import .all run_cmd tactic.skip apply_nolint AddCommGroup AddCommGroup.of AddCommMon AddCommMon.of AddGroup AddGroup.of AddMon AddMon.of Cauchy.extend Cauchy.gen Class CommRing.colimits.cocone_fun CommRing.colimits.cocone_morphism CommRing.colimits.colimit CommRing.colimits.colimit_cocone CommRing.colimits.colimit_is_colimit CommRing.colimits.colimit_type CommRing.colimits.desc_fun CommRing.colimits.desc_fun_lift CommRing.colimits.desc_morphism CommRing.colimits.prequotient CommRing.colimits.relation CpltSepUniformSpace.to_UniformSpace Gromov_Hausdorff.candidates_b_dist Meas Module.of Mon.colimits.cocone_fun Mon.colimits.cocone_morphism Mon.colimits.colimit Mon.colimits.colimit_cocone Mon.colimits.colimit_is_colimit Mon.colimits.colimit_type Mon.colimits.desc_fun Mon.colimits.desc_fun_lift Mon.colimits.desc_morphism Mon.colimits.prequotient Mon.colimits.relation Set.map_definable_aux Set.mem Set.mk Set.subset Top.colimit Top.colimit_is_colimit Top.limit Top.limit_is_limit Top.presheaf Top.presheaf.pushforward Top.presheaf.pushforward.comp Top.presheaf.pushforward.id Top.presheaf.pushforward_eq Top.presheaf.stalk_pushforward Well_order abelianization abelianization.lift abelianization.lift.unique abelianization.of abv_sum_le_sum_abv add_comm_group.is_Z_bilin add_con.to_setoid add_equiv.mk' add_equiv.refl add_equiv.symm add_equiv.to_add_monoid_hom add_equiv.to_equiv add_equiv.trans add_group.closure add_group.in_closure add_monoid.smul add_monoid_hom.add add_monoid_hom.comp add_monoid_hom.id add_monoid_hom.mk' add_monoid_hom.neg add_monoid_hom.zero additive adjoin_root adjoin_root.lift adjoin_root.mk adjoin_root.of adjoin_root.root alg_hom.comp alg_hom.id alg_hom.range alg_hom.to_ring_hom algebra.adjoin algebra.adjoin_eq_range algebra.adjoin_singleton_eq_range algebra.comap.comm_ring algebra.comap.has_scalar algebra.comap.of_comap algebra.comap.ring algebra.comap.to_comap algebra.gi algebra.lmul_left algebra.lmul_right algebra.of_id algebra.to_comap algebra.to_top algebra_map algebraic_geometry.PresheafedSpace.comp algebraic_geometry.PresheafedSpace.id algebraic_geometry.PresheafedSpace.stalk algebraic_geometry.PresheafedSpace.stalk_map alist.disjoint alist.foldl applicative_transformation apply_fun_name archimedean archimedean.floor_ring associated associated.setoid associates associates.factor_set associates.factor_set.coe_add associates.factor_set.prod associates.factors associates.factors' associates.mk associates.out associates.prime associates.unique' associates_int_equiv_nat auto.add_conjuncts auto.add_simps auto.auto_config auto.case_hyp auto.case_option auto.case_some_hyp auto.case_some_hyp_aux auto.classical_normalize_lemma_names auto.common_normalize_lemma_names auto.do_subst auto.do_substs auto.eelim auto.eelims auto.mk_hinst_lemmas auto.normalize_hyp auto.normalize_hyps auto.normalize_negations auto.preprocess_goal auto.preprocess_hyps auto.split_hyp auto.split_hyps auto.split_hyps_aux auto.whnf_reducible auto_cases_at bicompl.bitraverse bicompr.bitraverse bifunctor bifunctor.fst bifunctor.snd bilin_form.bilin_linear_map_equiv bilin_form.to_linear_map binder_eq_elim binder_eq_elim.check binder_eq_elim.check_eq binder_eq_elim.old_conv binder_eq_elim.pull binder_eq_elim.push bisequence bitraversable bounded_continuous_function.arzela_ascoli bounded_continuous_function.arzela_ascoli₁ bounded_continuous_function.arzela_ascoli₂ bounded_continuous_function.const bounded_continuous_function.dist_eq bounded_continuous_function.dist_set_exists bounded_continuous_function.equicontinuous_of_continuity_modulus buffer.list_equiv_buffer can_lift_attr canonically_ordered_comm_semiring card_subgroup_dvd_card card_trivial cardinal.aleph'.order_iso cardinal.aleph_idx.initial_seg cardinal.aleph_idx.order_iso cardinal.cantor_function cardinal.cantor_function_aux cardinal.ord.order_embedding cast_num cast_pos_num cast_znum category_theory.Aut category_theory.Kleisli category_theory.Kleisli.comp_def category_theory.Kleisli.id_def category_theory.Kleisli.mk category_theory.adjunction.adjunction_of_equiv_left category_theory.adjunction.adjunction_of_equiv_right category_theory.adjunction.cocones_iso category_theory.adjunction.comp category_theory.adjunction.cones_iso category_theory.adjunction.core_hom_equiv category_theory.adjunction.core_unit_counit category_theory.adjunction.functoriality_counit category_theory.adjunction.functoriality_counit' category_theory.adjunction.functoriality_is_left_adjoint category_theory.adjunction.functoriality_is_right_adjoint category_theory.adjunction.functoriality_left_adjoint category_theory.adjunction.functoriality_right_adjoint category_theory.adjunction.functoriality_unit category_theory.adjunction.functoriality_unit' category_theory.adjunction.has_colimit_of_comp_equivalence category_theory.adjunction.has_limit_of_comp_equivalence category_theory.adjunction.id category_theory.adjunction.left_adjoint_of_equiv category_theory.adjunction.mk_of_hom_equiv category_theory.adjunction.mk_of_unit_counit category_theory.adjunction.right_adjoint_of_equiv category_theory.as_iso category_theory.category_struct category_theory.comma category_theory.comma.fst category_theory.comma.map_left category_theory.comma.map_left_comp category_theory.comma.map_left_id category_theory.comma.map_right category_theory.comma.map_right_comp category_theory.comma.map_right_id category_theory.comma.nat_trans category_theory.comma.snd category_theory.comma_morphism category_theory.core category_theory.core.forget_functor_to_core category_theory.core.inclusion category_theory.coyoneda category_theory.coyoneda.is_iso category_theory.curry category_theory.curry_obj category_theory.currying category_theory.discrete category_theory.discrete.lift category_theory.discrete.opposite category_theory.epi category_theory.eq_to_hom category_theory.eq_to_iso category_theory.equivalence.adjointify_η category_theory.equivalence.counit category_theory.equivalence.counit_inv category_theory.equivalence.equivalence_of_fully_faithfully_ess_surj category_theory.equivalence.ess_surj_of_equivalence category_theory.equivalence.fun_inv_id_assoc category_theory.equivalence.inv_fun_id_assoc category_theory.equivalence.mk category_theory.equivalence.refl category_theory.equivalence.symm category_theory.equivalence.to_adjunction category_theory.equivalence.trans category_theory.equivalence.unit category_theory.equivalence.unit_inv category_theory.ess_surj category_theory.ess_surj.iso category_theory.evaluation category_theory.evaluation_uncurried category_theory.full_subcategory_inclusion category_theory.functor.adjunction category_theory.functor.as_equivalence category_theory.functor.associator category_theory.functor.const category_theory.functor.const.op_obj_op category_theory.functor.const.op_obj_unop category_theory.functor.flip category_theory.functor.fun_inv_id category_theory.functor.fun_obj_preimage_iso category_theory.functor.inv category_theory.functor.inv_fun_id category_theory.functor.left_op category_theory.functor.left_unitor category_theory.functor.map_cocone_morphism category_theory.functor.map_cone_inv category_theory.functor.map_cone_morphism category_theory.functor.map_iso category_theory.functor.obj_preimage category_theory.functor.of_function category_theory.functor.op category_theory.functor.op_hom category_theory.functor.op_inv category_theory.functor.right_op category_theory.functor.right_unitor category_theory.functor.sections category_theory.functor.star category_theory.functor.to_cocone category_theory.functor.to_cone category_theory.functor.ulift_down category_theory.functor.ulift_down_up category_theory.functor.ulift_up category_theory.functor.ulift_up_down category_theory.functor.unop category_theory.has_hom category_theory.has_hom.hom.op category_theory.has_hom.hom.unop category_theory.has_limits_of_reflective category_theory.hom_of_element category_theory.induced_category category_theory.induced_functor category_theory.is_equivalence.mk category_theory.is_iso_of_fully_faithful category_theory.is_iso_of_op category_theory.is_left_adjoint category_theory.is_right_adjoint category_theory.iso category_theory.iso.hom_congr category_theory.iso.op category_theory.iso.refl category_theory.iso.symm category_theory.iso.to_equiv category_theory.iso.trans category_theory.iso_whisker_left category_theory.iso_whisker_right category_theory.large_groupoid category_theory.left_adjoint category_theory.limits.binary_cofan category_theory.limits.binary_cofan.mk category_theory.limits.binary_fan category_theory.limits.binary_fan.mk category_theory.limits.cocone.equiv category_theory.limits.cocone.extensions category_theory.limits.cocone.of_cofork category_theory.limits.cocone.of_pushout_cocone category_theory.limits.cocone.whisker category_theory.limits.cocone_left_op_of_cone category_theory.limits.cocone_morphism category_theory.limits.cocone_of_cone_left_op category_theory.limits.cocones.forget category_theory.limits.cocones.functoriality category_theory.limits.cocones.precompose category_theory.limits.cocones.precompose_comp category_theory.limits.cocones.precompose_equivalence category_theory.limits.cocones.precompose_id category_theory.limits.coequalizer category_theory.limits.coequalizer.desc category_theory.limits.coequalizer.π category_theory.limits.cofan category_theory.limits.cofan.mk category_theory.limits.cofork category_theory.limits.cofork.of_cocone category_theory.limits.cofork.of_π category_theory.limits.cofork.π category_theory.limits.colim_coyoneda category_theory.limits.colimit category_theory.limits.colimit.cocone category_theory.limits.colimit.cocone_morphism category_theory.limits.colimit.desc category_theory.limits.colimit.hom_iso category_theory.limits.colimit.hom_iso' category_theory.limits.colimit.is_colimit category_theory.limits.colimit.post category_theory.limits.colimit.pre category_theory.limits.colimit.