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fullGrammar
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fullGrammar
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(* Coq grammar generated from .mlg files. Do not edit by hand. Not compiled into Coq *)
DOC_GRAMMAR
Constr.ident: [
| Prim.ident
]
Prim.name: [
| "_"
]
global: [
| Prim.reference
]
constr_pattern: [
| constr
]
cpattern: [
| lconstr
]
sort: [
| "Set"
| "Prop"
| "SProp"
| "Type"
| "Type" "@{" "_" "}"
| "Type" "@{" universe "}"
]
sort_family: [
| "Set"
| "Prop"
| "SProp"
| "Type"
]
universe_increment: [
| "+" natural
|
]
universe_name: [
| global
| "Set"
| "Prop"
]
universe_expr: [
| universe_name universe_increment
]
universe: [
| "max" "(" LIST1 universe_expr SEP "," ")"
| universe_expr
]
lconstr: [
| term200
]
constr: [
| term8
| "@" global univ_annot
]
term200: [
| binder_constr
| term100
]
term100: [
| term99 "<:" term200
| term99 "<<:" term200
| term99 ":>" term200
| term99 ":" term200
| term99
]
term99: [
| term90
]
term90: [
| term10
]
term10: [
| term9 LIST1 arg
| "@" global univ_annot LIST0 term9
| "@" pattern_ident LIST1 identref
| term9
]
term9: [
| ".." term0 ".."
| term8
]
term8: [
| term1
]
term1: [
| term0 ".(" global univ_annot LIST0 arg ")"
| term0 ".(" "@" global univ_annot LIST0 ( term9 ) ")"
| term0 "%" IDENT
| term0
]
term0: [
| atomic_constr
| term_match
| ident Prim.fields univ_annot
| ident univ_annot
| NUMBER
| "(" term200 ")"
| "{|" record_declaration bar_cbrace
| "{" binder_constr "}"
| "`{" term200 "}"
| test_array_opening "[" "|" array_elems "|" lconstr type_cstr test_array_closing "|" "]" univ_annot
| "`(" term200 ")"
| "ltac" ":" "(" Pltac.ltac_expr ")"
]
array_elems: [
| LIST0 lconstr SEP ";"
]
record_declaration: [
| fields_def
]
fields_def: [
| field_def ";" fields_def
| field_def
|
]
field_def: [
| global binders ":=" lconstr
]
binder_constr: [
| "forall" open_binders "," term200
| "fun" open_binders "=>" term200
| "let" name binders let_type_cstr ":=" term200 "in" term200
| "let" "fix" fix_decl "in" term200
| "let" "cofix" cofix_body "in" term200
| "let" [ "(" LIST0 name SEP "," ")" | "()" ] as_return_type ":=" term200 "in" term200
| "let" "'" pattern200 ":=" term200 "in" term200
| "let" "'" pattern200 ":=" term200 case_type "in" term200
| "let" "'" pattern200 "in" pattern200 ":=" term200 case_type "in" term200
| "if" term200 as_return_type "then" term200 "else" term200
| "fix" fix_decls
| "cofix" cofix_decls
]
arg: [
| test_lpar_id_coloneq "(" identref ":=" lconstr ")"
| test_lpar_nat_coloneq "(" natural ":=" lconstr ")"
| term9
]
atomic_constr: [
| sort
| string
| "_"
| "?" "[" identref "]"
| "?" "[" pattern_ident "]"
| pattern_ident evar_instance
]
inst: [
| identref ":=" lconstr
]
evar_instance: [
| "@{" LIST1 inst SEP ";" "}"
|
]
univ_annot: [
| "@{" LIST0 universe_level "}"
|
]
universe_level: [
| "Set"
| "Prop"
| "Type"
| "_"
| global
]
fix_decls: [
| fix_decl
| fix_decl "with" LIST1 fix_decl SEP "with" "for" identref
]
cofix_decls: [
| cofix_body
| cofix_body "with" LIST1 cofix_body SEP "with" "for" identref
]
fix_decl: [
| identref binders_fixannot type_cstr ":=" term200
]
cofix_body: [
