%%
%% This is file `groupthm.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% groupthm.dtx  (with options: `package')
%% 
%% IMPORTANT NOTICE:
%% 
%% For the copyright see the source file.
%% 
%% Any modified versions of this file must be renamed
%% with new filenames distinct from groupthm.sty.
%% 
%% For distribution of the original source see the terms
%% for copying and modification in the file groupthm.dtx.
%% 
%% This generated file may be distributed as long as the
%% original source files, as listed above, are part of the
%% same distribution. (The sources need not necessarily be
%% in the same archive or directory.)
%% File: groupthm.dtx
\ProvidesExplPackage{groupthm}{2022/01/17}{0.0.1}{Grouped theorems.}
\RequirePackage{amsthm}
\RequirePackage{thmtools}
\cs_new:Npn \__groupthm_thmtools_declare_theorem:nn #1 #2
  {
    \tl_log:n { Declaring ~ thmtools ~ theorem ~ #2 }
    \declaretheorem [ #1 ] { #2 }
  }
\cs_generate_variant:Nn \__groupthm_thmtools_declare_theorem:nn { V n }
\cs_new:Npn \__groupthm_hook_gset_rule_foreach:nNnn #1 #2 #3 #4
  {
    \cs_set:Npn \__groupthm_map_aux:n ##1
    {
      \hook_gset_rule:nnnn { #1 } { ##1 } { #3 } { #4 }
    }
    \clist_map_function:NN #2 \__groupthm_map_aux:n
  }
\msg_new:nnn { groupthm } { unknown ~ group }
{
  Unknown  ~ group ~ '#1' ~ supplied ~ \msg_line_context:
}
\msg_new:nnn { groupthm } { unknown ~ key }
{
  Unknown ~  key ~ '#1' ~ supplied ~ \msg_line_context:
}
\msg_new:nnn { groupthm } { wrong ~ definition }
{
  Bad ~ definition ~ of ~ #1 ~ '#2' ~ \msg_line_context:, ~ #1 ~ is ~ #3 ~ defined.
}
\msg_new:nnn { groupthm } { misuse ~ add ~ theorem ~ to ~ group }
  {
    Bad ~ usage ~ of ~ 'AddTheoremToGroup' ~ macro ~ outside ~ theorem ~
    family ~ options ~ \msg_line_context:
  }
\msg_new:nnnn { groupthm } { undefined ~ theorem ~ variant }
  {
    Bad ~ call ~ of ~ theorem ~ variant ~ of ~ '#1' ~ \msg_line_context:
  }
  {
    You ~ wanted ~ to ~ call ~ the ~ variant ~ with ~ group(s) ~
    '#2' ~ of ~ theorem ~ family ~ '#1', ~ but ~ it ~ has ~ not ~ been ~
    generated ~ yet. ~
    Probably ~ you ~ forgot ~ this. ~
    \msg_see_documentation_text:n { groupthm }
  }
\hook_new:n { __groupthm/prefix   }
\hook_new:n { __groupthm/suffix  }
\hook_new:n { __groupthm/mapname   }
\hook_new:n { __groupthm/thmtools  }
\hook_new:n { __groupthm/groupsort }
\cs_generate_variant:Nn \hook_gset_rule:nnnn { n n V n }
\bool_new:N  \l__groupthm_key_starred_version_bool
\tl_new:N    \l__groupthm_key_prefix_tl
\tl_new:N    \l__groupthm_key_name_tl
\tl_new:N    \l__groupthm_key_suffix_tl
\clist_new:N \l__groupthm_key_group_clist
\clist_new:N \l__groupthm_key_mapname_clist
\clist_new:N \l__groupthm_key_thmtools_clist
\tl_new:N    \l__groupthm_prefix_tl
\tl_new:N    \l__groupthm_name_tl
\tl_new:N    \l__groupthm_suffix_tl
\clist_new:N \l__groupthm_mapname_clist
\clist_new:N \l__groupthm_thmtools_clist
\clist_new:N \l__groupthm_group_clist
\clist_new:N \g__groupthm_defined_groups_clist
\bool_new:N  \l__groupthm_in_family_options_environment_bool
\int_new:N   \g__groupthm_append_groups_int
\keys_define:nn { groupthm / theorem ~ group }
  {
    prefix      .tl_set:N      = \l__groupthm_key_prefix_tl,
