--- a/src/Pure/pure_thy.ML Sun Feb 25 12:59:08 2018 +0100
+++ b/src/Pure/pure_thy.ML Sun Feb 25 15:44:46 2018 +0100
@@ -31,14 +31,14 @@
(* application syntax variants *)
val appl_syntax =
- [("_appl", typ "('b => 'a) => args => logic", mixfix ("(1_/(1'(_')))", [1000, 0], 1000)),
- ("_appl", typ "('b => 'a) => args => aprop", mixfix ("(1_/(1'(_')))", [1000, 0], 1000))];
+ [("_appl", typ "('b \<Rightarrow> 'a) \<Rightarrow> args \<Rightarrow> logic", mixfix ("(1_/(1'(_')))", [1000, 0], 1000)),
+ ("_appl", typ "('b \<Rightarrow> 'a) \<Rightarrow> args \<Rightarrow> aprop", mixfix ("(1_/(1'(_')))", [1000, 0], 1000))];
val applC_syntax =
- [("", typ "'a => cargs", Mixfix.mixfix "_"),
- ("_cargs", typ "'a => cargs => cargs", mixfix ("_/ _", [1000, 1000], 1000)),
- ("_applC", typ "('b => 'a) => cargs => logic", mixfix ("(1_/ _)", [1000, 1000], 999)),
- ("_applC", typ "('b => 'a) => cargs => aprop", mixfix ("(1_/ _)", [1000, 1000], 999))];
+ [("", typ "'a \<Rightarrow> cargs", Mixfix.mixfix "_"),
+ ("_cargs", typ "'a \<Rightarrow> cargs \<Rightarrow> cargs", mixfix ("_/ _", [1000, 1000], 1000)),
+ ("_applC", typ "('b \<Rightarrow> 'a) \<Rightarrow> cargs \<Rightarrow> logic", mixfix ("(1_/ _)", [1000, 1000], 999)),
+ ("_applC", typ "('b \<Rightarrow> 'a) \<Rightarrow> cargs \<Rightarrow> aprop", mixfix ("(1_/ _)", [1000, 1000], 999))];
structure Old_Appl_Syntax = Theory_Data
(
@@ -86,119 +86,119 @@
"class_name"]))
#> Sign.add_syntax Syntax.mode_default (map (fn x => (x, typ "'a", NoSyn)) token_markers)
#> Sign.add_syntax Syntax.mode_default
- [("", typ "prop' => prop", Mixfix.mixfix "_"),
- ("", typ "logic => any", Mixfix.mixfix "_"),
- ("", typ "prop' => any", Mixfix.mixfix "_"),
- ("", typ "logic => logic", Mixfix.mixfix "'(_')"),
- ("", typ "prop' => prop'", Mixfix.mixfix "'(_')"),
- ("_constrain", typ "logic => type => logic", mixfix ("_::_", [4, 0], 3)),
- ("_constrain", typ "prop' => type => prop'", mixfix ("_::_", [4, 0], 3)),
+ [("", typ "prop' \<Rightarrow> prop", Mixfix.mixfix "_"),
+ ("", typ "logic \<Rightarrow> any", Mixfix.mixfix "_"),
+ ("", typ "prop' \<Rightarrow> any", Mixfix.mixfix "_"),
+ ("", typ "logic \<Rightarrow> logic", Mixfix.mixfix "'(_')"),
+ ("", typ "prop' \<Rightarrow> prop'", Mixfix.mixfix "'(_')"),
+ ("_constrain", typ "logic \<Rightarrow> type \<Rightarrow> logic", mixfix ("_::_", [4, 0], 3)),
+ ("_constrain", typ "prop' \<Rightarrow> type \<Rightarrow> prop'", mixfix ("_::_", [4, 0], 3)),
("_ignore_type", typ "'a", NoSyn),
- ("", typ "tid_position => type", Mixfix.mixfix "_"),
- ("", typ "tvar_position => type", Mixfix.mixfix "_"),
- ("", typ "type_name => type", Mixfix.mixfix "_"),
- ("_type_name", typ "id => type_name", Mixfix.mixfix "_"),
- ("_type_name", typ "longid => type_name", Mixfix.mixfix "_"),
- ("_ofsort", typ "tid_position => sort => type", mixfix ("_::_", [1000, 0], 1000)),
- ("_ofsort", typ "tvar_position => sort => type", mixfix ("_::_", [1000, 0], 1000)),
- ("_dummy_ofsort", typ "sort => type", mixfix ("'_()::_", [0], 1000)),