ι category_theory.limits.cone.equiv category_theory.limits.cone.extensions category_theory.limits.cone.of_fork category_theory.limits.cone.of_pullback_cone category_theory.limits.cone.whisker category_theory.limits.cone_left_op_of_cocone category_theory.limits.cone_morphism category_theory.limits.cone_of_cocone_left_op category_theory.limits.cones.forget category_theory.limits.cones.functoriality category_theory.limits.cones.postcompose category_theory.limits.cones.postcompose_comp category_theory.limits.cones.postcompose_equivalence category_theory.limits.cones.postcompose_id category_theory.limits.coprod category_theory.limits.coprod.desc category_theory.limits.coprod.inl category_theory.limits.coprod.inr category_theory.limits.coprod.map category_theory.limits.equalizer category_theory.limits.equalizer.lift category_theory.limits.equalizer.ι category_theory.limits.evaluate_functor_category_colimit_cocone category_theory.limits.evaluate_functor_category_limit_cone category_theory.limits.fan category_theory.limits.fan.mk category_theory.limits.fork category_theory.limits.fork.of_cone category_theory.limits.fork.of_ι category_theory.limits.fork.ι category_theory.limits.functor_category_colimit_cocone category_theory.limits.functor_category_is_colimit_cocone category_theory.limits.functor_category_is_limit_cone category_theory.limits.functor_category_limit_cone category_theory.limits.has_binary_coproducts category_theory.limits.has_binary_products category_theory.limits.has_coequalizers category_theory.limits.has_colimit_of_equivalence_comp category_theory.limits.has_colimit_of_iso category_theory.limits.has_colimits_of_shape_of_equivalence category_theory.limits.has_coproducts category_theory.limits.has_equalizers category_theory.limits.has_finite_colimits category_theory.limits.has_finite_coproducts category_theory.limits.has_finite_limits category_theory.limits.has_finite_products category_theory.limits.has_initial category_theory.limits.has_limit_of_equivalence_comp category_theory.limits.has_limit_of_iso category_theory.limits.has_limits_of_shape_of_equivalence category_theory.limits.has_products category_theory.limits.has_pullbacks category_theory.limits.has_pushouts category_theory.limits.has_terminal category_theory.limits.initial category_theory.limits.initial.to category_theory.limits.is_colimit.desc_cocone_morphism category_theory.limits.is_colimit.hom_iso' category_theory.limits.is_colimit.iso_unique_cocone_morphism category_theory.limits.is_colimit.mk_cocone_morphism category_theory.limits.is_colimit.of_iso_colimit category_theory.limits.is_limit.hom_iso' category_theory.limits.is_limit.iso_unique_cone_morphism category_theory.limits.is_limit.lift_cone_morphism category_theory.limits.is_limit.mk_cone_morphism category_theory.limits.is_limit.of_iso_limit category_theory.limits.lim_yoneda category_theory.limits.limit category_theory.limits.limit.cone category_theory.limits.limit.cone_morphism category_theory.limits.limit.hom_iso category_theory.limits.limit.hom_iso' category_theory.limits.limit.is_limit category_theory.limits.limit.lift category_theory.limits.limit.post category_theory.limits.limit.pre category_theory.limits.limit.π category_theory.limits.map_pair category_theory.limits.pair category_theory.limits.pair_function category_theory.limits.parallel_pair category_theory.limits.pi.lift category_theory.limits.pi.map category_theory.limits.pi.π category_theory.limits.preserves_colimit category_theory.limits.preserves_colimits category_theory.limits.preserves_colimits_of_shape category_theory.limits.preserves_limit category_theory.limits.preserves_limits category_theory.limits.preserves_limits_of_shape category_theory.limits.prod category_theory.limits.prod.fst category_theory.limits.prod.lift category_theory.limits.prod.map category_theory.limits.prod.snd category_theory.limits.pullback.fst category_theory.limits.pullback.lift category_theory.limits.pullback.snd category_theory.limits.pullback_cone category_theory.limits.pullback_cone.fst category_theory.limits.pullback_cone.mk category_theory.limits.pullback_cone.of_cone category_theory.limits.pullback_cone.snd category_theory.limits.pushout.desc category_theory.limits.pushout.inl category_theory.limits.pushout.inr category_theory.limits.pushout_cocone category_theory.limits.pushout_cocone.inl category_theory.limits.pushout_cocone.inr category_theory.limits.pushout_cocone.mk category_theory.limits.pushout_cocone.of_cocone category_theory.limits.reflects_colimit category_theory.limits.reflects_colimits category_theory.limits.reflects_colimits_of_shape category_theory.limits.reflects_limit category_theory.limits.reflects_limits category_theory.limits.reflects_limits_of_shape category_theory.limits.sigma.desc category_theory.limits.sigma.map category_theory.limits.sigma.ι category_theory.limits.terminal category_theory.limits.terminal.from category_theory.limits.types.colimit category_theory.limits.types.colimit_is_colimit category_theory.limits.types.limit category_theory.limits.types.limit_is_limit category_theory.limits.types.types_colimit_pre category_theory.limits.walking_cospan.hom.comp category_theory.limits.walking_parallel_pair_hom.comp category_theory.limits.walking_span.hom.comp category_theory.monad category_theory.monad.algebra.hom category_theory.monad.algebra.hom.comp category_theory.monad.algebra.hom.id category_theory.monad.comparison category_theory.monad.comparison_forget category_theory.monad.forget category_theory.monad.forget_creates_limits category_theory.monad.forget_creates_limits.c category_theory.monad.forget_creates_limits.cone_point category_theory.monad.forget_creates_limits.γ category_theory.monad.free category_theory.monadic_creates_limits category_theory.mono category_theory.monoidal_functor.ε_iso category_theory.monoidal_functor.μ_iso category_theory.nat_iso.hcomp category_theory.nat_iso.is_iso_app_of_is_iso category_theory.nat_iso.is_iso_of_is_iso_app category_theory.nat_iso.of_components category_theory.nat_iso.of_isos category_theory.nat_iso.op category_theory.nat_trans.left_op category_theory.nat_trans.of_function category_theory.nat_trans.of_homs category_theory.nat_trans.on_presheaf category_theory.nat_trans.op category_theory.nat_trans.right_op category_theory.nat_trans.unop category_theory.obviously' category_theory.op_op category_theory.over category_theory.over.colimit category_theory.over.forget category_theory.over.forget_colimit_is_colimit category_theory.over.hom_mk category_theory.over.map category_theory.over.mk category_theory.over.post category_theory.prod.associativity category_theory.prod.associator category_theory.prod.braiding category_theory.prod.inverse_associator category_theory.prod.swap category_theory.prod.symmetry category_theory.representable category_theory.right_adjoint category_theory.single_obj category_theory.single_obj.star category_theory.small_groupoid category_theory.sum.associativity category_theory.sum.associator category_theory.sum.inverse_associator category_theory.ulift_functor category_theory.ulift_trivial category_theory.uncurry category_theory.under category_theory.under.forget category_theory.under.forget_limit_is_limit category_theory.under.hom_mk category_theory.under.limit category_theory.under.map category_theory.under.mk category_theory.under.post category_theory.whisker_left category_theory.whisker_right category_theory.whiskering_left category_theory.whiskering_right category_theory.yoneda category_theory.yoneda.is_iso category_theory.yoneda_evaluation category_theory.yoneda_lemma category_theory.yoneda_pairing category_theory.yoneda_sections category_theory.yoneda_sections_small cau_seq cau_seq.abv_pos_of_not_lim_zero cau_seq.bounded' cau_seq.cauchy cau_seq.cauchy₂ cau_seq.cauchy₃ cau_seq.completion.Cauchy cau_seq.completion.discrete_field cau_seq.completion.mk cau_seq.completion.of_rat cau_seq.equiv_def₃ cau_seq.inv cau_seq.inv_aux cau_seq.is_complete cau_seq.le_of_exists cau_seq.lim cau_seq.lim_zero cau_seq.of_eq cau_seq.of_near cauchy_product cauchy_seq_bdd centralizer.add_submonoid cfilter.to_realizer char_p.char_is_prime_of_ge_two classical.DLO classical.all_definable classical.exists_cases classical.inhabited_of_nonempty' comm_ring.anti_equiv_to_equiv comm_ring.equiv_to_anti_equiv commutator comp.seq compact.realizer completion complex complex.I complex.abs complex.cau_seq_abs complex.cau_seq_conj complex.cau_seq_im complex.cau_seq_re complex.conj complex.cos complex.cosh complex.exp complex.exp' complex.lim_aux complex.norm_sq complex.of_real complex.real_prod_equiv complex.sin complex.sinh complex.tan complex.tanh computable computable_pred computable₂ computation.bind.F computation.bind.G computation.bisim_o computation.cases_on computation.corec.F computation.is_bisimulation computation.lift_rel_aux computation.map_congr computation.mem computation.mem_rec_on computation.parallel.aux1 computation.parallel.aux2 computation.parallel_rec computation.terminates_rec_on con.to_setoid const.bitraverse constr_smul cont cont_t cont_t.map cont_t.monad_lift cont_t.run cont_t.with_cont_t continuous.comap continuous_map continuous_map.coev continuous_map.compact_open.gen continuous_map.ev continuous_map.induced continuous_of_locally_uniform_limit_of_continuous continuous_of_uniform_limit_of_continuous conv.discharge_eq_lhs conv.interactive.erw conv.interactive.norm_cast conv.interactive.norm_num conv.interactive.norm_num1 conv.interactive.ring conv.interactive.ring2 conv.repeat_count conv.repeat_with_results conv.replace_lhs conv.slice conv.slice_lhs conv.slice_rhs ctop.realizer.id ctop.realizer.nhds ctop.realizer.nhds_F ctop.realizer.nhds_σ ctop.realizer.of_equiv ctop.to_realizer decidable.lt_by_cases decidable_linear_order.lift decidable_linear_order_of_is_well_order decidable_of_bool decidable_of_iff decidable_of_iff' decidable_zero_symm declaration.update_with_fun dense_or_discrete denumerable.equiv₂ denumerable.eqv denumerable.lower denumerable.lower' denumerable.mk' denumerable.of_encodable_of_infinite denumerable.of_equiv denumerable.of_nat denumerable.pair denumerable.raise denumerable.raise' denumerable.raise'_finset dfinsupp dfinsupp.decidable_eq dfinsupp.erase dfinsupp.lmk dfinsupp.lsingle dfinsupp.map_range_def dfinsupp.map_range_single dfinsupp.mk dfinsupp.pre dfinsupp.single dfinsupp.subtype_domain_sum dfinsupp.sum_apply dfinsupp.support dfinsupp.to_has_scalar dfinsupp.to_module dfinsupp.zip_with dfinsupp.zip_with_def dioph.pell_dioph dioph.xn_dioph direct_sum direct_sum.component direct_sum.id direct_sum.lid direct_sum.lmk direct_sum.lof direct_sum.lset_to_set direct_sum.mk direct_sum.of direct_sum.set_to_set direct_sum.to_group direct_sum.to_module directed_order dlist.join dlist.list_equiv_dlist eckmann_hilton.comm_group eckmann_hilton.comm_monoid eckmann_hilton.is_unital emetric.cauchy_iff emetric.cauchy_seq_iff emetric.cauchy_seq_iff' emetric.exists_ball_subset_ball emetric.is_open_iff emetric.mem_closure_iff' emetric.mem_nhds_iff emetric.nhds_eq emetric.tendsto_at_top emetric.tendsto_nhds emetric.totally_bounded_iff emetric.totally_bounded_iff' emetric.uniform_continuous_iff emetric.uniform_embedding_iff emetric.uniform_embedding_iff' empty.elim enat encodable.choose encodable.choose_x encodable.decidable_eq_of_encodable encodable.decidable_range_encode encodable.decode2 encodable.decode_list encodable.decode_multiset encodable.decode_sigma encodable.decode_subtype encodable.decode_sum encodable.encodable_of_list encodable.encode_list encodable.encode_multiset encodable.encode_sigma encodable.encode_subtype encodable.encode_sum encodable.equiv_range_encode encodable.fintype_arrow encodable.fintype_pi encodable.of_inj encodable.of_left_injection encodable.of_left_inverse encodable.trunc_encodable_of_fintype ennreal.Icc_mem_nhds ennreal.ennreal_equiv_nnreal ennreal.ennreal_equiv_sum ennreal.nhds_of_ne_top ennreal.tendsto_at_top ennreal.tendsto_nhds eq_of_forall_dist_le eq_of_forall_edist_le eq_of_le_of_forall_ge_of_dense eq_of_le_of_forall_le_of_dense equiv.Pi_congr_right equiv.Pi_curry equiv.Prop_equiv_bool equiv.add_comm_group equiv.add_comm_monoid equiv.add_comm_semigroup equiv.add_group equiv.add_left equiv.add_monoid equiv.add_right equiv.add_semigroup equiv.array_equiv_fin equiv.arrow_arrow_equiv_prod_arrow equiv.arrow_congr equiv.arrow_prod_equiv_prod_arrow equiv.arrow_punit_equiv_punit equiv.bool_equiv_punit_sum_punit equiv.bool_prod_equiv_sum equiv.bool_prod_nat_equiv_nat equiv.cast equiv.comm_group equiv.comm_monoid equiv.comm_ring equiv.comm_semigroup equiv.comm_semiring equiv.conj equiv.d_array_equiv_fin equiv.decidable_eq equiv.decidable_eq_of_equiv equiv.discrete_field equiv.division_ring equiv.domain equiv.empty_arrow_equiv_punit equiv.empty_equiv_pempty equiv.empty_of_not_nonempty equiv.empty_prod equiv.empty_sum equiv.equiv_congr equiv.equiv_empty equiv.equiv_pempty equiv.false_arrow_equiv_punit equiv.false_equiv_empty equiv.false_equiv_pempty equiv.field equiv.fin_equiv_subtype equiv.functor equiv.group equiv.has_add equiv.has_inv equiv.has_mul equiv.has_neg equiv.has_one equiv.has_zero equiv.inhabited_of_equiv equiv.int_equiv_nat equiv.int_equiv_nat_sum_nat equiv.integral_domain equiv.inv equiv.is_lawful_traversable equiv.is_lawful_traversable' equiv.list_equiv_of_equiv equiv.list_equiv_self_of_equiv_nat equiv.list_nat_equiv_nat equiv.map equiv.monoid equiv.mul_left equiv.mul_right equiv.nat_equiv_nat_sum_punit equiv.nat_prod_nat_equiv_nat equiv.nat_sum_nat_equiv_nat equiv.nat_sum_punit_equiv_nat equiv.neg equiv.nonzero_comm_ring equiv.of_bijective equiv.option_equiv_sum_punit equiv.pempty_arrow_equiv_punit equiv.pempty_equiv_pempty equiv.pempty_of_not_nonempty equiv.pempty_prod equiv.pempty_sum equiv.perm.card_support_swap equiv.perm.cycle_factors equiv.perm.cycle_factors_aux equiv.perm.cycle_of equiv.perm.disjoint equiv.perm.eq_swap_of_is_cycle_of_apply_apply_eq_self equiv.perm.is_cycle equiv.perm.is_cycle_swap equiv.perm.is_cycle_swap_mul_aux₁ equiv.perm.is_swap equiv.perm.of_subtype equiv.perm.same_cycle equiv.perm.sign_aux equiv.perm.sign_aux2 equiv.perm.sign_aux3 equiv.perm.sign_bij_aux equiv.perm.sign_cycle equiv.perm.subtype_perm equiv.perm.support equiv.perm.support_swap equiv.perm.swap_factors_aux equiv.perm.trunc_swap_factors equiv.perm_congr equiv.pi_equiv_subtype_sigma equiv.plift equiv.pnat_equiv_nat equiv.prod_assoc equiv.prod_comm equiv.prod_congr equiv.prod_empty equiv.prod_equiv_of_equiv_nat equiv.prod_pempty equiv.prod_punit equiv.prod_sum_distrib equiv.prop_equiv_punit equiv.psigma_equiv_sigma equiv.psum_equiv_sum equiv.punit_arrow_equiv equiv.punit_equiv_punit equiv.punit_prod equiv.refl equiv.ring equiv.semigroup equiv.semiring equiv.set.congr equiv.set.empty equiv.set.image equiv.set.image_of_inj_on equiv.set.insert equiv.set.of_eq equiv.set.pempty equiv.set.prod equiv.set.range equiv.set.sep equiv.set.singleton equiv.set.sum_compl equiv.set.union equiv.set.union' equiv.set.union_sum_inter equiv.set.univ equiv.set_congr equiv.sigma_congr_left equiv.sigma_congr_right equiv.sigma_equiv_prod equiv.sigma_equiv_prod_of_equiv equiv.sigma_preimage_equiv equiv.sigma_prod_distrib equiv.sigma_subtype_preimage_equiv equiv.sigma_subtype_preimage_equiv_subtype equiv.subtype_congr equiv.subtype_congr_prop equiv.subtype_congr_right equiv.subtype_equiv_of_subtype' equiv.subtype_pi_equiv_pi equiv.subtype_quotient_equiv_quotient_subtype equiv.subtype_subtype_equiv_subtype_exists equiv.subtype_subtype_equiv_subtype_inter equiv.sum_arrow_equiv_prod_arrow equiv.sum_assoc equiv.sum_comm equiv.sum_congr equiv.sum_empty equiv.sum_equiv_sigma_bool equiv.sum_pempty equiv.sum_prod_distrib equiv.swap_core equiv.symm equiv.to_embedding equiv.to_iso equiv.to_pequiv equiv.trans equiv.traversable equiv.traverse equiv.true_equiv_punit equiv.ulift equiv.unique_congr equiv.unique_of_equiv equiv.units_equiv_ne_zero equiv.vector_equiv_array equiv.vector_equiv_fin equiv.zero_ne_one_class equiv_of_dim_eq_dim equiv_of_unique_of_unique equiv_punit_of_unique equiv_type_constr erased.bind erased.choice erased.equiv erased.join erased.mk erased.out erased.out_type euclidean_domain euclidean_domain.gcd euclidean_domain.lcm euclidean_domain.xgcd_aux except_t.call_cc except_t.mk_label except_t.pass_aux exists.classical_rec_on exists_eq_elim exists_forall_ge_and exists_gpow_eq_one exists_mem_ne_zero_of_dim_pos exists_pow_eq_one expr.flip_eq expr.flip_iff expr.get_pis ext_param ext_param_type field.closure field.direct_limit.discrete_field field.direct_limit.field field.direct_limit.inv filter filter.Liminf filter.Liminf_le_Liminf filter.Liminf_le_Liminf_of_le filter.Liminf_le_Limsup filter.Liminf_le_of_le filter.Limsup filter.filter_product.abs_def filter.filter_product.of_seq filter.filter_product.of_seq_one filter.filter_product.of_seq_zero filter.gi_generate filter.hyperfilter filter.infi_ne_bot_iff_of_directed filter.infi_ne_bot_iff_of_directed' filter.infi_ne_bot_of_directed filter.infi_ne_bot_of_directed' filter.infi_sets_eq filter.is_bounded_default filter.is_bounded_ge_of_bot filter.is_bounded_under filter.is_bounded_under_inf filter.is_cobounded_ge_of_top filter.is_cobounded_under filter.is_trans_ge filter.le_Liminf_of_le filter.lift_infi' filter.liminf filter.liminf_eq_supr_infi_of_nat filter.liminf_le_liminf filter.limsup filter.limsup_eq_infi_supr_of_nat filter.map_at_top_eq_of_gc filter.map_binfi_eq filter.map_div_at_top_eq_nat filter.map_infi_eq filter.mem_at_top_sets filter.mem_infi filter.mk_of_closure filter.monad filter.pcomap' filter.pmap filter.pointwise_add filter.pointwise_add_add_monoid filter.pointwise_mul filter.pointwise_mul_monoid filter.pointwise_one filter.pointwise_zero filter.ptendsto filter.ptendsto' filter.rcomap filter.rcomap' filter.realizer.of_eq filter.rmap filter.rtendsto filter.rtendsto' filter.tendsto_at_top' filter.tendsto_at_top_at_bot filter.tendsto_at_top_principal filter.ultrafilter.bind filter.ultrafilter.map filter.ultrafilter.pure fin.add_nat_val fin.cases fin.clamp fin.succ_rec fin.succ_rec_on fin2.cases' fin2.elim0 fin_dim_vectorspace_equiv fin_one_equiv fin_prod_fin_equiv fin_two_equiv fin_zero_elim' fin_zero_equiv find_cmd finite_field.field_of_integral_domain finmap.all finmap.any finmap.disjoint finmap.foldl finmap.sdiff finset.attach_fin finset.choose finset.choose_x finset.empty finset.insert_none finset.map finset.map_embedding finset.max finset.max' finset.min finset.min' finset.pi finset.pi.cons finset.pi.empty finset.powerset_len finset.preimage finset.prod_ite finset.strong_induction_on finset.subtype finset.sum finset.sum_ite finsets finsupp.antidiagonal finsupp.comap_domain finsupp.congr finsupp.curry finsupp.dom_congr finsupp.dom_lcongr finsupp.equiv_fun_on_fintype finsupp.equiv_multiset finsupp.erase finsupp.finsupp_prod_equiv finsupp.frange finsupp.lapply finsupp.lmap_domain finsupp.lsingle finsupp.lsubtype_domain finsupp.lsum finsupp.of_multiset finsupp.restrict_dom finsupp.restrict_support_equiv finsupp.split finsupp.split_comp finsupp.split_support finsupp.supported finsupp.supported_eq_span_single finsupp.supported_equiv_finsupp finsupp.to_multiset finsupp.total_on finsupp.uncurry fintype.bij_inv fintype.choose fintype.choose_x fintype.fintype_prod_left fintype.fintype_prod_right fintype.of_injective fintype.of_subsingleton fintype.subtype fintype_perm flip.bitraverse forall_eq_elim forall_ge_le_of_forall_le_succ fp.div_nat_lt_two_pow fp.emax fp.emin fp.float fp.float.add fp.float.div fp.float.is_finite fp.float.is_zero fp.float.mul fp.float.neg fp.float.sign fp.float.sign' fp.float.sub fp.float.zero fp.float_cfg fp.next_dn fp.next_dn_pos fp.next_up fp.next_up_pos fp.of_pos_rat_dn fp.of_rat fp.of_rat_dn fp.of_rat_up fp.prec fp.rmode fp.to_rat fp.valid_finite free_abelian_group free_abelian_group.lift free_abelian_group.lift.universal free_abelian_group.of