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Code Editor : theorem.py
""" pygments.lexers.theorem ~~~~~~~~~~~~~~~~~~~~~~~ Lexers for theorem-proving languages. :copyright: Copyright 2006-2021 by the Pygments team, see AUTHORS. :license: BSD, see LICENSE for details. """ import re from pygments.lexer import RegexLexer, default, words from pygments.token import Text, Comment, Operator, Keyword, Name, String, \ Number, Punctuation, Generic __all__ = ['CoqLexer', 'IsabelleLexer', 'LeanLexer'] class CoqLexer(RegexLexer): """ For the `Coq <http://coq.inria.fr/>`_ theorem prover. .. versionadded:: 1.5 """ name = 'Coq' aliases = ['coq'] filenames = ['*.v'] mimetypes = ['text/x-coq'] flags = re.UNICODE keywords1 = ( # Vernacular commands 'Section', 'Module', 'End', 'Require', 'Import', 'Export', 'Variable', 'Variables', 'Parameter', 'Parameters', 'Axiom', 'Axioms', 'Hypothesis', 'Hypotheses', 'Notation', 'Local', 'Tactic', 'Reserved', 'Scope', 'Open', 'Close', 'Bind', 'Delimit', 'Definition', 'Example', 'Let', 'Ltac', 'Fixpoint', 'CoFixpoint', 'Morphism', 'Relation', 'Implicit', 'Arguments', 'Types', 'Set', 'Unset', 'Contextual', 'Strict', 'Prenex', 'Implicits', 'Inductive', 'CoInductive', 'Record', 'Structure', 'Variant', 'Canonical', 'Coercion', 'Theorem', 'Lemma', 'Fact', 'Remark', 'Corollary', 'Proposition', 'Property', 'Goal', 'Proof', 'Restart', 'Save', 'Qed', 'Defined', 'Abort', 'Admitted', 'Hint', 'Resolve', 'Rewrite', 'View', 'Search', 'Show', 'Print', 'Printing', 'All', 'Graph', 'Projections', 'inside', 'outside', 'Check', 'Global', 'Instance', 'Class', 'Existing', 'Universe', 'Polymorphic', 'Monomorphic', 'Context' ) keywords2 = ( # Gallina 'forall', 'exists', 'exists2', 'fun', 'fix', 'cofix', 'struct', 'match', 'end', 'in', 'return', 'let', 'if', 'is', 'then', 'else', 'for', 'of', 'nosimpl', 'with', 'as', ) keywords3 = ( # Sorts 'Type', 'Prop', 'SProp', ) keywords4 = ( # Tactics 'pose', 'set', 'move', 'case', 'elim', 'apply', 'clear', 'hnf', 'intro', 'intros', 'generalize', 'rename', 'pattern', 'after', 'destruct', 'induction', 'using', 'refine', 'inversion', 'injection', 'rewrite', 'congr', 'unlock', 'compute', 'ring', 'field', 'replace', 'fold', 'unfold', 'change', 'cutrewrite', 'simpl', 'have', 'suff', 'wlog', 'suffices', 'without', 'loss', 'nat_norm', 'assert', 'cut', 'trivial', 'revert', 'bool_congr', 'nat_congr', 'symmetry', 'transitivity', 'auto', 'split', 'left', 'right', 'autorewrite', 'tauto', 'setoid_rewrite', 'intuition', 'eauto', 'eapply', 'econstructor', 'etransitivity', 'constructor', 'erewrite', 'red', 'cbv', 'lazy', 'vm_compute', 'native_compute', 'subst', ) keywords5 = ( # Terminators 'by', 'now', 'done', 'exact', 'reflexivity', 'tauto', 'romega', 'omega', 'lia', 'nia', 'lra', 'nra', 'psatz', 'assumption', 'solve', 'contradiction', 'discriminate', 'congruence', ) keywords6 = ( # Control 'do', 'last', 'first', 'try', 'idtac', 'repeat', ) # 'as', 'assert', 'begin', 'class', 'constraint', 'do', 'done', # 'downto', 'else', 'end', 'exception', 'external', 'false', # 'for', 'fun', 'function', 'functor', 'if', 'in', 'include', # 'inherit', 'initializer', 'lazy', 'let', 'match', 'method', # 'module', 'mutable', 'new', 'object', 'of', 'open', 'private', # 'raise', 'rec', 'sig', 'struct', 'then', 'to', 'true', 'try', # 'type', 'val', 'virtual', 'when', 'while', 'with' keyopts = ( '!