = l_type1003141153_j_k_l ).

% CharacterDataClass.type_wf_def
thf(fact_181_DocumentClass_Otype__wf__def,axiom,
    type_w1479951274_j_k_l = l_type1130145226_j_k_l ).

% DocumentClass.type_wf_def
thf(fact_182_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,Ptr2: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > n] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
       => ( ( Ptr2
           != ( cast_c164415100_b_a_c @ New_ch844909330ta_ptr ) )
         => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ) ).

% new_character_data_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_183_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,Ptr2: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > n] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
       => ( ( Ptr2
           != ( cast_e316309897tr_b_c @ New_element_ptr ) )
         => ( heap_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ) ).

% new_element_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_184_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_185_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_186_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_187_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_188_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_189_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,Ptr2: element_ptr_a,Getter: rObjec1875798643tion_g > n] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
       => ( ( Ptr2 != New_element_ptr )
         => ( heap_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ) ).

% new_element_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_190_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,Ptr2: character_data_ptr_b,Getter: rObjec1148923485tion_h > n] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Ptr2 @ 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_191_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,Ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Ptr2 @ 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_192_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,Ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Ptr2 @ 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_193_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,Ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Ptr2 @ 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_194_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,Ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Ptr2 @ 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_195_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,Ptr2: character_data_ptr_b,Getter: rObjec1148923485tion_h > n] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
       => ( ( Ptr2 != New_ch844909330ta_ptr )
         => ( heap_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Ptr2 @ 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_196_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,Ptr2: element_ptr_a,Getter: rObjec1875798643tion_g > n] :
      ( ( 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_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% new_character_data_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_197_new__element__shadow__root__opt,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_E1947147782_ptr_d @ H2 @ ( get_M_1154267419_j_k_l @ New_element_ptr @ shadow1820683706tion_g ) @ none_s1706699231_ptr_d ) ) ) ).

% new_element_shadow_root_opt
thf(fact_198_l__new__character__data__def,axiom,
    ( l_new_410495338_j_k_l
    = ( ^ [Type_wf: 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_wf @ H4 )
            = ( Type_wf @ H5 ) ) ) ) ) ).

% l_new_character_data_def
thf(fact_199_l__new__character__data_Ointro,axiom,
    ! [Type_wf2: 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_wf2 @ H6 )
            = ( Type_wf2 @ H7 ) ) )
     => ( l_new_410495338_j_k_l @ Type_wf2 ) ) ).

% l_new_character_data.intro
thf(fact_200_l__new__character__data_Onew__character__data__types__preserved,axiom,
    ! [Type_wf2: 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_wf2 )
     => ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
       => ( ( Type_wf2 @ H )
          = ( Type_wf2 @ H2 ) ) ) ) ).

% l_new_character_data.new_character_data_types_preserved
thf(fact_201_l__new__element__def,axiom,
    ( l_new_540233301_j_k_l
    = ( ^ [Type_wf: 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_wf @ H4 )
            = ( Type_wf @ H5 ) ) ) ) ) ).

% l_new_element_def
thf(fact_202_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_203_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_204_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_205_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_206_ElementMonad_Onew__element__is__l__new__element,axiom,
    l_new_540233301_j_k_l @ type_w697503069_j_k_l ).

% ElementMonad.new_element_is_l_new_element
thf(fact_207_RElement_Ofold__congs_I7_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: option147517124_ptr_d,F: option147517124_ptr_d > option147517124_ptr_d,F3: option147517124_ptr_d > option147517124_ptr_d] :
      ( ( R2 = R3 )
     => ( ( ( shadow1820683706tion_g @ R3 )
          = V2 )
       => ( ! [V3: option147517124_ptr_d] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( shadow1606659473tion_g @ F @ R2 )
            = ( shadow1606659473tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.fold_congs(7)
thf(fact_208_RElement_Ounfold__congs_I7_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: option147517124_ptr_d,F: option147517124_ptr_d > option147517124_ptr_d,F3: option147517124_ptr_d > option147517124_ptr_d] :
      ( ( R2 = R3 )
     => ( ( ( shadow1820683706tion_g @ R3 )
          = V2 )
       => ( ! [V3: option147517124_ptr_d] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( shadow1606659473tion_g @ F @ R2 )
            = ( shadow1606659473tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.unfold_congs(7)
thf(fact_209_l__new__element_Onew__element__types__preserved,axiom,
    ! [Type_wf2: 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_wf2 )
     => ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
       => ( ( Type_wf2 @ H )
          = ( Type_wf2 @ H2 ) ) ) ) ).

% l_new_element.new_element_types_preserved
thf(fact_210_l__new__element_Ointro,axiom,
    ! [Type_wf2: 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_wf2 @ H6 )
            = ( Type_wf2 @ H7 ) ) )
     => ( l_new_540233301_j_k_l @ Type_wf2 ) ) ).

% l_new_element.intro
thf(fact_211_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_212_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_213_RDocument_Ounfold__congs_I3_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: list_char,F: list_char > list_char,F3: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( doctyp814403297on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( doctyp68000440on_j_k @ F @ R2 )
            = ( doctyp68000440on_j_k @ F3 @ R3 ) ) ) ) ) ).

% RDocument.unfold_congs(3)
thf(fact_214_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,F3: option_element_ptr_a > option_element_ptr_a] :
      ( ( R2 = R3 )
     => ( ( ( docume1175131570on_j_k @ R3 )
          = V2 )
       => ( ! [V3: option_element_ptr_a] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( docume244715269on_j_k @ F @ R2 )
            = ( docume244715269on_j_k @ F3 @ R3 ) ) ) ) ) ).