free_add_monoid free_comm_ring free_comm_ring.is_supported free_comm_ring.lift free_comm_ring.map free_comm_ring.of free_comm_ring.restriction free_comm_ring_equiv_mv_polynomial_int free_comm_ring_pempty_equiv_int free_comm_ring_punit_equiv_polynomial_int free_group.free_group_empty_equiv_unit free_group.free_group_unit_equiv_int free_group.map.aux free_group.mk free_group.to_group.aux free_magma free_magma.length free_magma.lift free_magma.map free_magma.repr' free_magma.traverse free_monoid free_ring free_ring.lift free_ring.map free_ring.of free_ring.subsingleton_equiv_free_comm_ring free_ring.to_free_comm_ring free_ring_pempty_equiv_int free_ring_punit_equiv_polynomial_int free_semigroup free_semigroup.lift free_semigroup.lift' free_semigroup.map free_semigroup.of free_semigroup.traverse free_semigroup.traverse' free_semigroup_free_magma function.bicompl function.bicompr function.embedding function.embedding.Pi_congr_right function.embedding.arrow_congr_left function.embedding.arrow_congr_right function.embedding.congr function.embedding.equiv_of_surjective function.embedding.image function.embedding.of_not_nonempty function.embedding.of_surjective function.embedding.prod_congr function.embedding.refl function.embedding.set_value function.embedding.sigma_congr_right function.embedding.subtype function.embedding.subtype_map function.embedding.sum_congr function.embedding.trans function.injective.decidable_eq function.involutive.to_equiv function.restrict function.uncurry' functor.add_const functor.add_const.mk functor.add_const.run functor.comp.map functor.comp.mk functor.comp.run functor.const.mk functor.const.mk' functor.const.run functor.map_equiv gaussian_int gaussian_int.div gaussian_int.mod gaussian_int.to_complex ge.is_antisymm ge.is_linear_order ge.is_partial_order ge.is_preorder ge.is_refl ge.is_total ge.is_total_preorder ge.is_trans ge_from_le ge_iff_le ge_of_eq get_ext_subject gmultiples gpowers group.in_closure gsmul gt.is_antisymm gt.is_asymm gt.is_irrefl gt.is_strict_order gt.is_trans gt.is_trichotomous gt_from_lt gt_iff_lt gt_of_mul_lt_mul_neg_right has_edist has_inner hash_map.mk_as_list hash_map.valid.modify hidden holor.assoc_left holor.assoc_right holor_index.assoc_left holor_index.assoc_right holor_index.drop holor_index.take homemorph.to_measurable_equiv homeomorph.add_left homeomorph.add_right homeomorph.homeomorph_of_continuous_open homeomorph.inv homeomorph.mul_left homeomorph.mul_right homeomorph.neg homeomorph.prod_assoc homeomorph.prod_comm homeomorph.prod_congr homeomorph.refl homeomorph.sigma_prod_distrib homeomorph.symm homeomorph.trans hyperreal.epsilon_lt_pos hyperreal.gt_of_neg_of_infinitesimal hyperreal.infinite_neg_mul_of_not_infinitesimal_pos_infinite_neg hyperreal.infinite_pos_def hyperreal.infinite_pos_iff_infinite_and_pos hyperreal.infinite_pos_iff_infinite_of_nonneg hyperreal.infinite_pos_iff_infinite_of_pos hyperreal.infinite_pos_iff_infinitesimal_inv_pos hyperreal.infinite_pos_mul_of_infinite_pos_not_infinitesimal_pos hyperreal.infinitesimal_def hyperreal.infinitesimal_pos_iff_infinite_pos_inv hyperreal.is_st_iff_abs_sub_lt_delta hyperreal.lt_neg_of_pos_of_infinitesimal hyperreal.lt_of_pos_of_infinitesimal hyperreal.lt_of_tendsto_zero_of_pos hyperreal.neg_lt_of_tendsto_zero_of_pos hyperreal.pos_of_infinite_pos id.mk ideal ideal.closure ideal.is_coprime ideal.is_maximal ideal.is_prime ideal.is_principal ideal.is_principal.generator ideal.le_order_embedding_of_surjective ideal.lt_order_embedding_of_surjective ideal.map ideal.quotient ideal.quotient.lift ideal.quotient.map_mk ideal.quotient.mk ideal.quotient.nonzero_comm_ring ideal.quotient_inf_to_pi_quotient ideal.radical_pow ideal.span inducing infi_eq_elim infi_real_pos_eq_infi_nnreal_pos infinite infinite.nat_embedding initial_seg.le_add initial_seg.le_lt initial_seg.lt_or_eq int.bit_cases_on int.div_eq_div_of_mul_eq_mul int.eq_mul_div_of_mul_eq_mul_of_dvd_left int.even int.induction_on' int.modeq int.of_snum int.range int.shift2 int.to_nat' integral_closure irrational is_absolute_value.mem_uniformity is_add_group_hom.ker is_add_group_hom.to_linear_map is_add_subgroup.add_center is_add_subgroup.add_normalizer is_add_subgroup.group_equiv_quotient_times_subgroup is_add_subgroup.left_coset_equiv_subgroup is_add_subgroup.mem_trivial is_add_subgroup.normalizer_is_add_subgroup is_add_subgroup.trivial is_basis.coord_fun is_basis.repr is_basis.to_dual_flip is_cau_of_decreasing_bounded is_cau_of_mono_bounded is_cau_seq.cauchy₂ is_cau_seq.cauchy₃ is_cau_series_of_abv_le_cau is_closed_map is_comm_applicative is_conj is_cyclic is_cyclic.comm_group is_group_hom.ker is_integral is_lawful_bifunctor is_lawful_bitraversable is_lawful_monad_cont is_lawful_traversable is_linear_map is_linear_map.mk' is_local_ring is_local_ring_hom is_noetherian is_noetherian_iff_well_founded is_noetherian_ring is_null_measurable is_ring_anti_hom is_ring_hom.ker is_ring_hom.to_module is_seq_closed is_subfield is_subgroup.center is_subgroup.group_equiv_quotient_times_subgroup is_subgroup.left_coset_equiv_subgroup is_subgroup.mem_trivial is_subgroup.normalizer is_subgroup.normalizer_is_subgroup lattice.Inf_eq_bot lattice.complete_lattice.copy lattice.conditionally_complete_linear_order lattice.conditionally_complete_linear_order_bot lattice.fixed_points lattice.fixed_points.next lattice.fixed_points.next_fixed lattice.fixed_points.prev lattice.fixed_points.prev_fixed lattice.infi_eq_bot lazy_list.list_equiv_lazy_list lazy_list.traverse le_of_forall_ge_of_dense le_of_forall_le_of_dense lean.parser.get_includes lean.parser.get_namespace lean.parser.get_variables lebesgue_number_lemma_of_metric lebesgue_number_lemma_of_metric_sUnion left_add_coset left_add_coset_equiv left_coset left_coset_equiv lex linarith.add_exprs linarith.add_exprs_aux linarith.add_neg_eq_pfs linarith.cast_expr linarith.comp.add linarith.comp.coeff_of linarith.comp.is_contr linarith.comp.lt linarith.comp.scale linarith.comp_source linarith.comp_source.flatten linarith.comp_source.to_string linarith.elab_arg_list linarith.elim_all_vars linarith.elim_with_set linarith.expr_contains linarith.find_cancel_factor linarith.find_contr linarith.get_comps linarith.get_contr_lemma_name linarith.get_nat_comps linarith.get_rel_sides linarith.get_var_list linarith.get_vars linarith.guard_is_nat_prop linarith.guard_is_strict_int_prop linarith.ineq linarith.ineq.is_lt linarith.ineq.max linarith.ineq.to_string linarith.ineq_const_mul_nm linarith.ineq_const_nm linarith.ineq_pf_tp linarith.is_nat_int_coe linarith.is_numeric linarith.linarith_config linarith.linarith_monad linarith.linarith_monad.run linarith.list.mfind linarith.map_lt linarith.map_of_expr_mul_aux linarith.mk_cast_eq_and_nonneg_prfs linarith.mk_coe_nat_nonneg_prf linarith.mk_coe_nat_nonneg_prfs linarith.mk_int_pfs_of_nat_pf linarith.mk_lt_zero_pf_aux linarith.mk_neg_one_lt_zero_pf linarith.mk_non_strict_int_pf_of_strict_int_pf linarith.mk_prod_prf linarith.mk_single_comp_zero_pf linarith.monad.elim_var linarith.mul_eq linarith.mul_expr linarith.mul_neg linarith.mul_nonpos linarith.norm_hyp linarith.norm_hyp_aux linarith.parse_into_comp_and_expr linarith.partition_by_type linarith.partition_by_type_aux linarith.pcomp linarith.pcomp.add linarith.pcomp.is_contr linarith.pcomp.scale linarith.pelim_var linarith.preferred_type_of_goal linarith.rb_map.find_defeq linarith.rearr_comp linarith.rem_neg linarith.replace_nat_pfs linarith.replace_strict_int_pfs linarith.term_of_ineq_prf linarith.to_comp linarith.to_comp_fold linarith.update linarith.validate linear_equiv.to_equiv linear_equiv.to_linear_map linear_equiv_matrix linear_independent_monoid_hom linear_map linear_map.comp linear_map.compl₂ linear_map.compr₂ linear_map.flip linear_map.id linear_map.lcomp linear_map.lflip linear_map.llcomp linear_map.lsmul linear_map.map_finsupp_total linear_map.mk₂ linear_map.to_bilin linear_order.lift list.choose list.choose_x list.comp_traverse list.erase_dupkeys list.erasep list.extractp list.find_indexes_aux list.forall₂ list.func.add list.func.equiv list.func.get list.func.get_neg list.func.length_neg list.func.neg list.func.pointwise list.func.set list.func.sub list.head' list.insert_nth list.insert_nth_remove_nth_of_ge list.kextract list.kreplace list.lex list.map_head list.map_last list.map_with_index list.map_with_index_core list.mem_ext list.mmap_accuml list.mmap_accumr list.mpartition list.nodupkeys list.of_fn list.of_fn_aux list.of_fn_nth_val list.pairwise_gt_iota list.partition_map list.permutations_aux list.permutations_aux.rec list.permutations_aux2 list.reduce_option list.reverse_rec_on list.revzip list.scanr_aux list.split_on_p_aux list.sublists'_aux list.sublists_aux list.sublists_aux₁ list.sublists_len list.sublists_len_aux list.take' list.tfae list.to_alist list.to_finmap list.transpose_aux list.traverse lists lists.atom lists.induction_mut lists.is_list lists.mem lists.of' lists.of_list lists.to_list lists' lists'.cons lists'.of_list lists'.to_list loc.to_string loc.to_string_aux local_of_is_local_ring local_of_nonunits_ideal local_of_unique_max_ideal local_of_unit_or_unit_one_sub local_ring local_ring.nonunits_ideal local_ring.residue_field local_ring.residue_field.map localization.at_prime localization.away localization.away.inv_self localization.away.lift localization.away_to_away_right localization.equiv_of_equiv localization.fraction_ring.eq_zero_of_ne_zero_of_mul_eq_zero localization.fraction_ring.equiv_of_equiv localization.fraction_ring.inv_aux localization.fraction_ring.map localization.le_order_embedding localization.lift localization.lift' localization.map localization.mk localization.non_zero_divisors localization.r localized_attr localized_cmd locally_finite.realizer magma.free_semigroup magma.free_semigroup.lift magma.free_semigroup.map magma.free_semigroup.of magma.free_semigroup.r manifold_core.local_homeomorph manifold_core.to_manifold matrix matrix.col