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"""
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pygments.lexers.theorem
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|
~~~~~~~~~~~~~~~~~~~~~~~
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Lexers for theorem-proving languages.
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See also :mod:`pygments.lexers.lean`
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:copyright: Copyright 2006-2025 by the Pygments team, see AUTHORS.
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:license: BSD, see LICENSE for details.
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"""
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from pygments.lexer import RegexLexer, bygroups, default, words
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from pygments.token import Text, Comment, Operator, Keyword, Name, String, \
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Number, Punctuation, Generic, Whitespace
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# compatibility import
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from pygments.lexers.lean import LeanLexer # noqa: F401
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__all__ = ['CoqLexer', 'IsabelleLexer']
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class CoqLexer(RegexLexer):
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"""
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For the Coq theorem prover.
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"""
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name = 'Coq'
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url = 'http://coq.inria.fr/'
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aliases = ['coq']
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filenames = ['*.v']
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mimetypes = ['text/x-coq']
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version_added = '1.5'
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flags = 0 # no re.MULTILINE
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keywords1 = (
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# Vernacular commands
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'Section', 'Module', 'End', 'Require', 'Import', 'Export', 'Include', 'Variable',
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|
'Variables', 'Parameter', 'Parameters', 'Axiom', 'Axioms', 'Hypothesis',
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|
'Hypotheses', 'Notation', 'Local', 'Tactic', 'Reserved', 'Scope',
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|
'Open', 'Close', 'Bind', 'Declare', 'Delimit', 'Definition', 'Example', 'Let',
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|
'Ltac', 'Ltac2', 'Fixpoint', 'CoFixpoint', 'Morphism', 'Relation', 'Implicit',
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|
'Arguments', 'Types', 'Contextual', 'Strict', 'Prenex',
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|
'Implicits', 'Inductive', 'CoInductive', 'Record', 'Structure',
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'Variant', 'Canonical', 'Coercion', 'Theorem', 'Lemma', 'Fact',
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|
'Remark', 'Corollary', 'Proposition', 'Property', 'Goal',
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|
'Proof', 'Restart', 'Save', 'Qed', 'Defined', 'Abort', 'Admitted',
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|
'Hint', 'Resolve', 'Rewrite', 'View', 'Search', 'Compute', 'Eval',
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|
'Show', 'Print', 'Printing', 'All', 'Graph', 'Projections', 'inside',
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|
'outside', 'Check', 'Global', 'Instance', 'Class', 'Existing',
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|
'Universe', 'Polymorphic', 'Monomorphic', 'Context', 'Scheme', 'From',
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|
'Undo', 'Fail', 'Function', 'Program', 'Elpi', 'Extract', 'Opaque',
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'Transparent', 'Unshelve', 'Next Obligation',
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|
)
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keywords2 = (
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|
# Gallina
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|
'forall', 'exists', 'exists2', 'fun', 'fix', 'cofix', 'struct',
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'match', 'end', 'in', 'return', 'let', 'if', 'is', 'then', 'else',
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|
'for', 'of', 'nosimpl', 'with', 'as',
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)
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keywords3 = (
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# Sorts
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|
'Type', 'Prop', 'SProp', 'Set',
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)
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keywords4 = (
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|
# Tactics
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'pose', 'set', 'move', 'case', 'elim', 'apply', 'clear', 'hnf', 'intro',
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'intros', 'generalize', 'rename', 'pattern', 'after', 'destruct',