=', '#', '&', '&&', r'\(', r'\)', r'\*', r'\+', ',', '-', r'-\.', '->', r'\.', r'\.\.', ':', '::', ':=', ':>', ';', ';;', '<', '<-', '<->', '=', '>', '>]', r'>\}', r'\?', r'\?\?', r'\[', r'\[<', r'\[>', r'\[\|', ']', '_', '`', r'\{', r'\{<', r'\|', r'\|]', r'\}', '~', '=>', r'/\\', r'\\/', r'\{\|', r'\|\}', # 'Π', 'Σ', # Not defined in the standard library 'λ', '¬', '∧', '∨', '∀', '∃', '→', '↔', '≠', '≤', '≥', ) operators = r'[!$%&*+\./:<=>?@^|~-]' prefix_syms = r'[!?~]' infix_syms = r'[=<>@^|&+\*/$%-]' tokens = { 'root': [ (r'\s+', Text), (r'false|true|\(\)|\[\]', Name.Builtin.Pseudo), (r'\(\*', Comment, 'comment'), (words(keywords1, prefix=r'\b', suffix=r'\b'), Keyword.Namespace), (words(keywords2, prefix=r'\b', suffix=r'\b'), Keyword), (words(keywords3, prefix=r'\b', suffix=r'\b'), Keyword.Type), (words(keywords4, prefix=r'\b', suffix=r'\b'), Keyword), (words(keywords5, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo), (words(keywords6, prefix=r'\b', suffix=r'\b'), Keyword.Reserved), # (r'\b([A-Z][\w\']*)(\.)', Name.Namespace, 'dotted'), (r'\b([A-Z][\w\']*)', Name), (r'(%s)' % '|'.join(keyopts[::-1]), Operator), (r'(%s|%s)?%s' % (infix_syms, prefix_syms, operators), Operator), (r"[^\W\d][\w']*", Name), (r'\d[\d_]*', Number.Integer), (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'-?\d[\d_]*(.[\d_]*)?([eE][+\-]?\d[\d_]*)', Number.Float), (r"'(?:(\\[\\\"'ntbr ])|(\\[0-9]{3})|(\\x[0-9a-fA-F]{2}))'", String.Char), (r"'.'", String.Char), (r"'", Keyword), # a stray quote is another syntax element (r'"', String.Double, 'string'), (r'[~?][a-z][\w\']*:', Name), (r'\S', Name.Builtin.Pseudo), ], 'comment': [ (r'[^(*)]+', Comment), (r'\(\*', Comment, '#push'), (r'\*\)', Comment, '#pop'), (r'[(*)]', Comment), ], 'string': [ (r'[^"]+', String.Double), (r'""', String.Double), (r'"', String.Double, '#pop'), ], 'dotted': [ (r'\s+', Text), (r'\.', Punctuation), (r'[A-Z][\w\']*(?=\s*\.)', Name.Namespace), (r'[A-Z][\w\']*', Name.Class, '#pop'), (r'[a-z][a-z0-9_\']*', Name, '#pop'), default('#pop') ], } def analyse_text(text): if 'Qed' in text and 'Proof' in text: return 1 class IsabelleLexer(RegexLexer): """ For the `Isabelle <http://isabelle.in.tum.de/>`_ proof assistant. .. versionadded:: 2.0 """ name = 'Isabelle' aliases = ['isabelle'] filenames = ['*.thy'] mimetypes = ['text/x-isabelle'] 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 = ('{', '}', '.', '..') tokens = { 'root': [ (r'\s+', Text), (r'\(\*', Comment, 'comment'), (r'\{\*', Comment, 'text'), (words(operators), Operator), (words(proof_operators), Operator.Word), (words(keyword_minor, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo), (words(keyword_diag, prefix=r'\b', suffix=r'\b'), Keyword.Type), (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), (r"\?