matrix.diagonal matrix.minor matrix.mul matrix.mul_vec matrix.row matrix.sub_down matrix.sub_down_left matrix.sub_down_right matrix.sub_left matrix.sub_right matrix.sub_up matrix.sub_up_left matrix.sub_up_right matrix.transpose matrix.vec_mul matrix.vec_mul_vec max_le_add_of_nonneg measurable_equiv.cast measurable_equiv.prod_comm measurable_equiv.prod_congr measurable_equiv.prod_sum_distrib measurable_equiv.refl measurable_equiv.set.image measurable_equiv.set.prod measurable_equiv.set.range measurable_equiv.set.range_inl measurable_equiv.set.range_inr measurable_equiv.set.singleton measurable_equiv.set.univ measurable_equiv.sum_congr measurable_equiv.sum_prod_distrib measurable_equiv.sum_prod_sum measurable_equiv.symm measurable_equiv.trans measurable_space measurable_space.dynkin_system.generate measurable_space.dynkin_system.of_measurable_space measurable_space.dynkin_system.restrict_on measurable_space.dynkin_system.to_measurable_space measurable_space.gi_generate_from measurable_space.mk_of_closure measure_theory.ae_eq_fun.add measure_theory.ae_eq_fun.neg measure_theory.ae_eq_fun.smul measure_theory.lintegral_eq_nnreal measure_theory.measure measure_theory.measure.integral measure_theory.measure.is_complete measure_theory.measure.map measure_theory.measure.of_measurable measure_theory.measure.with_density measure_theory.measure' measure_theory.outer_measure measure_theory.outer_measure.Inf_gen measure_theory.outer_measure.map measure_theory.outer_measure.sum measure_theory.outer_measure.to_measure measure_theory.outer_measure.trim measure_theory.simple_func.eapprox measure_theory.simple_func.fin_vol_supp measure_theory.simple_func.ite measure_theory.volume mem_uniformity_edist metric.Hausdorff_dist_le_of_inf_dist metric.cauchy_iff metric.cauchy_seq_iff metric.cauchy_seq_iff' metric.completion.mem_uniformity_dist metric.completion.uniformity_dist metric.completion.uniformity_dist' metric.continuous_iff metric.continuous_iff' metric.diam_ball metric.diam_closed_ball metric.diam_le_of_forall_dist_le metric.exists_ball_subset_ball metric.exists_delta_of_continuous metric.glue_premetric metric.glue_space metric.is_open_iff metric.mem_ball_self metric.mem_closed_ball_self metric.mem_closure_iff' metric.mem_closure_range_iff metric.mem_nhds_iff metric.mem_of_closed' metric.mem_uniformity_dist metric.mem_uniformity_edist metric.nhds_eq metric.pos_of_mem_ball metric.second_countable_of_almost_dense_set metric.second_countable_of_countable_discretization metric.sum.dist metric.tendsto_at_top metric.tendsto_nhds metric.to_glue_l metric.to_glue_r metric.totally_bounded_iff metric.totally_bounded_of_finite_discretization metric.uniform_continuous_iff metric.uniform_embedding_iff metric.uniform_embedding_iff' metric.uniformity_dist metric.uniformity_dist' metric.uniformity_edist' metric_space.induced metric_space.replace_uniformity min_le_add_of_nonneg_left min_le_add_of_nonneg_right module.End module.core module.direct_limit module.direct_limit.totalize module.of_core monad_cont monad_cont.goto monad_cont.label monoid.foldl.get monoid.foldl.mk monoid.foldl.of_free_monoid monoid.foldr monoid.foldr.get monoid.foldr.mk monoid.foldr.of_free_monoid monoid.mfoldl monoid.mfoldl.get monoid.mfoldl.mk monoid.mfoldl.of_free_monoid monoid.mfoldr monoid.mfoldr.get monoid.mfoldr.mk monoid.mfoldr.of_free_monoid monoid_hom.one monotonicity mtry mul_action.comp_hom mul_action.fixed_points mul_action.mul_left_cosets mul_action.orbit mul_action.orbit_equiv_quotient_stabilizer mul_action.orbit_rel mul_action.stabilizer mul_action.to_perm mul_equiv.to_equiv mul_mono_nonpos multiplicative multiplicity.finite multiplicity.finite_mul_aux multiset.choose multiset.choose_x multiset.decidable_exists_multiset multiset.decidable_forall_multiset multiset.le_inf multiset.length_ndinsert_of_mem multiset.length_ndinsert_of_not_mem multiset.pi.cons multiset.pi.empty multiset.powerset multiset.powerset_aux multiset.powerset_aux' multiset.powerset_len multiset.powerset_len_aux multiset.rec_on multiset.sections multiset.strong_induction_on multiset.subsingleton_equiv multiset.sum multiset.sup_le multiset.to_finsupp multiset.traverse mv_polynomial.R mv_polynomial.evalᵢ mv_polynomial.evalₗ mv_polynomial.indicator mv_polynomial.restrict_degree mv_polynomial.restrict_total_degree mv_power_series.inv mv_power_series.trunc_fun mzip_with mzip_with' name.last_string nat.cases nat.dist_eq_sub_of_ge nat.elim nat.even nat.galois_connection_mul_div nat.min_fac_aux nat.modeq.chinese_remainder nat.partrec nat.partrec.code nat.partrec.code.const nat.partrec.code.curry nat.partrec.code.encode_code nat.partrec.code.eval nat.partrec.code.evaln nat.partrec.code.id nat.partrec.code.of_nat_code nat.partrec'.vec nat.primrec'.vec nat.rfind nat.rfind_opt nat.rfind_x nat.sqrt_aux nat.subtype.denumerable nat.subtype.of_nat nat.subtype.succ nat.to_pexpr nat.totient nat.unpaired nat.xgcd_aux nnreal.le_of_forall_epsilon_le nnreal.le_of_real_iff_coe_le nnreal.of_real nnreal.of_real_lt_iff_lt_coe nonempty_interior_of_Union_of_closed nonneg_comm_group.to_decidable_linear_ordered_comm_group nonneg_ring.to_linear_nonneg_ring nonunits norm_cast.derive norm_num.derive norm_num.derive1 norm_num.eval_div_ext norm_num.eval_ineq norm_num.eval_pow norm_num.eval_prime norm_num.min_fac_helper norm_num.prove_lt norm_num.prove_min_fac norm_num.prove_non_prime norm_num.prove_pos normal_add_subgroup normal_of_eq_add_cosets normal_of_eq_cosets normal_subgroup normalize normed_group.tendsto_nhds_zero not.elim null_measurable num.add num.bit num.bit0 num.bit1 num.cmp num.cmp_to_nat num.div num.div2 num.gcd num.gcd_aux num.land num.ldiff num.lor num.lxor num.mod num.mul num.nat_size num.of_nat' num.of_znum num.of_znum' num.one_bits num.ppred num.pred num.psub num.shiftl num.shiftr num.size num.sub num.sub' num.succ num.succ' num.test_bit num.to_znum num.to_znum_neg num.transfer num.transfer_rw nzsnum.bit0 nzsnum.bit1 nzsnum.drec' nzsnum.head nzsnum.not nzsnum.sign nzsnum.tail obviously.attr old_conv old_conv.apply old_conv.apply' old_conv.apply_lemmas old_conv.apply_lemmas_core old_conv.apply_propext_lemmas old_conv.apply_propext_lemmas_core old_conv.apply_propext_simp_set old_conv.apply_simp_set old_conv.applyc old_conv.bind old_conv.bottom_up old_conv.change old_conv.congr old_conv.congr_arg old_conv.congr_binder old_conv.congr_core old_conv.congr_fun old_conv.congr_rule old_conv.conversion old_conv.current_relation old_conv.dsimp old_conv.execute old_conv.fail old_conv.failed old_conv.find old_conv.find_pattern old_conv.findp old_conv.first old_conv.funext old_conv.funext' old_conv.head_beta old_conv.interactive.change old_conv.interactive.dsimp old_conv.interactive.find old_conv.interactive.itactic old_conv.interactive.trace_state old_conv.interactive.whnf old_conv.istep old_conv.lhs old_conv.lift_tactic old_conv.map old_conv.match_expr old_conv.match_pattern old_conv.mk_match_expr old_conv.orelse old_conv.propext' old_conv.pure old_conv.repeat old_conv.save_info old_conv.seq old_conv.skip old_conv.step old_conv.to_tactic old_conv.top_down old_conv.trace old_conv.trace_lhs old_conv.whnf old_conv_result omega.abort omega.add_ee omega.cancel omega.clause omega.clause.append omega.clause.holds omega.clause.sat omega.clause.unsat omega.clauses.sat omega.clauses.unsat omega.clear_unused_hyp omega.clear_unused_hyps omega.coeffs.val omega.coeffs.val_between omega.coeffs.val_except omega.coeffs_reduce omega.ee omega.ee.repr omega.ee_commit omega.ee_state omega.elim_eq omega.elim_eqs omega.elim_var omega.elim_var_aux omega.eq_elim omega.eqelim omega.factor omega.find_ees omega.find_min_coeff omega.find_min_coeff_core omega.find_neg_const omega.find_scalars omega.find_scalars_core omega.form_domain omega.form_wf omega.gcd omega.get_ees omega.get_eqs omega.get_gcd omega.get_les omega.goal_domain omega.goal_domain_aux omega.head_eq omega.int.canonize omega.int.desugar omega.int.dnf omega.int.dnf_core omega.int.form omega.int.form.equiv omega.int.form.fresh_index omega.int.form.holds omega.int.form.implies omega.int.form.induce omega.int.form.repr omega.int.form.sat omega.int.form.unsat omega.int.form.valid omega.int.is_nnf omega.int.neg_elim omega.int.neg_free omega.int.nnf omega.int.preterm omega.int.preterm.add_one omega.int.preterm.fresh_index omega.int.preterm.repr omega.int.preterm.val omega.int.prove_lia omega.int.prove_univ_close omega.int.push_neg omega.int.to_form omega.int.to_form_core omega.int.to_preterm omega.int.univ_close omega.is_lia_form omega.is_lia_term omega.is_lna_form omega.is_lna_term omega.lin_comb omega.nat.bools.or omega.nat.canonize omega.nat.desugar omega.nat.dnf omega.nat.dnf_core omega.nat.form omega.nat.form.equiv omega.nat.form.fresh_index omega.nat.form.holds omega.nat.form.implies omega.nat.form.induce omega.nat.form.neg_free omega.nat.form.repr omega.nat.form.sat omega.nat.form.sub_free omega.nat.form.sub_subst omega.nat.form.sub_terms omega.nat.form.unsat omega.nat.form.valid omega.nat.is_diff omega.nat.is_nnf omega.nat.neg_elim omega.nat.neg_elim_core omega.nat.nnf omega.nat.nonneg_consts omega.nat.nonneg_consts_core omega.nat.nonnegate omega.nat.preterm omega.nat.preterm.add_one omega.nat.preterm.fresh_index omega.nat.preterm.induce omega.nat.preterm.prove_sub_free omega.nat.preterm.repr omega.nat.preterm.sub_free omega.nat.preterm.sub_subst omega.nat.preterm.sub_terms omega.nat.preterm.val omega.nat.prove_lna omega.nat.prove_neg_free omega.nat.prove_sub_free omega.nat.prove_univ_close omega.nat.prove_unsat_neg_free omega.nat.prove_unsat_sub_free omega.nat.push_neg omega.nat.sub_elim omega.nat.sub_elim_core omega.nat.sub_fresh_index omega.nat.term.vars omega.nat.term.vars_core omega.nat.terms.vars omega.nat.to_form omega.nat.to_form_core omega.nat.to_preterm omega.nat.univ_close omega.preprocess omega.prove_forall_mem_eq_zero omega.prove_neg omega.prove_unsat omega.prove_unsat_ef omega.prove_unsat_lin_comb