    prefix      .default:n     = \c_empty_tl,
    suffix      .tl_set:N      = \l__groupthm_key_suffix_tl,
    suffix      .default:n     = \c_empty_tl,
    suffix      .groups:n      = { theoremgroup },
    map ~ name  .clist_set:N   = \l__groupthm_mapname_clist,
    map ~ name  .default:n     = {},
    map ~ name  .groups:n      = { theoremgroup },
    thmtools    .clist_set:N   = \l__groupthm_key_thmtools_clist,
    thmtools    .default:n     = {},
    unknown     .code:n        =
      \msg_error:nnx { groupthm } { unknown ~ key } { \str_use:N \l_keys_key_str }
  }
\keys_define:nn { groupthm / grouped ~ theorem }
  {
    name                    .tl_set:N      = \l__groupthm_key_name_tl,
    name                    .default:n     = \c_novalue_tl,
    group                   .clist_set:N   = \l__groupthm_key_group_clist,
    group                   .default:n     = {},
    thmtools                .clist_set:N   = \l__groupthm_key_thmtools_clist,
    thmtools                .default:n     = {},
    starred ~ version       .bool_set:N    = \l__groupthm_key_starred_version_bool,
    starred ~ version       .default:n     = { true },
    unknown      .code:n        =
      \msg_error:nnx { groupthm } { unknown ~ key } { \str_use:N \l_keys_key_str }
  }
\keys_define:nn { groupthm / theorem ~ family }
  {
    name                    .tl_set:N      = \l__groupthm_key_name_tl,
    name                    .default:n     = \c_novalue_tl,
    group                   .clist_set:N   = \l__groupthm_key_group_clist,
    group                   .default:n     = {},
    thmtools                .clist_set:N   = \l__groupthm_key_thmtools_clist,
    thmtools                .default:n     = {},
    starred ~ version       .bool_set:N    = \l__groupthm_key_starred_version_bool,
    starred ~ version       .default:n     = { true },
    unknown      .code:n        =
      \msg_error:nnx { groupthm } { unknown ~ key } { \str_use:N \l_keys_key_str }
  }
\keys_define:nn { groupthm / theorem ~ family ~ options }
  {
    starred ~ version       .bool_set:N    = \l__groupthm_key_starred_version_bool,
    starred ~ version       .default:n     = { true },
    unknown      .code:n        =
      \msg_error:nnx { groupthm } { unknown ~ key } { \str_use:N \l_keys_key_str }
  }
\cs_new:Npn \__groupthm_set_normalized_keys:nnn #1 #2 #3
  {
    \keys_set:nn { groupthm / theorem ~ group   }
      { prefix, suffix, thmtools, map ~ name        }
    \keys_set:nn { groupthm / grouped ~ theorem }
      { name,   group,  thmtools, starred ~ version }
    \keys_set:nn { groupthm / theorem ~ family  }
      { name,   group,  thmtools, starred ~ version }
    \keys_set:nn { groupthm / #2 } { #1 }
    \tl_if_eq:NnTF \l__groupthm_key_name_tl { \c_novalue_tl }
      {
        \tl_set:Nx \l__groupthm_name_tl
          {
            \text_titlecase_first:n {#3}
          }
      }
      {
        \tl_set_eq:NN \l__groupthm_name_tl \l__groupthm_key_name_tl
      }
    \bool_set_eq:NN  \l__groupthm_starred_version_bool \l__groupthm_key_starred_version_bool
    \tl_set_eq:NN    \l__groupthm_prefix_tl            \l__groupthm_key_prefix_tl
