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@@ -53,3 +53,9 @@ saved_model/**/* filter=lfs diff=lfs merge=lfs -text
 *.jpg filter=lfs diff=lfs merge=lfs -text
 *.jpeg filter=lfs diff=lfs merge=lfs -text
 *.webp filter=lfs diff=lfs merge=lfs -text
+novel_premises/test.json filter=lfs diff=lfs merge=lfs -text
+novel_premises/train_formal_informal.json filter=lfs diff=lfs merge=lfs -text
+novel_premises/train.json filter=lfs diff=lfs merge=lfs -text
+novel_premises/val.json filter=lfs diff=lfs merge=lfs -text
+random/train_formal_informal.json filter=lfs diff=lfs merge=lfs -text
+random/train.json filter=lfs diff=lfs merge=lfs -text

novel_premises/test.json

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+oid sha256:6082dcb54d04990051bd4c959a434ecd2b168f937352fbdb60bd094a86867d58
+size 17025440

novel_premises/test_formal_informal_metadata.json

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+{
+    "total_valid_proofs": 2000,
+    "total_no_tactics": 705,
+    "deliminter": "**",
+    "no_tactics": [
+        "Prod.swap_bijective",
+        "MeasurableSet.exists_lt_isClosed_of_ne_top",
+        "MeasureTheory.Integrable.tendsto_set_integral_nhds_zero",
+        "Classical.not_exists_not",
+        "MeasureTheory.integral_integral_swap",
+        "Trunc.induction_on",
+        "OrderIso.essInf_apply",
+        "Set.Ioc.coe_ne_one",
+        "Set.insert_inj",
+        "MvPolynomial.rename_bind\u2081",
+        "intervalIntegral.FTCFilter.finiteAt_inner",
+        "Finset.Ico_subset_Iic_self",
+        "ZMod.neg_one_ne_one",
+        "Set.Iic_disjoint_Ici",
+        "MeasureTheory.norm_condexpL2_le",
+        "Finmap.mem_lookup_union_middle",
+        "volume_image_subtype_coe",
+        "IsUnit.stronglyMeasurable_const_smul_iff",
+        "IsometryEquiv.measurePreserving_hausdorffMeasure",
+        "MeasureTheory.SimpleFunc.exists_forall_norm_le",
+        "Std.AssocList.empty_eq",
+        "IsUnit.aemeasurable_const_smul_iff",
+        "Finset.card_erase_eq_ite",
+        "MeasureTheory.SignedMeasure.absolutelyContinuous_iff_withDensity\u1d65_rnDeriv_eq",
+        "MeasureTheory.SimpleFunc.map_preimage_singleton",
+        "Set.PairwiseDisjoint.insert",
+        "ENNReal.essSup_mul_le",
+        "ack_inj_right",
+        "Nat.lt_add_left_iff_pos",
+        "manyOneEquiv_up",
+        "MeasureTheory.tendstoInMeasure_iff_tendsto_Lp",
+        "ProbabilityTheory.kernel.coe_finset_sum",
+        "Measurable.nndist",
+        "MeasureTheory.measurePreserving_prod_div_swap",
+        "Finset.inf'_product_right",
+        "measurable_of_finite",
+        "ProbabilityTheory.kernel.integral_integral_add'",
+        "Finset.union_val",
+        "MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto_ae",
+        "Finset.Ioo_subset_Icc_self",
+        "Set.pairwiseDisjoint_sUnion",
+        "PMF.toMeasure_ofFintype_apply",
+        "Finset.ssubset_of_subset_of_ssubset",
+        "MeasurableSpace.cardinal_measurableSet_le_continuum",
+        "Std.HashMap.Imp.reinsertAux_WF",
+        "Finset.fold_disjiUnion",
+        "List.ne_nil_of_take_ne_nil",
+        "MeasureTheory.ProgMeasurable.finset_prod'",
+        "Decidable.not_forall_not",
+        "Set.piecewise_op",
+        "Monotone.IicExtend",
+        "Finset.lt_inf'_iff",
+        "SetLike.coe_injective",
+        "ae_essInf_le",
+        "MeasureTheory.Mem\u2112p.sup",
+        "ManyOneDegree.liftOn\u2082_eq",
+        "Monotone.measurable",
+        "MeasureTheory.aefinStronglyMeasurable_of_aemeasurable",
+        "ProbabilityTheory.IndepSets.iInter",
+        "MeasureTheory.Egorov.notConvergentSeqLTIndex_spec",
+        "Semiquot.isPure_iff",
+        "MeasureTheory.tendsto_lintegral_of_dominated_convergence",
+        "ContinuousOn.intervalIntegrable",
+        "Set.univ_finite_iff_nonempty_fintype",
+        "Quotient.hrecOn\u2082'_mk''",
+        "MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable'",
+        "MeasureTheory.ProbabilityMeasure.le_liminf_measure_open_of_tendsto",
+        "MeasureTheory.integral_Ioc_eq_integral_Ioo",
+        "Set.Ico.coe_ne_zero",
+        "Std.RBNode.Ordered.erase",
+        "indicator_ae_eq_restrict_compl",
+        "Finset.min_mem_image_coe",
+        "MeasureTheory.AEStronglyMeasurable.add_measure",
+        "List.take_subset",
+        "MvPolynomial.support_smul_eq",
+        "Option.join_ne_none'",
+        "MeasureTheory.lintegral_iInf",
+        "MeasureTheory.submartingale_iff_condexp_sub_nonneg",
+        "List.exists_or_eq_self_of_replaceF",
+        "Int.subNatNat_of_lt",
+        "List.disjoint_of_disjoint_cons_left",
+        "MeasureTheory.L1.norm_setToL1_le_mul_norm",
+        "measurable_limsup",
+        "Nat.sub_le_sub_iff_right",
+        "IsUnifLocDoublingMeasure.exists_measure_closedBall_le_mul",
+        "MeasureTheory.Measure.ext_of_Ici",
+        "Std.RBSet.mkRBSet_eq",
+        "Set.sigma_nonempty_iff",
+        "MeasureTheory.SimpleFunc.FinMeasSupp.iff_lintegral_lt_top",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left",
+        "Primrec.list_indexOf\u2081",
+        "Finset.insert_def",
+        "Set.RightInvOn.surjOn",
+        "Set.finset_prod_mem_finset_prod",
+        "ProbabilityTheory.iIndepSet.indep_generateFrom_le_nat",
+        "MeasureTheory.L1.SimpleFunc.integral_smul",
+        "MvPolynomial.divMonomial_add_modMonomial_single",
+        "ProbabilityTheory.cond_mul_eq_inter",
+        "List.suffix_or_suffix_of_suffix",
+        "ProbabilityTheory.iIndepSets.iIndep",
+        "Set.compl_inter_self",
+        "Set.inter_subset_ite",
+        "intervalIntegral.fderiv_integral",
+        "Int.mul_sign",
+        "Finset.set_biInter_biUnion",
+        "Finset.orderEmbOfFin_unique'",
+        "Finset.card_disjSum",
+        "List.mem_of_mem_drop",
+        "Set.mapsTo_prod_map_diagonal",
+        "Set.image_mulSingle_Icc_left",
+        "MeasureTheory.Measure.FiniteSpanningSetsIn.ext",
+        "MeasureTheory.Integrable.comp_div",
+        "Real.volume_pi_le_prod_diam",
+        "MeasureTheory.mem_disjointed_spanningSetsIndex",
+        "Set.EqOn.piecewise_ite",
+        "Set.isUnit_singleton",
+        "Finmap.mem_union",
+        "Finset.sup_himp_right",