% RDocument.unfold_congs(4)
thf(fact_215_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,F3: option_element_ptr_a > option_element_ptr_a] :
      ( ( R2 = R3 )
     => ( ( ( docume1175131570on_j_k @ R3 )
          = V2 )
       => ( ! [V3: option_element_ptr_a] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( docume244715269on_j_k @ F @ R2 )
            = ( docume244715269on_j_k @ F3 @ R3 ) ) ) ) ) ).

% RDocument.fold_congs(4)
thf(fact_216_RDocument_Ofold__congs_I3_J,axiom,
    ! [R2: rObjec1617416918on_j_k,R3: rObjec1617416918on_j_k,V2: list_char,F: list_char > list_char,F3: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( doctyp814403297on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( doctyp68000440on_j_k @ F @ R2 )
            = ( doctyp68000440on_j_k @ F3 @ R3 ) ) ) ) ) ).

% RDocument.fold_congs(3)
thf(fact_217_RCharacterData_Ounfold__congs_I4_J,axiom,
    ! [R2: rObjec1148923485tion_h,R3: rObjec1148923485tion_h,V2: list_char,F: list_char > list_char,F3: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( val_option_h @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( val_update_option_h @ F @ R2 )
            = ( val_update_option_h @ F3 @ R3 ) ) ) ) ) ).

% RCharacterData.unfold_congs(4)
thf(fact_218_RCharacterData_Ofold__congs_I4_J,axiom,
    ! [R2: rObjec1148923485tion_h,R3: rObjec1148923485tion_h,V2: list_char,F: list_char > list_char,F3: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( val_option_h @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( val_update_option_h @ F @ R2 )
            = ( val_update_option_h @ F3 @ R3 ) ) ) ) ) ).

% RCharacterData.fold_congs(4)
thf(fact_219_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,F3: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( discon866287741on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( discon442323090on_j_k @ F @ R2 )
            = ( discon442323090on_j_k @ F3 @ R3 ) ) ) ) ) ).

% RDocument.fold_congs(5)
thf(fact_220_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,F3: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( discon866287741on_j_k @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( discon442323090on_j_k @ F @ R2 )
            = ( discon442323090on_j_k @ F3 @ R3 ) ) ) ) ) ).

% RDocument.unfold_congs(5)
thf(fact_221_new__character__data__child__nodes,axiom,
    ! [H: heap_S1465075775_j_k_l,H2: heap_S1465075775_j_k_l,New_ch844909330ta_ptr: character_data_ptr_b] :
      ( ( 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_E804379039t_char @ H2 @ ( get_M_2088872005_j_k_l @ New_ch844909330ta_ptr @ val_option_h ) @ nil_char ) ) ) ).

% new_character_data_child_nodes
thf(fact_222_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,Ptr2: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > n] :
      ( ( heap_E24690662_ptr_a @ H @ new_el717272935_j_k_l @ H2 )
     => ( ( heap_E1224694197_ptr_a @ H @ new_el717272935_j_k_l @ New_element_ptr )
       => ( ( Ptr2
           != ( cast_n552817316_d_e_f @ ( cast_e316309897tr_b_c @ New_element_ptr ) ) )
         => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ) ).

% new_element_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_223_RElement_Ofold__congs_I6_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: finite1621822014t_char,F: finite1621822014t_char > finite1621822014t_char,F3: finite1621822014t_char > finite1621822014t_char] :
      ( ( R2 = R3 )
     => ( ( ( attrs_1151927177tion_g @ R3 )
          = V2 )
       => ( ! [V3: finite1621822014t_char] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( attrs_1280717024tion_g @ F @ R2 )
            = ( attrs_1280717024tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.fold_congs(6)
thf(fact_224_RElement_Ofold__congs_I5_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: list_n282880152tr_b_c,F: list_n282880152tr_b_c > list_n282880152tr_b_c,F3: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( child_768225874tion_g @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( child_1596411111tion_g @ F @ R2 )
            = ( child_1596411111tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.fold_congs(5)
thf(fact_225_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 > n] :
      ( ( ( 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_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp11
thf(fact_226_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 > n] :
      ( ( ( 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_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_227_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 > n] :
      ( ( ( 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_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_228_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 > n] :
      ( ( ( 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_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_229_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 > n] :
      ( ( ( 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_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved8
thf(fact_230_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,Ptr2: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > n] :
      ( ( heap_E1982034951_ptr_b @ H @ new_ch829669006_j_k_l @ H2 )
     => ( ( heap_E1554207190_ptr_b @ H @ new_ch829669006_j_k_l @ New_ch844909330ta_ptr )
       => ( ( Ptr2
           != ( cast_n552817316_d_e_f @ ( cast_c164415100_b_a_c @ New_ch844909330ta_ptr ) ) )
         => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ) ).

