Quelle  Pure.thy

(*  Title:      Pure/Pure.thy
    Author:     Makarius

The Pure theory, with definitions of Isar commands and some lemmas.
*)

theory Pure
keywords
    "!!" "!" "+" ":" ";" "<" "<=" "==" "=>" "?" "[" "―" "≡" "↽" "⇀" "⇌"
    "⊆" "]" "binder" "by" "congproc" "identifier" "in" "infix" "infixl" "infixr" "is" "open"
    "output" "overloaded" "passive" "pervasive" "premises" "structure" "unchecked" "weak_congproc"
  and "private" "qualified" :: before_command
  and "assumes" "constrains" "defines" "fixes" "for" "if" "includes" "notes" "rewrites"
    "obtains" "shows" "when" "where" "|" :: quasi_command
  and "text" "txt" :: document_body
  and "text_raw" :: document_raw
  and "default_sort" :: thy_decl
  and "typedecl" "nonterminal" "judgment" "consts" "syntax" "no_syntax" "syntax_consts"
    "syntax_types" "translations" "no_translations" "type_notation" "no_type_notation" "notation"
    "no_notation" "alias" "type_alias" "declare" "hide_class" "hide_type" "hide_const"
    "hide_fact" :: thy_decl
  and "type_synonym" "definition" "abbreviation" "lemmas" :: thy_defn
  and "axiomatization" :: thy_stmt
  and "external_file" "bibtex_file" "ROOTS_file" :: thy_load
  and "generate_file" :: thy_decl
  and "export_generated_files" :: diag
  and "scala_build_generated_files" :: diag
  and "compile_generated_files" :: diag and "external_files" "export_files" "export_prefix"
  and "export_classpath"
  and "ML_file" "ML_file_debug" "ML_file_no_debug" :: thy_load % "ML"
  and "SML_file" "SML_file_debug" "SML_file_no_debug" :: thy_load % "ML"
  and "SML_import" "SML_export" "ML_export" :: thy_decl % "ML"
  and "ML_prf" :: prf_decl % "proof"  (* FIXME % "ML" ?? *)
  and "ML_val" "ML_command" :: diag % "ML"
  and "simproc_setup" :: thy_decl % "ML"
  and "setup" "local_setup" "attribute_setup" "method_setup"
    "declaration" "syntax_declaration"
    "parse_ast_translation" "parse_translation" "print_translation"
    "typed_print_translation" "print_ast_translation" "oracle" :: thy_decl % "ML"
  and "bundle" "open_bundle" :: thy_decl_block
  and "unbundle" :: thy_decl
  and "include" "including" :: prf_decl
  and "print_bundles" :: diag
  and "context" "locale" "experiment" :: thy_decl_block
  and "interpret" :: prf_goal % "proof"
  and "interpretation" "global_interpretation" "sublocale" :: thy_goal
  and "class" :: thy_decl_block
  and "subclass" :: thy_goal
  and "instantiation" :: thy_decl_block
  and "instance" :: thy_goal
  and "overloading" :: thy_decl_block
  and "opening" :: quasi_command
  and "code_datatype" :: thy_decl
  and "theorem" "lemma" "corollary" "proposition" :: thy_goal_stmt
  and "schematic_goal" :: thy_goal_stmt
  and "notepad" :: thy_decl_block
  and "have" :: prf_goal % "proof"
  and "hence" :: prf_goal % "proof"
  and "show" :: prf_asm_goal % "proof"
  and "thus" :: prf_asm_goal % "proof"
  and "then" "from" "with" :: prf_chain % "proof"
  and "note" :: prf_decl % "proof"
  and "supply" :: prf_script % "proof"
  and "using" "unfolding" :: prf_decl % "proof"
  and "fix" "assume" "presume" "define" :: prf_asm % "proof"
  and "consider" :: prf_goal % "proof"
  and "obtain" :: prf_asm_goal % "proof"
  and "let" "write" :: prf_decl % "proof"
  and "case" :: prf_asm % "proof"
  and "{" :: prf_open % "proof"
  and "}" :: prf_close % "proof"
  and "next" :: next_block % "proof"
  and "qed" :: qed_block % "proof"
  and "by" ".." "." "sorry" "🍋" :: "qed" % "proof"
  and "done" :: "qed_script" % "proof"
  and "oops" :: qed_global % "proof"
  and "defer" "prefer" "apply" :: prf_script % "proof"
  and "apply_end" :: prf_script % "proof"
  and "subgoal" :: prf_script_goal % "proof"
  and "proof" :: prf_block % "proof"
  and "also" "moreover" :: prf_decl % "proof"
  and "finally" "ultimately" :: prf_chain % "proof"
  and "back" :: prf_script % "proof"
  and "help" "print_commands" "print_options" "print_context" "print_theory"
    "print_definitions" "print_syntax" "print_abbrevs" "print_defn_rules"
    "print_theorems" "print_locales" "print_classes" "print_locale"
    "print_interps" "print_attributes"
    "print_simpset" "print_rules" "print_trans_rules" "print_methods"
    "print_antiquotations" "print_ML_antiquotations" "thy_deps"
    "locale_deps" "class_deps" "thm_deps" "thm_oracles" "print_term_bindings"
    "print_facts" "print_cases" "print_statement" "thm" "prf" "full_prf"
    "prop" "term" "typ" "print_codesetup" "print_context_tracing" "unused_thms" :: diag
  and "print_state" :: diag
  and "welcome" :: diag
  and "end" :: thy_end
  and "realizers" :: thy_decl
  and "realizability" :: thy_decl
  and "extract_type" "extract" :: thy_decl
  and "adhoc_overloading" "no_adhoc_overloading" :: thy_decl
  and "find_theorems" "find_consts" :: diag
  and "named_theorems" :: thy_decl
abbrevs "\\tag" = "✐‹tag ›"
  and "===>" = "===>" (*prevent replacement of very long arrows*)
  and "--->" = "←-→"
  and "hence" "thus" "default_sort" "simproc_setup" "apply_end" "realizers" "realizability" = ""
  and "hence" = "then have"
  and "thus" = "then show"
begin

section ‹Isar commands›

subsection ‹Other files›

ML ‹
local
  val _ =
    Outer_Syntax.command 🍋‹external_file› "formal dependency on external file"
      (Resources.provide_parse_file >> (fn get_file => Toplevel.theory (#2 o get_file)));

  val _ =
    Outer_Syntax.command 🍋‹bibtex_file› "check bibtex database file in Prover IDE"
      (Resources.provide_parse_file >> (fn get_file =>
        Toplevel.theory (fn thy =>
          let
            val ({lines, pos, ...}, thy') = get_file thy;
            val _ = Bibtex.check_database_output pos (cat_lines lines);
          in thy' end)));

  val _ =
    Outer_Syntax.command 🍋‹ROOTS_file› "session ROOTS file"
      (Resources.provide_parse_file >> (fn get_file =>
        Toplevel.theory (fn thy =>
          let
            val ({src_path, lines, pos = pos0, ...}, thy') = get_file thy;
            val ctxt = Proof_Context.init_global thy';
            val dir = Path.dir (Path.expand (Resources.master_directory thy' + src_path));
            val _ =
              (lines, pos0) |-> fold (fn line => fn pos1 =>
                let
                  val pos2 = Position.symbol_explode line pos1;
                  val range = Position.range (pos1, pos2);
                  val source = Input.source true line range;
                  val _ =
                    if line = "  then ()
 else if String.isPrefix "#" line then
 Context_Position.report ctxt (#1 range) Markup.comment
 else
 (ignore (Resources.check_session_dir ctxt (SOME dir) source)
 handle ERROR msg => Output.error_message msg);
 in pos2 |> Position.symbol "\n" end);
 in thy' end)));

 val _ =
 Outer_Syntax.local_theory 🍋‹generate_file›
 "generate source file, with antiquotations"
 (Parse.path_binding -- (🍋‹=› |-- Parse.embedded_input)
 >> Generated_Files.generate_file_cmd);