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'induction', 'using', 'refine', 'inversion', 'injection', 'rewrite',
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'congr', 'unlock', 'compute', 'ring', 'field', 'replace', 'fold',
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'unfold', 'change', 'cutrewrite', 'simpl', 'have', 'suff', 'wlog',
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'suffices', 'without', 'loss', 'nat_norm', 'assert', 'cut', 'trivial',
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'revert', 'bool_congr', 'nat_congr', 'symmetry', 'transitivity', 'auto',
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'split', 'left', 'right', 'autorewrite', 'tauto', 'setoid_rewrite',
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'intuition', 'eauto', 'eapply', 'econstructor', 'etransitivity',
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'constructor', 'erewrite', 'red', 'cbv', 'lazy', 'vm_compute',
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'native_compute', 'subst',
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)
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keywords5 = (
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|
# Terminators
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|
'by', 'now', 'done', 'exact', 'reflexivity',
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'tauto', 'romega', 'omega', 'lia', 'nia', 'lra', 'nra', 'psatz',
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'assumption', 'solve', 'contradiction', 'discriminate',
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'congruence', 'admit'
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|
)
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keywords6 = (
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# Control
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'do', 'last', 'first', 'try', 'idtac', 'repeat',
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)
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# 'as', 'assert', 'begin', 'class', 'constraint', 'do', 'done',
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# 'downto', 'else', 'end', 'exception', 'external', 'false',
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# 'for', 'fun', 'function', 'functor', 'if', 'in', 'include',
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# 'inherit', 'initializer', 'lazy', 'let', 'match', 'method',
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# 'module', 'mutable', 'new', 'object', 'of', 'open', 'private',
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# 'raise', 'rec', 'sig', 'struct', 'then', 'to', 'true', 'try',
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# 'type', 'val', 'virtual', 'when', 'while', 'with'
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keyopts = (
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|
'!=', '#', '&', '&&', r'\(', r'\)', r'\*', r'\+', ',', '-', r'-\.',
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'->', r'\.', r'\.\.', ':', '::', ':=', ':>', ';', ';;', '<', '<-',
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|
'<->', '=', '>', '>]', r'>\}', r'\?', r'\?\?', r'\[', r'\[<', r'\[>',
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|
r'\[\|', ']', '_', '`', r'\{', r'\{<', r'lp:\{\{', r'\|', r'\|]', r'\}', '~', '=>',
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r'/\\', r'\\/', r'\{\|', r'\|\}',
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# 'Π', 'Σ', # Not defined in the standard library
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'λ', '¬', '∧', '∨', '∀', '∃', '→', '↔', '≠', '≤', '≥',
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)
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operators = r'[!$%&*+\./:<=>?@^|~-]'
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prefix_syms = r'[!?~]'
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|
infix_syms = r'[=<>@^|&+\*/$%-]'
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tokens = {
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'root': [
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|
(r'\s+', Text),
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|
(r'false|true|\(\)|\[\]', Name.Builtin.Pseudo),
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|
(r'\(\*', Comment, 'comment'),
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|
(r'\b(?:[^\W\d][\w\']*\.)+[^\W\d][\w\']*\b', Name),
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|
(r'\bEquations\b\??', Keyword.Namespace),
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|
(r'\b(Elpi)(\s+)(Program|Query|Accumulate|Command|Typecheck|Db|Export|Tactic)?\b', bygroups(Keyword.Namespace,Text,Keyword.Namespace)),
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|
# Very weak heuristic to distinguish the Set vernacular from the Set sort
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(r'\bUnset\b|\bSet(?=[ \t]+[A-Z][a-z][^\n]*?\.)', Keyword.Namespace, 'set-options'),
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|
(r'\b(?:String|Number)\s+Notation', Keyword.Namespace, 'sn-notation'),
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(words(keywords1, prefix=r'\b', suffix=r'\b'), Keyword.Namespace),
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|