+        "Finset.max_mem_insert_bot_image_coe",
+        "Finset.inf'_const",
+        "Rel.image_core_gc",
+        "Finset.inf'_sup_inf'",
+        "Finset.nontrivial_iff_ne_singleton",
+        "Array.SatisfiesM_mapM'",
+        "Primrec.nat_double_succ",
+        "ContinuousOn.integral_sub_linear_isLittleO_ae",
+        "MeasureTheory.pdf.integral_mul_eq_integral",
+        "MeasureTheory.withDensity\u1d65_sub'",
+        "Int.neg_lt_sub_right_of_lt_add",
+        "Int.emod_lt_of_pos",
+        "MeasureTheory.snorm'_eq_zero_iff",
+        "MeasureTheory.snorm_congr_norm_ae",
+        "Set.nontrivial_of_exists_lt",
+        "Setoid.isPartition_classes",
+        "Option.some_orElse'",
+        "MvPolynomial.map_rightInverse",
+        "Finset.piecewise_mem_Icc_of_mem_of_mem",
+        "RegularExpression.one_def",
+        "ZMod.cast_pow'",
+        "MeasurableSpace.monotone_comap",
+        "MeasureTheory.Measure.snd_map_prod_mk",
+        "Primrec.list_reverse",
+        "ManyOneEquiv.of_equiv",
+        "Set.encard_lt_top_iff",
+        "IsOpen.exists_lt_isClosed",
+        "MeasureTheory.integrableOn_finset_iUnion",
+        "Finset.sup_eq_union",
+        "TypeVec.casesCons_append1",
+        "MeasureTheory.TendstoInMeasure.congr",
+        "Int.ediv_mul_cancel",
+        "generateFrom_measurableSet_of_generatePiSystem",
+        "ProbabilityTheory.IndepSets.bUnion",
+        "MeasureTheory.integral_integral_sub'",
+        "Finset.mem_pi",
+        "Int.add_lt_add_iff_right",
+        "String.utf8GetAux_addChar_right_cancel",
+        "Vector.removeNth_insertNth",
+        "intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left",
+        "Set.singleton_eq_singleton_iff",
+        "MeasureTheory.ofReal_set_integral_one",
+        "MeasureTheory.Lp.const_mem_Lp",
+        "MeasureTheory.inducedOuterMeasure_eq",
+        "Set.union_diff_cancel_right",
+        "Finset.sdiff_ssubset",
+        "MeasureTheory.Measure.hausdorffMeasure_le_liminf_sum",
+        "String.isEmpty_iff",
+        "MeasureTheory.pdf_eq_zero_of_not_measurable",
+        "Finset.not_mem_of_max_lt",
+        "Finset.disjUnion_product",
+        "List.infix_of_mem_join",
+        "equivalence_of_manyOneEquiv",
+        "MeasureTheory.condexpInd_disjoint_union_apply",
+        "Sum.map_comp_map",
+        "ENNReal.essSup_add_le",
+        "aeSeq.measurable",
+        "Finset.aemeasurable_prod'",
+        "UnionFind.lt_rankMax'",
+        "PFun.preimage_union",
+        "MeasureTheory.Integrable.integral_condKernel",
+        "MeasureTheory.Egorov.notConvergentSeq_measurableSet",
+        "Finset.Icc_subset_Ioc_iff",
+        "MeasureTheory.Measure.le_count_apply",
+        "Std.RBNode.lowerBound?_mem_lb",
+        "PMF.toMeasure_ofMultiset_apply",
+        "ZMod.lift_comp_castAddHom",
+        "MeasureTheory.OuterMeasure.union",
+        "Int.neg_le_sub_right_of_le_add",
+        "Finset.card_product",
+        "Int.fdiv_nonneg",
+        "Std.PairingHeapImp.Heap.deleteMin_fst",
+        "ProbabilityTheory.indep_of_indep_of_le_right",
+        "RegularExpression.matches'_pow",
+        "MeasurableSpace.monotone_map",
+        "ZMod.int_cast_cast",
+        "Fin.pred_mk",
+        "Subtype.equivalence",
+        "intervalIntegral.integral_mono",
+        "Finset.eq_empty_of_ssubset_singleton",
+        "MeasureTheory.measure_add_measure_compl",
+        "Finset.powerset_injective",
+        "Finset.card_le_diff_of_interleaved",
+        "Int.dvd_iff_mod_eq_zero",
+        "Set.image3_congr'",
+        "Std.RBSet.mem_insert_of_mem",
+        "MeasureTheory.AEDisjoint.mono_ae",
+        "MvPolynomial.monomial_one_dvd_iff_modMonomial_eq_zero",
+        "Finset.pi_empty",
+        "toNat_manyOneReducible",
+        "MeasureTheory.ext_of_generate_finite",
+        "Finset.Nonempty.to_subtype",
+        "MeasureTheory.volume_pi_ball",
+        "MeasureTheory.Filtration.const_apply",
+        "PProd.forall'",
+        "MeasureTheory.OuterMeasure.map_iInf_le",
+        "MeasureTheory.dominatedFinMeasAdditive_condexpInd",
+        "Finset.singleton_mul_inter",
+        "NFA.eval_append_singleton",
+        "Quotient.choice_eq",
+        "MeasureTheory.set_integral_condexpInd",
+        "measurable_sInf",
+        "Set.subset_image_symmDiff",
+        "MeasureTheory.integrable_of_fintype",
+        "FiniteInter.finiteInterClosure_finiteInter",
+        "MeasureTheory.Adapted.stoppedProcess",
+        "intervalIntegral.intervalIntegral_pos_of_pos",
+        "Quotient.liftOn\u2082_mk",
+        "MeasureTheory.ae_le_trim_iff",
+        "MeasureTheory.integrableOn_add_measure",
+        "Finset.set_biInter_singleton",
+        "ENNReal.measurable_toReal",
+        "MeasureTheory.condexp_stopping_time_ae_eq_restrict_eq_of_countable",
+        "Set.countable_isTop",
+        "Finset.inf_id_set_eq_sInter",
+        "Nat.Coprime.gcd_both",
+        "Function.Injective.pprod_map",
+        "Measurable.measurable_comp_iff_restrict",
+        "Setoid.eqvGen_mono",
+        "String.get?_of_valid",
+        "volume_regionBetween_eq_integral",
+        "ProbabilityTheory.iIndepFun.indepFun_prod_range_succ",
+        "Primcodable.mem_range_encode",
+        "Nat.Partrec.Code.smn",
+        "intervalIntegral.integral_hasFDerivAt",
+        "MeasureTheory.Lp.simpleFunc.aemeasurable",
+        "MvPolynomial.eval_pow",
+        "MeasureTheory.measurePreserving_prod_inv_mul_swap",
+        "Set.range_diff_image",
+        "Part.mem_bind_iff",
+        "Finset.sdiff_sdiff_left'",
+        "Set.ordConnected_uIoc",
+        "Holor.cprank_upper_bound",
+        "MvPolynomial.support_sum",
+        "Complex.volume_preserving_equiv_real_prod",
+        "MeasureTheory.Lp.simpleFunc.boundedSMul",
+        "Turing.ToPartrec.stepNormal_eval",
+        "MeasureTheory.continuous_condexpIndL1",
+        "Finset.univ_mul_univ",
+        "Finmap.lookup_union_left",
+        "Int.le_sub_one_of_lt",
+        "List.subset_append_of_subset_right",
+        "Set.pairwise_eq_iff_exists_eq",
+        "Multiset.map_finset_sup",
+        "MeasureTheory.volume_preserving_piFinSuccAboveEquiv",
+        "MeasureTheory.lintegral_abs_det_fderiv_eq_addHaar_image",