    \tl_set_eq:NN    \l__groupthm_suffix_tl            \l__groupthm_key_suffix_tl
    \clist_set_eq:NN \l__groupthm_group_clist          \l__groupthm_key_group_clist
    \clist_set_eq:NN \l__groupthm_mapname_clist        \l__groupthm_key_mapname_clist
    \clist_set_eq:NN \l__groupthm_thmtools_clist       \l__groupthm_key_thmtools_clist
  }
\cs_new:Npn \__groupthm_add_to_group_ordering:n #1
  {
    \__groupthm_hook_gset_rule_foreach:nNnn
      { __groupthm/groupsort }
      \g__groupthm_defined_groups_clist
      { before }
      { #1 }
  }
\cs_new:Npn \__groupthm_remove_from_group_ordering:n #1
  {
    \__groupthm_hook_gset_rule_foreach:nNnn
      { __groupthm/groupsort }
      \g__groupthm_defined_groups_clist
      { unrelated }
      { #1 }
  }
\cs_new:Npn \__groupthm_add_to_sort_hook:n #1
{
  \hook_gput_code:nnn { __groupthm/groupsort }
  { #1 }
  {
    \clist_put_left:Nn \l__groupthm_group_clist { #1 }
  }
}
\cs_new:Npn \__groupthm_sort_group_names:
  {
    \hook_gremove_code:nn { __groupthm/groupsort  }{*}
    \clist_map_function:NN \l__groupthm_group_clist \__groupthm_add_to_sort_hook:n
    \clist_clear:N \l__groupthm_group_clist
    \hook_use:n { __groupthm/groupsort }
  }
\cs_new:Npn \__groupthm_define_group:nnnnn #1#2#3#4#5
  {
  \cs_new:cpn { __groupthm_use_group__#1: }
    {
      \hook_gput_code:nnn { __groupthm/prefix } { #1 }
        {
            \tl_put_left:Nx \l__groupthm_prefix_tl { #2 }
        }
      \hook_gput_code:nnn { __groupthm/suffix } { #1 }
        {
            \tl_put_right:Nx \l__groupthm_suffix_tl { #3 }
        }
      \hook_gput_code:nnn { __groupthm/mapname } { #1 }
        {
          \clist_put_right:Nn \l__groupthm_mapname_clist { #4 }
        }
      \hook_gput_code:nnn { __groupthm/thmtools } { #1 }
        {
          \clist_put_right:Nn \l__groupthm_thmtools_clist { #5 }
        }
    }
    \__groupthm_add_to_group_ordering:n { #1 }
    \clist_new:c { g__groupthm_parents_group__#1__clist }
    \hook_gset_rule:nnnn { ?? } { all        } { before } { #1 }
    \hook_gset_rule:nnnn { ?? } { unnumbered } { after  } { #1 }
    \hook_gset_rule:nnnn { ?? } { starred    } { after  } { #1 }
    \clist_gput_left:Nn \g__groupthm_defined_groups_clist { #1 }
  }
\cs_new:Npn \__groupthm_undefine_group:n #1
  {
    \tl_log:n { Undefining ~ theorem ~ group ~ '#1' }
    \cs_undefine:c { __groupthm_use_group__#1:   }
    \hook_gremove_code:nn { __groupthm/prefix  } { #1 }
    \hook_gremove_code:nn { __groupthm/suffix } { #1 }
    \hook_gremove_code:nn { __groupthm/mapname  } { #1 }
    \hook_gremove_code:nn { __groupthm/thmtools } { #1 }
    \clist_gremove_all:Nn  \g__groupthm_defined_groups_clist { #1 }
    \cs_undefine:c { g__groupthm_parents_group__#1__clist }
    \__groupthm_hook_gset_rule_foreach:nNnn
      { ?? }
      \g__groupthm_defined_groups_clist
      { unrelated }
      { #1 }
    \__groupthm_hook_gset_rule_foreach:nNnn
      { __groupthm/prefix }
      \g__groupthm_defined_groups_clist
      { unrelated }
      { #1 }
    \__groupthm_hook_gset_rule_foreach:nNnn
      { __groupthm/suffix }
      \g__groupthm_defined_groups_clist
      { unrelated }
      { #1 }
    \__groupthm_hook_gset_rule_foreach:nNnn