[^\W\d][.\w']*", Name), (r"'[^\W\d][.\w']*", Name.Type), (r'\d[\d_]*', Name), # display numbers as name (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'), ], 'comment': [ (r'[^(*)]+', Comment), (r'\(\*', Comment, '#push'), (r'\*\)', Comment, '#pop'), (r'[(*)]', Comment), ], 'text': [ (r'[^*}]+', Comment), (r'\*\}', Comment, '#pop'), (r'\*', Comment), (r'\}', Comment), ], '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'), ], } class LeanLexer(RegexLexer): """ For the `Lean <https://github.com/leanprover/lean>`_ theorem prover. .. versionadded:: 2.0 """ name = 'Lean' aliases = ['lean'] filenames = ['*.lean'] mimetypes = ['text/x-lean'] flags = re.MULTILINE | re.UNICODE tokens = { 'root': [ (r'\s+', Text), (r'/--', String.Doc, 'docstring'), (r'/-', Comment, 'comment'), (r'--.*?$', Comment.Single), (words(( 'import', 'renaming', 'hiding', 'namespace', 'local', 'private', 'protected', 'section', 'include', 'omit', 'section', 'protected', 'export', 'open', 'attribute', ), prefix=r'\b', suffix=r'\b'), Keyword.Namespace), (words(( 'lemma', 'theorem', 'def', 'definition', 'example', 'axiom', 'axioms', 'constant', 'constants', 'universe', 'universes', 'inductive', 'coinductive', 'structure', 'extends', 'class', 'instance', 'abbreviation', 'noncomputable theory', 'noncomputable', 'mutual', 'meta', 'attribute', 'parameter', 'parameters', 'variable', 'variables', 'reserve', 'precedence', 'postfix', 'prefix', 'notation', 'infix', 'infixl', 'infixr', 'begin', 'by', 'end', 'set_option', 'run_cmd', ), prefix=r'\b', suffix=r'\b'), Keyword.Declaration), (r'@\[[^\]]*\]', Keyword.Declaration), (words(( 'forall', 'fun', 'Pi', 'from', 'have', 'show', 'assume', 'suffices', 'let', 'if', 'else', 'then', 'in', 'with', 'calc', 'match', 'do' ), prefix=r'\b', suffix=r'\b'), Keyword), (words(('sorry', 'admit'), prefix=r'\b', suffix=r'\b'), Generic.Error), (words(('Sort', 'Prop', 'Type'), prefix=r'\b', suffix=r'\b'), Keyword.Type), (words(( '#eval', '#check', '#reduce', '#exit', '#print', '#help', ), suffix=r'\b'), Keyword), (words(( '(', ')', ':', '{', '}', '[', ']', '⟨', '⟩', '‹', '›', '⦃', '⦄', ':=', ',', )), Operator), (r'[A-Za-z_\u03b1-\u03ba\u03bc-\u03fb\u1f00-\u1ffe\u2100-\u214f]' r'[.A-Za-z_\'\u03b1-\u03ba\u03bc-\u03fb\u1f00-\u1ffe\u2070-\u2079' r'\u207f-\u2089\u2090-\u209c\u2100-\u214f0-9]*', Name), (r'0x[A-Za-z0-9]+', Number.Integer), (r'0b[01]+', Number.Integer), (r'\d+', Number.Integer), (r'"', String.Double, 'string'), (r"'(?:(\\[\\\"'nt])|(\\x[0-9a-fA-F]{2})|(\\u[0-9a-fA-F]{4})|.)'", String.Char), (r'[~?][a-z][\w\']*:', Name.Variable), (r'\S', Name.Builtin.Pseudo), ], 'comment': [ (r'[^/-]', Comment.Multiline), (r'/-', Comment.Multiline, '#push'), (r'-/', Comment.Multiline, '#pop'), (r'[/-]', Comment.Multiline) ], 'docstring': [ (r'[^/-]', String.Doc), (r'-/', String.Doc, '#pop'), (r'[/-]', String.Doc) ], 'string': [ (r'[^\\"]+', String.Double), (r"(?:(\\[\\\"'nt])|(\\x[0-9a-fA-F]{2})|(\\u[0-9a-fA-F]{4}))", String.Escape), ('"', String.Double, '#pop'), ], }
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