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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 tactic core � =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 tactic ancestor_attr user_attribute unit list name id_rhs user_attribute mk name mk_string
Str ancestor name anonymous
Str ancestor of old structures option none decl prio nat persistent bool tactic decl user_attribute_cache_cfg mk _x has_pure pure applicative to_has_pure alternative to_applicative tactic alternative unit star list nil a list reflect � name reflect
Quote 9lean parser many lean parser interaction_monad monad �parser_state �alternative �ident � PInfo ~ VMR ~_lambda_1 VMR ~_lambda_2 VMR ~ VMC � s tactic_state � VMC � α VMC ~ � name anonymous rchar of_nat o �t �s �e �c �n �a �string empty string str � � � � � � �name mk_string s �e �r �u �t �c �u �r �t �s � �d �l �o � �f �o � �r �o �t �s �e �c �n �a � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �_main �_main lean parser ident � � � �many _main ATTR user_attribute � � ~ USR_ATTR ~decl }get_ancestors cl � Qhas_seq seq applicative to_has_seq monad to_applicative E P functor map �to_functor [ a has_append append list has_append has_orelse orelse alternative to_has_orelse ) eprod prod fst }subobject_names 9 $ & [ 3 uuser_attribute get_param
Quote }ancestor_attr 9 � � PInfo � VMR �_lambda_1 VMR �_lambda_2 VMR �VMC � s P _fresh
� {� tactic subobject_names
VMC � � P VMC �5 s P � � � interaction_monad_orelse �append _main / � ~ user_attribute get_param � !( -decl }find_ancestors _main a � expr bool tt � � � � � �to_has_bind Z � }get_ancestors cs � � �list mmap Z �c t � e � �list ret � � � � }mk_app 9list cons � 2 � Ftransparency semireducible }mk_instance
�RecFn � 9 � 9r �return Z �list join � 9 � PInfo � VMR �_lambda_1 VMR �_lambda_2 VMR �_lambda_3 VMR �VMC �
α VMC � � P �_fresh
� �� �_fresh
� �� � tactic mk_app
tactic mk_instance VMC �
� � � � � �VMC �$ � P � � � � � � �
list mmap _main �join _main decl }find_ancestors � � � PInfo � VMR � VMC � � ATTR ancestor � �semigroup �
Str has_mul 3ATTR � � �comm_semigroup �
Str semigroup 3ATTR � � �monoid � �
Str has_one 3ATTR � � �comm_monoid �
Str monoid �
Str comm_semigroup 3ATTR � � �group � �
Str has_inv 3ATTR � � �comm_group �
Str group �
Str comm_monoid 3ATTR � � �add_semigroup �
Str has_add 3ATTR � � �add_comm_semigroup �
Str add_semigroup 3ATTR � � �add_monoid � �
Str has_zero 3ATTR � � �add_comm_monoid �
Str add_monoid �
Str add_comm_semigroup 3ATTR � � �add_group � ! �
Str has_neg 3ATTR � � �add_comm_group �
Str add_group �
Str add_comm_monoid 3ATTR � � �left_cancel_semigroup �ATTR � � �right_cancel_semigroup �ATTR � � �add_left_cancel_semigroup � ATTR � � �add_right_cancel_semigroup � ATTR � � �division_ring �
Str ring � �
Str zero_ne_one_class 3ATTR � � �field �
Str division_ring �
Str comm_ring 3ATTR � � �discrete_field �
Str field 3ATTR � � �distrib � � ATTR � � �mul_zero_class � � ATTR � � �zero_ne_one_class � �ATTR � � �semiring � 5 � �
Str distrib �
Str mul_zero_class 3ATTR � � �comm_semiring �
Str semiring � ATTR � � �ring �
Str add_comm_group � � X 3ATTR � � �comm_ring � ; �ATTR � � �no_zero_divisors � SATTR � � �integral_domain � J �
Str no_zero_divisors � @EndFile