+        "Set.Countable.insert",
+        "essSup_const",
+        "ack_inj_left",
+        "Fin.coe_clamp",
+        "Finset.filter_congr",
+        "intervalIntegral.integral_comp_mul_deriv",
+        "MeasureTheory.setLaverage_lt_top",
+        "MeasurableSpace.mkOfClosure_sets",
+        "MeasureTheory.L1.norm_Integral_le_one",
+        "MeasureTheory.setIntegral_setAverage_sub",
+        "Function.Injective.comp_injOn",
+        "Set.ordConnected_iInter",
+        "intervalIntegral.continuous_of_dominated_interval",
+        "Std.RBSet.forIn_eq_forIn_toList",
+        "MeasureTheory.BorelCantelli.integrable_process",
+        "Finset.image\u2082_image_left_anticomm",
+        "MvPolynomial.mul_X_divMonomial",
+        "not_and_self_iff",
+        "MvPolynomial.aeval_eq_zero",
+        "equivalence_of_oneOneEquiv",
+        "MvPolynomial.X_mul_divMonomial",
+        "MeasureTheory.FinMeasAdditive.smul_measure_iff",
+        "ProbabilityTheory.variance_smul",
+        "MeasureTheory.integral_inter_add_diff",
+        "ZNum.cast_zero'",
+        "Turing.PartrecToTM2.tr_ret_halt",
+        "PEquiv.single_trans_single_of_ne",
+        "ProbabilityTheory.iIndepFun.condexp_natural_ae_eq_of_lt",
+        "ne_self_iff_false",
+        "set_integral_re_add_im",
+        "Int.lt_add_of_neg_lt_sub_right",
+        "Turing.Tape.exists_mk'",
+        "Finmap.lookup_union_right",
+        "vectorEx_iff_exists",
+        "OneOneReducible.disjoin_left",
+        "MeasureTheory.meas_le_ae_eq_meas_lt",
+        "ProbabilityTheory.measure_zero_or_one_of_measurableSet_limsup_atBot",
+        "vectorAll_iff_forall",
+        "ProbabilityTheory.Indep.symm",
+        "QuotientGroup.measurable_coe",
+        "ProbabilityTheory.indep_iSup_of_antitone",
+        "ComputablePred.halting_problem_not_re",
+        "Finset.mem_uIcc_of_le",
+        "MeasureTheory.hasFiniteIntegral_neg_iff",
+        "MvPolynomial.aeval_X_left_apply",
+        "MvPolynomial.aevalTower_toAlgHom",
+        "MeasureTheory.mem\u2112p_neg_iff",
+        "MeasureTheory.lowerCrossingTime_stabilize'",
+        "Finset.inf_mem",
+        "MeasureTheory.integral_integral_sub",
+        "PMF.toMeasure_ofFinset_apply",
+        "DomMulAct.smul_Lp_ae_eq",
+        "MeasureTheory.Measure.bind_zero_right'",
+        "MeasureTheory.isMulLeftInvariant_map_smul",
+        "MeasureTheory.isMulRightInvariant_map_smul",
+        "DFA.eval_append_singleton",
+        "Subtype.coind_bijective",
+        "MeasureTheory.L1.setToL1_lipschitz",
+        "PosNum.cast_pos",
+        "Finset.insert_inj",
+        "AEMeasurable.comp_quasiMeasurePreserving",
+        "Std.RBSet.mem_of_mem_toList",
+        "ZMod.nat_cast_val",
+        "TypeVec.drop_append1'",
+        "MeasureTheory.tendstoUniformlyOn_of_ae_tendsto",
+        "Int.fmod_nonneg",
+        "Quot.liftOn\u2082_mk",
+        "ComputablePred.halting_problem",
+        "stronglyMeasurable_const_smul_iff\u2080",
+        "Prod.map_id",
+        "ZMod.lift_comp_coe",
+        "Nat.mul_lt_mul'",
+        "Finset.self_mem_range_succ",
+        "Nat.Coprime.pow",
+        "MeasureTheory.Measure.ofMeasurable_apply",
+        "Fin.subNat_addNat",
+        "MeasureTheory.NullMeasurableSet.insert",
+        "MvPolynomial.coeff_sum",
+        "Set.Ioo_infinite",
+        "Set.dual_ordConnected",
+        "ProbabilityTheory.kernel.integral_integral_sub",
+        "MeasureTheory.volume_pi_closedBall",
+        "MvPolynomial.eval\u2082Hom_bind\u2082",
+        "Int.div_mul_cancel",
+        "MeasureTheory.mem_spanningSetsIndex",
+        "MeasureTheory.Integrable.lintegral_lt_top",
+        "ManyOneDegree.liftOn_eq",
+        "MeasureTheory.average_pair",
+        "PFun.preimage_inter",
+        "Measurable.sumMap",
+        "Finset.uIcc_of_not_ge",
+        "Ctop.coe_mk",
+        "Finset.set_biInter_inter",
+        "Std.RBSet.empty_eq",
+        "MeasureTheory.VectorMeasure.restrict_le_restrict_iff",
+        "String.get!_eq_get",
+        "Computability.unary_decode_encode_nat",
+        "MeasureTheory.Lp.tendsto_Lp_of_tendsto_\u2112p",
+        "measurable_subtype_coe",
+        "Sum.getRight_inr",
+        "Set.restrict_piecewise",
+        "AEMeasurable.indicator\u2080",
+        "Primrec.list_indexOf",
+        "MeasureTheory.aestronglyMeasurable'_condexpInd",
+        "MeasureTheory.Measure.lintegral_bind",
+        "ProbabilityTheory.indepSet_iff_measure_inter_eq_mul",
+        "Finset.insert_inj_on",
+        "MeasurableSet.nhdsWithin_isMeasurablyGenerated",
+        "MeasureTheory.setLintegral_setLaverage",
+        "Array.toArray_data",
+        "Set.image_add_const_Ioo",
+        "eq_borel_upgradeStandardBorel",
+        "Fin.castSucc_ne_zero_iff",
+        "Finset.inter_left_idem",
+        "torusMap_zero_radius",
+        "Fin.succ_succ_ne_one",
+        "PosNum.div'_to_nat",
+        "Finset.ssubset_of_ssubset_of_subset",
+        "PEquiv.injective_of_forall_isSome",
+        "Finset.comp_inf_eq_inf_comp_of_is_total",
+        "Fin.eq_succ_of_ne_zero",
+        "Semiquot.mem_pure'",
+        "Fin.val_inj",
+        "Finset.map_inl_disjUnion_map_inr",
+        "intervalIntegral.integral_interval_sub_left",
+        "List.sublist_nil",
+        "MeasureTheory.Measure.join_dirac",
+        "Quotient.liftOn\u2082'_mk",
+        "Set.smul_set_univ\u2080",
+        "MvPolynomial.monomial_finsupp_sum_index",
+        "MeasureTheory.integrable_smul_iff",
+        "MeasurableSet.compl",
+        "MvPolynomial.X_injective",
+        "Set.disjoint_compl_right_iff_subset",
+        "Finset.union_mul_inter_subset",
+        "Set.Finite.countable",
+        "List.reverse_sublist",
+        "Set.image_eq_preimage_of_inverse",
+        "Set.Nonempty.inv",
+        "ProbabilityTheory.iIndepFun.mul",
+        "Set.image_mulSingle_uIcc_right",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left'",
+        "MeasureTheory.L1.norm_setToL1_le_mul_norm'",
+        "List.pairwiseDisjoint_iff_coe_toFinset_pairwise_disjoint",
+        "MeasureTheory.le_sub_of_le_upcrossingsBefore",
+        "ProbabilityTheory.indep_iff_forall_indepSet",
+        "MvPolynomial.algHom_ext",
+        "String.lt_next'",
+        "PosNum.mod'_to_nat",