% new_character_data_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_231_RElement_Ounfold__congs_I5_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: list_n282880152tr_b_c,F: list_n282880152tr_b_c > list_n282880152tr_b_c,F3: list_n282880152tr_b_c > list_n282880152tr_b_c] :
      ( ( R2 = R3 )
     => ( ( ( child_768225874tion_g @ R3 )
          = V2 )
       => ( ! [V3: list_n282880152tr_b_c] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( child_1596411111tion_g @ F @ R2 )
            = ( child_1596411111tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.unfold_congs(5)
thf(fact_232_RElement_Ounfold__congs_I6_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: finite1621822014t_char,F: finite1621822014t_char > finite1621822014t_char,F3: finite1621822014t_char > finite1621822014t_char] :
      ( ( R2 = R3 )
     => ( ( ( attrs_1151927177tion_g @ R3 )
          = V2 )
       => ( ! [V3: finite1621822014t_char] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( attrs_1280717024tion_g @ F @ R2 )
            = ( attrs_1280717024tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.unfold_congs(6)
thf(fact_233_new__element__tag__name,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_E804379039t_char @ H2 @ ( get_M_51280086_j_k_l @ New_element_ptr @ tag_na866435078tion_g ) @ nil_char ) ) ) ).

% new_element_tag_name
thf(fact_234_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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: option147517124_ptr_d] : V
                    @ X2 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_235_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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: list_n282880152tr_b_c] : V
                    @ X2 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_236_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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: list_char] : V
                    @ X2 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_237_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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1875798643tion_g] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_E1779426770on_h_i
                  @ ( Setter
                    @ ^ [Uu: finite1621822014t_char] : V
                    @ X2 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved9
thf(fact_238_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: option147517124_ptr_d] : V
                  @ X2 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_682984464_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_239_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_n282880152tr_b_c] : V
                  @ X2 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1098917052_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_240_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X2 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1720094109_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_241_get__M__Element__preserved3,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,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] :
      ( ! [X2: rObjec1875798643tion_g] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_E1779426770on_h_i
                @ ( Setter
                  @ ^ [Uu: finite1621822014t_char] : V
                  @ X2 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_E1779426770on_h_i @ X2 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1724091798_j_k_l @ Element_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Element_preserved3
thf(fact_242_RElement_Ofold__congs_I4_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: list_char,F: list_char > list_char,F3: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( tag_na866435078tion_g @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V2 = V3 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( tag_na7058269tion_g @ F @ R2 )
            = ( tag_na7058269tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.fold_congs(4)
thf(fact_243_RElement_Ounfold__congs_I4_J,axiom,
    ! [R2: rObjec1875798643tion_g,R3: rObjec1875798643tion_g,V2: list_char,F: list_char > list_char,F3: list_char > list_char] :
      ( ( R2 = R3 )
     => ( ( ( tag_na866435078tion_g @ R3 )
          = V2 )
       => ( ! [V3: list_char] :
              ( ( V3 = V2 )
             => ( ( F @ V3 )
                = ( F3 @ V3 ) ) )
         => ( ( tag_na7058269tion_g @ F @ R2 )
            = ( tag_na7058269tion_g @ F3 @ R3 ) ) ) ) ) ).

% RElement.unfold_congs(4)
thf(fact_244_CharacterData__simp6,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,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] :
      ( ! [X2: rObjec1148923485tion_h] :
          ( ( Getter
            @ ( cast_N1183075319_j_k_l
              @ ( cast_C1209085999_d_g_i
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X2 ) ) ) )
          = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_C1209085999_d_g_i @ X2 ) ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp6
thf(fact_245_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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1937380872_j_k_l @ Character_data_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1148923485tion_h] :
            ( ( Getter
              @ ( cast_N1183075319_j_k_l
                @ ( cast_C1209085999_d_g_i
                  @ ( Setter
                    @ ^ [Uu: list_char] : V
                    @ X2 ) ) ) )
            = ( Getter @ ( cast_N1183075319_j_k_l @ ( cast_C1209085999_d_g_i @ X2 ) ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% CharacterData_simp12
thf(fact_246_get__M__Mshadow__root__preserved4a,axiom,
    ! [H: heap_S1465075775_j_k_l,Shadow_root_ptr: shadow_root_ptr_d,Setter: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec2068690451tion_j] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( cast_S988036065_b_j_k
                  @ ( Setter
                    @ ^ [Uu: n] : V
                    @ X2 ) ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ ( cast_S988036065_b_j_k @ X2 ) ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved4a
thf(fact_247_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_248_cast__document__not__node_I2_J,axiom,
    ! [Node: rObjec1922030987on_h_i,Document: rObjec1617416918on_j_k] :
      ( ( cast_N1183075319_j_k_l @ Node )
     != ( cast_D1252964113_h_i_l @ Document ) ) ).

% cast_document_not_node(2)
thf(fact_249_cast__document__not__node_I1_J,axiom,
    ! [Document: rObjec1617416918on_j_k,Node: rObjec1922030987on_h_i] :
      ( ( cast_D1252964113_h_i_l @ Document )
     != ( cast_N1183075319_j_k_l @ Node ) ) ).

