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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
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oleanfile 3.4.2, commit cbd2b6686ddb ��BW� init � Dexport_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 reset_instance_cache tactic unit id_rhs }unfreeze_local_instances � PInfo ~
VMR ~ VMC ~
tactic unfreeze_local_instances doc ~Reset the instance cache for the main goal. decl }interactive unfreezeI � PInfo � VMR � VMC � � doc �Unfreeze local instances, which allows us to revert
instances in the context. decl �resetI }reset_instance_cache � PInfo � VMR � VMC � ~doc �Reset the instance cache. This allows any new instances
added to the context to be used in typeclass inference. decl �introI p interactive parse option name a option has_reflect � name reflect
Quote optional lean parser lean parser alternative �types ident_ � " has_bind and_then monad to_has_bind interaction_monad monad tactic_state �intro � PInfo � VMR �VMC � s + � " tactic interactive intro ~doc �Like `intro`, but uses the introduced variable
in typeclass inference. decl �introsI p list � 6list reflect
Quote �many * �parser_state � H . �intros � PInfo �! VMR �VMC �! � + � H �intros ~doc �Like `intros`, but uses the introduced variable(s)
in typeclass inference. decl �haveI h
�
Quote �ident q₁
pexpr � Y X � Xexpr reflect bool ff
Quote X Xhas_seq_right seq_right applicative to_has_seq_right �to_applicative C X �tk
Str : �texpr q₂ X ` r s
Str := w � W � z � � - _a Woption cases_on � W � }get_unused_name coe string opt_param name mk_string
Str _x name anonymous coe_to_lift � �coe_base � �string_to_name
Str _inst option none nat val �return , h � �have � � X_x _a z � X � z . . }swap � � X � PInfo �( VMR �VMC �]( � + � � � z � W " name anonymous tchar of_nat s �n �i �_ �string empty string str � � � �name mk_string tactic get_unused_name & 'W �have 0P 2J Fswap 5: ~?
@D �I
N ~Udoc �Used to add typeclasses to the context so that they can
be used in typeclass inference. The syntax is the same as `have`,
but the proof-omitted version is not supported. For
this one must write `have : t, { <proof> }, resetI, <proof>`. decl �letI h
�
Quote Vq₁ Z � Y a
Quote X yq₂ Z � Y a
Quote X g � � � � � � � �_a � � � � � � � �h � �let � � �_x _a � � � � � � � � PInfo �5 VMR �VMC �\5 � + � � � � � � " �t �s �n �i �_ � � � � � � � � �& 'V �let /O 1I � 49 ~>
?C �H
M ~Tdoc �Used to add typeclasses to the context so that they can
be used in typeclass inference. The syntax is the same as `let`. decl �exactI q | w � � . �exact � PInfo �B VMR �VMC �B � + � � ~ �exact doc �Like `exact`, but uses all variables in the context
for typeclass inference. EndFile