(words(keywords2, prefix=r'\b', suffix=r'\b'), Keyword),
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|
(words(keywords3, prefix=r'\b', suffix=r'\b'), Keyword.Type),
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|
(words(keywords4, prefix=r'\b', suffix=r'\b'), Keyword),
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|
(words(keywords5, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo),
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|
(words(keywords6, prefix=r'\b', suffix=r'\b'), Keyword.Reserved),
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# (r'\b([A-Z][\w\']*)(\.)', Name.Namespace, 'dotted'),
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|
(r'\b([A-Z][\w\']*)', Name),
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|
(r'({})'.format('|'.join(keyopts[::-1])), Operator),
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|
(rf'({infix_syms}|{prefix_syms})?{operators}', Operator),
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|
(r"[^\W\d][\w']*", Name),
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|
(r'\d[\d_]*', Number.Integer),
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|
(r'0[xX][\da-fA-F][\da-fA-F_]*', Number.Hex),
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|
(r'0[oO][0-7][0-7_]*', Number.Oct),
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|
(r'0[bB][01][01_]*', Number.Bin),
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|
(r'-?\d[\d_]*(.[\d_]*)?([eE][+\-]?\d[\d_]*)', Number.Float),
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|
(r"'(?:(\\[\\\"'ntbr ])|(\\[0-9]{3})|(\\x[0-9a-fA-F]{2}))'", String.Char),
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|
(r"'.'", String.Char),
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|
(r"'", Keyword), # a stray quote is another syntax element
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|
(r'"', String.Double, 'string'),
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|
(r'[~?][a-z][\w\']*:', Name),
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|
(r'\S', Name.Builtin.Pseudo),
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|
],
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|
'set-options': [
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|
(r'\s+', Text),
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|
(r'[A-Z]\w*', Keyword.Namespace),
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|
(r'"', String.Double, 'string'),
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|
(r'\d+', Number.Integer),
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|
(r'\.', Punctuation, '#pop'),
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|
],
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|
'sn-notation': [
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|
(r'\s+', Text),
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|
# Extra keywords to highlight only in this scope
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|
(r'\b(?:via|mapping|abstract|warning|after)\b', Keyword),
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|
(r'=>|[()\[\]:,]', Operator),
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|
(r'\b[^\W\d][\w\']*(?:\.[^\W\d][\w\']*)*\b', Name),
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|
|
(r'\d[\d_]*', Number.Integer),
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|
(r'0[xX][\da-fA-F][\da-fA-F_]*', Number.Hex),
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|
(r'\(\*', Comment, 'comment'),
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|
(r'\.', Punctuation, '#pop'),
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|
],
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|
'comment': [
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|
# Consume comments like ***** as one token
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|
(r'([^(*)]+|\*+(?!\)))+', Comment),
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|
(r'\(\*', Comment, '#push'),
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|
(r'\*\)', Comment, '#pop'),
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|
|
(r'[(*)]', Comment),
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|
|
],
|
|
|
'string': [
|
|
|
(r'[^"]+', String.Double),
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|
|
(r'""', String.Double),
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|
|
(r'"', String.Double, '#pop'),
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|
|
],
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|
'dotted': [
|
|
|
(r'\s+', Text),
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|
(r'\.', Punctuation),
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|
(r'[A-Z][\w\']*(?=\s*\.)', Name.Namespace),
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|
(r'[A-Z][\w\']*', Name.Class, '#pop'),
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|
(r'[a-z][a-z0-9_\']*', Name, '#pop'),
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|
default('#pop')
|
|
|
],
|
|
|
}
|
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|
|
def analyse_text(text):
|
|
|
if 'Qed' in text and 'Proof' in text:
|
|
|
return 1
|
|
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|
|
|
|
|
|
class IsabelleLexer(RegexLexer):
|
|
|
"""
|
|
|
For the Isabelle proof assistant.