| identref binders type_cstr ":=" term200
]
term_match: [
| "match" LIST1 case_item SEP "," OPT case_type "with" branches "end"
]
case_item: [
| term100 OPT [ "as" name ] OPT [ "in" pattern200 ]
]
case_type: [
| "return" term100
]
as_return_type: [
| OPT [ OPT [ "as" name ] case_type ]
]
branches: [
| OPT "|" LIST0 eqn SEP "|"
]
mult_pattern: [
| LIST1 pattern200 SEP ","
]
eqn: [
| LIST1 mult_pattern SEP "|" "=>" lconstr
]
record_pattern: [
| global ":=" pattern200
]
record_patterns: [
| record_pattern ";" record_patterns
| record_pattern
|
]
pattern200: [
| pattern100
]
pattern100: [
| pattern99 ":" term200
| pattern99
]
pattern99: [
| pattern90
]
pattern90: [
| pattern10
]
pattern10: [
| pattern1 "as" name
| pattern1 LIST1 pattern1
| "@" Prim.reference LIST0 pattern1
| pattern1
]
pattern1: [
| pattern0 "%" IDENT
| pattern0
]
pattern0: [
| Prim.reference
| "{|" record_patterns bar_cbrace
| "_"
| "(" pattern200 ")"
| "(" pattern200 "|" LIST1 pattern200 SEP "|" ")"
| NUMBER
| string
]
fixannot: [
| "{" "struct" identref "}"
| "{" "wf" constr identref "}"
| "{" "measure" constr OPT identref OPT constr "}"
]
binders_fixannot: [
| ensure_fixannot fixannot
| binder binders_fixannot
|
]
open_binders: [
| name LIST0 name ":" lconstr
| name LIST0 name binders
| name ".." name
| closed_binder binders
]
binders: [
| LIST0 binder
| Pcoq.Constr.binders
]
binder: [
| name
| closed_binder
]
closed_binder: [
| "(" name LIST1 name ":" lconstr ")"
| "(" name ":" lconstr ")"
| "(" name ":=" lconstr ")"
| "(" name ":" lconstr ":=" lconstr ")"
| "{" name "}"
| "{" name LIST1 name ":" lconstr "}"
| "{" name ":" lconstr "}"
| "{" name LIST1 name "}"
| "[" name "]"
| "[" name LIST1 name ":" lconstr "]"
| "[" name ":" lconstr "]"
| "[" name LIST1 name "]"
| "`(" LIST1 typeclass_constraint SEP "," ")"
| "`{" LIST1 typeclass_constraint SEP "," "}"
| "`[" LIST1 typeclass_constraint SEP "," "]"
| "'" pattern0
]
one_open_binder: [
| name
| name ":" lconstr
| one_closed_binder
]
one_closed_binder: [
| "(" name ":" lconstr ")"
| "{" name "}"
| "{" name ":" lconstr "}"
| "[" name "]"
| "[" name ":" lconstr "]"
| "'" pattern0
]
typeclass_constraint: [
| "!" term200
| "{" name "}" ":" [ "!" | ] term200
| test_name_colon name ":" [ "!" | ] term200
| term200
]
type_cstr: [
| ":" lconstr
|
]
let_type_cstr: [
| OPT [ ":" lconstr ]
]
preident: [
| IDENT
]
ident: [
| IDENT
]
pattern_ident: [
| LEFTQMARK ident
]
identref: [
| ident
]
hyp: [
| identref
]
field: [
| FIELD
]
fields: [
| field fields
| field
]
fullyqualid: [
| ident fields
| ident
]
name: [
| "_"
| ident
]
reference: [
| ident fields
| ident
]
qualid: [
| reference
]
by_notation: [
| ne_string OPT [ "%" IDENT ]
]
smart_global: [
| reference
| by_notation
]
ne_string: [
| STRING
]
ne_lstring: [
| ne_string
]
dirpath: [
| ident LIST0 field
]
string: [
| STRING
]
lstring: [
| string
]
integer: [
| bigint
]
natural: [
| bignat
]
bigint: [
| bignat
| test_minus_nat "-" bignat
]
bignat: [
| NUMBER
]
bar_cbrace: [
| test_pipe_closedcurly "|" "}"
]
strategy_level: [
| "expand"
| "opaque"
| integer
| "transparent"
]
vernac_toplevel: [
| "Drop" "."
| "Quit" "."
| "BackTo" natural "."