% cast_document_not_node(1)
thf(fact_250_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,Setter: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: list_char,H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X2: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: list_char] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_251_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,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_ptr: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X2: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: list_n282880152tr_b_c] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_252_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,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_ptr: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X2: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: option_element_ptr_a] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_253_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X2: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: n] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_254_get__M__Mdocument__preserved10,axiom,
    ! [Getter: rObjec1413572695_j_k_l > n,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,H2: heap_S1465075775_j_k_l,Object_ptr: object945351580_d_e_f] :
      ( ! [X2: rObjec1617416918on_j_k] :
          ( ( Getter
            @ ( cast_D1252964113_h_i_l
              @ ( Setter
                @ ^ [Uu: m] : V
                @ X2 ) ) )
          = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved10
thf(fact_255_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: list_char] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_256_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: list_n282880152tr_b_c] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_257_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: 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 > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: option_element_ptr_a] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_258_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: n] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_259_get__M__Mdocument__preserved4,axiom,
    ! [H: heap_S1465075775_j_k_l,Document_ptr: docume1935157360tr_d_e,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > n,Object_ptr: object945351580_d_e_f] :
      ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
     => ( ! [X2: rObjec1617416918on_j_k] :
            ( ( Getter
              @ ( cast_D1252964113_h_i_l
                @ ( Setter
                  @ ^ [Uu: m] : V
                  @ X2 ) ) )
            = ( Getter @ ( cast_D1252964113_h_i_l @ X2 ) ) )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved4
thf(fact_260_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: ( n > n ) > rObjec2068690451tion_j > rObjec2068690451tion_j,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > n] :
      ( ( ( cast_d1608273229_b_c_f @ ( cast_s253715760_r_d_e @ Shadow_root_ptr ) )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( shadow1843699917_i_k_l @ Shadow_root_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mshadow_root_preserved3a
thf(fact_261_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr: 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 > n] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_257417239_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_262_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr: 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 > n] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_139724992_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_263_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr: 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 > n] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_1442125025_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_264_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( n > n ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: n,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > n] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_168144691_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_265_get__M__Mdocument__preserved3,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Object_ptr: object945351580_d_e_f,H: heap_S1465075775_j_k_l,Setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,V: m,H2: heap_S1465075775_j_k_l,Getter: rObjec1413572695_j_k_l > n] :
      ( ( ( cast_d1608273229_b_c_f @ Document_ptr )
       != Object_ptr )
     => ( ( heap_E494191872t_unit @ H @ ( put_M_674497586_h_i_l @ Document_ptr @ Setter @ V ) @ H2 )
       => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Object_ptr @ Getter ) @ H @ H2 ) ) ) ).

% get_M_Mdocument_preserved3
thf(fact_266_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,Ptr2: object945351580_d_e_f,Getter: rObjec1413572695_j_k_l > n] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( ( Ptr2
           != ( cast_d1608273229_b_c_f @ New_document_ptr ) )
         => ( heap_E1683112693tion_n @ ( get_M_421785767_k_l_n @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ) ).

% new_document_get_M\<^sub>O\<^sub>b\<^sub>j\<^sub>e\<^sub>c\<^sub>t
thf(fact_267_new__element__attrs,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_E946351744t_char @ H2 @ ( get_M_685446945_j_k_l @ New_element_ptr @ attrs_1151927177tion_g ) @ finite2103212841t_char ) ) ) ).

% new_element_attrs
thf(fact_268_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 )
      = ( ~ ? [Document2: rObjec1617416918on_j_k] :
              ( ( cast_D1252964113_h_i_l @ Document2 )
              = 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_269_new__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 ) ) ) ).

% new_document_type_wf_preserved
thf(fact_270_new__document__document__element,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_E1091541499_ptr_a @ H2 @ ( get_M_1723352102_h_i_l @ New_document_ptr @ docume1175131570on_j_k ) @ none_element_ptr_a ) ) ) ).

% new_document_document_element
thf(fact_271_new__document__doctype,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_E804379039t_char @ H2 @ ( get_M_1536717772_h_i_l @ New_document_ptr @ doctyp814403297on_j_k ) @ nil_char ) ) ) ).

% new_document_doctype
thf(fact_272_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,Ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > m] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( ( Ptr2 != New_document_ptr )
         => ( heap_E1683112692tion_m @ ( get_M_1422421269_h_i_l @ Ptr2 @ 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_273_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,Ptr2: docume1935157360tr_d_e,Getter: rObjec1617416918on_j_k > n] :
      ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
     => ( ( heap_E2101731758tr_d_e @ H @ new_do4779043_j_k_l @ New_document_ptr )
       => ( ( Ptr2 != New_document_ptr )
         => ( heap_E1683112693tion_n @ ( get_M_544184404_h_i_l @ Ptr2 @ 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_274_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,Ptr2: element_ptr_a,Getter: rObjec1875798643tion_g > n] :
      ( ( 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_E1683112693tion_n @ ( get_M_90096148_j_k_l @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% new_document_get_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t
thf(fact_275_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,Ptr2: node_p1234578834tr_b_c,Getter: rObjec1922030987on_h_i > n] :
      ( ( 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_E1683112693tion_n @ ( get_M_1644669866_j_k_l @ Ptr2 @ Getter ) @ H @ H2 ) ) ) ).

% new_document_get_M\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_276_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,Ptr2: character_data_ptr_b,Getter: rObjec1148923485tion_h > n] :
      ( ( 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_E1683112693tion_n @ ( get_M_1932781581_j_k_l @ Ptr2 @ 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_277_l__new__document_Onew__document__types__preserved,axiom,
    ! [Type_wf2: 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_wf2 )
     => ( ( heap_E2046843837tr_d_e @ H @ new_do4779043_j_k_l @ H2 )
       => ( ( Type_wf2 @ H )
          = ( Type_wf2 @ H2 ) ) ) ) ).

% l_new_document.new_document_types_preserved
thf(fact_278_l__new__document_Ointro,axiom,
    ! [Type_wf2: 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_wf2 @ H6 )
            = ( Type_wf2 @ H7 ) ) )
     => ( l_new_1474790279_j_k_l @ Type_wf2 ) ) ).

% l_new_document.intro
thf(fact_279_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_280_l__new__document__def,axiom,
    ( l_new_1474790279_j_k_l
    = ( ^ [Type_wf: 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_wf @ H4 )
            = ( Type_wf @ H5 ) ) ) ) ) ).