- ("", typ "class_name => sort", Mixfix.mixfix "_"),
- ("_class_name", typ "id => class_name", Mixfix.mixfix "_"),
- ("_class_name", typ "longid => class_name", Mixfix.mixfix "_"),
+ ("", typ "tid_position \<Rightarrow> type", Mixfix.mixfix "_"),
+ ("", typ "tvar_position \<Rightarrow> type", Mixfix.mixfix "_"),
+ ("", typ "type_name \<Rightarrow> type", Mixfix.mixfix "_"),
+ ("_type_name", typ "id \<Rightarrow> type_name", Mixfix.mixfix "_"),
+ ("_type_name", typ "longid \<Rightarrow> type_name", Mixfix.mixfix "_"),
+ ("_ofsort", typ "tid_position \<Rightarrow> sort \<Rightarrow> type", mixfix ("_::_", [1000, 0], 1000)),
+ ("_ofsort", typ "tvar_position \<Rightarrow> sort \<Rightarrow> type", mixfix ("_::_", [1000, 0], 1000)),
+ ("_dummy_ofsort", typ "sort \<Rightarrow> type", mixfix ("'_()::_", [0], 1000)),
+ ("", typ "class_name \<Rightarrow> sort", Mixfix.mixfix "_"),
+ ("_class_name", typ "id \<Rightarrow> class_name", Mixfix.mixfix "_"),
+ ("_class_name", typ "longid \<Rightarrow> class_name", Mixfix.mixfix "_"),
("_dummy_sort", typ "sort", Mixfix.mixfix "'_"),
("_topsort", typ "sort", Mixfix.mixfix "{}"),
- ("_sort", typ "classes => sort", Mixfix.mixfix "{_}"),
- ("", typ "class_name => classes", Mixfix.mixfix "_"),
- ("_classes", typ "class_name => classes => classes", Mixfix.mixfix "_,_"),
- ("_tapp", typ "type => type_name => type", mixfix ("_ _", [1000, 0], 1000)),
- ("_tappl", typ "type => types => type_name => type", Mixfix.mixfix "((1'(_,/ _')) _)"),
- ("", typ "type => types", Mixfix.mixfix "_"),
- ("_types", typ "type => types => types", Mixfix.mixfix "_,/ _"),
- ("\<^type>fun", typ "type => type => type", mixfix ("(_/ \<Rightarrow> _)", [1, 0], 0)),
- ("_bracket", typ "types => type => type", mixfix ("([_]/ \<Rightarrow> _)", [0, 0], 0)),
- ("", typ "type => type", Mixfix.mixfix "'(_')"),
+ ("_sort", typ "classes \<Rightarrow> sort", Mixfix.mixfix "{_}"),
+ ("", typ "class_name \<Rightarrow> classes", Mixfix.mixfix "_"),
+ ("_classes", typ "class_name \<Rightarrow> classes \<Rightarrow> classes", Mixfix.mixfix "_,_"),
+ ("_tapp", typ "type \<Rightarrow> type_name \<Rightarrow> type", mixfix ("_ _", [1000, 0], 1000)),
+ ("_tappl", typ "type \<Rightarrow> types \<Rightarrow> type_name \<Rightarrow> type", Mixfix.mixfix "((1'(_,/ _')) _)"),
+ ("", typ "type \<Rightarrow> types", Mixfix.mixfix "_"),
+ ("_types", typ "type \<Rightarrow> types \<Rightarrow> types", Mixfix.mixfix "_,/ _"),
+ ("\<^type>fun", typ "type \<Rightarrow> type \<Rightarrow> type", mixfix ("(_/ \<Rightarrow> _)", [1, 0], 0)),
+ ("_bracket", typ "types \<Rightarrow> type \<Rightarrow> type", mixfix ("([_]/ \<Rightarrow> _)", [0, 0], 0)),
+ ("", typ "type \<Rightarrow> type", Mixfix.mixfix "'(_')"),
("\<^type>dummy", typ "type", Mixfix.mixfix "'_"),
("_type_prop", typ "'a", NoSyn),
- ("_lambda", typ "pttrns => 'a => logic", mixfix ("(3\<lambda>_./ _)", [0, 3], 3)),
+ ("_lambda", typ "pttrns \<Rightarrow> 'a \<Rightarrow> logic", mixfix ("(3\<lambda>_./ _)", [0, 3], 3)),
("_abs", typ "'a", NoSyn),
- ("", typ "'a => args", Mixfix.mixfix "_"),