      { __groupthm/mapname }
      \g__groupthm_defined_groups_clist
      { unrelated }
      { #1 }
    \__groupthm_hook_gset_rule_foreach:nNnn
      { __groupthm/thmtools }
      \g__groupthm_defined_groups_clist
      { unrelated }
      { #1 }
    \__groupthm_remove_from_group_ordering:n { #1 }
  }
\cs_new:Npn \__groupthm_define:nnnNNNn #1 #2 #3 #4 #5 #6 #7
  {
    \bool_if:nT
      {
        \str_if_eq_p:nn { #1 } { new }
        &&
        \cs_if_exist_p:N #4
      }
      {
        \tl_log:n { Wrong ~ 'new' ~ definition ~ of ~ #2 ~ '#3' ~ detected. }
        \msg_error:nnnnn { groupthm } { wrong ~ definition }
          { #2 } { #3 } { already }
      }
    \bool_if:nT
      {
        \str_if_eq_p:nn { #1 } { renew }
        &&
        ! \cs_if_exist_p:N #4
      }
      {
        \tl_log:n { Wrong ~ 'renew' ~ definition ~ of ~ #2 ~ '#3' ~ detected. }
        \msg_error:nnnnn { groupthm } { wrong ~ definition }
          { #2 } { #3 } { not }
      }
    \bool_if:nT
      {
        (
          \str_if_eq_p:nn { #1 } { declare } ||
          \str_if_eq_p:nn { #1 } { renew }
        ) &&
        \cs_if_exist_p:N #4
      }
      {
        \tl_log:n { Removing ~ definition ~ of ~ #2 ~ '#3'. }
        \tl_log:n { Declarator ~ was ~ #1. }
        #5 { #3 }
      }
    \bool_if:nTF
      {
        \cs_if_exist_p:N #4
        &&
        \str_if_eq_p:nn { #1 } { provide }
      }
      {
        \tl_log:n { Providing ~ #2 ~ '#3' ~ skipped: ~ '#3' ~ already ~ defined. }
      }
      {
        \tl_log:n { Defining ~ #2 ~ '#3'. }
        #6 #7
      }
  }
\cs_generate_variant:Nn \__groupthm_define:nnnNNNn { n n n c N N n }
\cs_new:Npn \__groupthm_define_multiple:nnnNNnn #1 #2 #3 #4 #5 #6 #7
  {
    \cs_set:Npn \__groupthm_map_aux:n ##1
      {
        \cs_new:cn { #6 }
          {
            \__groupthm_define:nnncNNn
              { ##1 }
              { #2 }
              { ####1 }
              { #3 }
              #4
              #5
              { #7 }
          }
      }
    \clist_map_function:nN { #1 } \__groupthm_map_aux:n
  }
\__groupthm_define_multiple:nnnNNnn
  { new, renew, provide, declare }
  { theorem group }
  { __groupthm_use_group__##1: }
  \__groupthm_undefine_group:n
  \__groupthm_define_group:nnnnn
  { groupthm_#1_group:nnnnn }
  { { ##1 } { ##2 } { ##3 } { ##4 } { ##5 } }
\cs_generate_variant:Nn \groupthm_new_group:nnnnn     { n V V V V }
\cs_generate_variant:Nn \groupthm_renew_group:nnnnn   { n V V V V }
\cs_generate_variant:Nn \groupthm_provide_group:nnnnn { n V V V V }
\cs_generate_variant:Nn \groupthm_declare_group:nnnnn { n V V V V }
\cs_new:Npn \__groupthm_wrap_multiple:nnn #1 #2 #3
  {
    \cs_set:Npn \__groupthm_map_aux:n ##1
      {
        \cs_new:cn { #2 }
          {
            #3
          }
      }
    \clist_map_function:nN { #1 } \__groupthm_map_aux:n
  }
\__groupthm_wrap_multiple:nnn
  { new, renew, provide, declare }
  { groupthm_#1_group:nn }
  {
    \__groupthm_set_normalized_keys:nnn { ##1 } { theorem ~ group } { ##2 }
    \use:c { groupthm_#1_group:nVVVV }
      { ##2 }
      \l__groupthm_prefix_tl
      \l__groupthm_suffix_tl
      \l__groupthm_mapname_clist
      \l__groupthm_thmtools_clist