omega.prove_unsats omega.rev_lia omega.rev_lna omega.revert_cond omega.revert_cond_all omega.rhs omega.run omega.select_domain omega.set_ees omega.set_eqs omega.set_les omega.sgm omega.subst omega.sym_sym omega.symdiv omega.symmod omega.term omega.term.add omega.term.div omega.term.fresh_index omega.term.mul omega.term.neg omega.term.sub omega.term.to_string omega.term.val omega.term_domain omega.terms.fresh_index omega.trisect omega.type_domain omega.unsat_lin_comb omega.update omega.update_zero omega_int omega_nat onote.oadd_lt_oadd_1 onote.oadd_lt_oadd_2 onote.oadd_lt_oadd_3 onote.power_aux onote.to_string_aux1 open_add_subgroup open_add_subgroup.sum open_locale_cmd open_subgroup.prod opposite.op opposite.op_induction opposite.unop opt_minus option.cases_on' option.comp_traverse option.lift_or_get option.rel option.to_list option.traverse option_t.call_cc option_t.mk_label option_t.pass_aux order_embedding.collapse_F order_embedding.lt_embedding_of_le_embedding order_embedding.nat_gt order_embedding.nat_lt order_embedding.refl order_embedding.trans order_embedding.well_founded_iff_no_descending_seq order_iso.of_surjective order_iso.prod_lex_congr order_iso.refl order_iso.sum_lex_congr order_iso.symm order_iso.to_order_embedding order_iso.trans order_of_pos ordering.compares.eq_gt ordinal.CNF_rec ordinal.CNF_sorted ordinal.add_absorp_iff ordinal.initial_seg_out ordinal.lift.initial_seg ordinal.lift.principal_seg ordinal.limit_rec_on ordinal.order_iso_out ordinal.principal_seg_out ordinal.typein.principal_seg ordinal.typein_iso ordinal.unbounded_range_of_sup_ge pSet.definable.eq_mk pSet.definable.resp pSet.resp.equiv pSet.resp.eval_aux pSet.resp.f pSet.subset padic.complete' padic.exi_rat_seq_conv padic.lim_seq padic.padic_norm_e_lim_le padic.rat_dense padic.rat_dense' padic_norm.neg padic_norm_e.defn padic_norm_e.nonneg padic_norm_e.rat_norm padic_norm_z padic_seq padic_seq.norm_nonneg padic_seq.stationary_point_spec partial_order.lift partrec partrec₂ pell.asq_pos pell.az pell.d_pos pell.dnsq pell.dvd_of_ysq_dvd pell.dz_val pell.eq_of_xn_modeq pell.eq_of_xn_modeq' pell.eq_of_xn_modeq_le pell.eq_of_xn_modeq_lem1 pell.eq_of_xn_modeq_lem2 pell.eq_of_xn_modeq_lem3 pell.eq_pell pell.eq_pell_lem pell.eq_pell_zd pell.eq_pow_of_pell pell.eq_pow_of_pell_lem pell.is_pell pell.is_pell_conj pell.is_pell_mul pell.is_pell_nat pell.is_pell_norm pell.is_pell_one pell.is_pell_pell_zd pell.matiyasevic pell.modeq_of_xn_modeq pell.n_lt_a_pow pell.n_lt_xn pell.pell_eq pell.pell_eqz pell.pell_val pell.pell_zd pell.pell_zd_add pell.pell_zd_im pell.pell_zd_re pell.pell_zd_sub pell.pell_zd_succ pell.pell_zd_succ_succ pell.x_increasing pell.x_pos pell.x_sub_y_dvd_pow pell.x_sub_y_dvd_pow_lem pell.xn pell.xn_add pell.xn_ge_a_pow pell.xn_modeq_x2n_add pell.xn_modeq_x2n_add_lem pell.xn_modeq_x2n_sub pell.xn_modeq_x2n_sub_lem pell.xn_modeq_x4n_add pell.xn_modeq_x4n_sub pell.xn_one pell.xn_succ pell.xn_succ_succ pell.xn_zero pell.xy_coprime pell.xy_modeq_of_modeq pell.xy_modeq_yn pell.xy_succ_succ pell.xz pell.xz_sub pell.xz_succ pell.xz_succ_succ pell.y_dvd_iff pell.y_increasing pell.y_mul_dvd pell.yn pell.yn_add pell.yn_ge_n pell.yn_modeq_a_sub_one pell.yn_modeq_two pell.yn_one pell.yn_succ pell.yn_succ_succ pell.yn_zero pell.ysq_dvd_yy pell.yz pell.yz_sub pell.yz_succ pell.yz_succ_succ pempty.elim pequiv.matrix_mul_apply pequiv.mul_matrix_apply pequiv.of_set pequiv.refl pequiv.single pequiv.single_mul_single_right pequiv.symm pequiv.to_matrix pequiv.trans pequiv.trans_single_of_eq_none perfect_closure.UMP perfect_closure.eq_iff' perfect_closure.frobenius_equiv perfect_closure.has_inv perfect_closure.of perfect_closure.r perms_of_finset perms_of_list pexpr.get_uninst_pis pfun.core pfun.equiv_subtype pfun.fix pfun.fix_induction pfun.graph' pfun.image pfun.preimage pfun.res pgame.add_lt_add pgame.numeric.lt_move_right pgame.numeric.move_left_lt pi.lex pi.linear_independent_std_basis pilex pmf.bernoulli pmf.bind pmf.map pmf.of_fintype pmf.of_multiset pmf.pure pmf.seq pmf.support pnat.div pnat.div_exact pnat.gcd pnat.gcd_a' pnat.gcd_b' pnat.gcd_d pnat.gcd_w pnat.gcd_x pnat.gcd_y pnat.gcd_z pnat.lcm pnat.mod pnat.mod_div pnat.prime pnat.xgcd pnat.xgcd_type.a pnat.xgcd_type.b pnat.xgcd_type.finish pnat.xgcd_type.flip pnat.xgcd_type.is_reduced' pnat.xgcd_type.is_special' pnat.xgcd_type.mk' pnat.xgcd_type.q pnat.xgcd_type.qp pnat.xgcd_type.r pnat.xgcd_type.succ₂ pnat.xgcd_type.v pnat.xgcd_type.w pnat.xgcd_type.z polynomial.binom_expansion polynomial.coeff_coe_to_fun polynomial.comp polynomial.decidable_dvd_monic polynomial.degree_eq_iff_nat_degree_eq_of_pos polynomial.div polynomial.div_mod_by_monic_aux polynomial.eval_sub_factor polynomial.eval₂_zero polynomial.lcoeff polynomial.map_injective polynomial.mod polynomial.monomial polynomial.nonzero_comm_ring.of_polynomial_ne polynomial.nonzero_comm_semiring.of_polynomial_ne polynomial.pow_add_expansion polynomial.pow_sub_pow_factor polynomial.rec_on_horner polynomial.root_multiplicity polynomial.splits polynomial.tendsto_infinity pos_num.add pos_num.bit pos_num.cmp pos_num.cmp_to_nat pos_num.div' pos_num.divmod pos_num.divmod_aux pos_num.is_one pos_num.land pos_num.ldiff pos_num.lor pos_num.lxor pos_num.mod' pos_num.mul pos_num.nat_size pos_num.of_nat pos_num.of_nat_succ pos_num.of_znum pos_num.of_znum' pos_num.one_bits pos_num.pred pos_num.pred' pos_num.pred_to_nat pos_num.shiftl pos_num.shiftr pos_num.size pos_num.sqrt_aux pos_num.sqrt_aux1 pos_num.sub pos_num.sub' pos_num.succ pos_num.test_bit pos_num.transfer pos_num.transfer_rw power_series.inv power_series.inv.aux power_series.mk power_series.order_add_ge power_series.order_ge power_series.order_ge_nat power_series.order_mul_ge premetric_space preorder.lift primcodable.of_equiv primcodable.subtype prime_multiset.of_nat_multiset prime_multiset.of_pnat_list prime_multiset.of_pnat_multiset prime_multiset.prod prime_multiset.to_pnat_multiset principal_ideal_domain principal_ideal_domain.factors principal_seg principal_seg.equiv_lt principal_seg.lt_equiv principal_seg.lt_le principal_seg.top_lt_top principal_seg.trans principal_seg.trans_top prod.bitraverse prod.lex.decidable push_neg.normalize_negations push_neg.push_neg_at_goal push_neg.push_neg_at_hyp push_neg.whnf_reducible quot.hrec_on₂ quotient.choice quotient.fin_choice quotient.fin_choice_aux quotient.hrec_on₂ quotient.lift_on' quotient.lift_on₂' quotient.mk' quotient.out' quotient_add_group.eq_class_eq_left_coset quotient_add_group.inhabited quotient_add_group.ker_lift quotient_add_group.left_rel quotient_add_group.lift quotient_add_group.map quotient_add_group.mk quotient_add_group.quotient quotient_add_group.quotient_ker_equiv_of_surjective quotient_add_group.quotient_ker_equiv_range quotient_group.eq_class_eq_left_coset quotient_group.fintype quotient_group.inhabited quotient_group.left_rel quotient_group.lift quotient_group.map quotient_group.mk quotient_group.preimage_mk_equiv_subgroup_times_set quotient_group.quotient_ker_equiv_of_surjective quotient_group.quotient_ker_equiv_range rank rat.add rat.inv rat.le rat.mul rat.neg rat.nonneg rat.num_denom_cases_on rat.num_denom_cases_on' rat.repr rat.sqrt rat_add_continuous_lemma rat_inv_continuous_lemma rat_mul_continuous_lemma re_pred reader_t.call_cc reader_t.mk_label real real.Inf real.Sup real.comm_ring_aux real.cos real.cosh real.exp real.le real.le_mk_of_forall_le real.le_of_forall_epsilon_le real.mk real.mk_le_of_forall_le real.mk_near_of_forall_near real.of_near real.of_rat real.pi_gt_314 real.pi_gt_sqrt_two_add_series real.pi_gt_three real.sin real.sinh real.sqrt real.sqrt_aux real.sqrt_two_add_series_nonneg real.sqrt_two_add_series_zero_nonneg real.tan real.tanh relation.comp relation.join relation.map relator.bi_total relator.bi_unique relator.left_total relator.left_unique relator.lift_fun relator.right_total relator.right_unique restate_axiom_cmd right_add_coset right_coset ring.closure ring.direct_limit ring_anti_equiv.refl ring_equiv ring_equiv.to_add_equiv ring_equiv.to_equiv ring_equiv.to_mul_equiv ring_hom.to_add_monoid_hom ring_hom.to_monoid_hom ring_invo.id ring_invo.to_ring_anti_equiv roption.equiv_option roption.get_or_else roption.restrict saturate_fun semiquot.bind semiquot.get semiquot.is_pure semiquot.map separated seq.bisim_o seq.cases_on seq.corec.F seq.is_bisimulation seq.mem sequence set.Union_eq_sigma_of_disjoint set.add_comm_monoid set.bUnion_eq_sigma_of_disjoint set.centralizer.add_submonoid set.comm_monoid set.countable.to_encodable set.enumerate set.fintype_bUnion set.fintype_bind set.fintype_insert' set.fintype_of_fintype_image set.fintype_subset set.kern_image set.pairwise_disjoint set.pi set.pointwise_add set.pointwise_add_add_monoid set.pointwise_add_add_semigroup set.pointwise_add_fintype set.pointwise_inv set.pointwise_mul set.pointwise_mul_action set.pointwise_mul_comm_semiring set.pointwise_mul_fintype set.pointwise_mul_monoid set.pointwise_mul_semigroup set.pointwise_mul_semiring set.pointwise_neg set.pointwise_one set.pointwise_zero set.seq set.sigma_to_Union set_fintype setoid.is_partition side side.other side.to_string simple_add_group simple_group snum.add snum.bit snum.bit0 snum.bit1 snum.bits snum.cadd snum.czadd snum.drec' snum.head snum.mul snum.neg snum.not snum.pred snum.rec' snum.sign snum.sub snum.succ snum.tail snum.test_bit state_t.call_cc state_t.mk_label strict_order.cof string.ltb string.map_tokens string.over_list string.split_on subalgebra subalgebra.comap subalgebra.fg subalgebra.to_submodule subalgebra.under subalgebra.val subgroup_units_cyclic submodule.annihilator submodule.colon submodule.fg submodule.subtype subrel.order_embedding subtype.restrict succeeds sum.bind sum.bitraverse sum.comp_traverse sum.elim sum.map sum.traverse sum.traverse_map sum_fin_sum_equiv summable_iff_vanishing_norm supr_eq_elim surreal.add swap_right sylow.fixed_points_mul_left_cosets_equiv_quotient sylow.mk_vector_prod_eq_one