- ("_args", typ "'a => args => args", Mixfix.mixfix "_,/ _"),
- ("", typ "id_position => idt", Mixfix.mixfix "_"),
+ ("", typ "'a \<Rightarrow> args", Mixfix.mixfix "_"),
+ ("_args", typ "'a \<Rightarrow> args \<Rightarrow> args", Mixfix.mixfix "_,/ _"),
+ ("", typ "id_position \<Rightarrow> idt", Mixfix.mixfix "_"),
("_idtdummy", typ "idt", Mixfix.mixfix "'_"),
- ("_idtyp", typ "id_position => type => idt", mixfix ("_::_", [], 0)),
- ("_idtypdummy", typ "type => idt", mixfix ("'_()::_", [], 0)),
- ("", typ "idt => idt", Mixfix.mixfix "'(_')"),
- ("", typ "idt => idts", Mixfix.mixfix "_"),
- ("_idts", typ "idt => idts => idts", mixfix ("_/ _", [1, 0], 0)),
- ("", typ "idt => pttrn", Mixfix.mixfix "_"),
- ("", typ "pttrn => pttrns", Mixfix.mixfix "_"),
- ("_pttrns", typ "pttrn => pttrns => pttrns", mixfix ("_/ _", [1, 0], 0)),
- ("", typ "aprop => aprop", Mixfix.mixfix "'(_')"),
- ("", typ "id_position => aprop", Mixfix.mixfix "_"),
- ("", typ "longid_position => aprop", Mixfix.mixfix "_"),
- ("", typ "var_position => aprop", Mixfix.mixfix "_"),
+ ("_idtyp", typ "id_position \<Rightarrow> type \<Rightarrow> idt", mixfix ("_::_", [], 0)),
+ ("_idtypdummy", typ "type \<Rightarrow> idt", mixfix ("'_()::_", [], 0)),
+ ("", typ "idt \<Rightarrow> idt", Mixfix.mixfix "'(_')"),
+ ("", typ "idt \<Rightarrow> idts", Mixfix.mixfix "_"),
+ ("_idts", typ "idt \<Rightarrow> idts \<Rightarrow> idts", mixfix ("_/ _", [1, 0], 0)),
+ ("", typ "idt \<Rightarrow> pttrn", Mixfix.mixfix "_"),
+ ("", typ "pttrn \<Rightarrow> pttrns", Mixfix.mixfix "_"),
+ ("_pttrns", typ "pttrn \<Rightarrow> pttrns \<Rightarrow> pttrns", mixfix ("_/ _", [1, 0], 0)),
+ ("", typ "aprop \<Rightarrow> aprop", Mixfix.mixfix "'(_')"),
+ ("", typ "id_position \<Rightarrow> aprop", Mixfix.mixfix "_"),
+ ("", typ "longid_position \<Rightarrow> aprop", Mixfix.mixfix "_"),
+ ("", typ "var_position \<Rightarrow> aprop", Mixfix.mixfix "_"),
("_DDDOT", typ "aprop", Mixfix.mixfix "\<dots>"),
- ("_aprop", typ "aprop => prop", Mixfix.mixfix "PROP _"),
- ("_asm", typ "prop => asms", Mixfix.mixfix "_"),
- ("_asms", typ "prop => asms => asms", Mixfix.mixfix "_;/ _"),
- ("_bigimpl", typ "asms => prop => prop", mixfix ("((1\<lbrakk>_\<rbrakk>)/ \<Longrightarrow> _)", [0, 1], 1)),
- ("_ofclass", typ "type => logic => prop", Mixfix.mixfix "(1OFCLASS/(1'(_,/ _')))"),
+ ("_aprop", typ "aprop \<Rightarrow> prop", Mixfix.mixfix "PROP _"),
+ ("_asm", typ "prop \<Rightarrow> asms", Mixfix.mixfix "_"),
+ ("_asms", typ "prop \<Rightarrow> asms \<Rightarrow> asms", Mixfix.mixfix "_;/ _"),
+ ("_bigimpl", typ "asms \<Rightarrow> prop \<Rightarrow> prop", mixfix ("((1\<lbrakk>_\<rbrakk>)/ \<Longrightarrow> _)", [0, 1], 1)),
+ ("_ofclass", typ "type \<Rightarrow> logic \<Rightarrow> prop", Mixfix.mixfix "(1OFCLASS/(1'(_,/ _')))"),
("_mk_ofclass", typ "dummy", NoSyn),
- ("_TYPE", typ "type => logic", Mixfix.mixfix "(1TYPE/(1'(_')))"),
- ("", typ "id_position => logic", Mixfix.mixfix "_"),
- ("", typ "longid_position => logic", Mixfix.mixfix "_"),