  }
\cs_generate_variant:Nn \groupthm_new_group:nn { n x }
\cs_new:Npn \__groupthm_new_document_command:Nnn #1 #2 #3
  {
    \NewDocumentCommand { #1 } { #2 } { #3 }
  }
\cs_generate_variant:Nn \__groupthm_new_document_command:Nnn { c n n }
\cs_new:Npn \__groupthm_wrap_multiple_document:nnnn #1 #2 #3 #4
  {
    \cs_set:Npn \__groupthm_map_aux:n ##1
      {
        \cs_set:Nn \__groupthm_Declarator: { \text_titlecase_first:n { ##1 } }
        \__groupthm_new_document_command:cnn { #2 } { #3 } { #4 }
      }
    \clist_map_function:nN { #1 } \__groupthm_map_aux:n
  }
\__groupthm_wrap_multiple_document:nnnn
  { new, renew, provide, declare }
  { \__groupthm_Declarator: TheoremGroup }
  { O{} m }
  {
    \use:c { groupthm_#1 _group:nn } { ##1 } { ##2 }
  }
\cs_new:Npn \groupthm_declare_group_rule:nnnn #1 #2 #3 #4
  {
    \str_set:Nx \l_tmpa_str { \tl_trim_spaces:n { #3 } }
    \str_if_eq:VnT \l_tmpa_str { higher }
      {
        \str_set:Nn \l_tmpa_str { after }
      }
    \str_if_eq:VnT \l_tmpa_str { lower }
      {
        \str_set:Nn \l_tmpa_str { before }
      }
    \str_if_eq:nnTF { #1 } { ?? }
      {
        \hook_gset_rule:nnVn {??} {#2} \l_tmpa_str {#4}
      }
      {
        \hook_gset_rule:nnVn { __groupthm / #1 } {#2} \l_tmpa_str {#4}
      }
  }
\cs_generate_variant:Nn \groupthm_declare_group_rule:nnnn { n n n x }
\NewDocumentCommand { \DeclareTheoremGroupRule } { O{??} m m m }
  {
    \groupthm_declare_group_rule:nnnn {#1} {#2} {#3} {#4}
  }
\cs_new:Npn \groupthm_add_parent:nn #1 #2
  {
    \__groupthm_ensure_group_exists:n { #1 }
    \__groupthm_ensure_group_exists:n { #2 }
    \clist_gput_left:cn { g__groupthm_parents_group__#1__clist } { #2 }
  }
\cs_generate_variant:Nn \groupthm_add_parent:nn { n x }
\NewDocumentCommand { \AddTheoremGroupParent } { m m }
  {
    \groupthm_add_parent:nn { #1 } { #2 }
  }
\cs_new:Npn \__groupthm_push_tmpa_seq:n #1
  {
    \seq_push:Nn \l_tmpa_seq { #1 }
  }
\cs_new:Npn \__groupthm_flatten_groups_hierarchy:nN #1 #2
  {
    \clist_clear:N #2
    \seq_set_from_clist:Nn \l_tmpa_seq { #1 }
    \bool_until_do:nn
      {
        \seq_if_empty_p:N \l_tmpa_seq
      }
      {
        \seq_pop:NN \l_tmpa_seq \l_tmpa_tl
        \__groupthm_ensure_group_exists:V \l_tmpa_tl
        \clist_if_in:NVF #2 \l_tmpa_tl
          {
            \clist_put_left:NV #2 \l_tmpa_tl
            \clist_map_function:cN
              { g__groupthm_parents_group__ \l_tmpa_tl __clist }
              \__groupthm_push_tmpa_seq:n
          }
      }
  }
\cs_new:Npn \groupthm_append_to_group:nn #1 #2
  {
    \groupthm_new_group:nx  { #1 } { __append__ \int_use:N \g__groupthm_append_groups_int }
    \groupthm_add_parent:nx { #2 } { __append__ \int_use:N \g__groupthm_append_groups_int }
    \groupthm_declare_group_rule:nnnx
      { ?? } { #2 } { before } { __append__ \int_use:N \g__groupthm_append_groups_int }
    \int_gincr:N \g__groupthm_append_groups_int
  }
\NewDocumentCommand { \AppendToTheoremGroup } { O{} m }
  {
    \groupthm_append_to_group:nn { #1 } { #2 }
  }
\groupthm_new_group:nnnnn { all        } { } { } { } {               }
\groupthm_new_group:nnnnn { starred    } { } { } { } { numbered = no }
