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Try doing some basic maths questions in the Lean Theorem Prover. Functions, real numbers, equivalence relations and groups. Click on README.md and then on "Open in CoCalc with one click".
Project: Xena
Views: 18536License: APACHE
oleanfile 3.4.2, commit cbd2b6686ddb ��]�� init � �export_decl option none none some some export_decl bool ff ff tt tt export_decl has_andthen andthen andthen export_decl has_pow pow pow export_decl has_append append append export_decl decidable is_true is_true is_false is_false to_bool to_bool export_decl has_pure pure pure export_decl has_bind bind bind export_decl has_monad_lift_t monad_lift !monad_lift export_decl monad_functor_t monad_map $monad_map export_decl monad_run run 'run export_decl list mmap *mmap mmap' *mmap' mfilter *mfilter mfoldl *mfoldl export_decl native nat_map 3rb_map mk export_decl name_map native rb_map mk export_decl expr_map native rb_map mk export_decl tactic interaction_monad failed fail export_decl tactic_result interaction_monad result export_decl tactic Ftransparency reducible Greducible semireducible Gsemireducible export_decl tactic mk_simp_attr Lmk_simp_attr export_decl monad_except throw Othrow catch Ocatch export_decl monad_except_adapter adapt_except Tadapt_except export_decl monad_state_adapter adapt_state Wadapt_state export_decl monad_reader read Zread export_decl monad_reader_adapter adapt_reader ]adapt_reader export_decl is_lawful_functor map_const_eq `map_const_eq id_map `id_map comp_map `comp_map export_decl is_lawful_applicative seq_left_eq gseq_left_eq seq_right_eq gseq_right_eq pure_seq_eq_map gpure_seq_eq_map map_pure gmap_pure seq_pure gseq_pure seq_assoc gseq_assoc export_decl is_lawful_monad bind_pure_comp_eq_map tbind_pure_comp_eq_map bind_map_eq_seq tbind_map_eq_seq pure_bind tpure_bind bind_assoc tbind_assoc decl string hash s string nat �fold has_one one nat has_one h c char has_mod mod nat has_mod has_add add nat has_add has_mul mul nat has_mul bit1 bit0 �val unsigned_sz ( � PInfo ~)VMR ~_lambda_1 VMR ~VMC �* � � unsigned_sz !nat mul nat add nat mod VMC ~) � string fold doc ~A rudimentary hash function on strings. decl ~equations _eqn_1 eq ~ ( 1 eq refl 6� PInfo �)ATTR _refl_lemma � � � EqnL �SEqnL ~decl library_note_attr user_attribute unit ?id_rhs Auser_attribute mk ? ?name mk_string Str library_note name anonymous Str Notes about library features to be included in documentation option none decl name prio persistent bool tactic ? Odecl P Tuser_attribute_cache_cfg mk ?_x list Phas_pure pure Rapplicative to_has_pure Ralternative to_applicative Rtactic alternative ?unit star list nil Pa ?punit reflect ( `lean parser b w d wlean parser alternative ? k � PInfo �-VMR �_lambda_1 VMR �_lambda_2 VMR � VMC �-s tactic_state � _ VMC �- �lean parser_state VMC � � u- name anonymous echar of_nat t �o �n �_ �y �r �a �r �b �i �l �string empty string str � � � � � � � � � � �name mk_string n �o �i �t �a �t �n �e �m �u �c �o �d � �n �i � �d �e �d �u �l �c �n �i � �e �b � �o �t � �s �e �r �u �t �a �e �f � �y �r �a �r �b �i �l � �t �u �o �b �a � �s �e �t �o �N � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � doc �A user attribute `library_note` for tagging decls of type `string × string` for use in note output. ATTR user_attribute � � � USR_ATTR �prv get_name_for _private �T|6%get_name_for decl � note_id P � B Pmk_str_name Khas_append append string has_append Str _ to_string nat has_to_string 6 � PInfo �4VMR �VMC �N4 � _ �_c_1 r �_c_2 �e �t �o �n � y � a �b �i �l � � � � � � � � � � � � � � � ~nat repr � �string append �doc �Creates a name to store `note_id`. decl tactic add_library_note note_name pexpr note � S � � � � B S Rmonad to_has_bind Rinteraction_monad monad �expr bool tt ? Fto_expr $ � �note_name � �note � decl_name P � � �expr has_to_string � $ � �expr subst bool ff � Quote _x_1 _ � _x_2 � � prod Annot frozen_name prod mk $ (TyE to_pexpr �expr has_to_pexpr � $ � �body � � ? ? Fadd_decl mk_definition $ pcoe reflected � �coe_to_lift � �coe_base � �expr has_coe � � Quote � (_x ? �set ? ? Quote ?library_note_attr � k � O � PInfo �: VMR �_lambda_1 VMR �VMC � (4: s � _fresh � U P � *_fresh � S � � *_fresh � Q � � to_pexpr � � 4 � expr subst � 6tactic to_expr . � mk_definition tactic add_decl ' � ? user_attribute set ,VMC �': � ) � � � � � � 8 ! � 8 expr to_string � � P � ( doc � If `note_name` and `note` are `pexpr`s representing strings, `add_library_note note_name note` adds a declaration of type `string × string` and tags it with the `library_note` attribute. decl library_note _x interactive parse ? u �parser tk H w ? � A � B � � w � w � � � ? � Dpexpr std prec max name � � !note � � Dof_tactic ?tactic add_library_note $ ( � PInfo � @GVMR � @VMC � @ G � ) � � A � std prec max lean parser pexpr � Q � T � lean parser of_tactic doc � @ A command to add library notes. Syntax: ```lean library_note "note id" "note content" ``` ATTR user_command � � � @ USR_CMD � @decl tactic get_library_notes R ^ � B � / � _ � .attribute get_instances Klist mmap R � P �dcl P � � Fmk_const ( Feval_expr � Quote � � PInfo � ZM VMR � Z_lambda_1 VMR � Z_lambda_2 VMR � ZVMC � bM α VMC � cN5 � ) � � _ P � ` � tactic eval_expr VMC � ZTM � ) � �e �t �o �n �_ �y �r �a �r �b �i �l � � � � � � � � � � � � � � �attribute get_instances BN � c � � b list mmap _main doc � ZCollects all notes in the current environment. Returns a list of pairs `(note_id, note_content)` EndFile