| test_show_goal "Show" "Goal" natural "at" natural "."
| "Show" "Proof" "Diffs" OPT "removed" "."
| Pvernac.Vernac_.main_entry
]
opt_hintbases: [
|
| ":" LIST1 IDENT
]
command: [
| "Goal" lconstr
| "Proof"
| "Proof" "using" G_vernac.section_subset_expr
| "Proof" "Mode" string
| "Proof" lconstr
| "Abort"
| "Abort" "All"
| "Admitted"
| "Qed"
| "Save" identref
| "Defined"
| "Defined" identref
| "Restart"
| "Undo"
| "Undo" natural
| "Undo" "To" natural
| "Focus"
| "Focus" natural
| "Unfocus"
| "Unfocused"
| "Show"
| "Show" natural
| "Show" ident
| "Show" "Existentials"
| "Show" "Universes"
| "Show" "Conjectures"
| "Show" "Proof"
| "Show" "Intro"
| "Show" "Intros"
| "Show" "Match" reference
| "Guarded"
| "Validate" "Proof"
| "Create" "HintDb" IDENT; [ "discriminated" | ]
| "Remove" "Hints" LIST1 global opt_hintbases
| "Hint" hint opt_hintbases
| "Comments" LIST0 comment
| "Declare" "Instance" ident_decl binders ":" term200 hint_info
| "Declare" "Scope" IDENT
| "Pwd"
| "Cd"
| "Cd" ne_string
| "Load" [ "Verbose" | ] [ ne_string | IDENT ]
| "Declare" "ML" "Module" LIST1 ne_string
| "Locate" locatable
| "Add" "LoadPath" ne_string "as" dirpath
| "Add" "Rec" "LoadPath" ne_string "as" dirpath
| "Remove" "LoadPath" ne_string
| "Type" lconstr
| "Print" printable
| "Print" smart_global OPT univ_name_list
| "Print" "Module" "Type" global
| "Print" "Module" global
| "Print" "Namespace" dirpath
| "Inspect" natural
| "Add" "ML" "Path" ne_string
| "Set" setting_name option_setting
| "Unset" setting_name
| "Print" "Table" setting_name
| "Add" IDENT IDENT LIST1 table_value
| "Add" IDENT LIST1 table_value
| "Test" setting_name "for" LIST1 table_value
| "Test" setting_name
| "Remove" IDENT IDENT LIST1 table_value
| "Remove" IDENT LIST1 table_value
| "Reset" "Initial"
| "Reset" identref
| "Back"
| "Back" natural
| "Debug" "On"
| "Debug" "Off"
| "Declare" "Reduction" IDENT; ":=" red_expr
| "Declare" "Custom" "Entry" IDENT
| "Derive" identref "SuchThat" constr "As" identref (* derive plugin *)
| "Extraction" global (* extraction plugin *)
| "Recursive" "Extraction" LIST1 global (* extraction plugin *)
| "Extraction" string LIST1 global (* extraction plugin *)
| "Extraction" "TestCompile" LIST1 global (* extraction plugin *)
| "Separate" "Extraction" LIST1 global (* extraction plugin *)
| "Extraction" "Library" identref (* extraction plugin *)
| "Recursive" "Extraction" "Library" identref (* extraction plugin *)
| "Extraction" "Language" language (* extraction plugin *)
| "Extraction" "Inline" LIST1 global (* extraction plugin *)
| "Extraction" "NoInline" LIST1 global (* extraction plugin *)
| "Print" "Extraction" "Inline" (* extraction plugin *)
| "Reset" "Extraction" "Inline" (* extraction plugin *)
| "Extraction" "Implicit" global "[" LIST0 int_or_id "]" (* extraction plugin *)
| "Extraction" "Blacklist" LIST1 preident (* extraction plugin *)
| "Print" "Extraction" "Blacklist" (* extraction plugin *)
| "Reset" "Extraction" "Blacklist" (* extraction plugin *)
| "Extract" "Constant" global LIST0 string "=>" mlname (* extraction plugin *)
| "Extract" "Inlined" "Constant" global "=>" mlname (* extraction plugin *)