\groupthm_new_group:nnnnn { unnumbered } { } { } { } { numbered = no }
\clist_new:N  \l__powerset_copied_clist
\seq_new:N    \l__powerset_saved_seq
\cs_generate_variant:Nn \clist_remove_all:Nn { N V }
\cs_new:Npn \__powerset_clist_foreach_aux:Nn #1 #2
  {
    \clist_if_empty:NTF \l__powerset_copied_clist
      {
        #2
      }
      {
        \clist_get:NN \l__powerset_copied_clist \l_tmpa_tl
        \seq_push:NV  \l__powerset_saved_seq \l_tmpa_tl
        \clist_pop:NN \l__powerset_copied_clist { \l_tmpa_tl }
        \__powerset_clist_foreach_aux:Nn #1 {#2}
        \seq_get:NN \l__powerset_saved_seq \l_tmpa_tl
        \clist_put_left:NV #1 \l_tmpa_tl
        \__powerset_clist_foreach_aux:Nn #1 {#2}
        \seq_get:NN \l__powerset_saved_seq \l_tmpa_tl
        \clist_remove_all:NV #1 \l_tmpa_tl
        \clist_push:NV \l__powerset_copied_clist \l_tmpa_tl
        \seq_pop:NN \l__powerset_saved_seq \l_tmpa_tl
      }
  }
\cs_new:Npn \powerset_clist_foreach:Nn #1 #2
  {
    \clist_set_eq:NN \l__powerset_copied_clist #1
    \clist_clear:N #1
    \clist_remove_duplicates:N \l__powerset_copied_clist
    \__powerset_clist_foreach_aux:Nn #1 {#2}
    \clist_set_eq:NN #1 \l__powerset_copied_clist
  }
\cs_new:Npn \__groupthm_ensure_group_exists:n #1
  {
    \cs_if_exist:cF { __groupthm_use_group__#1: }
    {
      \msg_error:nnn { groupthm } { unknown ~ group } { #1 }
    }
  }
\cs_generate_variant:Nn \__groupthm_ensure_group_exists:n { V }
\cs_new:Npn \__groupthm_use_group:n #1
  {
    \__groupthm_ensure_group_exists:n { #1 }
    \use:c { __groupthm_use_group__#1: }
  }
\cs_new:Npn \__groupthm_use_function_on_name:n #1
  {
    \tl_set:Nx \l__groupthm_name_tl
      {
        #1 { \tl_use:N \l__groupthm_name_tl }
      }
  }
\cs_new:Npn \__groupthm_define_theorem:nnnn #1 #2 #3 #4
  {
    \tl_clear:N     \l__groupthm_prefix_tl
    \tl_set:Nn      \l__groupthm_name_tl        { #3 }
    \tl_clear:N     \l__groupthm_suffix_tl
    \clist_clear:N  \l__groupthm_mapname_clist
    \clist_clear:N  \l__groupthm_thmtools_clist
    \hook_gremove_code:nn { __groupthm/prefix  }{*}
    \hook_gremove_code:nn { __groupthm/suffix }{*}
    \hook_gremove_code:nn { __groupthm/mapname  }{*}
    \hook_gremove_code:nn { __groupthm/thmtools }{*}
    \__groupthm_flatten_groups_hierarchy:nN { #2, all } \l__groupthm_group_clist
    \clist_map_function:NN \l__groupthm_group_clist \__groupthm_use_group:n
    \tl_log:x { Flattened ~ groups ~ '#2' ~ to ~ '\clist_use:Nn \l__groupthm_group_clist {,}' ~ when ~
                defining ~ theorem ~ '#1' }
    \hook_use:n { __groupthm/prefix }
    \hook_use:n { __groupthm/suffix }
    \hook_use:n { __groupthm/mapname }
    \hook_use:n { __groupthm/thmtools }
    \clist_map_function:NN \l__groupthm_mapname_clist \map_use_on_name:n
    \tl_set:Nn       \l_tmpa_tl { name = }
    \tl_put_right:NV \l_tmpa_tl \l__groupthm_prefix_tl
    \tl_put_right:NV \l_tmpa_tl \l__groupthm_name_tl
    \tl_put_right:NV \l_tmpa_tl \l__groupthm_suffix_tl
    \clist_put_right:NV \l__groupthm_thmtools_clist \l_tmpa_tl
    \clist_put_right:Nn \l__groupthm_thmtools_clist { #4 }
    \__groupthm_thmtools_declare_theorem:Vn
      \l__groupthm_thmtools_clist