+        "List.forM_cons'",
+        "measurableSet_Ico",
+        "Finset.strictAnti_iff'",
+        "MeasureTheory.L1.SimpleFunc.setToL1S_smul_left",
+        "MeasureTheory.AEEqFun.compQuasiMeasurePreserving_mk",
+        "Finset.min_mem_insert_top_image_coe",
+        "Quotient.map\u2082_mk",
+        "Function.Injective.subsingleton_image_iff",
+        "Monotone.intervalIntegrable",
+        "Finset.inf_himp_right",
+        "Finset.antitone_iff'",
+        "Std.RBSet.single_toList",
+        "MeasureTheory.inducedOuterMeasure_eq'",
+        "MeasureTheory.Measure.FiniteAtFilter.filter_mono_ae",
+        "Finset.sort_empty",
+        "Set.subset_image_union",
+        "SatisfiesM.seqLeft",
+        "List.take_length",
+        "Std.RBSet.size_eq",
+        "Set.MulAntidiagonal.finite_of_isWf",
+        "Quot.lift\u2082_mk",
+        "IsUnit.measurable_const_smul_iff",
+        "Set.IciExtend_self",
+        "isPiSystem_generatePiSystem",
+        "Std.RBSet.mem_iff_find?",
+        "Finset.powersetCard_card_add",
+        "Bundle.TotalSpace.mk_injective",
+        "MeasureTheory.snormEssSup_trim",
+        "Turing.PartrecToTM2.tr_push",
+        "MeasurableSet.exists_measurable_proj",
+        "MeasureTheory.setLaverage_one",
+        "Finset.sdiff_union_inter",
+        "MeasureTheory.setToFun_mono_left",
+        "MeasureTheory.submartingale_iff_expected_stoppedValue_mono",
+        "ProbabilityTheory.indepSet_empty_left",
+        "Antitone.measurable",
+        "Finset.inter_mul_singleton",
+        "AEMeasurable.prod_mk",
+        "Set.Finite.nullMeasurableSet_sUnion",
+        "MeasureTheory.Lp.norm_eq_zero_iff",
+        "ContinuousLinearMap.norm_compLp_le",
+        "Turing.PointedMap.map_pt",
+        "MeasureTheory.L1.SimpleFunc.setToL1S_smul_left'",
+        "MeasureTheory.leastGE_mono",
+        "Set.nontrivial_mono",
+        "Set.iUnion_univ_pi_of_monotone",
+        "Set.nontrivial_univ_iff",
+        "essInf_const_top",
+        "Finset.inter_val",
+        "Std.BinomialHeap.Imp.Heap.WF.merge",
+        "StronglyMeasurableAtFilter.eventually",
+        "Finset.inf'_union",
+        "LipschitzWith.continuous_compLp",
+        "Option.isNone_iff_eq_none",
+        "Measurable.congr_ae",
+        "Finset.max'_eq_sup'",
+        "comap_subtype_coe_apply",
+        "IndexedPartition.index_out'",
+        "MeasureTheory.measurableSet_filtrationOfSet'",
+        "MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos'",
+        "MvPolynomial.eval\u2082_zero'_apply",
+        "measurableSet_of_continuousAt",
+        "Nat.rfind_zero_none",
+        "Set.Infinite.not_bddBelow",
+        "Int.mod_eq_zero_of_dvd",
+        "Set.ite_diff_self",
+        "MeasureTheory.Lp.simpleFunc.denseRange",
+        "Semiquot.eq_mk_of_mem",
+        "MvPolynomial.mul_X_modMonomial",
+        "Finset.inf_product_right",
+        "MeasureTheory.volume_preserving_finTwoArrow",
+        "MeasureTheory.SimpleFunc.mem\u2112p_iff",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left",
+        "Set.Finite.toFinset_smul_set",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_measure",
+        "MeasureTheory.locallyIntegrable_finset_sum'",
+        "MeasureTheory.limsup_measure_le_of_le_liminf_measure_compl",
+        "Multiset.toFinset_eq_empty",
+        "Set.image_add_const_Icc",
+        "Set.mem_ite_univ_left",
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+        "Finset.not_mem_erase",
+        "Set.Iic_add_bij",
+        "Nat.lt_add_right_iff_pos",
+        "MeasureTheory.VectorMeasure.MutuallySingular.neg_right_iff",
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+        "Finset.disj_sum_strictMono_right",
+        "MvPolynomial.induction_on",
+        "ENNReal.measurable_of_measurable_nnreal_prod",
+        "Rat.normalize.den_nz",
+        "Set.mapsTo_inter",
+        "MeasureTheory.SimpleFunc.FinMeasSupp.of_map",
+        "Vector.prod_mul_prod_eq_prod_zipWith",
+        "Finset.Ioo_subset_Ici_self",
+        "ProbabilityTheory.truncation_nonneg",
+        "Set.image_mulSingle_Ico_left",
+        "ComputablePred.halting_problem_re",
+        "MvPolynomial.aevalTower_comp_toAlgHom",
+        "ProbabilityTheory.kernel.integral_integral_add",
+        "Set.image_compl_eq",
+        "Nat.Partrec'.idv",
+        "Finset.set_biUnion_finset_image",
+        "UnitAddCircle.lintegral_preimage",
+        "stronglyMeasurable_of_restrict_of_restrict_compl",
+        "OneOneEquiv.of_equiv",
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+        "Std.RBNode.Ordered.zoom'",
+        "MeasureTheory.NullMeasurableSet.compl_toMeasurable_compl_ae_eq",
+        "Vector.mapAccumr_eq_map_of_unused_state",
+        "MeasureTheory.snormEssSup_map_measure",
+        "MeasureTheory.SimpleFunc.monotone_eapprox",
+        "Finset.sort_singleton",
+        "MvPolynomial.zero_divMonomial",
+        "Finset.inf_singleton",
+        "Computability.inclusionBool\u0393'_injective",
+        "Set.nontrivial_of_pair_subset",
+        "Finset.smul_finset_subset_iff\u2080",
+        "MeasureTheory.ae_eq_trim_iff_of_aeStronglyMeasurable'",
+        "MeasureTheory.abs_toReal_measure_sub_le_measure_symmDiff",
+        "MvPolynomial.eval_neg",
+        "ProbabilityTheory.cond_cond_eq_cond_inter",
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+        "Basis.parallelepiped_map",
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+        "List.mem_of_mem_eraseP",
+        "intervalIntegral.deriv_integral_left",
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+        "Int.not_prime_of_int_mul",
+        "MeasureTheory.measure_spanningSets_lt_top",
+        "MeasureTheory.aefinStronglyMeasurable_zero",
+        "Turing.Tape.mk'_right",
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+        "Int.div_def'",
+        "MeasureTheory.Measure.map_div_left_ae",
+        "Set.Ico.infinite",
+        "Set.monotone_powerset",
+        "Finset.min'_lt_max'",
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+        "Turing.Tape.mk'_left",
+        "Nat.mul_ne_zero",
+        "Set.op_smul_set_mul_eq_mul_smul_set",
+        "MeasureTheory.finStronglyMeasurable_iff_measurable",