% l_new_document_def
thf(fact_281_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_282_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_283_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_284_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_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__some,axiom,
    ! [Document: rObjec1617416918on_j_k,Shadow_root2: rObjec2068690451tion_j] :
      ( ( ( cast_D1046746849_b_j_k @ Document )
        = ( some_R700141678tion_j @ Shadow_root2 ) )
      = ( ( cast_S988036065_b_j_k @ Shadow_root2 )
        = Document ) ) ).

% cast\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t\<^sub>2\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t_some
thf(fact_285_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_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__inv,axiom,
    ! [Shadow_root2: rObjec2068690451tion_j] :
      ( ( cast_D1046746849_b_j_k @ ( cast_S988036065_b_j_k @ Shadow_root2 ) )
      = ( some_R700141678tion_j @ Shadow_root2 ) ) ).

% cast\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t\<^sub>2\<^sub>S\<^sub>h\<^sub>a\<^sub>d\<^sub>o\<^sub>w\<^sub>R\<^sub>o\<^sub>o\<^sub>t_inv
thf(fact_286_not__Some__eq,axiom,
    ! [X: option1029218147tion_j] :
      ( ( ! [Y3: rObjec2068690451tion_j] :
            ( X
           != ( some_R700141678tion_j @ Y3 ) ) )
      = ( X = none_R125524722tion_j ) ) ).

% not_Some_eq
thf(fact_287_not__None__eq,axiom,
    ! [X: option1029218147tion_j] :
      ( ( X != none_R125524722tion_j )
      = ( ? [Y3: rObjec2068690451tion_j] :
            ( X
            = ( some_R700141678tion_j @ Y3 ) ) ) ) ).

% not_None_eq
thf(fact_288_option_Ocollapse,axiom,
    ! [Option: option1029218147tion_j] :
      ( ( Option != none_R125524722tion_j )
     => ( ( some_R700141678tion_j @ ( the_RO2055010943tion_j @ Option ) )
        = Option ) ) ).

% option.collapse
thf(fact_289_option_Osel,axiom,
    ! [X22: rObjec2068690451tion_j] :
      ( ( the_RO2055010943tion_j @ ( some_R700141678tion_j @ X22 ) )
      = X22 ) ).

% option.sel
thf(fact_290_option_Odistinct_I1_J,axiom,
    ! [X22: rObjec2068690451tion_j] :
      ( none_R125524722tion_j
     != ( some_R700141678tion_j @ X22 ) ) ).

% option.distinct(1)
thf(fact_291_option_OdiscI,axiom,
    ! [Option: option1029218147tion_j,X22: rObjec2068690451tion_j] :
      ( ( Option
        = ( some_R700141678tion_j @ X22 ) )
     => ( Option != none_R125524722tion_j ) ) ).

% option.discI
thf(fact_292_option_Oexhaust,axiom,
    ! [Y: option1029218147tion_j] :
      ( ( Y != none_R125524722tion_j )
     => ~ ! [X23: rObjec2068690451tion_j] :
            ( Y
           != ( some_R700141678tion_j @ X23 ) ) ) ).

% option.exhaust
thf(fact_293_option_Oinducts,axiom,
    ! [P2: option1029218147tion_j > $o,Option: option1029218147tion_j] :
      ( ( P2 @ none_R125524722tion_j )
     => ( ! [X2: rObjec2068690451tion_j] : ( P2 @ ( some_R700141678tion_j @ X2 ) )
       => ( P2 @ Option ) ) ) ).

% option.inducts
thf(fact_294_split__option__ex,axiom,
    ( ( ^ [P3: option1029218147tion_j > $o] :
        ? [X4: option1029218147tion_j] : ( P3 @ X4 ) )
    = ( ^ [P4: option1029218147tion_j > $o] :
          ( ( P4 @ none_R125524722tion_j )
          | ? [X3: rObjec2068690451tion_j] : ( P4 @ ( some_R700141678tion_j @ X3 ) ) ) ) ) ).

% split_option_ex
thf(fact_295_split__option__all,axiom,
    ( ( ^ [P3: option1029218147tion_j > $o] :
        ! [X4: option1029218147tion_j] : ( P3 @ X4 ) )
    = ( ^ [P4: option1029218147tion_j > $o] :
          ( ( P4 @ none_R125524722tion_j )
          & ! [X3: rObjec2068690451tion_j] : ( P4 @ ( some_R700141678tion_j @ X3 ) ) ) ) ) ).

% split_option_all
thf(fact_296_combine__options__cases,axiom,
    ! [X: option1029218147tion_j,P2: option1029218147tion_j > option1029218147tion_j > $o,Y: option1029218147tion_j] :
      ( ( ( X = none_R125524722tion_j )
       => ( P2 @ X @ Y ) )
     => ( ( ( Y = none_R125524722tion_j )
         => ( P2 @ X @ Y ) )
       => ( ! [A: rObjec2068690451tion_j,B: rObjec2068690451tion_j] :
              ( ( X
                = ( some_R700141678tion_j @ A ) )
             => ( ( Y
                  = ( some_R700141678tion_j @ B ) )
               => ( P2 @ X @ Y ) ) )
         => ( P2 @ X @ Y ) ) ) ) ).

% combine_options_cases
thf(fact_297_option_Oexhaust__sel,axiom,
    ! [Option: option1029218147tion_j] :
      ( ( Option != none_R125524722tion_j )
     => ( Option
        = ( some_R700141678tion_j @ ( the_RO2055010943tion_j @ Option ) ) ) ) ).