 val files_in_theory =
 (Parse.underscore >> K [] || Scan.repeat1 Parse.path_binding) --
 Scan.option (🍋‹(› |-- Parse.!!! (🍋‹in› |-- Parse.theory_name --| 🍋‹)›));

 val _ =
 Outer_Syntax.command 🍋‹export_generated_files›
 "export generated files from given theories"
 (Parse.and_list1 files_in_theory >> (fn args =>
 Toplevel.keep (fn st =>
 Generated_Files.export_generated_files_cmd (Toplevel.context_of st) args)));


 val base_dir =
 Scan.optional (🍋‹(› |--
 Parse.!!! (🍋‹in› |-- Parse.path_input --| 🍋‹)›)) (Input.string "");

 val external_files = Scan.repeat1 Parse.path_input -- base_dir;

 val exe = Parse.reserved "exe" >> K true || Parse.reserved "executable" >> K false;
 val executable = 🍋‹(› |-- Parse.!!! (exe --| 🍋‹)›) >> SOME || Scan.succeed NONE;

 val export_files = Scan.repeat1 Parse.path_binding -- executable;

 val _ =
 Outer_Syntax.command 🍋‹compile_generated_files›
 "compile generated files and export results"
 (Parse.and_list files_in_theory --
 Scan.optional (🍋‹external_files› |-- Parse.!!! (Parse.and_list1 external_files)) [] --
 Scan.optional (🍋‹export_files› |-- Parse.!!! (Parse.and_list1 export_files)) [] --
 Scan.optional (🍋‹export_prefix› |-- Parse.path_binding) ("", Position.none) --
 (Parse.where_ |-- Parse.!!! Parse.ML_source)
 >> (fn ((((args, external), export), export_prefix), source) =>
 Toplevel.keep (fn st =>
 Generated_Files.compile_generated_files_cmd
 (Toplevel.context_of st) args external export export_prefix source)));

 val _ =
 Outer_Syntax.command 🍋‹scala_build_generated_files›
 "build and export Isabelle/Scala/Java module"
 (Parse.and_list files_in_theory --
 Scan.optional (🍋‹external_files› |-- Parse.!!! (Parse.and_list1 external_files)) []
 >> (fn (args, external) =>
 Toplevel.keep (fn st =>
 Generated_Files.scala_build_generated_files_cmd
 (Toplevel.context_of st) args external)));
  end›

external_file ‹ROOT0.ML›
external_file ‹ROOT.ML›


subsection ‹Embedded ML text›

ML ‹
 

  semi = Scan.option 🍋‹;›;

  _ =
 Outer_Syntax.command 🍋‹ML_file› "read and evaluate Isabelle/ML file"
 (Resources.parse_file --| semi >> ML_File.ML NONE);

  _ =
 Outer_Syntax.command 🍋‹ML_file_debug›
 "read and evaluate Isabelle/ML file (with debugger information)"
 (Resources.parse_file --| semi >> ML_File.ML (SOME true));

  _ =
 Outer_Syntax.command 🍋‹ML_file_no_debug›
 "read and evaluate Isabelle/ML file (no debugger information)"
 (Resources.parse_file --| semi >> ML_File.ML (SOME false));

  _ =
 Outer_Syntax.command 🍋‹SML_file› "read and evaluate Standard ML file"
 (Resources.parse_file --| semi >> ML_File.SML NONE);

  _ =
 Outer_Syntax.command 🍋‹SML_file_debug›
 "read and evaluate Standard ML file (with debugger information)"
 (Resources.parse_file --| semi >> ML_File.SML (SOME true));

  _ =
 Outer_Syntax.command 🍋‹SML_file_no_debug›
 "read and evaluate Standard ML file (no debugger information)"
 (Resources.parse_file --| semi >> ML_File.SML (SOME false));

  _ =
 Outer_Syntax.command 🍋‹SML_export› "evaluate SML within Isabelle/ML environment"
 (Parse.ML_source >> (fn source =>
 let
 val flags: ML_Compiler.flags =
 {environment = ML_Env.SML_export, redirect = false, verbose = true, catch_all = true,
 debug = NONE, writeln = writeln, warning = warning};
 in
 Toplevel.theory
 (Context.theory_map (ML_Context.exec (fn () => ML_Context.eval_source flags source)))
 end));

  _ =
 Outer_Syntax.command 🍋‹SML_import› "evaluate Isabelle/ML within SML environment"
 (Parse.ML_source >> (fn source =>
 let
 val flags: ML_Compiler.flags =
 {environment = ML_Env.SML_import, redirect = false, verbose = true, catch_all = true,
 debug = NONE, writeln = writeln, warning = warning};
 in
 Toplevel.generic_theory
 (ML_Context.exec (fn () => ML_Context.eval_source flags source) #>
 Local_Theory.propagate_ml_env)
 end));

  _ =
 Outer_Syntax.command ("ML_export", 🍋)
 "ML text within theory or local theory, and export to bootstrap environment"
 (Parse.ML_source >> (fn source =>
 Toplevel.generic_theory (fn context =>
 context
 |> Config.put_generic ML_Env.ML_environment ML_Env.Isabelle
 |> Config.put_generic ML_Env.ML_write_global true
 |> ML_Context.exec (fn () =>
 ML_Context.eval_source (ML_Compiler.verbose true ML_Compiler.flags) source)
 |> Config.restore_generic ML_Env.ML_write_global context
 |> Config.restore_generic ML_Env.ML_environment context
 |> Local_Theory.propagate_ml_env)));

  _ =
 Outer_Syntax.command 🍋‹ML_prf› "ML text within proof"
 (Parse.ML_source >> (fn source =>
 Toplevel.proof (Proof.map_context (Context.proof_map
 (ML_Context.exec (fn () =>
 ML_Context.eval_source (ML_Compiler.verbose true ML_Compiler.flags) source))) #>
 Proof.propagate_ml_env)));

  _ =
 Outer_Syntax.command 🍋‹ML_val› "diagnostic ML text"
 (Parse.ML_source >> Isar_Cmd.ml_diag true);

  _ =
 Outer_Syntax.command 🍋‹ML_command› "diagnostic ML text (silent)"
 (Parse.ML_source >> Isar_Cmd.ml_diag false);

  _ =
 Outer_Syntax.command 🍋‹setup› "ML setup for global theory"
 (Parse.ML_source >> (Toplevel.theory o Isar_Cmd.setup));

  _ =
 Outer_Syntax.local_theory 🍋‹local_setup› "ML setup for local theory"
 (Parse.ML_source >> Isar_Cmd.local_setup);

  _ =
 Outer_Syntax.command 🍋‹oracle› "declare oracle"
 (Parse.range Parse.name -- Parse.!!! (🍋‹=› |-- Parse.ML_source) >>
 (fn (x, y) => Toplevel.theory (Isar_Cmd.oracle x y)));

  _ =
 Outer_Syntax.local_theory 🍋‹attribute_setup› "define attribute in ML"
 (Parse.name_position --
 Parse.!!! (🍋‹=› |-- Parse.ML_source -- Scan.optional Parse.embedded "")
 >> (fn (name, (txt, cmt)) => Attrib.attribute_setup name txt cmt));

  _ =
 Outer_Syntax.local_theory 🍋‹method_setup› "define proof method in ML"
 (Parse.name_position --
 Parse.!!! (🍋‹=› |-- Parse.ML_source -- Scan.optional Parse.embedded "")
 >> (fn (name, (txt, cmt)) => Method.method_setup name txt cmt));

  _ =
 Outer_Syntax.local_theory 🍋‹declaration› "generic ML declaration"
 (Parse.opt_keyword "pervasive" -- Parse.ML_source
 >> (fn (pervasive, txt) => Isar_Cmd.declaration {syntax = false, pervasive = pervasive} txt));

  _ =
 Outer_Syntax.local_theory 🍋‹syntax_declaration› "generic ML syntax declaration"
 (Parse.opt_keyword "pervasive" -- Parse.ML_source
 >> (fn (pervasive, txt) => Isar_Cmd.declaration {syntax = true, pervasive = pervasive} txt));