sylow.rotate_vectors_prod_eq_one sylow.vectors_prod_eq_one tactic.abel.add_g tactic.abel.cache tactic.abel.cache.app tactic.abel.cache.iapp tactic.abel.cache.int_to_expr tactic.abel.cache.mk_app tactic.abel.cache.mk_term tactic.abel.eval tactic.abel.eval' tactic.abel.eval_add tactic.abel.eval_atom tactic.abel.eval_neg tactic.abel.eval_smul tactic.abel.mk_cache tactic.abel.normal_expr tactic.abel.normal_expr.e tactic.abel.normal_expr.pp tactic.abel.normal_expr.refl_conv tactic.abel.normal_expr.term' tactic.abel.normal_expr.to_list tactic.abel.normal_expr.to_string tactic.abel.normal_expr.zero' tactic.abel.normalize tactic.abel.normalize_mode tactic.abel.smul tactic.abel.smulg tactic.abel.term tactic.abel.termg tactic.abstract_if_success tactic.add_coinductive_predicate tactic.add_coinductive_predicate.coind_pred tactic.add_coinductive_predicate.coind_pred.add_theorem tactic.add_coinductive_predicate.coind_pred.construct tactic.add_coinductive_predicate.coind_pred.corec_functional tactic.add_coinductive_predicate.coind_pred.destruct tactic.add_coinductive_predicate.coind_pred.func tactic.add_coinductive_predicate.coind_pred.func_g tactic.add_coinductive_predicate.coind_pred.f₁_l tactic.add_coinductive_predicate.coind_pred.f₂_l tactic.add_coinductive_predicate.coind_pred.impl_locals tactic.add_coinductive_predicate.coind_pred.impl_params tactic.add_coinductive_predicate.coind_pred.le tactic.add_coinductive_predicate.coind_pred.mono tactic.add_coinductive_predicate.coind_pred.pred tactic.add_coinductive_predicate.coind_pred.pred_g tactic.add_coinductive_predicate.coind_pred.rec' tactic.add_coinductive_predicate.coind_pred.u_params tactic.add_coinductive_predicate.coind_rule tactic.add_edge tactic.add_refl tactic.add_symm_proof tactic.alias.alias_attr tactic.alias.alias_cmd tactic.alias.alias_direct tactic.alias.alias_iff tactic.alias.get_alias_target tactic.alias.get_lambda_body tactic.alias.make_left_right tactic.alias.mk_iff_mp_app tactic.all_rewrites_using tactic.ancestor_attr tactic.apply_mod_cast tactic.assert_fresh tactic.assertv_fresh tactic.assoc_refl tactic.assoc_refl' tactic.assoc_rewrite tactic.assoc_rewrite_hyp tactic.assoc_rewrite_intl tactic.assoc_rewrite_target tactic.assoc_root tactic.assumption_mod_cast tactic.assumption_symm tactic.assumption_with tactic.calculated_Prop tactic.chain tactic.chain_core tactic.chain_eq_trans tactic.coinductive_predicate tactic.constr_to_prop tactic.contradiction_symm tactic.contradiction_with tactic.def_replacer_cmd tactic.derive_field tactic.derive_field_subtype tactic.derive_reassoc_proof tactic.elide.replace tactic.elide.unelide tactic.enum_assoc_subexpr tactic.enum_assoc_subexpr' tactic.exact_mod_cast tactic.explode tactic.explode.append_dep tactic.explode.args tactic.explode.core tactic.explode.entries tactic.explode.entries.add tactic.explode.entries.find tactic.explode.entries.head tactic.explode.entries.size tactic.explode.entry tactic.explode.format_aux tactic.explode.head' tactic.explode.may_be_proof tactic.explode.pad_right tactic.explode.status tactic.explode_cmd tactic.explode_expr tactic.expr_list_to_list_expr tactic.ext tactic.ext1 tactic.ext_parse tactic.ext_patt tactic.fill_args tactic.fin_cases_at tactic.fin_cases_at_aux tactic.find_ancestors tactic.find_eq_type tactic.find_if_cond tactic.find_if_cond_at tactic.flatten tactic.generalize_proofs tactic.get_ancestors tactic.get_lift_prf tactic.get_nth_rewrite tactic.goals tactic.interactive.abel.mode tactic.interactive.ac_mono_ctx tactic.interactive.ac_mono_ctx.to_tactic_format tactic.interactive.ac_mono_ctx' tactic.interactive.ac_mono_ctx'.map tactic.interactive.ac_mono_ctx'.traverse tactic.interactive.ac_mono_ctx_ne tactic.interactive.ac_monotonicity_goal tactic.interactive.ac_refine tactic.interactive.apply_iff_congr_core tactic.interactive.apply_normed tactic.interactive.apply_rel tactic.interactive.arity tactic.interactive.as_goal tactic.interactive.assert_or_rule tactic.interactive.auto_simp_lemma tactic.interactive.best_match tactic.interactive.bin_op tactic.interactive.bin_op_left tactic.interactive.bin_op_right tactic.interactive.check_ac tactic.interactive.clean_ids tactic.interactive.coinduction tactic.interactive.collect_struct tactic.interactive.collect_struct' tactic.interactive.compact_decl tactic.interactive.compact_decl_aux tactic.interactive.compare tactic.interactive.congr_core' tactic.interactive.conv_lhs tactic.interactive.conv_rhs tactic.interactive.convert_to_core tactic.interactive.delete_expr tactic.interactive.derive_functor tactic.interactive.derive_lawful_functor tactic.interactive.derive_lawful_traversable tactic.interactive.derive_traverse tactic.interactive.field tactic.interactive.filter_instances tactic.interactive.find tactic.interactive.find_lemma tactic.interactive.find_one_difference tactic.interactive.find_rule tactic.interactive.fold_assoc tactic.interactive.fold_assoc1 tactic.interactive.format_names tactic.interactive.fsplit tactic.interactive.functor_derive_handler tactic.interactive.functor_derive_handler' tactic.interactive.get_current_field tactic.interactive.get_equations_of tactic.interactive.get_monotonicity_lemmas tactic.interactive.get_operator tactic.interactive.guard_class tactic.interactive.guard_expr_eq' tactic.interactive.guard_hyp_nums tactic.interactive.guard_tags tactic.interactive.hide_meta_vars' tactic.interactive.higher_order_derive_handler tactic.interactive.injections_and_clear tactic.interactive.last_two tactic.interactive.lawful_functor_derive_handler tactic.interactive.lawful_functor_derive_handler' tactic.interactive.lawful_traversable_derive_handler tactic.interactive.lawful_traversable_derive_handler' tactic.interactive.list.minimum_on tactic.interactive.list_cast_of tactic.interactive.list_cast_of_aux tactic.interactive.loc.get_local_pp_names tactic.interactive.loc.get_local_uniq_names tactic.interactive.match_ac tactic.interactive.match_ac' tactic.interactive.match_chaining_rules tactic.interactive.match_imp tactic.interactive.match_prefix tactic.interactive.match_rule tactic.interactive.mk_congr_args tactic.interactive.mk_congr_law tactic.interactive.mk_fun_app tactic.interactive.mk_mapp' tactic.interactive.mk_mapp_aux' tactic.interactive.mk_one_instance tactic.interactive.mk_paragraph_aux tactic.interactive.mk_pattern tactic.interactive.mk_rel tactic.interactive.mono_aux tactic.interactive.mono_cfg tactic.interactive.mono_function tactic.interactive.mono_function.to_tactic_format tactic.interactive.mono_head_candidates tactic.interactive.mono_key tactic.interactive.mono_law tactic.interactive.mono_law.to_tactic_format tactic.interactive.mono_selection tactic.interactive.monotoncity.check tactic.interactive.monotoncity.check_rel tactic.interactive.monotonicity.attr tactic.interactive.obtain_parse tactic.interactive.old_conv tactic.interactive.one_line tactic.interactive.op_induction tactic.interactive.parse_ac_mono_function tactic.interactive.parse_ac_mono_function' tactic.interactive.parse_assoc_chain tactic.interactive.parse_assoc_chain' tactic.interactive.parse_config tactic.interactive.parse_list tactic.interactive.pi_head tactic.interactive.pi_instance tactic.interactive.rec.to_tactic_format tactic.interactive.record_lit tactic.interactive.refine_one tactic.interactive.refine_recursively tactic.interactive.rep_arity tactic.interactive.repeat_or_not tactic.interactive.repeat_until tactic.interactive.return_cast tactic.interactive.revert_all tactic.interactive.ring.mode tactic.interactive.same_function tactic.interactive.same_function_aux tactic.interactive.same_operator tactic.interactive.side tactic.interactive.side_conditions tactic.interactive.simp_functor tactic.interactive.solve_mvar tactic.interactive.source_fields tactic.interactive.squeeze_simp tactic.interactive.squeeze_simpa tactic.interactive.tfae_have tactic.interactive.traversable_derive_handler tactic.interactive.traversable_derive_handler' tactic.interactive.traversable_law_starter tactic.interactive.traverse_constructor tactic.interactive.traverse_field tactic.interactive.unify_with_instance tactic.interactive.with_prefix tactic.interactive.work_on_goal tactic.library_search_hole_cmd tactic.list_Pi tactic.list_Sigma tactic.local_cache.internal.block_local.clear tactic.local_cache.internal.block_local.get_name tactic.local_cache.internal.block_local.present tactic.local_cache.internal.block_local.try_get_name tactic.local_cache.internal.cache_scope tactic.local_cache.internal.def_local.FNV_OFFSET_BASIS tactic.local_cache.internal.def_local.FNV_PRIME tactic.local_cache.internal.def_local.RADIX tactic.local_cache.internal.def_local.apply_tag tactic.local_cache.internal.def_local.clear tactic.local_cache.internal.def_local.get_name tactic.local_cache.internal.def_local.get_root_name tactic.local_cache.internal.def_local.get_tag_with_status tactic.local_cache.internal.def_local.hash_byte tactic.local_cache.internal.def_local.hash_context tactic.local_cache.internal.def_local.hash_string tactic.local_cache.internal.def_local.is_name_dead tactic.local_cache.internal.def_local.kill_name tactic.local_cache.internal.def_local.mk_dead_name tactic.local_cache.internal.def_local.present tactic.local_cache.internal.def_local.try_get_name tactic.local_cache.internal.load_data tactic.local_cache.internal.mk_full_namespace tactic.local_cache.internal.poke_data tactic.local_cache.internal.run_once_under_name tactic.local_cache.internal.save_data tactic.match_assoc_pattern tactic.match_assoc_pattern' tactic.match_fn tactic.merge_list tactic.mk_assoc tactic.mk_assoc_instance tactic.mk_assoc_pattern tactic.mk_assoc_pattern' tactic.mk_congr_arg_using_dsimp' tactic.mk_eq_proof tactic.mk_iff tactic.mk_replacer tactic.mk_replacer₁ tactic.mk_replacer₂ tactic.mllist tactic.mllist.append tactic.mllist.bind_ tactic.mllist.concat tactic.mllist.empty tactic.mllist.enum tactic.mllist.enum_from tactic.mllist.filter