|
|
|
"""
|
|
|
|
|
|
name = 'Isabelle'
|
|
|
url = 'https://isabelle.in.tum.de/'
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|
|
aliases = ['isabelle']
|
|
|
filenames = ['*.thy']
|
|
|
mimetypes = ['text/x-isabelle']
|
|
|
version_added = '2.0'
|
|
|
|
|
|
keyword_minor = (
|
|
|
'and', 'assumes', 'attach', 'avoids', 'binder', 'checking',
|
|
|
'class_instance', 'class_relation', 'code_module', 'congs',
|
|
|
'constant', 'constrains', 'datatypes', 'defines', 'file', 'fixes',
|
|
|
'for', 'functions', 'hints', 'identifier', 'if', 'imports', 'in',
|
|
|
'includes', 'infix', 'infixl', 'infixr', 'is', 'keywords', 'lazy',
|
|
|
'module_name', 'monos', 'morphisms', 'no_discs_sels', 'notes',
|
|
|
'obtains', 'open', 'output', 'overloaded', 'parametric', 'permissive',
|
|
|
'pervasive', 'rep_compat', 'shows', 'structure', 'type_class',
|
|
|
'type_constructor', 'unchecked', 'unsafe', 'where',
|
|
|
)
|
|
|
|
|
|
keyword_diag = (
|
|
|
'ML_command', 'ML_val', 'class_deps', 'code_deps', 'code_thms',
|
|
|
'display_drafts', 'find_consts', 'find_theorems', 'find_unused_assms',
|
|
|
'full_prf', 'help', 'locale_deps', 'nitpick', 'pr', 'prf',
|
|
|
'print_abbrevs', 'print_antiquotations', 'print_attributes',
|
|
|
'print_binds', 'print_bnfs', 'print_bundles',
|
|
|
'print_case_translations', 'print_cases', 'print_claset',
|
|
|
'print_classes', 'print_codeproc', 'print_codesetup',
|
|
|
'print_coercions', 'print_commands', 'print_context',
|
|
|
'print_defn_rules', 'print_dependencies', 'print_facts',
|
|
|
'print_induct_rules', 'print_inductives', 'print_interps',
|
|
|
'print_locale', 'print_locales', 'print_methods', 'print_options',
|
|
|
'print_orders', 'print_quot_maps', 'print_quotconsts',
|
|
|
'print_quotients', 'print_quotientsQ3', 'print_quotmapsQ3',
|
|
|
'print_rules', 'print_simpset', 'print_state', 'print_statement',
|
|
|
'print_syntax', 'print_theorems', 'print_theory', 'print_trans_rules',
|
|
|
'prop', 'pwd', 'quickcheck', 'refute', 'sledgehammer', 'smt_status',
|
|
|
'solve_direct', 'spark_status', 'term', 'thm', 'thm_deps', 'thy_deps',
|
|
|
'try', 'try0', 'typ', 'unused_thms', 'value', 'values', 'welcome',
|
|
|
'print_ML_antiquotations', 'print_term_bindings', 'values_prolog',
|
|
|
)
|
|
|
|
|
|
keyword_thy = ('theory', 'begin', 'end')
|
|
|
|
|
|
keyword_section = ('header', 'chapter')
|
|
|
|
|
|
keyword_subsection = (
|
|
|
'section', 'subsection', 'subsubsection', 'sect', 'subsect',
|
|
|
'subsubsect',
|
|
|
)
|
|
|
|
|
|
keyword_theory_decl = (
|
|
|
'ML', 'ML_file', 'abbreviation', 'adhoc_overloading', 'arities',
|
|
|
'atom_decl', 'attribute_setup', 'axiomatization', 'bundle',
|
|
|
'case_of_simps', 'class', 'classes', 'classrel', 'codatatype',
|
|
|
'code_abort', 'code_class', 'code_const', 'code_datatype',
|
|
|
'code_identifier', 'code_include', 'code_instance', 'code_modulename',
|
|
|
'code_monad', 'code_printing', 'code_reflect', 'code_reserved',
|
|
|
'code_type', 'coinductive', 'coinductive_set', 'consts', 'context',
|
|
|
'datatype', 'datatype_new', 'datatype_new_compat', 'declaration',
|
|
|
'declare', 'default_sort', 'defer_recdef', 'definition', 'defs',
|
|
|
'domain', 'domain_isomorphism', 'domaindef', 'equivariance',
|
|
|
'export_code', 'extract', 'extract_type', 'fixrec', 'fun',
