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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 ��Fv init tactic core � 6export_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 clear' clear_dependent bool hyps expr_set tactic unit � id_rhs hyps_list list expr bool tt native rb_set to_list monad to_has_bind interaction_monad monad tactic_state Ftarget tgt �mmap' h Fkdepends_on Ftransparency reducible dep when coe_sort coe_sort_bool bool decidable_eq ?fail format format has_to_format has_append append >format has_append Eto_fmt string string has_to_format
Str Cannot clear hypothesis F expr has_to_format ) J
Str since the target depends on it. )_x nat Frevert_lst n ` 1 5band bnot decidable to_bool ne ` �size �decidable `a `b `nat decidable_eq ) s 8 � Aformat join list cons >coe G >coe_to_lift G >coe_base G >string_to_format
Str Some of the following hypotheses cannot be cleared because other � �
Str hypotheses depend on (some of) them:
�format intercalate �
Str , �map > Q rlist nil >_x Fmk_meta_var v Fintron d_x Fexact ) �semireducible _x
Fget_goals gs
Fset_goals � � � PInfo ~$ VMR ~_lambda_1 VMR ~_lambda_2 VMR ~_lambda_3 VMR ~VMC �$ α VMC �� 7*s � _fresh
� � tactic kdepends_on � 1achar of_nat _c_1 n �_c_2 o �_c_3 t �_c_4 � _c_5 c �
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_c_9 p �_c_10 s �_c_11 i �_c_12 d �_c_13 . � g �
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y �
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� � tactic target � � � � � list mmap' _main � �tactic revert_lst � � �r �e �h �t �o � �e �s �u �a �c �e �b � �d �e �r �a �e �l �c � �e �b � �t �o �n �n �a �c � �s �e �s �e �h �t �o �p �y �h � �g �n �i �w �o �l �l �o �f � �e �h �t � �f �o � �e �m �o �S � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �format of_string
�: �m �e �h �t � �) �f �o � �e �m �o �s �( � �n �o � �d �n �e �p �e �d � �s �e �s �e �h �t �o �p �y �h � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 3rb_set to_list � � list map _main �, � � � � � format intercalate format join � � � 9� ;� < � =� ? � R � size nat decidable_eq � E� G� L � I� K � L decidable to_bool � O� Q � R � � � � � Z� � tactic mk_meta_var � ^� �
tactic intron � b� tactic exact � g� xtactic get_goals � j� q tactic set_goals � v� }� �� �
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�doc ~ Clears all the hypotheses in `hyps`. The tactic fails if any of the `hyps`
is not a local or if the target depends on any of the `hyps`.
If there are local hypotheses or definitions, say `H`, which are not in `hyps`
but depend on one of the `hyps`, what we do depends on `clear_dependent`. If it
is true, `H` is implicitly also cleared. If it is false, `clear'` fails. decl tactic interactive clear' p interactive parse name a �list reflect � � + �name reflect
Quote � lean parser many lean parser � 0parser_state � 1alternative � � 1ident � ' � �list mmap � Fget_local hyps
tactic clear' lfalse decidable false 3rb_map set_of_list expr has_lt � � � Cdecidable_rel ) � PInfo � &C VMR � &_lambda_1 VMR � &VMC � FC � VMC � & C � � ' � tactic get_local � � F list mmap _main � E � D � Aset_of_list _main � ~doc � & Clears the given hypotheses. In contrast to `clear`, the order of hypotheses
does not matter, even if there are dependencies between them. Fails if the
target or any local hypotheses (other than the given ones) depend on the given
hypotheses. decl � %clear_dependent p � � + � �
Quote � � � O � � �hyps
� ltrue decidable true � � PInfo � NJ VMR � N_lambda_1 VMR � NVMC � TJ � VMC � N J � � O � � H � � T � K � E � D � M � ~doc � N Clears the given hypotheses and any other hypotheses that depend on them.
The hypotheses can be given in any order. Fails if the target depends on any of
the given hypotheses. EndFile