tactic.mllist.filter_map tactic.mllist.fix tactic.mllist.fixl tactic.mllist.fixl_with tactic.mllist.force tactic.mllist.head tactic.mllist.join tactic.mllist.m_of_list tactic.mllist.map tactic.mllist.mfilter tactic.mllist.mfilter_map tactic.mllist.mfirst tactic.mllist.mmap tactic.mllist.monad_lift tactic.mllist.of_list tactic.mllist.range tactic.mllist.squash tactic.mllist.take tactic.mllist.uncons tactic.modify_ref tactic.mono tactic.op_induction tactic.op_induction.find_opposite_hyp tactic.op_induction.is_opposite tactic.op_induction' tactic.perform_nth_rewrite tactic.prove_eqv_target tactic.rcases.continue tactic.rcases.process_constructors tactic.rcases_core tactic.rcases_hint tactic.rcases_hint.continue tactic.rcases_hint.process_constructors tactic.rcases_hint_core tactic.rcases_parse_depth tactic.rcases_patt tactic.rcases_patt.format tactic.rcases_patt.invert tactic.rcases_patt.invert' tactic.rcases_patt.invert_list tactic.rcases_patt.invert_many tactic.rcases_patt.merge tactic.rcases_patt.name tactic.rcases_patt_inverted.format tactic.rcases_patt_inverted.format_list tactic.rcases_patt_inverted.invert tactic.rcases_patt_inverted.invert_list tactic.rcases_patt_parse tactic.rcases_patt_parse_core tactic.rcases_patt_parse_list tactic.reduce_ifs_at tactic.refl_conv tactic.repeat_count tactic.repeat_with_results tactic.replaceable_attr tactic.replacer tactic.replacer_attr tactic.replacer_core tactic.rewrite_all.cfg tactic.rewrite_all.congr.app_map tactic.rewrite_all.congr.expr_lens tactic.rewrite_all.congr.expr_lens.congr tactic.rewrite_all.congr.expr_lens.replace tactic.rewrite_all.congr.expr_lens.to_sides tactic.rewrite_all.congr.expr_lens.to_tactic_string tactic.rewrite_all.congr.rewrite_all tactic.rewrite_all.congr.rewrite_all_lazy tactic.rewrite_all.congr.rewrite_at_lens tactic.rewrite_all.congr.rewrite_is_of_entire tactic.rewrite_all.congr.rewrite_without_new_mvars tactic.rewrite_all.tracked_rewrite tactic.rewrite_all.tracked_rewrite.eval tactic.rewrite_all.tracked_rewrite.replace_target tactic.rewrite_all.tracked_rewrite.replace_target_lhs tactic.rewrite_all.tracked_rewrite.replace_target_rhs tactic.ring.add_atom tactic.ring.cache tactic.ring.cache.cs_app tactic.ring.eval tactic.ring.eval' tactic.ring.eval_add tactic.ring.eval_atom tactic.ring.eval_const_mul tactic.ring.eval_horner tactic.ring.eval_mul tactic.ring.eval_neg tactic.ring.eval_pow tactic.ring.get_atom tactic.ring.get_cache tactic.ring.get_transparency tactic.ring.horner tactic.ring.horner_expr tactic.ring.horner_expr.e tactic.ring.horner_expr.pp tactic.ring.horner_expr.refl_conv tactic.ring.horner_expr.to_string tactic.ring.horner_expr.xadd' tactic.ring.lift tactic.ring.normalize tactic.ring.normalize_mode tactic.ring.ring_m tactic.ring.ring_m.mk_app tactic.ring.ring_m.run tactic.ring2.horner_expr.add tactic.ring2.horner_expr.add_aux tactic.ring2.horner_expr.add_const tactic.ring2.horner_expr.inv tactic.ring2.horner_expr.mul tactic.ring2.horner_expr.mul_aux tactic.ring2.horner_expr.mul_const tactic.ring2.horner_expr.neg tactic.ring2.horner_expr.pow tactic.ring2.horner_expr.to_string tactic.rintro tactic.rintro_hint tactic.rintro_parse tactic.root tactic.select tactic.split_if1 tactic.split_ifs tactic.suggest.decl_data tactic.symm_eq tactic.symmetry_hyp tactic.tauto_state tactic.tautology tactic.tfae.arrow tactic.tfae.mk_implication tactic.tfae.mk_name tactic.tidy tactic.tidy.cfg tactic.tidy.core tactic.tidy.default_tactics tactic.tidy.ext1_wrapper tactic.tidy.name_to_tactic tactic.tidy.run_tactics tactic.tidy.tidy_attribute tactic.tidy_hole_cmd tactic.to_texpr tactic.trace_output tactic.trans_conv tactic.transfer tactic.transport_with_prefix_dict tactic.transport_with_prefix_fun tactic.try_intros tactic.unify_prefix tactic.unprime tactic.using_texpr tactic.valid_types tactic.wlog tensor_product tensor_product.assoc tensor_product.congr tensor_product.curry tensor_product.direct_sum tensor_product.lcurry tensor_product.lift tensor_product.lift.equiv tensor_product.lift_aux tensor_product.map tensor_product.mk tensor_product.relators tensor_product.smul.aux tensor_product.tmul tensor_product.uncurry times_cont_diff.times_cont_diff_fderiv_apply to_additive.attr to_additive.aux_attr to_additive.guess_name to_additive.map_namespace to_additive.parser to_additive.proceed_fields to_additive.target_name to_additive.tokens_dict to_additive.value_type topological_add_group.to_uniform_space topological_space.open_nhds topological_space.open_nhds.inclusion topological_space.open_nhds.inclusion_map_iso topological_space.open_nhds.map topological_space.opens.gi topological_space.opens.interior topological_space.opens.is_basis topological_space.opens.map_comp topological_space.opens.map_id topological_space.opens.map_iso topological_space.opens.to_Top topological_space.seq_tendsto_iff transfer.analyse_decls transfer.compute_transfer traversable traversable.fold_map traversable.foldl traversable.foldr traversable.free.map traversable.free.mk traversable.length traversable.map_fold traversable.mfoldl traversable.mfoldl.unop_of_free_monoid traversable.mfoldr traversable.pure_transformation tree tree.map tree.repr trunc.bind trunc.lift_on trunc.map trunc.rec trunc.rec_on trunc.rec_on_subsingleton turing.TM0.cfg.inhabited turing.TM0.cfg.map turing.TM0.machine turing.TM0.machine.map turing.TM0.machine.map_respects turing.TM0.machine.map_step turing.TM0.stmt.inhabited turing.TM0.stmt.map turing.TM0to1.tr turing.TM0to1.tr_cfg turing.TM0to1.Λ' turing.TM1.cfg.inhabited turing.TM1.eval turing.TM1.init turing.TM1.step turing.TM1.stmts turing.TM1.stmts₁ turing.TM1.supports_stmt turing.TM1to0.tr turing.TM1to0.tr_aux turing.TM1to0.tr_cfg turing.TM1to0.tr_eval turing.TM1to0.tr_stmts turing.TM1to0.Λ' turing.TM1to1.move turing.TM1to1.read turing.TM1to1.read_aux turing.TM1to1.step_aux_move turing.TM1to1.step_aux_write turing.TM1to1.supports_stmt_move turing.TM1to1.supports_stmt_write turing.TM1to1.tr turing.TM1to1.tr_cfg turing.TM1to1.tr_normal turing.TM1to1.tr_supp turing.TM1to1.tr_tape turing.TM1to1.tr_tape' turing.TM1to1.tr_tape_drop_right turing.TM1to1.write turing.TM1to1.writes turing.TM1to1.Λ' turing.TM2.cfg turing.TM2.cfg.inhabited turing.TM2.eval turing.TM2.init turing.TM2.reaches turing.TM2.step turing.TM2.step_aux turing.TM2.stmts turing.TM2.stmts₁ turing.TM2.supports turing.TM2.supports_stmt turing.TM2to1.st_act turing.TM2to1.st_run turing.TM2to1.st_var turing.TM2to1.st_write turing.TM2to1.stackel turing.TM2to1.stackel.get turing.TM2to1.stackel.is_bottom turing.TM2to1.stackel.is_top turing.TM2to1.stackel_equiv turing.TM2to1.stmt_st_rec turing.TM2to1.tr turing.TM2to1.tr_cfg turing.TM2to1.tr_init turing.TM2to1.tr_normal turing.TM2to1.tr_st_act turing.TM2to1.tr_stk turing.TM2to1.tr_stmts₁ turing.TM2to1.tr_supp turing.TM2to1.Γ' turing.TM2to1.Λ' turing.dwrite turing.eval turing.frespects turing.pointed_map turing.reaches turing.reaches₀ turing.reaches₁ turing.respects turing.tape turing.tape.map turing.tape.mk turing.tape.mk' turing.tape.move turing.tape.nth turing.tape.write uniform_continuous uniform_continuous₂ uniform_embedding uniform_inducing uniform_space.completion.completion_separation_quotient_equiv uniform_space.completion.cpkg uniform_space.completion.extension₂ uniform_space.completion.map₂ uniform_space.core.mk' uniform_space.mk' uniform_space.of_core uniform_space.of_core_eq uniform_space.sep_quot_equiv_ring_quot uniform_space.separation_quotient uniform_space.separation_quotient.lift uniform_space.separation_quotient.map uniform_space.separation_setoid uniformity_dist_of_mem_uniformity uniformity_edist uniformity_edist' uniformity_edist'' uniformity_edist_nnreal unique unique.of_surjective unique_factorization_domain.exists_mem_factors_of_dvd unique_factorization_domain.of_unique_irreducible_factorization unique_irreducible_factorization unique_unique_equiv units units.inv' units.map units.map_equiv units.mk_of_mul_eq_one units.mul vector.insert_nth vector.m_of_fn vector.mmap vector.reverse vector.to_array vector.traverse vector.traverse_def vector3.cons_elim vector3.nil_elim vector3.rec_on vector_space.dim well_founded.succ well_founded.sup well_founded_submodule_gt where.binder_less_important where.binder_priority where.collect_by where.collect_by_aux where.collect_implicit_names where.compile_variable_list where.fetch_potential_variable_names where.find_var where.format_variable where.get_all_in_namespace where.get_def_variables where.get_includes_core where.get_namespace_core where.get_opens where.get_variables_core where.inflate where.is_in_namespace_nonsynthetic where.is_variable_name where.mk_flag where.resolve_var where.resolve_vars where.resolve_vars_aux where.select_for_which where.sort_variable_list where.strip_namespace where.strip_pi_binders where.strip_pi_binders_aux where.trace_end where.trace_includes where.trace_namespace where.trace_nl where.trace_opens where.trace_variables where.trace_where where.where_cmd with_bot with_one with_one.lift with_one.map with_top with_top.canonically_ordered_comm_semiring with_top.coe_eq_zero with_top.coe_zero with_top.has_one with_top.top_ne_zero with_top.zero_ne_top with_zero with_zero.div with_zero.inv with_zero.lift with_zero.map with_zero.ordered_comm_monoid writer writer_t writer_t.adapt writer_t.bind writer_t.call_cc writer_t.ext writer_t.lift writer_t.listen writer_t.mk_label writer_t.monad_cont writer_t.monad_except writer_t.monad_map writer_t.pass writer_t.pure writer_t.tell wseq.bisim_o wseq.cases_on wseq.destruct_append.aux wseq.destruct_join.aux wseq.drop.aux wseq.lift_rel_o wseq.mem wseq.tail.aux wseq.think_congr zmod zmod.cast zmod.to_module' zmod.units_equiv_coprime zmodp zmodp.legendre_sym znum.abs znum.add znum.bit0 znum.bit1 znum.bitm1 znum.cmp znum.cmp_to_int znum.div znum.gcd znum.mod znum.mul znum.of_int' znum.pred znum.succ znum.transfer znum.transfer_rw znum.zneg zsqrtd.le zsqrtd.lt zsqrtd.norm