- ("", typ "var_position => logic", Mixfix.mixfix "_"),
+ ("_TYPE", typ "type \<Rightarrow> logic", Mixfix.mixfix "(1TYPE/(1'(_')))"),
+ ("", typ "id_position \<Rightarrow> logic", Mixfix.mixfix "_"),
+ ("", typ "longid_position \<Rightarrow> logic", Mixfix.mixfix "_"),
+ ("", typ "var_position \<Rightarrow> logic", Mixfix.mixfix "_"),
("_DDDOT", typ "logic", Mixfix.mixfix "\<dots>"),
("_strip_positions", typ "'a", NoSyn),
- ("_position", typ "num_token => num_position", Mixfix.mixfix "_"),
- ("_position", typ "float_token => float_position", Mixfix.mixfix "_"),
- ("_constify", typ "num_position => num_const", Mixfix.mixfix "_"),
- ("_constify", typ "float_position => float_const", Mixfix.mixfix "_"),
- ("_index", typ "logic => index", Mixfix.mixfix "(\<open>unbreakable\<close>\<^bsub>_\<^esub>)"),
+ ("_position", typ "num_token \<Rightarrow> num_position", Mixfix.mixfix "_"),
+ ("_position", typ "float_token \<Rightarrow> float_position", Mixfix.mixfix "_"),
+ ("_constify", typ "num_position \<Rightarrow> num_const", Mixfix.mixfix "_"),
+ ("_constify", typ "float_position \<Rightarrow> float_const", Mixfix.mixfix "_"),
+ ("_index", typ "logic \<Rightarrow> index", Mixfix.mixfix "(\<open>unbreakable\<close>\<^bsub>_\<^esub>)"),
("_indexdefault", typ "index", Mixfix.mixfix ""),
("_indexvar", typ "index", Mixfix.mixfix "'\<index>"),
- ("_struct", typ "index => logic", NoSyn),
+ ("_struct", typ "index \<Rightarrow> logic", NoSyn),
("_update_name", typ "idt", NoSyn),
("_constrainAbs", typ "'a", NoSyn),
- ("_position_sort", typ "tid => tid_position", Mixfix.mixfix "_"),
- ("_position_sort", typ "tvar => tvar_position", Mixfix.mixfix "_"),
- ("_position", typ "id => id_position", Mixfix.mixfix "_"),
- ("_position", typ "longid => longid_position", Mixfix.mixfix "_"),
- ("_position", typ "var => var_position", Mixfix.mixfix "_"),
- ("_position", typ "str_token => str_position", Mixfix.mixfix "_"),
- ("_position", typ "string_token => string_position", Mixfix.mixfix "_"),
- ("_position", typ "cartouche => cartouche_position", Mixfix.mixfix "_"),
+ ("_position_sort", typ "tid \<Rightarrow> tid_position", Mixfix.mixfix "_"),
+ ("_position_sort", typ "tvar \<Rightarrow> tvar_position", Mixfix.mixfix "_"),
+ ("_position", typ "id \<Rightarrow> id_position", Mixfix.mixfix "_"),
+ ("_position", typ "longid \<Rightarrow> longid_position", Mixfix.mixfix "_"),
+ ("_position", typ "var \<Rightarrow> var_position", Mixfix.mixfix "_"),
+ ("_position", typ "str_token \<Rightarrow> str_position", Mixfix.mixfix "_"),
+ ("_position", typ "string_token \<Rightarrow> string_position", Mixfix.mixfix "_"),
+ ("_position", typ "cartouche \<Rightarrow> cartouche_position", Mixfix.mixfix "_"),
("_type_constraint_", typ "'a", NoSyn),
- ("_context_const", typ "id_position => logic", Mixfix.mixfix "CONST _"),
- ("_context_const", typ "id_position => aprop", Mixfix.mixfix "CONST _"),
- ("_context_const", typ "longid_position => logic", Mixfix.mixfix "CONST _"),
- ("_context_const", typ "longid_position => aprop", Mixfix.mixfix "CONST _"),