+        "Finset.image_image\u2082_right_comm",
+        "MeasureTheory.OuterMeasure.trim_smul",
+        "Set.ncard_strictMono",
+        "Computability.encodePosNum_nonempty",
+        "integral_ofReal",
+        "MeasureTheory.ae_mem_limsup_atTop_iff",
+        "PEquiv.trans_assoc",
+        "Int.mod_mul_left_mod",
+        "ProbabilityTheory.indep_limsup_self",
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+        "Primrec.ulower_up",
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+        "Set.forall_sigma_iff",
+        "MeasureTheory.NullMeasurable.measurable_of_complete",
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+        "MeasureTheory.measure_lt_top_of_isCompact_of_isMulLeftInvariant'",
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+        "Array.foldr_eq_foldr_data",
+        "BoundedContinuousFunction.toLp_injective",
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+        "Finset.inf_sigma",
+        "Set.Finite.nullMeasurableSet_biInter",
+        "MeasureTheory.Lp.coe_LpSubmodule",
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+        "Set.nonempty_of_ssubset",
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+        "Finset.card_dvd_card_mul_left",
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+        "Set.inclusion_comp_inclusion",
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+        "\u03b5NFA.\u03b5Closure_univ",
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+        "MeasureTheory.integrable_zero_measure",
+        "Finset.isUnit_singleton",
+        "MeasureTheory.Measure.sum_cond",
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+        "MeasureTheory.Lp.coeFn_add",
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+        "ProbabilityTheory.withDensity_preCdf",
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+        "ProbabilityTheory.iIndepFun.indepFun_finset",
+        "Turing.PartrecToTM2.codeSupp_supports",
+        "Finset.coe_coeMonoidHom",
+        "Finset.nonempty_product",
+        "Set.card_image_of_injective",
+        "Set.exists_mem_not_mem_of_ncard_lt_ncard",
+        "Int.lt_add_one_iff",
+        "Complex.measurable_log",
+        "Set.Finite.toFinset_one",
+        "MeasureTheory.AEEqFun.pair_mk_mk",
+        "MeasureTheory.Measure.map_mul_right_inv_eq_self",
+        "Part.getOrElse_some",
+        "MvPolynomial.bind\u2081_rename",
+        "MeasureTheory.VectorMeasure.measurable_of_not_restrict_le_zero",
+        "MeasureTheory.SimpleFunc.extend_comp_eq",
+        "Primrec.ulower_down",
+        "Finset.inf'_mem",
+        "Quotient.out_injective",
+        "Finset.inf_coe",
+        "MeasureTheory.Integrable.prod_mk",
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+        "ManyOneDegree.of_le_of",
+        "MvPolynomial.totalDegree_smul_le",
+        "MeasureTheory.Measure.mkMetric_toOuterMeasure",
+        "ZMod.cast_one'",
+        "MeasureTheory.Measure.ae_ae_eq_of_ae_eq_uncurry",
+        "Set.ncard_ne_zero_of_mem",
+        "MeasureTheory.lintegral_biUnion_finset",
+        "Set.nonempty_of_ssubset'",
+        "Finset.inr_mem_disjSum",
+        "MeasureTheory.Measure.volume_subtype_coe_eq_zero_of_volume_eq_zero",
+        "Finset.piecewise_idem_right",
+        "BoundedContinuousFunction.range_toLp",
+        "Int.isUnit_eq_or_eq_neg",
+        "Set.Finite.toFinset_eq_empty",
+        "Finset.card_disjSups_le",
+        "Finset.erase_ssubset_insert",
+        "MvPolynomial.join\u2081_rename",
+        "MeasureTheory.IsStoppingTime.measurable_of_le",
+        "Multiset.coe_nodupKeys",
+        "MeasureTheory.integrable_stoppedValue",
+        "StieltjesFunction.id_leftLim",
+        "Finset.uIcc_subset_uIcc_iff_le'",
+        "Quotient.map\u2082'_mk''",
+        "AEMeasurable.ae_inf_principal_eq_mk",
+        "Set.finite_range_ite",
+        "MeasureTheory.measure_eq_top_of_setLintegral_ne_top",
+        "MeasureTheory.Mem\u2112p.add",
+        "ProbabilityTheory.condexp_ae_eq_integral_condDistrib",
+        "Nat.div_gcd_pos_of_pos_left",
+        "Continuous.ae_eq_iff_eq",
+        "Ctop.Realizer.ofEquiv_\u03c3",
+        "Int.zero_shiftRight",
+        "String.posOfAux_eq",
+        "MvPolynomial.aeval_bind\u2082",
+        "Finset.ssubset_cons",
+        "MeasureTheory.IsFundamentalDomain.restrict_restrict",
+        "Computability.decode_encodeBool",
+        "Finset.coe_orderIsoOfFin_apply",
+        "Int.bit_decomp",
+        "Primrec.list_getI",
+        "Std.RBSet.toList_sorted",
+        "MeasureTheory.Measure.mkMetric'_toOuterMeasure",
+        "intervalIntegral.fderiv_integral_of_tendsto_ae",
+        "MeasureTheory.volume_preserving_funUnique",
+        "Finset.uIcc_of_not_le",
+        "TypeVec.casesNil_append1",
+        "Sum.lex_wf",
+        "Set.encard_le_encard_diff_add_encard",
+        "MeasureTheory.snorm_indicator_const",
+        "MeasureTheory.hausdorffMeasure_smul",
+        "MeasureTheory.Lp.coeFn_compMeasurePreserving",
+        "ack_pair_lt",
+        "Finset.inl_mem_disjSum",
+        "Finset.inter_mul_union_subset",
+        "Set.univ_pi_eq_empty",
+        "Finset.aestronglyMeasurable_prod'",
+        "iUnion_Iic_eq_Iic_iSup",
+        "Function.update_comp_eq_of_not_mem_range",
+        "MeasureTheory.OuterMeasure.trim_add",
+        "Finset.filter_true_of_mem",
+        "MeasureTheory.AEDisjoint.union_right",
+        "Int.gcd_greatest",
+        "Int.sign_mul_natAbs"
+    ]
+}

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+        "AddAction.zmultiplesQuotientStabilizerEquiv_symm_apply",
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+        "MeasureTheory.AECover.lintegral_tendsto_of_countably_generated",
+        "Finset.set_biInter_finset_image",
+        "ProbabilityTheory.indep_iSup_of_disjoint",
+        "indicator_ae_eq_of_ae_eq_set",
+        "intervalIntegrable_const",
+        "MeasureTheory.volume_measurePreserving_piCongrLeft",
+        "Set.image_swap_eq_preimage_swap",
+        "intervalIntegral.integral_zero_ae",
+        "MeasurableEmbedding.comap_preimage",
+        "List.findIdx_get?_eq_get_of_exists",
+        "List.drop_subset",
+        "Filter.Tendsto.eventually_intervalIntegrable",