  _ =
 Outer_Syntax.local_theory 🍋‹simproc_setup› "define simproc in ML"
 Simplifier.simproc_setup_command;

  end›


subsection ‹Theory commands›

subsubsection ‹Sorts and types›

ML ‹
 

  _ =
 Outer_Syntax.local_theory 🍋‹default_sort›
 "declare default sort for explicit type variables"
 (Parse.sort >> (fn s => fn lthy => Local_Theory.set_defsort (Syntax.read_sort lthy s) lthy));

  _ =
 Outer_Syntax.local_theory 🍋‹typedecl› "type declaration"
 (Parse.type_args -- Parse.binding -- Parse.opt_mixfix
 >> (fn ((args, a), mx) =>
 Typedecl.typedecl {final = true} (a, map (rpair dummyS) args, mx) #> snd));

  _ =
 Outer_Syntax.local_theory 🍋‹type_synonym› "declare type abbreviation"
 (Parse.type_args -- Parse.binding --
 (🍋‹=› |-- Parse.!!! (Parse.typ -- Parse.opt_mixfix'))
 >> (fn ((args, a), (rhs, mx)) => snd o Typedecl.abbrev_cmd (a, args, mx) rhs));

  end›


subsubsection ‹Consts›

ML ‹
 

  _ =
 Outer_Syntax.command 🍋‹judgment› "declare object-logic judgment"
 (Parse.const_binding >> (Toplevel.theory o Object_Logic.add_judgment_cmd));

  _ =
 Outer_Syntax.command 🍋‹consts› "declare constants"
 (Scan.repeat1 Parse.const_binding >> (Toplevel.theory o Sign.add_consts_cmd));

  end›


subsubsection ‹Syntax and translations›

ML ‹
 

  _ =
 Outer_Syntax.command 🍋‹nonterminal›
 "declare syntactic type constructors (grammar nonterminal symbols)"
 (Parse.and_list1 Parse.binding >> (Toplevel.theory o Sign.add_nonterminals_global));

  _ =
 Outer_Syntax.local_theory 🍋‹syntax› "add raw syntax clauses"
 (Parse.syntax_mode -- Scan.repeat1 Parse.const_decl
 >> uncurry (Local_Theory.syntax_cmd true));

  _ =
 Outer_Syntax.local_theory 🍋‹no_syntax› "delete raw syntax clauses"
 (Parse.syntax_mode -- Scan.repeat1 Parse.const_decl
 >> uncurry (Local_Theory.syntax_cmd false));

  syntax_consts =
 Parse.and_list1
 ((Scan.repeat1 Parse.name_position --| (🍋‹⇌› || 🍋‹==›)) --
 Parse.!!! (Scan.repeat1 Parse.name_position));

  _ =
 Outer_Syntax.local_theory 🍋‹syntax_consts› "declare syntax const dependencies"
 (syntax_consts >> Isar_Cmd.syntax_consts);

  _ =
 Outer_Syntax.local_theory 🍋‹syntax_types› "declare syntax const dependencies (type names)"
 (syntax_consts >> Isar_Cmd.syntax_types);

  trans_pat =
 Scan.optional
 (🍋‹(› |-- Parse.!!! (Parse.inner_syntax Parse.name --| 🍋‹)›)) "logic"
 -- Parse.inner_syntax Parse.string;

  trans_arrow toks =
 ((🍋‹⇀› || 🍋‹=>›) >> K Syntax.Parse_Rule ||
 (🍋‹↽› || 🍋‹<=\›) >> K Syntax.Print_Rule ||
 (🍋‹⇌› || 🍋‹==›) >> K Syntax.Parse_Print_Rule) toks;

  trans_line =
 trans_pat -- Parse.!!! (trans_arrow -- trans_pat)
 >> (fn (left, (arr, right)) => arr (left, right));

  _ =
 Outer_Syntax.local_theory 🍋‹translations› "add syntax translation rules"
 (Scan.repeat1 trans_line >> Local_Theory.translations_cmd true);

  _ =
 Outer_Syntax.local_theory 🍋‹no_translations› "delete syntax translation rules"
 (Scan.repeat1 trans_line >> Local_Theory.translations_cmd false);

  end›


subsubsection ‹Translation functions›

ML ‹
 

  _ =
 Outer_Syntax.command 🍋‹parse_ast_translation›
 "install parse ast translation functions"
 (Parse.ML_source >> (Toplevel.theory o Isar_Cmd.parse_ast_translation));

  _ =
 Outer_Syntax.command 🍋‹parse_translation›
 "install parse translation functions"
 (Parse.ML_source >> (Toplevel.theory o Isar_Cmd.parse_translation));

  _ =
 Outer_Syntax.command 🍋‹print_translation›
 "install print translation functions"
 (Parse.ML_source >> (Toplevel.theory o Isar_Cmd.print_translation));

  _ =
 Outer_Syntax.command 🍋‹typed_print_translation›
 "install typed print translation functions"
 (Parse.ML_source >> (Toplevel.theory o Isar_Cmd.typed_print_translation));

  _ =
 Outer_Syntax.command 🍋‹print_ast_translation›
 "install print ast translation functions"
 (Parse.ML_source >> (Toplevel.theory o Isar_Cmd.print_ast_translation));

  end›


subsubsection ‹Specifications›

ML ‹
 

  _ =
 Outer_Syntax.local_theory' 🍋‹definition› "constant definition"
 (Scan.option Parse_Spec.constdecl -- (Parse_Spec.opt_thm_name ":" -- Parse.prop) --
 Parse_Spec.if_assumes -- Parse.for_fixes >> (fn (((decl, spec), prems), params) =>
 #2 oo Specification.definition_cmd decl params prems spec));

  _ =
 Outer_Syntax.local_theory' 🍋‹abbreviation› "constant abbreviation"
 (Parse.syntax_mode -- Scan.option Parse_Spec.constdecl -- Parse.prop -- Parse.for_fixes
 >> (fn (((mode, decl), spec), params) => Specification.abbreviation_cmd mode decl params spec));

  axiomatization =
 Parse.and_list1 (Parse_Spec.thm_name ":" -- Parse.prop) --
 Parse_Spec.if_assumes -- Parse.for_fixes >> (fn ((a, b), c) => (c, b, a));

  _ =
 Outer_Syntax.command 🍋‹axiomatization› "axiomatic constant specification"
 (Scan.optional Parse.vars [] --
 Scan.optional (Parse.where_ |-- Parse.!!! axiomatization) ([], [], [])
 >> (fn (a, (b, c, d)) => Toplevel.theory (#2 o Specification.axiomatization_cmd a b c d)));

  _ =
 Outer_Syntax.local_theory 🍋‹alias› "name-space alias for constant"
 (Parse.binding -- (Parse.!!! 🍋‹=› |-- Parse.name_position)
 >> Specification.alias_cmd);

  _ =
 Outer_Syntax.local_theory 🍋‹type_alias› "name-space alias for type constructor"
 (Parse.binding -- (Parse.!!! 🍋‹=› |-- Parse.name_position)
 >> Specification.type_alias_cmd);

  end›


subsubsection ‹Notation›

ML ‹
 

  _ =
 Outer_Syntax.local_theory 🍋‹type_notation›
 "add concrete syntax for type constructors"
 (Parse.syntax_mode -- Parse.and_list1 (Parse.type_const -- Parse.mixfix)
 >> (fn (mode, args) => Local_Theory.type_notation_cmd true mode args));

  _ =
 Outer_Syntax.local_theory 🍋‹no_type_notation›
 "delete concrete syntax for type constructors"
 (Parse.syntax_mode -- Parse.and_list1 (Parse.type_const -- Parse.mixfix)
 >> (fn (mode, args) => Local_Theory.type_notation_cmd false mode args));

  _ =
 Outer_Syntax.local_theory 🍋‹notation›
 "add concrete syntax for constants / fixed variables"
 (Parse.syntax_mode -- Parse.and_list1 (Parse.const -- Parse.mixfix)
 >> (fn (mode, args) => Local_Theory.notation_cmd true mode args));