% option.exhaust_sel
thf(fact_298_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__some,axiom,
    ! [Obj: rObjec1413572695_j_k_l,Document: rObjec1617416918on_j_k] :
      ( ( ( cast_O1034441233_j_k_l @ Obj )
        = ( some_R67702331on_j_k @ Document ) )
      = ( ( 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_some
thf(fact_299_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__inv,axiom,
    ! [Document: rObjec1617416918on_j_k] :
      ( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ Document ) )
      = ( some_R67702331on_j_k @ Document ) ) ).

% 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_inv
thf(fact_300_option_Odisc__eq__case_I1_J,axiom,
    ! [Option: option1029218147tion_j] :
      ( ( Option = none_R125524722tion_j )
      = ( case_o1030391776tion_j @ $true
        @ ^ [Uu: rObjec2068690451tion_j] : $false
        @ Option ) ) ).

% option.disc_eq_case(1)
thf(fact_301_option_Odisc__eq__case_I2_J,axiom,
    ! [Option: option1029218147tion_j] :
      ( ( Option != none_R125524722tion_j )
      = ( case_o1030391776tion_j @ $false
        @ ^ [Uu: rObjec2068690451tion_j] : $true
        @ Option ) ) ).

% option.disc_eq_case(2)
thf(fact_302_case__optionE,axiom,
    ! [P2: $o,Q: rObjec2068690451tion_j > $o,X: option1029218147tion_j] :
      ( ( case_o1030391776tion_j @ P2 @ Q @ X )
     => ( ( ( X = none_R125524722tion_j )
         => ~ P2 )
       => ~ ! [Y4: rObjec2068690451tion_j] :
              ( ( X
                = ( some_R700141678tion_j @ Y4 ) )
             => ~ ( Q @ Y4 ) ) ) ) ).

% case_optionE
thf(fact_303_element__ptr__casts__commute2,axiom,
    ! [Element_ptr: element_ptr_a] :
      ( ( cast_n269450313tr_b_c @ ( cast_e316309897tr_b_c @ Element_ptr ) )
      = ( some_element_ptr_a @ Element_ptr ) ) ).

% element_ptr_casts_commute2
thf(fact_304_element__ptr__casts__commute,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c,Element_ptr: element_ptr_a] :
      ( ( ( cast_n269450313tr_b_c @ Node_ptr )
        = ( some_element_ptr_a @ Element_ptr ) )
      = ( ( cast_e316309897tr_b_c @ Element_ptr )
        = Node_ptr ) ) ).

% element_ptr_casts_commute
thf(fact_305_element__ptr__casts__commute3,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c] :
      ( ( is_ele1259807012tr_b_c @ Node_ptr )
     => ( ( cast_e316309897tr_b_c @ ( the_element_ptr_a @ ( cast_n269450313tr_b_c @ Node_ptr ) ) )
        = Node_ptr ) ) ).

% element_ptr_casts_commute3
thf(fact_306_is__element__ptr__kind__not__character__data__ptr,axiom,
    ! [Character_data_ptr: character_data_ptr_b] :
      ~ ( is_ele1259807012tr_b_c @ ( cast_c164415100_b_a_c @ Character_data_ptr ) ) ).

% is_element_ptr_kind_not_character_data_ptr
thf(fact_307_is__element__ptr__kind__cast,axiom,
    ! [Element_ptr: element_ptr_a] : ( is_ele1259807012tr_b_c @ ( cast_e316309897tr_b_c @ Element_ptr ) ) ).

% is_element_ptr_kind_cast
thf(fact_308_is__element__ptr__kind__obtains,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c] :
      ( ( is_ele1259807012tr_b_c @ Node_ptr )
     => ~ ! [Element_ptr3: element_ptr_a] :
            ( Node_ptr
           != ( cast_e316309897tr_b_c @ Element_ptr3 ) ) ) ).

% is_element_ptr_kind_obtains
thf(fact_309_DocumentMonad_Otype__wf__put__I,axiom,
    ! [H: heap_S1465075775_j_k_l,Ptr2: 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 @ Ptr2 @ Obj @ H ) )
       => ( ( ( is_doc45233057_d_e_f @ Ptr2 )
           => ( is_doc1417632087_j_k_l @ Obj ) )
         => ( type_w1479951274_j_k_l @ ( put_O_834343516_j_k_l @ Ptr2 @ Obj @ H ) ) ) ) ) ).

% DocumentMonad.type_wf_put_I
thf(fact_310_CharacterDataMonad_Otype__wf__put__I,axiom,
    ! [H: heap_S1465075775_j_k_l,Ptr2: object945351580_d_e_f,Obj: rObjec1413572695_j_k_l] :
      ( ( type_w1771507213_j_k_l @ H )
     => ( ( type_w697503069_j_k_l @ ( put_O_834343516_j_k_l @ Ptr2 @ Obj @ H ) )
       => ( ( ( case_o876177157tr_b_c @ $false @ is_cha330921893_a_b_c @ ( cast_o664948310_d_e_f @ Ptr2 ) )
           => ( ( case_o18599603on_h_i @ none_R417230014tion_h @ cast_N1374991725_g_h_i @ ( cast_O1705702135_j_k_l @ Obj ) )
             != none_R417230014tion_h ) )
         => ( type_w1771507213_j_k_l @ ( put_O_834343516_j_k_l @ Ptr2 @ Obj @ H ) ) ) ) ) ).