| "Extract" "Inductive" global "=>" mlname "[" LIST0 mlname "]" OPT string (* extraction plugin *)
| "Show" "Extraction" (* extraction plugin *)
| "Set" "Firstorder" "Solver" tactic
| "Print" "Firstorder" "Solver"
| "Function" LIST1 function_fix_definition SEP "with" (* funind plugin *)
| "Functional" "Scheme" LIST1 fun_scheme_arg SEP "with" (* funind plugin *)
| "Functional" "Case" fun_scheme_arg (* funind plugin *)
| "Generate" "graph" "for" reference (* funind plugin *)
| "Hint" "Rewrite" orient LIST1 constr ":" LIST0 preident
| "Hint" "Rewrite" orient LIST1 constr "using" tactic ":" LIST0 preident
| "Hint" "Rewrite" orient LIST1 constr
| "Hint" "Rewrite" orient LIST1 constr "using" tactic
| "Derive" "Inversion_clear" ident "with" constr "Sort" sort_family
| "Derive" "Inversion_clear" ident "with" constr
| "Derive" "Inversion" ident "with" constr "Sort" sort_family
| "Derive" "Inversion" ident "with" constr
| "Derive" "Dependent" "Inversion" ident "with" constr "Sort" sort_family
| "Derive" "Dependent" "Inversion_clear" ident "with" constr "Sort" sort_family
| "Declare" "Left" "Step" constr
| "Declare" "Right" "Step" constr
| "Unshelve"
| "Declare" "Equivalent" "Keys" constr constr
| "Print" "Equivalent" "Keys"
| "Optimize" "Proof"
| "Optimize" "Heap"
| "infoH" tactic
| "Hint" "Cut" "[" hints_path "]" opthints
| "Typeclasses" "Transparent" LIST1 reference
| "Typeclasses" "Opaque" LIST1 reference
| "Typeclasses" "eauto" ":=" debug eauto_search_strategy OPT natural
| "Proof" "with" Pltac.tactic OPT [ "using" G_vernac.section_subset_expr ]
| "Proof" "using" G_vernac.section_subset_expr "with" Pltac.tactic
| "Tactic" "Notation" OPT ltac_tactic_level LIST1 ltac_production_item ":=" tactic
| "Print" "Ltac" reference
| "Locate" "Ltac" reference
| "Ltac" LIST1 ltac_tacdef_body SEP "with"
| "Print" "Ltac" "Signatures"
| "Obligation" natural "of" identref ":" lglob withtac
| "Obligation" natural "of" identref withtac
| "Obligation" natural ":" lglob withtac
| "Obligation" natural withtac
| "Next" "Obligation" "of" identref withtac
| "Next" "Obligation" withtac
| "Final" "Obligation" "of" identref withtac
| "Final" "Obligation" withtac
| "Solve" "Obligations" "of" identref "with" tactic
| "Solve" "Obligations" "of" identref
| "Solve" "Obligations" "with" tactic
| "Solve" "Obligations"
| "Solve" "All" "Obligations" "with" tactic
| "Solve" "All" "Obligations"
| "Admit" "Obligations" "of" identref
| "Admit" "Obligations"
| "Obligation" "Tactic" ":=" tactic
| "Show" "Obligation" "Tactic"
| "Obligations" "of" identref
| "Obligations"
| "Preterm" "of" identref
| "Preterm"
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "as" identref
| "Add" "Relation" constr constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Setoid" constr constr constr "as" identref
| "Add" "Parametric" "Setoid" binders ":" constr constr constr "as" identref
| "Add" "Morphism" constr ":" identref
| "Declare" "Morphism" constr ":" identref
| "Add" "Morphism" constr "with" "signature" lconstr "as" identref
| "Add" "Parametric" "Morphism" binders ":" constr "with" "signature" lconstr "as" identref
| "Print" "Rewrite" "HintDb" preident