- ("_context_xconst", typ "id_position => logic", Mixfix.mixfix "XCONST _"),
- ("_context_xconst", typ "id_position => aprop", Mixfix.mixfix "XCONST _"),
- ("_context_xconst", typ "longid_position => logic", Mixfix.mixfix "XCONST _"),
- ("_context_xconst", typ "longid_position => aprop", Mixfix.mixfix "XCONST _"),
+ ("_context_const", typ "id_position \<Rightarrow> logic", Mixfix.mixfix "CONST _"),
+ ("_context_const", typ "id_position \<Rightarrow> aprop", Mixfix.mixfix "CONST _"),
+ ("_context_const", typ "longid_position \<Rightarrow> logic", Mixfix.mixfix "CONST _"),
+ ("_context_const", typ "longid_position \<Rightarrow> aprop", Mixfix.mixfix "CONST _"),
+ ("_context_xconst", typ "id_position \<Rightarrow> logic", Mixfix.mixfix "XCONST _"),
+ ("_context_xconst", typ "id_position \<Rightarrow> aprop", Mixfix.mixfix "XCONST _"),
+ ("_context_xconst", typ "longid_position \<Rightarrow> logic", Mixfix.mixfix "XCONST _"),
+ ("_context_xconst", typ "longid_position \<Rightarrow> aprop", Mixfix.mixfix "XCONST _"),
(const "Pure.dummy_pattern", typ "aprop", Mixfix.mixfix "'_"),
- ("_sort_constraint", typ "type => prop", Mixfix.mixfix "(1SORT'_CONSTRAINT/(1'(_')))"),
- (const "Pure.term", typ "logic => prop", Mixfix.mixfix "TERM _"),
- (const "Pure.conjunction", typ "prop => prop => prop", infixr_ ("&&&", 2))]
+ ("_sort_constraint", typ "type \<Rightarrow> prop", Mixfix.mixfix "(1SORT'_CONSTRAINT/(1'(_')))"),
+ (const "Pure.term", typ "logic \<Rightarrow> prop", Mixfix.mixfix "TERM _"),
+ (const "Pure.conjunction", typ "prop \<Rightarrow> prop \<Rightarrow> prop", infixr_ ("&&&", 2))]
#> Sign.add_syntax Syntax.mode_default applC_syntax
#> Sign.add_syntax (Print_Mode.ASCII, true)
- [(tycon "fun", typ "type => type => type", mixfix ("(_/ => _)", [1, 0], 0)),
- ("_bracket", typ "types => type => type", mixfix ("([_]/ => _)", [0, 0], 0)),
- ("_lambda", typ "pttrns => 'a => logic", mixfix ("(3%_./ _)", [0, 3], 3)),
- (const "Pure.eq", typ "'a => 'a => prop", infix_ ("==", 2)),
- (const "Pure.all_binder", typ "idts => prop => prop", mixfix ("(3!!_./ _)", [0, 0], 0)),
- (const "Pure.imp", typ "prop => prop => prop", infixr_ ("==>", 1)),
+ [(tycon "fun", typ "type \<Rightarrow> type \<Rightarrow> type", mixfix ("(_/ => _)", [1, 0], 0)),
+ ("_bracket", typ "types \<Rightarrow> type \<Rightarrow> type", mixfix ("([_]/ => _)", [0, 0], 0)),
+ ("_lambda", typ "pttrns \<Rightarrow> 'a \<Rightarrow> logic", mixfix ("(3%_./ _)", [0, 3], 3)),
+ (const "Pure.eq", typ "'a \<Rightarrow> 'a \<Rightarrow> prop", infix_ ("==", 2)),
+ (const "Pure.all_binder", typ "idts \<Rightarrow> prop \<Rightarrow> prop", mixfix ("(3!!_./ _)", [0, 0], 0)),
+ (const "Pure.imp", typ "prop \<Rightarrow> prop \<Rightarrow> prop", infixr_ ("==>", 1)),
("_DDDOT", typ "aprop", Mixfix.mixfix "..."),
- ("_bigimpl", typ "asms => prop => prop", mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
+ ("_bigimpl", typ "asms \<Rightarrow> prop \<Rightarrow> prop", mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
("_DDDOT", typ "logic", Mixfix.mixfix "...")]