+        "Finset.disjSum_mono",
+        "measurable_const_smul_iff\u2080",
+        "MeasureTheory.Measure.eqOn_Icc_of_ae_eq",
+        "Primrec.list_headI",
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+        "String.toString_toSubstring",
+        "Set.piecewise_mem_Icc'",
+        "MeasureTheory.map_div_right_ae",
+        "List.pairwise_disjoint_of_coe_toFinset_pairwiseDisjoint",
+        "MeasureTheory.AECover.inter_restrict",
+        "MeasureTheory.AEDisjoint.of_null_left",
+        "Set.empty_ssubset_singleton",
+        "List.count_eq_zero",
+        "PFun.core_inter",
+        "intervalIntegral.integral_ofReal",
+        "MeasureTheory.inducedOuterMeasure_eq_extend'",
+        "Finset.fold_sup_bot_singleton",
+        "Finset.inf_top",
+        "List.mem_erase_of_ne",
+        "Std.TransCmp.lt_trans",
+        "Finset.filter_union_filter_neg_eq",
+        "Set.inter_symmDiff_distrib_right",
+        "Part.induction_on",
+        "Finset.mem_inter",
+        "MvPolynomial.aevalTower_comp_C",
+        "MeasureTheory.L1.setToL1_eq_setToL1'",
+        "Finset.subset_smul_finset_iff\u2080",
+        "MvPolynomial.pderiv_eq_zero_of_not_mem_vars",
+        "Part.mem_coe",
+        "Classical.not_forall",
+        "Finset.sym_singleton",
+        "intervalIntegral.integrableOn_deriv_of_nonneg",
+        "Finmap.lookup_erase_ne",
+        "Set.Iio_add_bij",
+        "AEMeasurable.isGLB",
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+        "Set.Finite.disjoint_toFinset",
+        "Finset.inf'_congr",
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+        "Set.mem_ite_univ_right",
+        "PosNum.of_to_nat",
+        "MvPolynomial.degrees_C",
+        "Primrec.nat_add",
+        "Sum.getLeft_inl",
+        "MeasureTheory.Egorov.notConvergentSeq_antitone",
+        "Finset.inf_erase_top",
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+        "Set.IicExtend_self",
+        "Int.mul_self_lt_mul_self",
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+        "MeasureTheory.volume_measurePreserving_sumPiEquivProdPi",
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+        "Int.ModEq.mul",
+        "MeasureTheory.measurableSet_of_null",
+        "Nat.exists_mul_emod_eq_one_of_coprime",
+        "Int.le_add_of_neg_le_sub_right",
+        "tendsto_measure_cthickening_of_isCompact",
+        "IsUnifLocDoublingMeasure.exists_measure_closedBall_le_mul'",
+        "deriv_circleMap_ne_zero",
+        "Finset.sym_fill_mem",
+        "MeasureTheory.finStronglyMeasurable_iff_stronglyMeasurable_and_exists_set_sigmaFinite",
+        "intervalIntegral.integral_congr_ae",
+        "MeasureTheory.upperCrossingTime_lt_succ",
+        "MeasureTheory.martingale_of_set_integral_eq_succ",
+        "Option.map\u2082_curry",
+        "MeasureTheory.martingale_nat",
+        "MeasureTheory.integrable_of_intervalIntegral_norm_tendsto",
+        "Finset.mul_subset_iff_left",
+        "MeasureTheory.Lp.coeFn_posPart",
+        "MeasCat.coe_of",
+        "Set.Finite.toFinset_eq_univ",
+        "Finset.disjSum_empty",
+        "Int.lt_add_of_neg_lt_sub_left",
+        "PMF.support_countable",
+        "Finset.empty_subset",
+        "Quotient.out_inj",
+        "MeasureTheory.stronglyMeasurable_of_isEmpty",
+        "Finset.mem_sort",
+        "MvPolynomial.pderiv_C",
+        "MeasureTheory.ae_dirac_iff",
+        "Turing.PartrecToTM2.trNat_default",
+        "measurable_of_measurable_on_compl_finite",
+        "MeasureTheory.integral_Ico_eq_integral_Ioo",
+        "MeasureTheory.hausdorffMeasure_measurePreserving_piFinTwo",
+        "MeasurableSet.induction_on_open",
+        "Turing.PartrecToTM2.tr_read",
+        "Fin.lastCases_last",
+        "MeasureTheory.OuterMeasure.restrict_le_self",
+        "Setoid.mkClasses_classes",
+        "Finset.sort_sorted_lt",
+        "Turing.TM0.map_init",
+        "Set.exists_seq_cover_iff_countable",
+        "ProbabilityTheory.condexp_ae_eq_integral_condDistrib'",
+        "Multiset.coe_keys",
+        "TypeVec.append1_cases_append1",
+        "Set.countable_isBot",
+        "Set.ordConnected_iff_uIcc_subset_left",
+        "Setoid.IsPartition.pairwiseDisjoint",
+        "Int.le_add_of_neg_le_sub_left",
+        "MeasureTheory.integral_Iic_eq_integral_Iio",
+        "MeasureTheory.Measure.sigmaFinite_of_le",
+        "MeasureTheory.Measure.ae_sum_iff",
+        "Set.toFinset_smul_set",
+        "MvPolynomial.modMonomial_add_divMonomial_single",
+        "MeasurableSet.exists_lt_isCompact_of_ne_top",
+        "Finmap.mem_insert",
+        "MeasureTheory.nullMeasurableSet_insert",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left",
+        "OneOneReducible.of_equiv",
+        "Vector.not_mem_zero",
+        "String.revPosOfAux_eq",
+        "Int.shiftLeft_sub",
+        "Function.insert_injOn",
+        "MvPolynomial.induction_on''",
+        "Finset.card_image_iff",
+        "Set.Finite.iSup_biInf_of_antitone",
+        "Finpartition.isPartition_parts",
+        "MeasureTheory.laverage_one",
+        "MeasureTheory.integrable_stoppedProcess",
+        "Int.lt.intro",
+        "aestronglyMeasurable_const_smul_iff\u2080",
+        "Set.subset_union_compl_iff_inter_subset",
+        "CFilter.coe_mk",
+        "ProbabilityTheory.measure_zero_or_one_of_measurableSet_limsup_atTop",
+        "MeasureTheory.Lp.norm_zero",
+        "Set.infinite_of_not_bddBelow",
+        "Int.bit1_ne_bit0",
+        "Finset.monotone_filter_right",
+        "MeasureTheory.Measure.restrict_restrict'",
+        "Nat.lt_min",
+        "MeasureTheory.ProbabilityMeasure.toFiniteMeasure_embedding",
+        "Part.bind_defined",
+        "Finsupp.mem_pi",
+        "MeasureTheory.Measure.IsFiniteMeasure.IicSnd",
+        "Finset.induction_on_pi_min",
+        "MeasureTheory.Lp.mem_boundedContinuousFunction_iff",
+        "MeasureTheory.integrable_toReal_of_lintegral_ne_top",
+        "Std.PairingHeapImp.Heap.WF.combine",
+        "Finset.inf_attach",
+        "Set.PairwiseDisjoint.insert_of_not_mem",
+        "ProbabilityTheory.indep_of_indep_of_le_left",
+        "Rel.preimage_def",
+        "List.exists_of_modifyNthTail",
+        "Set.image_mulSingle_Ioo_right",