  _ =
 Outer_Syntax.local_theory 🍋‹no_notation›
 "delete concrete syntax for constants / fixed variables"
 (Parse.syntax_mode -- Parse.and_list1 (Parse.const -- Parse.mixfix)
 >> (fn (mode, args) => Local_Theory.notation_cmd false mode args));

  end›


subsubsection ‹Theorems›

ML ‹
 

  long_keyword =
 Parse_Spec.includes >> K "" ||
 Parse_Spec.long_statement_keyword;

  long_statement =
 Scan.optional (Parse_Spec.opt_thm_name ":" --| Scan.ahead long_keyword) Binding.empty_atts --
 Scan.optional Parse_Spec.includes [] -- Parse_Spec.long_statement
 >> (fn ((binding, includes), (elems, concl)) => (true, binding, includes, elems, concl));

  short_statement =
 Parse_Spec.statement -- Parse_Spec.if_statement -- Parse.for_fixes
 >> (fn ((shows, assumes), fixes) =>
 (false, Binding.empty_atts, [], [Element.Fixes fixes, Element.Assumes assumes],
 Element.Shows shows));

  theorem spec schematic descr =
 Outer_Syntax.local_theory_to_proof' spec ("state " ^ descr)
 ((long_statement || short_statement) >> (fn (long, binding, includes, elems, concl) =>
 ((if schematic then Specification.schematic_theorem_cmd else Specification.theorem_cmd)
 long Thm.theoremK NONE (K I) binding includes elems concl)));

  _ = theorem 🍋‹theorem› false "theorem";
  _ = theorem 🍋‹lemma› false "lemma";
  _ = theorem 🍋‹corollary› false "corollary";
  _ = theorem 🍋‹proposition› false "proposition";
  _ = theorem 🍋‹schematic_goal› true "schematic goal";

  end›

ML ‹
 

  _ =
 Outer_Syntax.local_theory' 🍋‹lemmas› "define theorems"
 (Parse_Spec.name_facts -- Parse.for_fixes >>
 (fn (facts, fixes) => #2 oo Specification.theorems_cmd Thm.theoremK facts fixes));

  _ =
 Outer_Syntax.local_theory' 🍋‹declare› "declare theorems"
 (Parse.and_list1 Parse.thms1 -- Parse.for_fixes
 >> (fn (facts, fixes) =>
 #2 oo Specification.theorems_cmd "" [(Binding.empty_atts, flat facts)] fixes));

  _ =
 Outer_Syntax.local_theory 🍋‹named_theorems›
 "declare named collection of theorems"
 (Parse.and_list1 (Parse.binding -- Scan.optional Parse.embedded "") >>
 fold (fn (b, descr) => snd o Named_Theorems.declare b descr));

  end›


subsubsection ‹Hide names›

ML ‹
 

  hide_names command_keyword what hide parse prep =
 Outer_Syntax.command command_keyword ("hide " ^ what ^ " from name space")
 ((Parse.opt_keyword "open" >> not) -- Scan.repeat1 parse >> (fn (fully, args) =>
 (Toplevel.theory (fn thy =>
 let val ctxt = Proof_Context.init_global thy
 in fold (hide fully o prep ctxt) args thy end))));

  _ =
 hide_names 🍋‹hide_class› "classes" Sign.hide_class Parse.class
 Proof_Context.read_class;

  _ =
 hide_names 🍋‹hide_type› "types" Sign.hide_type Parse.type_const
 (dest_Type_name oo Proof_Context.read_type_name {proper = true, strict = false});

  _ =
 hide_names 🍋‹hide_const› "consts" Sign.hide_const Parse.const
 (dest_Const_name oo Proof_Context.read_const {proper = true, strict = false});

  _ =
 hide_names 🍋‹hide_fact› "facts" Global_Theory.hide_fact
 Parse.name_position (Global_Theory.check_fact o Proof_Context.theory_of);

  end›


subsection ‹Bundled declarations›

ML ‹
 

  bundle_cmd open_bundle =
 (Parse.binding --| 🍋‹=›) -- Parse.thms1 -- Parse.for_fixes
 >> (uncurry (Bundle.bundle_cmd {open_bundle = open_bundle}));

  bundle_begin open_bundle =
 Parse.binding --| Parse.begin >> Bundle.init {open_bundle = open_bundle};

  _ =
 Outer_Syntax.maybe_begin_local_theory 🍋‹bundle›
 "define bundle of declarations" (bundle_cmd false) (bundle_begin false);

  _ =
 Outer_Syntax.maybe_begin_local_theory 🍋‹open_bundle›
 "define and open bundle of declarations" (bundle_cmd true) (bundle_begin true);

  _ =
 Outer_Syntax.local_theory 🍋‹unbundle›
 "open bundle in local theory" (Parse_Spec.bundles >> Bundle.unbundle_cmd);

  _ =
 Outer_Syntax.command 🍋‹include›
 "open bundle in proof body" (Parse_Spec.bundles >> (Toplevel.proof o Bundle.include_cmd));

  _ =
 Outer_Syntax.command 🍋‹including›
 "open bundle in goal refinement" (Parse_Spec.bundles >> (Toplevel.proof o Bundle.including_cmd));

  _ =
 Outer_Syntax.command 🍋‹print_bundles›
 "print bundles of declarations"
 (Parse.opt_bang >> (fn b => Toplevel.keep (Bundle.print_bundles b o Toplevel.context_of)));

  end›


subsection ‹Local theory specifications›

subsubsection ‹Specification context›

ML ‹
 

  _ =
 Outer_Syntax.command 🍋‹context› "begin local theory context"
 (((Parse.name_position -- Scan.optional Parse_Spec.opening [])
 >> (fn (name, incls) => Toplevel.begin_main_target true (Target_Context.context_begin_named_cmd incls name)) ||
 Scan.optional Parse_Spec.includes [] -- Scan.repeat Parse_Spec.context_element
 >> (fn (incls, elems) => Toplevel.begin_nested_target (Target_Context.context_begin_nested_cmd incls elems)))
 --| Parse.begin);

  _ =
 Outer_Syntax.command 🍋‹end› "end context"
 (Scan.succeed
 (Toplevel.exit o Toplevel.end_main_target o Toplevel.end_nested_target o
 Toplevel.end_proof (K Proof.end_notepad)));

  end›


subsubsection ‹Locales and interpretation›

ML ‹
 

  locale_context_elements =
 Scan.repeat1 Parse_Spec.context_element;

  locale_val =
 ((Parse_Spec.locale_expression -- Scan.optional Parse_Spec.opening [])
 || Parse_Spec.opening >> pair ([], []))
 -- Scan.optional (🍋‹+› |-- Parse.!!! locale_context_elements) []
 || locale_context_elements >> pair (([], []), []);

  _ =
 Outer_Syntax.command 🍋‹locale› "define named specification context"
 (Parse.binding --
 Scan.optional (🍋‹=› |-- Parse.!!! locale_val) ((([], []), []), []) -- Parse.opt_begin
 >> (fn ((name, ((expr, includes), elems)), begin) =>
 Toplevel.begin_main_target begin
 (Expression.add_locale_cmd name Binding.empty includes expr elems #> snd)));

  _ =
 Outer_Syntax.command 🍋‹experiment› "open private specification context"
 (Scan.repeat Parse_Spec.context_element --| Parse.begin
 >> (fn elems =>
 Toplevel.begin_main_target true (Experiment.experiment_cmd elems #> snd)));

  _ =
 Outer_Syntax.command 🍋‹interpret›
 "prove interpretation of locale expression in proof context"
 (Parse.!!! Parse_Spec.locale_expression >> (fn expr =>
 Toplevel.proof (Interpretation.interpret_cmd expr)));

  interpretation_args_with_defs =
 Parse.!!! Parse_Spec.locale_expression --
 (Scan.optional (🍋‹defines› |-- Parse.and_list1 (Parse_Spec.opt_thm_name ":"
 -- ((Parse.binding -- Parse.opt_mixfix') --| 🍋‹=› -- Parse.term))) ([]));