#> Sign.add_syntax ("", false)
- [(const "Pure.prop", typ "prop => prop", mixfix ("_", [0], 0))]
+ [(const "Pure.prop", typ "prop \<Rightarrow> prop", mixfix ("_", [0], 0))]
#> Sign.add_consts
- [(qualify (Binding.make ("eq", \<^here>)), typ "'a => 'a => prop", infix_ ("\<equiv>", 2)),
- (qualify (Binding.make ("imp", \<^here>)), typ "prop => prop => prop", infixr_ ("\<Longrightarrow>", 1)),
- (qualify (Binding.make ("all", \<^here>)), typ "('a => prop) => prop", binder ("\<And>", 0, 0)),
- (qualify (Binding.make ("prop", \<^here>)), typ "prop => prop", NoSyn),
+ [(qualify (Binding.make ("eq", \<^here>)), typ "'a \<Rightarrow> 'a \<Rightarrow> prop", infix_ ("\<equiv>", 2)),
+ (qualify (Binding.make ("imp", \<^here>)), typ "prop \<Rightarrow> prop \<Rightarrow> prop", infixr_ ("\<Longrightarrow>", 1)),
+ (qualify (Binding.make ("all", \<^here>)), typ "('a \<Rightarrow> prop) \<Rightarrow> prop", binder ("\<And>", 0, 0)),
+ (qualify (Binding.make ("prop", \<^here>)), typ "prop \<Rightarrow> prop", NoSyn),
(qualify (Binding.make ("type", \<^here>)), typ "'a itself", NoSyn),
(qualify (Binding.make ("dummy_pattern", \<^here>)), typ "'a", Mixfix.mixfix "'_")]
#> Theory.add_deps_global "Pure.eq" ((Defs.Const, "Pure.eq"), [typ "'a"]) []
@@ -210,20 +210,20 @@
#> Sign.parse_translation Syntax_Trans.pure_parse_translation
#> Sign.print_ast_translation Syntax_Trans.pure_print_ast_translation
#> Sign.add_consts
- [(qualify (Binding.make ("term", \<^here>)), typ "'a => prop", NoSyn),
- (qualify (Binding.make ("sort_constraint", \<^here>)), typ "'a itself => prop", NoSyn),
- (qualify (Binding.make ("conjunction", \<^here>)), typ "prop => prop => prop", NoSyn)]
+ [(qualify (Binding.make ("term", \<^here>)), typ "'a \<Rightarrow> prop", NoSyn),
+ (qualify (Binding.make ("sort_constraint", \<^here>)), typ "'a itself \<Rightarrow> prop", NoSyn),
+ (qualify (Binding.make ("conjunction", \<^here>)), typ "prop \<Rightarrow> prop \<Rightarrow> prop", NoSyn)]
#> Sign.local_path
#> (Global_Theory.add_defs false o map Thm.no_attributes)
[(Binding.make ("prop_def", \<^here>),
- prop "(CONST Pure.prop :: prop => prop) (A::prop) == A::prop"),
+ prop "(CONST Pure.prop :: prop \<Rightarrow> prop) (A::prop) \<equiv> A::prop"),
(Binding.make ("term_def", \<^here>),
- prop "(CONST Pure.term :: 'a => prop) (x::'a) == (!!A::prop. A ==> A)"),
+ prop "(CONST Pure.term :: 'a \<Rightarrow> prop) (x::'a) \<equiv> (\<And>A::prop. A \<Longrightarrow> A)"),
(Binding.make ("sort_constraint_def", \<^here>),
- prop "(CONST Pure.sort_constraint :: 'a itself => prop) (CONST Pure.type :: 'a itself) ==\
- \ (CONST Pure.term :: 'a itself => prop) (CONST Pure.type :: 'a itself)"),
+ prop "(CONST Pure.sort_constraint :: 'a itself \<Rightarrow> prop) (CONST Pure.type :: 'a itself) \<equiv>\
+ \ (CONST Pure.term :: 'a itself \<Rightarrow> prop) (CONST Pure.type :: 'a itself)"),
(Binding.make ("conjunction_def", \<^here>),
- prop "(A &&& B) == (!!C::prop. (A ==> B ==> C) ==> C)")] #> snd
+ prop "(A &&& B) \<equiv> (\<And>C::prop. (A \<Longrightarrow> B \<Longrightarrow> C) \<Longrightarrow> C)")] #> snd
#> fold (fn (a, prop) =>
snd o Thm.add_axiom_global (Binding.make (a, \<^here>), prop)) Proofterm.equality_axms);