% CharacterDataMonad.type_wf_put_I
thf(fact_311_put__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__def,axiom,
    ( put_M_1937380872_j_k_l
    = ( l_put_1584770338t_char @ get_C_592656865_j_k_l @ put_C_229546338_j_k_l ) ) ).

% 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_def
thf(fact_312_is__character__data__ptr__kind_092_060_094sub_062__cast,axiom,
    ! [Character_data_ptr: character_data_ptr_b] : ( is_cha330921893_a_b_c @ ( cast_c164415100_b_a_c @ Character_data_ptr ) ) ).

% is_character_data_ptr_kind\<^sub>_cast
thf(fact_313_is__character__data__ptr__kind__obtains,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c] :
      ( ( is_cha330921893_a_b_c @ Node_ptr )
     => ~ ! [Character_data_ptr3: character_data_ptr_b] :
            ( ( cast_c164415100_b_a_c @ Character_data_ptr3 )
           != Node_ptr ) ) ).

% is_character_data_ptr_kind_obtains
thf(fact_314_is__character__data__ptr__kind__not__element__ptr,axiom,
    ! [Element_ptr: element_ptr_a] :
      ~ ( is_cha330921893_a_b_c @ ( cast_e316309897tr_b_c @ Element_ptr ) ) ).

% is_character_data_ptr_kind_not_element_ptr
thf(fact_315_ElementMonad_Otype__wf__put__I,axiom,
    ! [H: heap_S1465075775_j_k_l,Ptr2: object945351580_d_e_f,Obj: rObjec1413572695_j_k_l] :
      ( ( type_w697503069_j_k_l @ H )
     => ( ( type_w2078707819_j_k_l @ ( put_O_834343516_j_k_l @ Ptr2 @ Obj @ H ) )
       => ( ( ( case_o876177157tr_b_c @ $false @ is_ele1259807012tr_b_c @ ( cast_o664948310_d_e_f @ Ptr2 ) )
           => ( ( case_o1144239773on_h_i @ none_R509380180tion_g @ cast_N1424394706on_h_i @ ( cast_O1705702135_j_k_l @ Obj ) )
             != none_R509380180tion_g ) )
         => ( type_w697503069_j_k_l @ ( put_O_834343516_j_k_l @ Ptr2 @ Obj @ H ) ) ) ) ) ).

% ElementMonad.type_wf_put_I
thf(fact_316_CharacterDataClass_Otype__wf_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w1771507213_j_k_l @ H )
     => ( type_w2078707819_j_k_l @ H ) ) ).

% CharacterDataClass.type_wf\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_317_ElementClass_Otype__wf_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w697503069_j_k_l @ H )
     => ( type_w2078707819_j_k_l @ H ) ) ).

% ElementClass.type_wf\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_318_DocumentClass_Otype__wf_092_060_094sub_062N_092_060_094sub_062o_092_060_094sub_062d_092_060_094sub_062e,axiom,
    ! [H: heap_S1465075775_j_k_l] :
      ( ( type_w1479951274_j_k_l @ H )
     => ( type_w2078707819_j_k_l @ H ) ) ).

% DocumentClass.type_wf\<^sub>N\<^sub>o\<^sub>d\<^sub>e
thf(fact_319_put__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__def,axiom,
    ( put_M_682984464_j_k_l
    = ( l_put_1103319052_ptr_d @ get_E_312738192_j_k_l @ put_E_1775770377_j_k_l ) ) ).

% put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_320_put__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__def,axiom,
    ( put_M_1098917052_j_k_l
    = ( l_put_2122145248tr_b_c @ get_E_312738192_j_k_l @ put_E_1775770377_j_k_l ) ) ).

% put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_321_put__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__def,axiom,
    ( put_M_1720094109_j_k_l
    = ( l_put_1449921049t_char @ get_E_312738192_j_k_l @ put_E_1775770377_j_k_l ) ) ).

% put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_322_put__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__def,axiom,
    ( put_M_1724091798_j_k_l
    = ( l_put_1666965382t_char @ get_E_312738192_j_k_l @ put_E_1775770377_j_k_l ) ) ).

% put_M\<^sub>E\<^sub>l\<^sub>e\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_323_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_ptr3: docume1935157360tr_d_e,Document2: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ Document_ptr3 ) @ ( cast_D1252964113_h_i_l @ Document2 ) ) ) ) ).

% put\<^sub>D\<^sub>o\<^sub>c\<^sub>u\<^sub>m\<^sub>e\<^sub>n\<^sub>t_def
thf(fact_324_get__document__ptr__simp3,axiom,
    ! [Element_ptr: element_ptr_a,Document_ptr: docume1935157360tr_d_e,F: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l] :
      ( ( get_E_312738192_j_k_l @ Element_ptr @ ( put_D_2126422573_h_i_l @ Document_ptr @ F @ H ) )
      = ( get_E_312738192_j_k_l @ Element_ptr @ H ) ) ).

% get_document_ptr_simp3
thf(fact_325_get__document__ptr__simp5,axiom,
    ! [Character_data_ptr: character_data_ptr_b,Document_ptr: docume1935157360tr_d_e,F: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l] :
      ( ( get_C_592656865_j_k_l @ Character_data_ptr @ ( put_D_2126422573_h_i_l @ Document_ptr @ F @ H ) )
      = ( get_C_592656865_j_k_l @ Character_data_ptr @ H ) ) ).