      { #1 }
  }
\__groupthm_define_multiple:nnnNNnn
  { new, provide }
  { grouped ~ theorem }
  { ##1 }
  \__groupthm_error:
  \__groupthm_define_theorem:nnnn
  { groupthm_#1_theorem:nnnn }
  { { ##1 } { ##2 } { ##3 } { ##4 } }
\cs_generate_variant:Nn \groupthm_new_theorem:nnnn     { n V V V }
\cs_generate_variant:Nn \groupthm_provide_theorem:nnnn { n V V V }
\cs_generate_variant:Nn \groupthm_new_theorem:nnnn     { x V n n }
\cs_generate_variant:Nn \groupthm_provide_theorem:nnnn { x V n n }
\__groupthm_wrap_multiple:nnn
  { new, provide }
  { groupthm_#1_theorem:nnn }
  {
    \__groupthm_set_normalized_keys:nnn { ##1 } { grouped ~ theorem } { ##2 }
    \bool_if:nT { ##3 }
      {
        \clist_put_left:Nn \l__groupthm_group_clist { unnumbered }
      }
    \use:c { groupthm_#1_theorem:nVVV }
      { ##2 }
      \l__groupthm_group_clist
      \l__groupthm_name_tl
      \l__groupthm_thmtools_clist
    \bool_if:NT \l__groupthm_starred_version_bool
      {
        \clist_put_left:Nn \l__groupthm_group_clist { starred }
        \use:c { groupthm_#1_theorem:nVVV }
          { ##2* }
          \l__groupthm_group_clist
          \l__groupthm_name_tl
          \l__groupthm_thmtools_clist
      }
  }
\__groupthm_wrap_multiple_document:nnnn
  { new, provide }
  { \__groupthm_Declarator: GroupedTheorem }
  { s O{} m }
  {
    \use:c { groupthm_#1_theorem:nnn }
      { ##2 }
      { ##3 }
      { ##1 }
  }
\cs_new:Npn \__groupthm_define_family:nnnnn #1 #2 #3 #4 #5
  {
    \clist_set:Nn \l_tmpa_clist { #2 }
    \powerset_clist_foreach:Nn \l_tmpa_clist
      {
        \clist_set_eq:NN \l__groupthm_group_clist \l_tmpa_clist
        \clist_put_right:Nn \l__groupthm_group_clist { #5 }
        \__groupthm_sort_group_names:
        \use:c{groupthm_new_theorem:xVnn}
          {__#1__groups_\clist_use:Nn \l__groupthm_group_clist {_}}
          \l__groupthm_group_clist
          { #3 }
          { #4 }
      }
    \clist_new:c { __groupthm_family__#1__group_clist }
    \clist_set_eq:cN {__groupthm_family__#1__group_clist } \l_tmpa_clist
    \clist_new:c { __groupthm_family__#1__always_group_clist }
    \clist_set:cn {__groupthm_family__#1__always_group_clist } { #5 }
  }
\__groupthm_define_multiple:nnnNNnn
  { new, provide }
  { theorem ~ family }
  { __groupthm_family__##1__group_clist }
  \__groupthm_error:
  \__groupthm_define_family:nnnnn
  { groupthm_#1_family:nnnnn }
  { { ##1 } { ##2 } { ##3 } { ##4 } { ##5 }}
\cs_generate_variant:Nn \groupthm_new_family:nnnnn     { n V V V V }
\cs_generate_variant:Nn \groupthm_provide_family:nnnnn { n V V V V }
\__groupthm_wrap_multiple:nnn
{ new, provide }
{ groupthm_#1_family:nnn }
{
  \__groupthm_set_normalized_keys:nnn { ##1 } { theorem ~ family } { ##2 }
  \bool_if:nTF { ##3}
    {
      \clist_set:Nn \l_tmpa_clist { unnumbered }
    }
    {
      \clist_clear:N \l_tmpa_clist
    }
  \bool_if:NT \l__groupthm_starred_version_bool
    {
      \clist_put_left:Nn \l__groupthm_group_clist { starred }
    }
  \use:c { groupthm_#1_family:nVVVV }
    { ##2 }
    \l__groupthm_group_clist
    \l__groupthm_name_tl
    \l__groupthm_thmtools_clist
    \l_tmpa_clist
}
\__groupthm_wrap_multiple_document:nnnn