+        "MvPolynomial.mapAlgHom_coe_ringHom",
+        "sign_pow",
+        "torusIntegral_const_mul",
+        "intervalIntegral.integral_hasDerivAt_left",
+        "Finset.card_erase_lt_of_mem",
+        "Nat.le_of_mod_lt",
+        "Pairwise.subset_of_biUnion_subset_biUnion",
+        "AEMeasurable.add_measure",
+        "Set.countable_univ_iff",
+        "IsUnit.aestronglyMeasurable_const_smul_iff",
+        "Sum.liftRel_subrelation_lex",
+        "generatePiSystem_eq",
+        "Finset.disjSups_subset_iff",
+        "Int.sign_coe_nat_of_nonzero",
+        "MvPolynomial.aeval_eq_constantCoeff_of_vars",
+        "List.tail!_cons",
+        "circleMap_ne_mem_ball",
+        "PMF.toMeasure_pure_apply",
+        "Finset.card_erase_add_one",
+        "Finset.mulAntidiagonal_mono_left",
+        "Finset.piecewise_idem_left",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left'",
+        "MeasureTheory.Adapted.progMeasurable_of_continuous",
+        "PEquiv.single_trans_of_eq_none",
+        "Finset.sup_himp_left",
+        "MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv",
+        "MeasureTheory.pdf.quasiMeasurePreserving_hasPDF'",
+        "MvPolynomial.modMonomial_add_divMonomial",
+        "MeasureTheory.measurePreserving_prod_div",
+        "Computability.FinEncoding.card_le_aleph0",
+        "MeasureTheory.measurePreserving_prod_inv_mul",
+        "List.count_replicate_self",
+        "Set.image_mulSingle_Ico_right",
+        "MvPolynomial.aeval_bind\u2081",
+        "MeasureTheory.le_measure_liminf_of_limsup_measure_compl_le",
+        "MeasurableSet.image_inclusion",
+        "Turing.PartrecToTM2.trNat_natEnd",
+        "ProbabilityTheory.aestronglyMeasurable'_integral_condDistrib",
+        "ack_strictMono_left",
+        "MeasureTheory.Measure.count_eq_zero_iff'",
+        "Fin.ofNat'_zero_val",
+        "Std.RBSet.mem_toList_unique",
+        "MvPolynomial.derivation_eq_of_forall_mem_vars",
+        "Primrec.pred",
+        "MeasureTheory.L1.SimpleFunc.setToL1S_add_left",
+        "Finset.card_le_card_sdiff_add_card",
+        "Set.image_mulSingle_Icc_right",
+        "intervalIntegral.derivWithin_integral_left",
+        "Vector.mapAccumr\u2082_eq_map\u2082_of_unused_state",
+        "List.exists_of_set'",
+        "MeasureTheory.Measure.NullMeasurableSet.subtype_coe",
+        "Std.AssocList.erase_toList",
+        "Option.orElse_eq_none'",
+        "Nat.max_eq_max",
+        "Std.RBNode.lowerBound?_le",
+        "Finset.sup_inf",
+        "MeasureTheory.isClosed_aeStronglyMeasurable'",
+        "Set.insert_union_distrib",
+        "Set.image2_vsub",
+        "StrictMono.strictMonoOn_IccExtend",
+        "Part.mem_mk_iff",
+        "iff_true_right",
+        "Setoid.eq_of_mem_eqv_class",
+        "Int.toNat_sub_toNat_neg",
+        "MeasureTheory.condexpInd_smul'",
+        "MeasureTheory.set_lintegral_lt_top_of_isCompact",
+        "Int.succ_neg_nat_succ",
+        "MeasureTheory.Lp.continuous_posPart",
+        "Int.mul_self_le_mul_self",
+        "Turing.reaches_total",
+        "Finset.disjiUnion_map_sigma_mk",
+        "Nat.div_gcd_pos_of_pos_right",
+        "MeasureTheory.aecover_Iio_of_Iic",
+        "Fin.exists_fin_two",
+        "ProbabilityTheory.IndepSets.inter",
+        "String.revPosOf_eq",
+        "Finset.set_biInter_insert_update",
+        "MeasureTheory.volume_preserving_pi_empty",
+        "Finset.inf_of_mem",
+        "Set.map_eq_of_subset",
+        "MeasureTheory.OuterMeasure.ofFunction_eq_sSup",
+        "Set.finite_preimage_inl_and_inr",
+        "ProbabilityTheory.IndepSets.indepSet_of_mem",
+        "Set.image_add_const_Ioc",
+        "Turing.PartrecToTM2.tr_pred",
+        "MeasureTheory.ProbabilityMeasure.tendsto_nhds_iff_toFiniteMeasure_tendsto_nhds",
+        "MeasureTheory.Lp.coeFn_abs",
+        "Int.mod_mul_right_mod",
+        "PFun.lift_injective",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_const",
+        "Int.sub_one_lt_of_le",
+        "MeasureTheory.uniformIntegrable_subsingleton",
+        "MeasureTheory.integral_integral_add",
+        "List.ne_nil_of_drop_ne_nil",
+        "MeasureTheory.VectorMeasure.of_iUnion_nonpos",
+        "Finset.uIcc_subset_uIcc_iff_le",
+        "Part.eq_get_iff_mem",
+        "MeasureTheory.set_lintegral_mono'",
+        "ZMod.addOrderOf_one",
+        "Set.Ioo.infinite",
+        "Std.RBSet.mem_congr",
+        "ProbabilityTheory.iIndepFun.indepFun_prod",
+        "Measurable.measurable_comp_iff_of_surjective",
+        "Finset.inf_eq_sInf_image",
+        "Finset.mem_sdiff",
+        "Finset.set_biInter_option_toFinset",
+        "MvPolynomial.eval_mem",
+        "List.toFinset_surjective",
+        "MvPolynomial.renameEquiv_refl",
+        "MeasureTheory.Measure.isHaarMeasure_of_isCompact_nonempty_interior",
+        "Set.Ioc.infinite",
+        "Finset.min'_lt_of_mem_erase_min'",
+        "Finset.op_smul_finset_mul_eq_mul_smul_finset",
+        "Int.sign_eq_one_iff_pos",
+        "Set.inclusion_eq_id",
+        "MeasureTheory.Measure.integral_comp_div",
+        "Set.compl_image_set_of",
+        "MeasureTheory.ProbabilityMeasure.tendsto_measure_of_null_frontier_of_tendsto'",
+        "Std.HashMap.Imp.WF_iff",
+        "OneOneReducible.disjoin_right",
+        "ContinuousAt.stronglyMeasurableAtFilter",
+        "MvPolynomial.is_id",
+        "MvPolynomial.aevalTower_comp_algebraMap",
+        "MeasureTheory.Measure.join_map_dirac",
+        "Filter.Realizer.tendsto_iff",
+        "String.get'_eq",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left'",
+        "Std.AssocList.findEntry?_eq",
+        "MeasureTheory.Measure.countable_meas_level_set_pos",
+        "MeasureTheory.Mem\u2112p.ofReal",
+        "Nat.strongRecOn_eq",
+        "ZMod.ringHom_rightInverse",
+        "Subtype.equiv_iff",
+        "strictAntiOn_Ici_of_lt_pred",
+        "Set.mem_image_elim_on",
+        "String.utf8Len_reverse",
+        "MeasureTheory.progMeasurable_of_tendsto",
+        "ForInStep.bind_done",
+        "MeasureTheory.inducedOuterMeasure_eq_extend",
+        "Set.InjOn.cancel_left",
+        "IsUnit.integrable_smul_iff",
+        "measure_closure_of_null_frontier",
+        "Finset.insert_sdiff_insert",