  _ =
 Outer_Syntax.local_theory_to_proof 🍋‹global_interpretation›
 "prove interpretation of locale expression into global theory"
 (interpretation_args_with_defs >> (fn (expr, defs) =>
 Interpretation.global_interpretation_cmd expr defs));

  _ =
 Outer_Syntax.command 🍋‹sublocale›
 "prove sublocale relation between a locale and a locale expression"
 ((Parse.name_position --| (🍋‹⊆› || 🍋‹<\<close>) --
 interpretation_args_with_defs >> (fn (loc, (expr, defs)) =>
 Toplevel.theory_to_proof (Interpretation.global_sublocale_cmd loc expr defs)))
 || interpretation_args_with_defs >> (fn (expr, defs) =>
 Toplevel.local_theory_to_proof NONE NONE (Interpretation.sublocale_cmd expr defs)));

  _ =
 Outer_Syntax.command 🍋‹interpretation›
 "prove interpretation of locale expression in local theory or into global theory"
 (Parse.!!! Parse_Spec.locale_expression >> (fn expr =>
 Toplevel.local_theory_to_proof NONE NONE
 (Interpretation.isar_interpretation_cmd expr)));

  end›


  ‹Type classes›

  ‹
 

  class_context_elements =
 Scan.repeat1 Parse_Spec.context_element;

  class_val =
 ((Parse_Spec.class_expression -- Scan.optional Parse_Spec.opening [])
 || Parse_Spec.opening >> pair [])
 -- Scan.optional (🍋‹+› |-- Parse.!!! class_context_elements) [] ||
 class_context_elements >> pair ([], []);

  _ =
 Outer_Syntax.command 🍋‹class› "define type class"
 (Parse.binding -- Scan.optional (🍋‹=› |-- class_val) (([], []), []) -- Parse.opt_begin
 >> (fn ((name, ((supclasses, includes), elems)), begin) =>
 Toplevel.begin_main_target begin
 (Class_Declaration.class_cmd name includes supclasses elems #> snd)));

  _ =
 Outer_Syntax.local_theory_to_proof 🍋‹subclass› "prove a subclass relation"
 (Parse.class >> Class_Declaration.subclass_cmd);

  _ =
 Outer_Syntax.command 🍋‹instantiation› "instantiate and prove type arity"
 (Parse.multi_arity --| Parse.begin
 >> (fn arities => Toplevel.begin_main_target true (Class.instantiation_cmd arities)));

  _ =
 Outer_Syntax.command 🍋‹instance› "prove type arity or subclass relation"
 ((Parse.class --
 ((🍋‹⊆› || 🍋‹<\<close>) |-- Parse.!!! Parse.class) >> Class.classrel_cmd ||
 Parse.multi_arity >> Class.instance_arity_cmd) >> Toplevel.theory_to_proof ||
 Scan.succeed (Toplevel.local_theory_to_proof NONE NONE (Class.instantiation_instance I)));

  end›


  ‹Arbitrary overloading›

  ‹
 

  _ =
 Outer_Syntax.command 🍋‹overloading› "overloaded definitions"
 (Scan.repeat1 (Parse.name --| (🍋‹==› || 🍋‹≡›) -- Parse.term --
 Scan.optional (🍋‹(› |-- (🍋‹unchecked› >> K false) --| 🍋‹)›) true
 >> Scan.triple1) --| Parse.begin
 >> (fn operations => Toplevel.begin_main_target true (Overloading.overloading_cmd operations)));

  end›


  ‹Proof commands›

  ‹
 

  _ =
 Outer_Syntax.local_theory_to_proof 🍋‹notepad› "begin proof context"
 (Parse.begin >> K Proof.begin_notepad);

  end›


  ‹Statements›

  ‹
 

  structured_statement =
 Parse_Spec.statement -- Parse_Spec.cond_statement -- Parse.for_fixes
 >> (fn ((shows, (strict, assumes)), fixes) => (strict, fixes, assumes, shows));

  _ =
 Outer_Syntax.command 🍋‹have› "state local goal"
 (structured_statement >> (fn (a, b, c, d) =>
 Toplevel.proof' (fn int => Proof.have_cmd a NONE (K I) b c d int #> #2)));

  _ =
 Outer_Syntax.command 🍋‹show› "state local goal, to refine pending subgoals"
 (structured_statement >> (fn (a, b, c, d) =>
 Toplevel.proof' (fn int => Proof.show_cmd a NONE (K I) b c d int #> #2)));

  _ =
 Outer_Syntax.command 🍋‹hence› "old-style alias of \"then have\""
 (structured_statement >> (fn (a, b, c, d) =>
 Toplevel.proof' (fn int => Proof.chain #> Proof.have_cmd a NONE (K I) b c d int #> #2)));

  _ =
 Outer_Syntax.command 🍋‹thus› "old-style alias of \"then show\""
 (structured_statement >> (fn (a, b, c, d) =>
 Toplevel.proof' (fn int => Proof.chain #> Proof.show_cmd a NONE (K I) b c d int #> #2)));

  end›


  ‹Local facts›

  ‹
 

  facts = Parse.and_list1 Parse.thms1;

  _ =
 Outer_Syntax.command 🍋‹then› "forward chaining"
 (Scan.succeed (Toplevel.proof Proof.chain));

  _ =
 Outer_Syntax.command 🍋‹from› "forward chaining from given facts"
 (facts >> (Toplevel.proof o Proof.from_thmss_cmd));

  _ =
 Outer_Syntax.command 🍋‹with› "forward chaining from given and current facts"
 (facts >> (Toplevel.proof o Proof.with_thmss_cmd));

  _ =
 Outer_Syntax.command 🍋‹note› "define facts"
 (Parse_Spec.name_facts >> (Toplevel.proof o Proof.note_thmss_cmd));

  _ =
 Outer_Syntax.command 🍋‹supply› "define facts during goal refinement (unstructured)"
 (Parse_Spec.name_facts >> (Toplevel.proof o Proof.supply_cmd));

  _ =
 Outer_Syntax.command 🍋‹using› "augment goal facts"
 (facts >> (Toplevel.proof o Proof.using_cmd));

  _ =
 Outer_Syntax.command 🍋‹unfolding› "unfold definitions in goal and facts"
 (facts >> (Toplevel.proof o Proof.unfolding_cmd));

  end›


  ‹Proof context›

  ‹
 

  structured_statement =
 Parse_Spec.statement -- Parse_Spec.if_statement' -- Parse.for_fixes
 >> (fn ((shows, assumes), fixes) => (fixes, assumes, shows));

  _ =
 Outer_Syntax.command 🍋‹fix› "fix local variables (Skolem constants)"
 (Parse.vars >> (Toplevel.proof o Proof.fix_cmd));

  _ =
 Outer_Syntax.command 🍋‹assume› "assume propositions"
 (structured_statement >> (fn (a, b, c) => Toplevel.proof (Proof.assume_cmd a b c)));

  _ =
 Outer_Syntax.command 🍋‹presume› "assume propositions, to be established later"
 (structured_statement >> (fn (a, b, c) => Toplevel.proof (Proof.presume_cmd a b c)));

  _ =
 Outer_Syntax.command 🍋‹define› "local definition (non-polymorphic)"
 ((Parse.vars --| Parse.where_) -- Parse_Spec.statement -- Parse.for_fixes
 >> (fn ((a, b), c) => Toplevel.proof (Proof.define_cmd a c b)));

  _ =
 Outer_Syntax.command 🍋‹consider› "state cases rule"
 (Parse_Spec.obtains >> (Toplevel.proof' o Obtain.consider_cmd));

  _ =
 Outer_Syntax.command 🍋‹obtain› "generalized elimination"
 (Parse.parbinding -- Scan.optional (Parse.vars --| Parse.where_) [] -- structured_statement
 >> (fn ((a, b), (c, d, e)) => Toplevel.proof' (Obtain.obtain_cmd a b c d e)));

  _ =
 Outer_Syntax.command 🍋‹let› "bind text variables"
 (Parse.and_list1 (Parse.and_list1 Parse.term -- (🍋‹=› |-- Parse.term))
 >> (Toplevel.proof o Proof.let_bind_cmd));