  { new, provide }
  { \__groupthm_Declarator: GroupedTheoremFamily }
  { s O{} m }
  {
    \use:c { groupthm_#1_family:nnn }
      { ##2 }
      { ##3 }
      { ##1 }
  }
\cs_new:Npn \groupthm_add_theorem_to_group:n #1
  {
    \bool_if:NTF \l__groupthm_in_family_options_environment_bool
      {
        \clist_put_left:Nn \l__groupthm_group_clist { #1 }
      }
      {
        \msg_error:nn { groupthm } { misuse ~ add ~ theorem ~ to ~ group }
      }
  }
  \NewDocumentCommand { \AddTheoremToGroup } { m }
  {
    \groupthm_add_theorem_to_group:n { #1 }
  }
\cs_new:Npn \__groupthm_define_family_options:nnnn #1 #2 #3 #4
  {
    \DeclareDocumentEnvironment
      { #1 }
      { #2 }
      {
        \clist_clear:N \l__groupthm_group_clist
        \bool_set_true:N \l__groupthm_in_family_options_environment_bool
        #3
        \bool_set_false:N \l__groupthm_in_family_options_environment_bool
        \clist_put_right:Nn \l__groupthm_group_clist { #4 }
        \__groupthm_sort_group_names:
        \cs_if_exist:cTF { __#1__groups_ \clist_use:Nn \l__groupthm_group_clist { _ } }
        {
          \begin { __#1__groups_ \clist_use:Nn \l__groupthm_group_clist { _ } }
        }
        {
          \msg_error:nnxx { groupthm } { undefined ~ theorem ~ variant }
            { #1 }
            { \clist_use:Nnnn \l__groupthm_group_clist { ~ and ~ } {, ~} { , ~ and ~ } }
        }
      }
      {
        \clist_clear:N \l__groupthm_group_clist
        \bool_set_true:N \l__groupthm_in_family_options_environment_bool
        #3
        \bool_set_false:N \l__groupthm_in_family_options_environment_bool
        \clist_put_right:Nn \l__groupthm_group_clist { #4 }
        \__groupthm_sort_group_names:
        \end { __#1__groups_ \clist_use:Nn \l__groupthm_group_clist { _ } }
      }
  }
\__groupthm_define_multiple:nnnNNnn
  { new, renew, provide, declare }
  { theorem ~ family ~ options }
  { ##1 }
  \use_none:n
  \__groupthm_define_family_options:nnnn
  { groupthm_#1_family_options:nnnn }
  { { ##1 } { ##2 } { ##3 } { ##4 } }
\cs_generate_variant:Nn \groupthm_new_family_options:nnnn { n n n V }
\cs_generate_variant:Nn \groupthm_renew_family_options:nnnn { n n n V }
\cs_generate_variant:Nn \groupthm_provide_family_options:nnnn { n n n V }
\cs_generate_variant:Nn \groupthm_declare_family_options:nnnn { n n n V }
\__groupthm_wrap_multiple_document:nnnn
  { new, renew, provide, declare }
  { \__groupthm_Declarator: GroupedTheoremFamilyOptions }
  { s O{} m m m }
  {
    \keys_set:nn { groupthm / theorem ~ family ~ options } { starred ~ version }
    \keys_set:nn { groupthm / theorem ~ family ~ options } { ##2 }
    \bool_if:nTF { ##1 }
      {
        \clist_set:Nn \l_tmpa_clist { unnumbered }
      }
      {
        \clist_clear:N \l_tmpa_clist
      }
   \use:c { groupthm_#1_family_options:nnnV }
     { ##3 }
     { ##4 }
     { ##5 }
     \l_tmpa_clist
   \bool_if:NT \l__groupthm_starred_version_bool
     {
       \use:c { groupthm_#1_family_options:nnnV }
         { ##3* }
         { ##4 }
         {
           ##5
           \groupthm_add_theorem_to_group:n { starred }
         }
         \l_tmpa_clist
     }
  }
\endinput
%%
%% End of file `groupthm.sty'.