|
|
|
'fun_cases', 'hide_class', 'hide_const', 'hide_fact', 'hide_type',
|
|
|
'import_const_map', 'import_file', 'import_tptp', 'import_type_map',
|
|
|
'inductive', 'inductive_set', 'instantiation', 'judgment', 'lemmas',
|
|
|
'lifting_forget', 'lifting_update', 'local_setup', 'locale',
|
|
|
'method_setup', 'nitpick_params', 'no_adhoc_overloading',
|
|
|
'no_notation', 'no_syntax', 'no_translations', 'no_type_notation',
|
|
|
'nominal_datatype', 'nonterminal', 'notation', 'notepad', 'oracle',
|
|
|
'overloading', 'parse_ast_translation', 'parse_translation',
|
|
|
'partial_function', 'primcorec', 'primrec', 'primrec_new',
|
|
|
'print_ast_translation', 'print_translation', 'quickcheck_generator',
|
|
|
'quickcheck_params', 'realizability', 'realizers', 'recdef', 'record',
|
|
|
'refute_params', 'setup', 'setup_lifting', 'simproc_setup',
|
|
|
'simps_of_case', 'sledgehammer_params', 'spark_end', 'spark_open',
|
|
|
'spark_open_siv', 'spark_open_vcg', 'spark_proof_functions',
|
|
|
'spark_types', 'statespace', 'syntax', 'syntax_declaration', 'text',
|
|
|
'text_raw', 'theorems', 'translations', 'type_notation',
|
|
|
'type_synonym', 'typed_print_translation', 'typedecl', 'hoarestate',
|
|
|
'install_C_file', 'install_C_types', 'wpc_setup', 'c_defs', 'c_types',
|
|
|
'memsafe', 'SML_export', 'SML_file', 'SML_import', 'approximate',
|
|
|
'bnf_axiomatization', 'cartouche', 'datatype_compat',
|
|
|
'free_constructors', 'functor', 'nominal_function',
|
|
|
'nominal_termination', 'permanent_interpretation',
|
|
|
'binds', 'defining', 'smt2_status', 'term_cartouche',
|
|
|
'boogie_file', 'text_cartouche',
|
|
|
)
|
|
|
|
|
|
keyword_theory_script = ('inductive_cases', 'inductive_simps')
|
|
|
|
|
|
keyword_theory_goal = (
|
|
|
'ax_specification', 'bnf', 'code_pred', 'corollary', 'cpodef',
|
|
|
'crunch', 'crunch_ignore',
|
|
|
'enriched_type', 'function', 'instance', 'interpretation', 'lemma',
|
|
|
'lift_definition', 'nominal_inductive', 'nominal_inductive2',
|
|
|
'nominal_primrec', 'pcpodef', 'primcorecursive',
|
|
|
'quotient_definition', 'quotient_type', 'recdef_tc', 'rep_datatype',
|
|
|
'schematic_corollary', 'schematic_lemma', 'schematic_theorem',
|
|
|
'spark_vc', 'specification', 'subclass', 'sublocale', 'termination',
|
|
|
'theorem', 'typedef', 'wrap_free_constructors',
|
|
|
)
|
|
|
|
|
|
keyword_qed = ('by', 'done', 'qed')
|
|
|
keyword_abandon_proof = ('sorry', 'oops')
|
|
|
|
|
|
keyword_proof_goal = ('have', 'hence', 'interpret')
|
|
|
|
|
|
keyword_proof_block = ('next', 'proof')
|
|
|
|
|
|
keyword_proof_chain = (
|
|
|
'finally', 'from', 'then', 'ultimately', 'with',
|
|
|
)
|
|
|
|
|
|
keyword_proof_decl = (
|
|
|
'ML_prf', 'also', 'include', 'including', 'let', 'moreover', 'note',
|
|
|
'txt', 'txt_raw', 'unfolding', 'using', 'write',
|
|
|
)
|
|
|
|
|
|
keyword_proof_asm = ('assume', 'case', 'def', 'fix', 'presume')
|
|
|
|
|
|
keyword_proof_asm_goal = ('guess', 'obtain', 'show', 'thus')
|
|
|
|
|
|
keyword_proof_script = (
|
|
|
'apply', 'apply_end', 'apply_trace', 'back', 'defer', 'prefer',
|
|
|
)
|
|
|
|
|
|
operators = (
|
|
|
'::', ':', '(', ')', '[', ']', '_', '=', ',', '|',
|
|
|
'+', '-', '!', '?',
|
|
|
)
|
|
|
|
|
|
proof_operators = ('{', '}', '.', '..')