  _ =
 Outer_Syntax.command 🍋‹write› "add concrete syntax for constants / fixed variables"
 (Parse.syntax_mode -- Parse.and_list1 (Parse.const -- Parse.mixfix)
 >> (fn (mode, args) => Toplevel.proof (Proof.write_cmd mode args)));

  _ =
 Outer_Syntax.command 🍋‹case› "invoke local context"
 (Parse_Spec.opt_thm_name ":" --
 (🍋‹(› |-- Parse.!!! (Parse.name_position -- Scan.repeat (Parse.maybe Parse.binding)
 --| 🍋‹)›) ||
 Parse.name_position >> rpair []) >> (Toplevel.proof o Proof.case_cmd));

  end›


  ‹Proof structure›

  ‹
 

  _ =
 Outer_Syntax.command 🍋‹{› "begin explicit proof block"
 (Scan.succeed (Toplevel.proof Proof.begin_block));

  _ =
 Outer_Syntax.command 🍋‹}› "end explicit proof block"
 (Scan.succeed (Toplevel.proof Proof.end_block));

  _ =
 Outer_Syntax.command 🍋‹next› "enter next proof block"
 (Scan.succeed (Toplevel.proof Proof.next_block));

  end›


  ‹End proof›

  ‹
 

  _ =
 Outer_Syntax.command 🍋‹qed› "conclude proof"
 (Scan.option Method.parse >> (fn m =>
 (Option.map Method.report m;
 Isar_Cmd.qed m)));

  _ =
 Outer_Syntax.command 🍋‹by› "terminal backward proof"
 (Method.parse -- Scan.option Method.parse >> (fn (m1, m2) =>
 (Method.report m1;
 Option.map Method.report m2;
 Isar_Cmd.terminal_proof (m1, m2))));

  _ =
 Outer_Syntax.command 🍋‹..› "default proof"
 (Scan.succeed Isar_Cmd.default_proof);

  _ =
 Outer_Syntax.command 🍋‹.› "immediate proof"
 (Scan.succeed Isar_Cmd.immediate_proof);

  _ =
 Outer_Syntax.command 🍋‹done› "done proof"
 (Scan.succeed Isar_Cmd.done_proof);

  _ =
 Outer_Syntax.command 🍋‹sorry› "skip proof (quick-and-dirty mode only!)"
 (Scan.succeed Isar_Cmd.skip_proof);

  _ =
 Outer_Syntax.command 🍋‹🍋› "dummy proof (quick-and-dirty mode only!)"
 (Scan.succeed Isar_Cmd.skip_proof);

  _ =
 Outer_Syntax.command 🍋‹oops› "forget proof"
 (Scan.succeed Toplevel.forget_proof);

  end›


  ‹Proof steps›

  ‹
 

  _ =
 Outer_Syntax.command 🍋‹defer› "shuffle internal proof state"
 (Scan.optional Parse.nat 1 >> (Toplevel.proof o Proof.defer));

  _ =
 Outer_Syntax.command 🍋‹prefer› "shuffle internal proof state"
 (Parse.nat >> (Toplevel.proof o Proof.prefer));

  _ =
 Outer_Syntax.command 🍋‹apply› "initial goal refinement step (unstructured)"
 (Method.parse >> (fn m => (Method.report m; Toplevel.proofs (Proof.apply m))));

  _ =
 Outer_Syntax.command 🍋‹apply_end› "terminal goal refinement step (unstructured)"
 (Method.parse >> (fn m => (Method.report m; Toplevel.proofs (Proof.apply_end m))));

  _ =
 Outer_Syntax.command 🍋‹proof› "backward proof step"
 (Scan.option Method.parse >> (fn m =>
 (Option.map Method.report m;
 Toplevel.proof (fn state =>
 let
 val state' = state |> Proof.proof m |> Seq.the_result "";
 val _ =
 Output.information
 (Proof_Context.print_cases_proof (Proof.context_of state) (Proof.context_of state'));
 in state' end))))

  end›


  ‹Subgoal focus›

  ‹
 

  opt_fact_binding =
 Scan.optional (Parse.binding -- Parse.opt_attribs || Parse.attribs >> pair Binding.empty)
 Binding.empty_atts;

  for_params =
 Scan.optional
 (🍋‹for› |--
 Parse.!!! ((Scan.option Parse.dots >> is_some) --
 (Scan.repeat1 (Parse.maybe_position Parse.name_position))))
 (false, []);

  _ =
 Outer_Syntax.command 🍋‹subgoal›
 "focus on first subgoal within backward refinement"
 (opt_fact_binding -- (Scan.option (🍋‹premises› |-- Parse.!!! opt_fact_binding)) --
 for_params >> (fn ((a, b), c) =>
 Toplevel.proofs (Seq.make_results o Seq.single o #2 o Subgoal.subgoal_cmd a b c)));

  end›


  ‹Calculation›

  ‹
 

  calculation_args =
 Scan.option (🍋‹(› |-- Parse.!!! ((Parse.thms1 --| 🍋‹)›)));

  _ =
 Outer_Syntax.command 🍋‹also› "combine calculation and current facts"
 (calculation_args >> (Toplevel.proofs' o Calculation.also_cmd));

  _ =
 Outer_Syntax.command 🍋‹finally›
 "combine calculation and current facts, exhibit result"
 (calculation_args >> (Toplevel.proofs' o Calculation.finally_cmd));

  _ =
 Outer_Syntax.command 🍋‹moreover› "augment calculation by current facts"
 (Scan.succeed (Toplevel.proof' Calculation.moreover));

  _ =
 Outer_Syntax.command 🍋‹ultimately›
 "augment calculation by current facts, exhibit result"
 (Scan.succeed (Toplevel.proof' Calculation.ultimately));

  _ =
 Outer_Syntax.command 🍋‹print_trans_rules› "print transitivity rules"
 (Scan.succeed (Toplevel.keep (Calculation.print_rules o Toplevel.context_of)));

  end›


  ‹Proof navigation›

  ‹
 

  report_back () =
 Output.report [Markup.markup (Markup.bad ()) "Explicit backtracking"];

  _ =
 Outer_Syntax.command 🍋‹back› "explicit backtracking of proof command"
 (Scan.succeed
 (Toplevel.actual_proof (fn prf => (report_back (); Proof_Node.back prf)) o
 Toplevel.skip_proof report_back));

  end›


  ‹Diagnostic commands (for interactive mode only)›

  ‹
 

  opt_modes =
 Scan.optional (🍋‹(› |-- Parse.!!! (Scan.repeat1 Parse.name --| 🍋‹)›)) [];

  _ =
 Outer_Syntax.command 🍋‹help›
 "retrieve outer syntax commands according to name patterns"
 (Scan.repeat Parse.name >>
 (fn pats => Toplevel.keep (fn st => Outer_Syntax.help (Toplevel.theory_of st) pats)));

  _ =
 Outer_Syntax.command 🍋‹print_commands› "print outer syntax commands"
 (Scan.succeed (Toplevel.keep (Outer_Syntax.print_commands o Toplevel.theory_of)));

  _ =
 Outer_Syntax.command 🍋‹print_options› "print configuration options"
 (Parse.opt_bang >> (fn b => Toplevel.keep (Attrib.print_options b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_context›
 "print context of local theory target"
 (Scan.succeed (Toplevel.keep (Pretty.writeln o Pretty.chunks o Toplevel.pretty_context)));

  _ =
 Outer_Syntax.command 🍋‹print_theory›
 "print logical theory contents"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (Pretty.writeln o Proof_Display.pretty_theory b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_definitions›
 "print dependencies of definitional theory content"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (Pretty.writeln o Proof_Display.pretty_definitions b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_syntax›
 "print inner syntax of context"
 (Scan.succeed (Toplevel.keep (Proof_Context.print_syntax o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_defn_rules›
 "print definitional rewrite rules of context"
 (Scan.succeed (Toplevel.keep (Local_Defs.print_rules o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_abbrevs›
 "print constant abbreviations of context"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (Proof_Context.print_abbrevs b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_theorems›
 "print theorems of local theory or proof context"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (Pretty.writeln o Pretty.chunks o Isar_Cmd.pretty_theorems b)));