| "Reset" "Ltac" "Profile"
| "Show" "Ltac" "Profile"
| "Show" "Ltac" "Profile" "CutOff" integer
| "Show" "Ltac" "Profile" string
| "Show" "Lia" "Profile" (* micromega plugin *)
| "Add" "Zify" "InjTyp" reference (* micromega plugin *)
| "Add" "Zify" "BinOp" reference (* micromega plugin *)
| "Add" "Zify" "UnOp" reference (* micromega plugin *)
| "Add" "Zify" "CstOp" reference (* micromega plugin *)
| "Add" "Zify" "BinRel" reference (* micromega plugin *)
| "Add" "Zify" "PropOp" reference (* micromega plugin *)
| "Add" "Zify" "PropBinOp" reference (* micromega plugin *)
| "Add" "Zify" "PropUOp" reference (* micromega plugin *)
| "Add" "Zify" "BinOpSpec" reference (* micromega plugin *)
| "Add" "Zify" "UnOpSpec" reference (* micromega plugin *)
| "Add" "Zify" "Saturate" reference (* micromega plugin *)
| "Show" "Zify" "InjTyp" (* micromega plugin *)
| "Show" "Zify" "BinOp" (* micromega plugin *)
| "Show" "Zify" "UnOp" (* micromega plugin *)
| "Show" "Zify" "CstOp" (* micromega plugin *)
| "Show" "Zify" "BinRel" (* micromega plugin *)
| "Show" "Zify" "UnOpSpec" (* micromega plugin *)
| "Show" "Zify" "BinOpSpec" (* micromega plugin *)
| "Add" "Ring" identref ":" constr OPT ring_mods (* ring plugin *)
| "Print" "Rings" (* ring plugin *)
| "Add" "Field" identref ":" constr OPT field_mods (* ring plugin *)
| "Print" "Fields" (* ring plugin *)
| "Number" "Notation" reference reference reference OPT number_options ":" preident
| "String" "Notation" reference reference reference OPT string_option ":" preident
| "Ltac2" ltac2_entry (* ltac2 plugin *)
| "Ltac2" "Notation" ltac2def_syn (* ltac2 plugin *)
| "Ltac2" "Eval" ltac2_expr6 (* ltac2 plugin *)
| "Print" "Ltac2" reference (* ltac2 plugin *)
| "Locate" "Ltac2" reference (* ltac2 plugin *)
| "Print" "Ltac2" "Signatures" (* ltac2 plugin *)
]
reference_or_constr: [
| global
| constr
]
hint: [
| "Resolve" LIST1 reference_or_constr hint_info
| "Resolve" "->" LIST1 global OPT natural
| "Resolve" "<-" LIST1 global OPT natural
| "Immediate" LIST1 reference_or_constr
| "Variables" "Transparent"
| "Variables" "Opaque"
| "Constants" "Transparent"
| "Constants" "Opaque"
| "Transparent" LIST1 global
| "Opaque" LIST1 global
| "Mode" global mode
| "Unfold" LIST1 global
| "Constructors" LIST1 global
| "Extern" natural OPT Constr.constr_pattern "=>" Pltac.tactic
]
constr_body: [
| ":=" lconstr
| ":" lconstr ":=" lconstr
]
mode: [
| LIST1 [ "+" | "!" | "-" ]
]
vernac_control: [
| "Time" vernac_control
| "Redirect" ne_string vernac_control
| "Timeout" natural vernac_control
| "Fail" vernac_control
| "Succeed" vernac_control
| decorated_vernac
]
decorated_vernac: [
| LIST0 quoted_attributes vernac
]
quoted_attributes: [
| "#[" attribute_list "]"
]
attribute_list: [
| LIST0 attribute SEP ","
]
attribute: [
| ident attr_value
| "using" attr_value
]
attr_value: [
| "=" string
| "=" IDENT
| "(" attribute_list ")"
|
]
legacy_attr: [
| "Local"
| "Global"
| "Polymorphic"
| "Monomorphic"
| "Cumulative"
| "NonCumulative"
| "Private"
| "Program"
]
vernac: [
| LIST0 legacy_attr vernac_aux
]
vernac_aux: [
| gallina "."
| gallina_ext "."
| command "."
| syntax "."