% get_document_ptr_simp5
thf(fact_326_get__document__ptr__simp,axiom,
    ! [Ptr2: object945351580_d_e_f,Document_ptr: docume1935157360tr_d_e,Obj: rObjec1413572695_j_k_l,H: heap_S1465075775_j_k_l] :
      ( ( ( Ptr2
          = ( cast_d1608273229_b_c_f @ Document_ptr ) )
       => ( ( get_D_1192261494_j_k_l @ Document_ptr @ ( put_O_834343516_j_k_l @ Ptr2 @ Obj @ H ) )
          = ( cast_O1034441233_j_k_l @ Obj ) ) )
      & ( ( Ptr2
         != ( cast_d1608273229_b_c_f @ Document_ptr ) )
       => ( ( get_D_1192261494_j_k_l @ Document_ptr @ ( put_O_834343516_j_k_l @ Ptr2 @ Obj @ H ) )
          = ( get_D_1192261494_j_k_l @ Document_ptr @ H ) ) ) ) ).

% get_document_ptr_simp
thf(fact_327_get__document__ptr__simp6,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Character_data_ptr: character_data_ptr_b,F: rObjec1148923485tion_h,H: heap_S1465075775_j_k_l] :
      ( ( get_D_1192261494_j_k_l @ Document_ptr @ ( put_C_229546338_j_k_l @ Character_data_ptr @ F @ H ) )
      = ( get_D_1192261494_j_k_l @ Document_ptr @ H ) ) ).

% get_document_ptr_simp6
thf(fact_328_get__document__ptr__simp4,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Element_ptr: element_ptr_a,F: rObjec1875798643tion_g,H: heap_S1465075775_j_k_l] :
      ( ( get_D_1192261494_j_k_l @ Document_ptr @ ( put_E_1775770377_j_k_l @ Element_ptr @ F @ H ) )
      = ( get_D_1192261494_j_k_l @ Document_ptr @ H ) ) ).

% get_document_ptr_simp4
thf(fact_329_get__document__ptr__simp2,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Document_ptr2: docume1935157360tr_d_e,Document: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l] :
      ( ( Document_ptr != Document_ptr2 )
     => ( ( get_D_1192261494_j_k_l @ Document_ptr @ ( put_D_2126422573_h_i_l @ Document_ptr2 @ Document @ H ) )
        = ( get_D_1192261494_j_k_l @ Document_ptr @ H ) ) ) ).

% get_document_ptr_simp2
thf(fact_330_get__document__ptr__simp1,axiom,
    ! [Document_ptr: docume1935157360tr_d_e,Document: rObjec1617416918on_j_k,H: heap_S1465075775_j_k_l] :
      ( ( get_D_1192261494_j_k_l @ Document_ptr @ ( put_D_2126422573_h_i_l @ Document_ptr @ Document @ H ) )
      = ( some_R67702331on_j_k @ Document ) ) ).

% get_document_ptr_simp1
thf(fact_331_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_257417239_h_i_l
    = ( l_put_821218959t_char @ 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_332_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_333_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_1442125025_h_i_l
    = ( l_put_38398219_ptr_a @ 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_334_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_168144691_h_i_l
    = ( l_put_1129034845_j_k_n @ 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_335_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_674497586_h_i_l
    = ( l_put_1129034844_j_k_m @ 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_336_character__data__ptr__casts__commute3,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c] :
      ( ( is_cha330921893_a_b_c @ Node_ptr )
     => ( ( cast_c164415100_b_a_c @ ( the_ch963454248_ptr_b @ ( cast_n1518532508_a_b_c @ Node_ptr ) ) )
        = Node_ptr ) ) ).

% character_data_ptr_casts_commute3
thf(fact_337_character__data__ptr__casts__commute2,axiom,
    ! [Character_data_ptr: character_data_ptr_b] :
      ( ( cast_n1518532508_a_b_c @ ( cast_c164415100_b_a_c @ Character_data_ptr ) )
      = ( some_c586507257_ptr_b @ Character_data_ptr ) ) ).

% character_data_ptr_casts_commute2
thf(fact_338_character__data__ptr__casts__commute,axiom,
    ! [Node_ptr: node_p1234578834tr_b_c,Character_data_ptr: character_data_ptr_b] :
      ( ( ( cast_n1518532508_a_b_c @ Node_ptr )
        = ( some_c586507257_ptr_b @ Character_data_ptr ) )
      = ( ( cast_c164415100_b_a_c @ Character_data_ptr )
        = Node_ptr ) ) ).

% character_data_ptr_casts_commute

% Conjectures (5)
thf(conj_0,hypothesis,
    heap_E494191872t_unit @ h @ ( put_M_674497586_h_i_l @ document_ptr @ setter @ v ) @ h2 ).

thf(conj_1,hypothesis,
    ! [X5: rObjec1617416918on_j_k] :
      ( ( is_sha1522929624_b_j_k @ X5 )
      = ( is_sha1522929624_b_j_k
        @ ( setter
          @ ^ [Uu: m] : v
          @ X5 ) ) ) ).

thf(conj_2,hypothesis,
    ! [X5: rObjec2068690451tion_j] :
      ( ( getter
        @ ( the_RO2055010943tion_j
          @ ( cast_D1046746849_b_j_k
            @ ( setter
              @ ^ [Uu: m] : v
              @ ( cast_S988036065_b_j_k @ X5 ) ) ) ) )
      = ( getter @ X5 ) ) ).

thf(conj_3,hypothesis,
    ( ( cast_s253715760_r_d_e @ shadow_root_ptr )
   != document_ptr ) ).

thf(conj_4,conjecture,
    heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ getter ) @ h @ h2 ).

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