  _ =
 Outer_Syntax.command 🍋‹print_locales›
 "print locales of this theory"
 (Parse.opt_bang >> (fn verbose =>
 Toplevel.keep (fn state =>
 let val thy = Toplevel.theory_of state
 in Pretty.writeln (Locale.pretty_locales thy verbose) end)));

  _ =
 Outer_Syntax.command 🍋‹print_classes›
 "print classes of this theory"
 (Scan.succeed (Toplevel.keep (Class.print_classes o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_locale›
 "print locale of this theory"
 (Parse.opt_bang -- Parse.name_position >> (fn (show_facts, raw_name) =>
 Toplevel.keep (fn state =>
 let
 val thy = Toplevel.theory_of state;
 val ctxt = Toplevel.context_of state;
 val name = Locale.check ctxt raw_name;
 in Pretty.writeln (Locale.pretty_locale thy show_facts name) end)));

  _ =
 Outer_Syntax.command 🍋‹print_interps›
 "print interpretations of locale for this theory or proof context"
 (Parse.name_position >> (fn raw_name =>
 Toplevel.keep (fn state =>
 let
 val thy = Toplevel.theory_of state;
 val ctxt = Toplevel.context_of state;
 val name = Locale.check ctxt raw_name;
 in Pretty.writeln (Locale.pretty_registrations ctxt name) end)));

  _ =
 Outer_Syntax.command 🍋‹print_attributes›
 "print attributes of this theory"
 (Parse.opt_bang >> (fn b => Toplevel.keep (Attrib.print_attributes b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_simpset›
 "print context of Simplifier"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (Pretty.writeln o Simplifier.pretty_simpset b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_rules› "print intro/elim rules"
 (Scan.succeed (Toplevel.keep (Context_Rules.print_rules o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_methods› "print methods of this theory"
 (Parse.opt_bang >> (fn b => Toplevel.keep (Method.print_methods b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_antiquotations›
 "print document antiquotations"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (Document_Antiquotation.print_antiquotations b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_ML_antiquotations›
 "print ML antiquotations"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (ML_Context.print_antiquotations b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹locale_deps› "visualize locale dependencies"
 (Scan.succeed (Toplevel.keep (fn state =>
 let
 val thy = Toplevel.theory_of state;
 val ctxt = Toplevel.context_of state;
 in
 Locale.pretty_locale_deps thy
 |> map (fn {name, parents, body} =>
 ((name, Graph_Display.content_node (Locale.extern ctxt name) [body]), parents))
 |> Graph_Display.display_graph_old
 end)));

  _ =
 Outer_Syntax.command 🍋‹print_term_bindings›
 "print term bindings of proof context"
 (Scan.succeed
 (Toplevel.keep
 (Pretty.writeln o Pretty.chunks o Proof_Context.pretty_term_bindings o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_facts› "print facts of proof context"
 (Parse.opt_bang >> (fn b =>
 Toplevel.keep (Proof_Context.print_local_facts b o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_cases› "print cases of proof context"
 (Scan.succeed
 (Toplevel.keep
 (Pretty.writeln o Pretty.chunks o Proof_Context.pretty_cases o Toplevel.context_of)));

  _ =
 Outer_Syntax.command 🍋‹print_statement›
 "print theorems as long statements"
 (opt_modes -- Parse.thms1 >> Isar_Cmd.print_stmts);

  _ =
 Outer_Syntax.command 🍋‹thm› "print theorems"
 (opt_modes -- Parse.thms1 >> Isar_Cmd.print_thms);

  _ =
 Outer_Syntax.command 🍋‹prf› "print proof terms of theorems"
 (opt_modes -- Scan.option Parse.thms1 >> Isar_Cmd.print_prfs false);

  _ =
 Outer_Syntax.command 🍋‹full_prf› "print full proof terms of theorems"
 (opt_modes -- Scan.option Parse.thms1 >> Isar_Cmd.print_prfs true);

  _ =
 Outer_Syntax.command 🍋‹prop› "read and print proposition"
 (opt_modes -- Parse.term >> Isar_Cmd.print_prop);

  _ =
 Outer_Syntax.command 🍋‹term› "read and print term"
 (opt_modes -- Parse.term >> Isar_Cmd.print_term);

  _ =
 Outer_Syntax.command 🍋‹typ› "read and print type"
 (opt_modes -- (Parse.typ -- Scan.option (🍋‹::› |-- Parse.!!! Parse.sort))
 >> Isar_Cmd.print_type);

  _ =
 Outer_Syntax.command 🍋‹print_codesetup› "print code generator setup"
 (Scan.succeed (Toplevel.keep (Code.print_codesetup o Toplevel.theory_of)));

  _ =
 Outer_Syntax.command 🍋‹print_context_tracing›
 "print result of context tracing from ML heap"
 (Scan.repeat Parse.name_position >> (fn raw_names => Toplevel.keep (fn st =>
 let
 val pred =
 if null raw_names then K true
 else
 let
 val ctxt = Toplevel.context_of st;
 val insert = Symset.insert o Context.theory_long_name o Thy_Info.check_theory ctxt;
 val names = Symset.build (fold insert raw_names);
 in Symset.member names o Context.theory_long_name o Context.theory_of end;
 in Session.print_context_tracing pred end)));

  _ =
 Outer_Syntax.command 🍋‹print_state›
 "print current proof state (if present)"
 (opt_modes >> (fn modes =>
 Toplevel.keep
 (Print_Mode.with_modes modes
 (Output.writelns o Pretty.strings_of o Pretty.chunks o Toplevel.pretty_state))));

  _ =
 Outer_Syntax.command 🍋‹welcome› "print welcome message"
 (Scan.succeed (Toplevel.keep (fn _ => writeln (Session.welcome ()))));

  end›


  ‹Dependencies›

  ‹
 

  theory_bounds =
 Parse.theory_name >> single ||
 (🍋‹(› |-- Parse.enum "|" Parse.theory_name --| 🍋‹)›);

  _ =
 Outer_Syntax.command 🍋‹thy_deps› "visualize theory dependencies"
 (Scan.option theory_bounds -- Scan.option theory_bounds >>
 (fn args => Toplevel.keep (fn st => Thy_Deps.thy_deps_cmd (Toplevel.context_of st) args)));


  class_bounds =
 Parse.sort >> single ||
 (🍋‹(› |-- Parse.enum "|" Parse.sort --| 🍋‹)›);

  _ =
 Outer_Syntax.command 🍋‹class_deps› "visualize class dependencies"
 (Scan.option class_bounds -- Scan.option class_bounds >> (fn args =>
 Toplevel.keep (fn st => Class_Deps.class_deps_cmd (Toplevel.context_of st) args)));


  _ =
 Outer_Syntax.command 🍋‹thm_deps›
 "print theorem dependencies (immediate non-transitive)"
 (Parse.thms1 >> (fn args =>
 Toplevel.keep (fn st =>
 let val ctxt = Toplevel.context_of st
 in Pretty.writeln (Thm_Deps.pretty_thm_deps ctxt (Attrib.eval_thms ctxt args)) end)));

  _ =
 Outer_Syntax.command 🍋‹thm_oracles›
 "print all oracles used in theorems (full graph of transitive dependencies)"
 (Parse.thms1 >> (fn args =>
 Toplevel.keep (fn st =>
 let
 val ctxt = Toplevel.context_of st;
 val thms = Attrib.eval_thms ctxt args;
 in Pretty.writeln (Thm_Deps.pretty_thm_oracles ctxt thms) end)));

  thy_names = Scan.repeat1 (Scan.unless Parse.minus Parse.theory_name);