| subprf
| command_entry
]
noedit_mode: [
| query_command
]
subprf: [
| BULLET
| "{"
| "}"
]
gallina: [
| thm_token ident_decl binders ":" lconstr LIST0 [ "with" ident_decl binders ":" lconstr ]
| assumption_token inline assum_list
| assumptions_token inline assum_list
| def_token ident_decl def_body
| "Let" ident_decl def_body
| finite_token inductive_or_record_definition
| inductive_token LIST1 inductive_or_record_definition SEP "with"
| "Fixpoint" LIST1 fix_definition SEP "with"
| "Let" "Fixpoint" LIST1 fix_definition SEP "with"
| "CoFixpoint" LIST1 cofix_definition SEP "with"
| "Let" "CoFixpoint" LIST1 cofix_definition SEP "with"
| "Scheme" LIST1 scheme SEP "with"
| "Scheme" "Equality" "for" smart_global
| "Scheme" "Boolean" "Equality" "for" smart_global
| "Combined" "Scheme" identref "from" LIST1 identref SEP ","
| "Register" global "as" qualid
| "Register" "Inline" global
| "Primitive" ident_decl OPT [ ":" lconstr ] ":=" register_token
| "Universe" LIST1 identref
| "Universes" LIST1 identref
| "Constraint" LIST1 univ_constraint SEP ","
]
register_token: [
| test_hash_ident "#" IDENT
]
thm_token: [
| "Theorem"
| "Lemma"
| "Fact"
| "Remark"
| "Corollary"
| "Proposition"
| "Property"
]
def_token: [
| "Definition"
| "Example"
| "SubClass"
]
assumption_token: [
| "Hypothesis"
| "Variable"
| "Axiom"
| "Parameter"
| "Conjecture"
]
assumptions_token: [
| "Hypotheses"
| "Variables"
| "Axioms"
| "Parameters"
| "Conjectures"
]
inline: [
| "Inline" "(" natural ")"
| "Inline"
|
]
univ_constraint: [
| universe_name [ "<" | "=" | "<=" ] universe_name
]
univ_decl: [
| "@{" LIST0 identref [ "+" | ] [ "|" LIST0 univ_constraint SEP "," [ "+" | ] "}" | [ "}" | bar_cbrace ] ]
]
variance: [
| "+"
| "="
| "*"
]
variance_identref: [
| identref
| test_variance_ident variance identref
]
cumul_univ_decl: [
| "@{" LIST0 variance_identref [ "+" | ] [ "|" LIST0 univ_constraint SEP "," [ "+" | ] "}" | [ "}" | bar_cbrace ] ]
]
ident_decl: [
| identref OPT univ_decl
]
cumul_ident_decl: [
| identref OPT cumul_univ_decl
]
inductive_token: [
| "Inductive"
| "CoInductive"
]
finite_token: [
| "Variant"
| "Record"
| "Structure"
| "Class"
]
def_body: [
| binders ":=" reduce lconstr
| binders ":" lconstr ":=" reduce lconstr
| binders ":" lconstr
]
reduce: [
| "Eval" red_expr "in"
|
]
notation_declaration: [
| lstring ":=" constr syntax_modifiers OPT [ ":" IDENT ]
]
decl_sep: [
| "and"
]
decl_notations: [
| "where" LIST1 notation_declaration SEP decl_sep
|
]
opt_constructors_or_fields: [
| ":=" constructors_or_record
|
]
inductive_or_record_definition: [
| opt_coercion cumul_ident_decl binders OPT [ "|" binders ] OPT [ ":" lconstr ] opt_constructors_or_fields decl_notations
]
constructors_or_record: [
| "|" LIST1 constructor SEP "|"
| identref constructor_type "|" LIST1 constructor SEP "|"
| identref constructor_type
| identref "{" record_fields "}" default_inhabitant_ident
| "{" record_fields "}" default_inhabitant_ident
|
]
default_inhabitant_ident: [
| "as" identref
|
]
opt_coercion: [
| ">"
|
]
fix_definition: [
| ident_decl binders_fixannot type_cstr OPT [ ":=" lconstr ] decl_notations
]
cofix_definition: [
| ident_decl binders type_cstr OPT [ ":=" lconstr ] decl_notations
]
scheme: [
| scheme_kind
| identref ":=" scheme_kind
]
scheme_kind: [
| scheme_type "for" smart_global "Sort" sort_family
]
scheme_type: [
| "Induction"
| "Minimality"
| "Elimination"
| "Case"
]
record_field: [
| LIST0 quoted_attributes record_binder OPT [ "|" natural ] decl_notations
]
record_fields: [
| record_field ";" record_fields
| record_field
|
]
field_body: [
| binders of_type_inst lconstr
| binders of_type_inst lconstr ":=" lconstr
| binders ":=" lconstr
]