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tokens = {
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'root': [
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(r'\s+', Whitespace),
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|
(r'\(\*', Comment, 'comment'),
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|
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(r'\\<open>', String.Symbol, 'cartouche'),
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|
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(r'\{\*|‹', String, 'cartouche'),
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|
|
|
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(words(operators), Operator),
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|
(words(proof_operators), Operator.Word),
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|
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(words(keyword_minor, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo),
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|
|
|
|
(words(keyword_diag, prefix=r'\b', suffix=r'\b'), Keyword.Type),
|
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|
|
|
|
(words(keyword_thy, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
(words(keyword_theory_decl, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
|
|
|
(words(keyword_section, prefix=r'\b', suffix=r'\b'), Generic.Heading),
|
|
|
(words(keyword_subsection, prefix=r'\b', suffix=r'\b'), Generic.Subheading),
|
|
|
|
|
|
(words(keyword_theory_goal, prefix=r'\b', suffix=r'\b'), Keyword.Namespace),
|
|
|
(words(keyword_theory_script, prefix=r'\b', suffix=r'\b'), Keyword.Namespace),
|
|
|
|
|
|
(words(keyword_abandon_proof, prefix=r'\b', suffix=r'\b'), Generic.Error),
|
|
|
|
|
|
(words(keyword_qed, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
(words(keyword_proof_goal, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
(words(keyword_proof_block, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
(words(keyword_proof_decl, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
|
|
|
(words(keyword_proof_chain, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
(words(keyword_proof_asm, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
(words(keyword_proof_asm_goal, prefix=r'\b', suffix=r'\b'), Keyword),
|
|
|
|
|
|
(words(keyword_proof_script, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo),
|
|
|
|
|
|
(r'\\<(\w|\^)*>', Text.Symbol),
|
|
|
|
|
|
(r"'[^\W\d][.\w']*", Name.Type),
|
|
|
|
|
|
(r'0[xX][\da-fA-F][\da-fA-F_]*', Number.Hex),
|
|
|
(r'0[oO][0-7][0-7_]*', Number.Oct),
|
|
|
(r'0[bB][01][01_]*', Number.Bin),
|
|
|
|
|
|
(r'"', String, 'string'),
|
|
|
(r'`', String.Other, 'fact'),
|
|
|
(r'[^\s:|\[\]\-()=,+!?{}._][^\s:|\[\]\-()=,+!?{}]*', Name),
|
|
|
],
|
|
|
'comment': [
|
|
|
(r'[^(*)]+', Comment),
|
|
|
(r'\(\*', Comment, '#push'),
|
|
|
(r'\*\)', Comment, '#pop'),
|
|
|
(r'[(*)]', Comment),
|
|
|
],
|
|
|
'cartouche': [
|
|
|
(r'[^{*}\\‹›]+', String),
|
|
|
(r'\\<open>', String.Symbol, '#push'),
|
|
|
(r'\{\*|‹', String, '#push'),
|
|
|
(r'\\<close>', String.Symbol, '#pop'),
|
|
|
(r'\*\}|›', String, '#pop'),
|
|
|
(r'\\<(\w|\^)*>', String.Symbol),
|
|
|
(r'[{*}\\]', String),
|
|
|
],
|
|
|
'string': [
|
|
|
(r'[^"\\]+', String),
|
|
|
(r'\\<(\w|\^)*>', String.Symbol),
|
|
|
(r'\\"', String),
|
|
|
(r'\\', String),
|
|
|
(r'"', String, '#pop'),
|
|
|
],
|
|
|
'fact': [
|
|
|
(r'[^`\\]+', String.Other),
|
|
|
(r'\\<(\w|\^)*>', String.Symbol),
|
|
|
(r'\\`', String.Other),
|
|
|
(r'\\', String.Other),
|
|
|
(r'`', String.Other, '#pop'),
|
|
|
],
|
|
|
}
|