  _ =
 Outer_Syntax.command 🍋‹unused_thms› "find unused theorems"
 (Scan.option ((thy_names --| Parse.minus) -- Scan.option thy_names) >> (fn opt_range =>
 Toplevel.keep (fn st =>
 let
 val thy = Toplevel.theory_of st;
 val ctxt = Toplevel.context_of st;
 fun pretty_thm (a, th) =
 Pretty.block [Pretty.quote (Proof_Context.pretty_thm_name ctxt a),
 Pretty.str ":", Pretty.brk 1, Thm.pretty_thm ctxt th];
 val check = Theory.check {long = false} ctxt;
 in
 Thm_Deps.unused_thms_cmd
 (case opt_range of
 NONE => (Theory.parents_of thy, [thy])
 | SOME (xs, NONE) => (map check xs, [thy])
 | SOME (xs, SOME ys) => (map check xs, map check ys))
 |> map pretty_thm |> Pretty.chunks |> Pretty.writeln
 end)));

  end›


  ‹Adhoc overloading›

  ‹
 

  adhoc_overloading_args =
 Parse.and_list1
 ((Parse.const --| (🍋‹⇌› || 🍋‹==›)) -- Parse.!!! (Scan.repeat1 Parse.term));

  _ =
 Outer_Syntax.local_theory 🍋‹adhoc_overloading›
 "add adhoc overloading for constants / fixed variables"
 (adhoc_overloading_args
 >> Adhoc_Overloading.adhoc_overloading_cmd true);

  _ =
 Outer_Syntax.local_theory 🍋‹no_adhoc_overloading›
 "delete adhoc overloading for constants / fixed variables"
 (adhoc_overloading_args
 >> Adhoc_Overloading.adhoc_overloading_cmd false);

  end
 ›


  ‹Find consts and theorems›

  ‹
 

  _ =
 Outer_Syntax.command 🍋‹find_consts›
 "find constants by name / type patterns"
 (Find_Consts.query_parser >> (fn spec =>
 Toplevel.keep (fn st =>
 Pretty.writeln (Find_Consts.pretty_consts (Toplevel.context_of st) spec))));

  options =
 Scan.optional
 (Parse.$$$ "(" |--
 Parse.!!! (Scan.option Parse.nat --
 Scan.optional (Parse.reserved "with_dups" >> K false) true --| Parse.$$$ ")"))
 (NONE, true);

  _ =
 Outer_Syntax.command 🍋‹find_theorems›
 "find theorems meeting specified criteria"
 (options -- Find_Theorems.query_parser >> (fn ((opt_lim, rem_dups), spec) =>
 Toplevel.keep (fn st =>
 Pretty.writeln
 (Find_Theorems.pretty_theorems (Find_Theorems.proof_state st) opt_lim rem_dups spec))));

  end›


  ‹Code generation›

  ‹
 

  _ =
 Outer_Syntax.command 🍋‹code_datatype›
 "define set of code datatype constructors"
 (Scan.repeat1 Parse.term >> (Toplevel.theory o Code.declare_datatype_cmd));

  end›


  ‹Extraction of programs from proofs›

  ‹
 

  parse_vars = Scan.optional (Parse.$$$ "(" |-- Parse.list1 Parse.name --| Parse.$$$ ")") [];

  _ =
 Outer_Syntax.command 🍋‹realizers›
 "specify realizers for primitive axioms / theorems, together with correctness proof"
 (Scan.repeat1 (Parse.name -- parse_vars --| Parse.$$$ ":" -- Parse.string -- Parse.string) >>
 (fn xs => Toplevel.theory (fn thy => Extraction.add_realizers
 (map (fn (((a, vs), s1), s2) => (Global_Theory.get_thm thy a, (vs, s1, s2))) xs) thy)));

  _ =
 Outer_Syntax.command 🍋‹realizability›
 "add equations characterizing realizability"
 (Scan.repeat1 Parse.string >> (Toplevel.theory o Extraction.add_realizes_eqns));

  _ =
 Outer_Syntax.command 🍋‹extract_type›
 "add equations characterizing type of extracted program"
 (Scan.repeat1 Parse.string >> (Toplevel.theory o Extraction.add_typeof_eqns));

  _ =
 Outer_Syntax.command 🍋‹extract› "extract terms from proofs"
 (Scan.repeat1 (Parse.name -- parse_vars) >> (fn xs => Toplevel.theory (fn thy =>
 Extraction.extract (map (apfst (Global_Theory.get_thm thy)) xs) thy)));

  end›


  ‹Auxiliary lemmas›

  ‹Meta-level connectives in assumptions›

  meta_mp:
 assumes "PROP P ==> PROP Q" and "PROP P"
 shows "PROP Q"
 by (rule ‹PROP P ==> PROP Q› [OF ‹PROP P›])

  meta_impE = meta_mp [elim_format]

  meta_spec:
 assumes "∧x. PROP P x"
 shows "PROP P x"
 by (rule ‹∧x. PROP P x›)

  meta_allE = meta_spec [elim_format]

  swap_params:
 "(∧x y. PROP P x y) ≡ (∧y x. PROP P x y)" ..

  equal_allI:
 ‹(∧x. PROP P x) ≡ (∧x. PROP Q x)› if ‹∧x. PROP P x ≡ PROP Q x›
 by (simp only: that)


  ‹Meta-level conjunction›

  all_conjunction:
 "(∧x. PROP A x &&& PROP B x) ≡ ((∧x. PROP A x) &&& (∧x. PROP B x))"
 
 assume conj: "∧x. PROP A x &&& PROP B x"
 show "(∧x. PROP A x) &&& (∧x. PROP B x)"
 proof -
 fix x
 from conj show "PROP A x" by (rule conjunctionD1)
 from conj show "PROP B x" by (rule conjunctionD2)
 qed
 
 assume conj: "(∧x. PROP A x) &&& (∧x. PROP B x)"
 fix x
 show "PROP A x &&& PROP B x"
 proof -
 show "PROP A x" by (rule conj [THEN conjunctionD1, rule_format])
 show "PROP B x" by (rule conj [THEN conjunctionD2, rule_format])
 qed
 

  imp_conjunction:
 "(PROP A ==> PROP B &&& PROP C) ≡ ((PROP A ==> PROP B) &&& (PROP A yle='font-size: 18px;'>==> PROP C))"
 
 assume conj: "PROP A ==> PROP B &&& PROP C"
 show "(PROP A ==> PROP B) &&& (PROP A ==> PROP C)"
 proof -
 assume "PROP A"
 from conj [OF ‹PROP A›] show "PROP B" by (rule conjunctionD1)
 from conj [OF ‹PROP A›] show "PROP C" by (rule conjunctionD2)
 qed
 
 assume conj: "(PROP A ==> PROP B) &&& (PROP A ==> PROP C)"
 assume "PROP A"
 show "PROP B &&& PROP C"
 proof -
 from ‹PROP A› show "PROP B" by (rule conj [THEN conjunctionD1])
 from ‹PROP A› show "PROP C" by (rule conj [THEN conjunctionD2])
 qed
 

  conjunction_imp:
 "(PROP A &&& PROP B ==> PROP C) ≡ (PROP A ==> PROP B ==> PROP C)"
 
 assume r: "PROP A &&& PROP B ==> PROP C"
 assume ab: "PROP A" "PROP B"
 show "PROP C"
 proof (rule r)
 from ab show "PROP A &&& PROP B" .
 qed
 
 assume r: "PROP A ==> PROP B ==> PROP C"
 assume conj: "PROP A &&& PROP B"
 show "PROP C"
 proof (rule r)
 from conj show "PROP A" by (rule conjunctionD1)
 from conj show "PROP B" by (rule conjunctionD2)
 qed
 


  ‹Misc›

  constrain_space_syntax ― ‹type constraints with spacing›
 
  (output)
 "_constrain" :: "logic ==> type ==> logic" (‹_::_› [4, 0] 3)
 "_constrain" :: "prop' ==> type ==> prop'" (‹_::_› [4, 0] 3)
  (output)
 "_constrain" :: "logic ==> type ==> logic" (‹_ :: _› [4, 0] 3)
 "_constrain" :: "prop' ==> type ==> prop'" (‹_ :: _› [4, 0] 3)
 


  [[ML_write_global = false]]

  ‹🍋 (not (can ML_command ‹() handle _ => ()›))›
  ‹🍋 (not (can ML_command ‹() handle Interrupt => ()›))›