+        "List.mem_singleton",
+        "Set.inter_diff_distrib_right",
+        "Turing.BlankRel.refl",
+        "Finset.mul_subset_iff_right",
+        "UFModel.Models.size_eq",
+        "MeasureTheory.VectorMeasure.measurable_of_not_zero_le_restrict",
+        "MvPolynomial.divMonomial_monomial",
+        "MeasureTheory.Lp.coeFn_sub",
+        "MeasureTheory.weightedSMul_union",
+        "MeasureTheory.set_integral_congr\u2080",
+        "ProbabilityTheory.indep_iSup_of_monotone",
+        "MeasureTheory.adapted_martingalePart",
+        "Finmap.union_toFinmap",
+        "Finset.sup_singleton",
+        "Finset.mem_sigma",
+        "ProbabilityTheory.indep_bot_left",
+        "MeasureTheory.integral_integral_add'",
+        "Finset.disjSum_strictMono_left",
+        "ProbabilityTheory.IndepSets.union_iff",
+        "MeasureTheory.Measure.pi_eq",
+        "Array.foldr_push'",
+        "MeasureTheory.Measure.le_hausdorffMeasure",
+        "Turing.TM2to1.tr_eval_dom",
+        "MeasureTheory.Lp.mem_Lp_of_ae_le",
+        "List.filter_eq'",
+        "PMF.toOuterMeasure_mono",
+        "integral_pair",
+        "MeasureTheory.hausdorffMeasure_measurePreserving_funUnique",
+        "MeasureTheory.Lp.norm_neg",
+        "MeasureTheory.hasFiniteIntegral_add_measure",
+        "Std.PairingHeapImp.Heap.WF.singleton",
+        "Quot.map\u2082_mk",
+        "Finset.smul_mem_smul_finset_iff",
+        "MvPolynomial.eval_sub",
+        "Set.Finite.eq_of_subset_of_encard_le'",
+        "Set.encard_strictMono",
+        "Finset.mem_inv_smul_finset_iff\u2080",
+        "Set.abs_sub_left_of_mem_uIcc",
+        "Quotient.hrecOn'_mk''",
+        "Set.restrict_eq_restrict_iff",
+        "Nat.exists_eq_succ_of_ne_zero",
+        "ProbabilityTheory.iIndepFun.indepFun_finset_prod_of_not_mem",
+        "MeasureTheory.Mem\u2112p.of_le_mul",
+        "Set.infinite_mul",
+        "MeasureTheory.VectorMeasure.ext",
+        "StrictMono.strictMonoOn_IciExtend",
+        "List.mem_of_mem_erase",
+        "Set.countable_iff_exists_surjective",
+        "Set.SurjOn.union_union",
+        "List.append_right_inj",
+        "Finset.inf'_map",
+        "MeasureTheory.setAverage_const",
+        "Finset.mem_erase",
+        "aemeasurable_biInf",
+        "MeasurableEmbedding.of_measurable_inverse",
+        "MeasureTheory.Lp.simpleFunc.aestronglyMeasurable",
+        "MeasureTheory.VectorMeasure.MutuallySingular.neg_left_iff",
+        "ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun",
+        "ULower.down_computable",
+        "List.count_le_count_cons",
+        "MeasureTheory.FinStronglyMeasurable.sub",
+        "Set.bijOn_empty",
+        "List.reverseAux_eq",
+        "measurable_tProd_elim'",
+        "Trunc.eq",
+        "Finset.filter_subset",
+        "ContinuousMap.toLp_injective",
+        "ProbabilityTheory.IsFiniteKernel.bound_ne_top",
+        "Finset.fold_ite",
+        "Set.nontrivial_iff_pair_subset",
+        "Set.mul_subset_iff_right",
+        "PEquiv.single_trans_single",
+        "Set.pairwiseDisjoint_pi",
+        "List.infix_nil",
+        "MeasureTheory.volume_preserving_piEquivPiSubtypeProd",
+        "Finset.mem_uIcc_of_ge",
+        "Real.volume_pi_Ico",
+        "Finset.image_image\u2082_right_anticomm",
+        "Finset.inf_inf",
+        "IndexedPartition.index_some",
+        "Set.coe_singletonOneHom",
+        "ProbabilityTheory.kernel.ae_ae_of_ae_compProd",
+        "Primrec.vector_get'",
+        "ProbabilityTheory.condCount_of_univ",
+        "Nat.recDiagOn_zero_succ",
+        "Set.eq_of_subset_of_card_le",
+        "MeasureTheory.Lp.mem_Lp_of_nnnorm_ae_le_mul",
+        "Finset.insert_ne_empty",
+        "Std.RBSet.find?_insert_of_eq",
+        "Set.Finite.bddBelow_biUnion",
+        "WithBot.preimage_coe_bot",
+        "Finset.inter_subset_ite",
+        "MeasureTheory.L1.SimpleFunc.setToL1S_zero_left",
+        "Set.eqOn_comp_right_iff",
+        "MeasureTheory.set_integral_eq_zero_of_forall_eq_zero",
+        "Std.RBSet.foldlM_eq_foldlM_toList",
+        "MeasureTheory.withDensity_mul",
+        "String.get_of_valid",
+        "MeasureTheory.aecover_Ioo_of_Ioo",
+        "ProbabilityTheory.iIndepSet.indep_generateFrom_lt",
+        "MeasureTheory.Measure.QuasiMeasurePreserving.exists_preimage_eq_of_preimage_ae",
+        "measurable_of_empty",
+        "MvPolynomial.as_sum",
+        "aemeasurable_restrict_of_monotoneOn",
+        "Array.mapIdx_induction'",
+        "Partrec\u2082.unpaired'",
+        "MeasureTheory.integral_Ici_eq_integral_Ioi",
+        "Set.restrict_piecewise_compl",
+        "MeasureTheory.Lp.simpleFunc.toLp_toSimpleFunc",
+        "Opposite.equivToOpposite_coe",
+        "Sum.range_eq",
+        "Computable.equiv\u2082",
+        "Finset.nonempty_uIcc",
+        "MeasureTheory.VectorMeasure.AbsolutelyContinuous.refl",
+        "MvPolynomial.constantCoeff_comp_algebraMap",
+        "Nat.lt_log2_self",
+        "aemeasurable_restrict_of_measurable_subtype",
+        "Erased.join_eq_out",
+        "MeasureTheory.integrable_add_measure",
+        "MeasureTheory.AEStronglyMeasurable.mem\u2112p_truncation",
+        "ProbabilityTheory.iIndepFun.indepFun",
+        "Set.ncard_image_iff",
+        "Set.disjoint_left_ordSeparatingSet",
+        "Primrec.nat_sqrt",
+        "Fin.castLE_comp_castLE",
+        "LipschitzWith.hausdorffMeasure_image_le",
+        "MulAction.zpowersQuotientStabilizerEquiv_symm_apply",
+        "MeasureTheory.Integrable.aefinStronglyMeasurable",
+        "MeasureTheory.OuterMeasure.ext",
+        "Finmap.lookup_erase",
+        "MeasureTheory.SignedMeasure.existsNatOneDivLTMeasure_of_not_negative",
+        "Finset.inf'_biUnion",
+        "Set.iInter_iUnion_of_monotone",
+        "Set.RightInvOn.mapsTo",
+        "Turing.Tape.map_mk\u2081",
+        "MeasureTheory.Measure.QuasiMeasurePreserving.mono",
+        "MeasureTheory.OuterMeasure.boundedBy_eq_self",
+        "Part.coe_toFinset",
+        "MeasureTheory.StronglyMeasurable.ite",
+        "ProbabilityTheory.kernel.integral_integral_sub'",
+        "Set.countable_univ_pi",
+        "Turing.PartrecToTM2.trNum_natEnd",
+        "Finset.pair_comm",
+        "MeasureTheory.lintegral_strict_mono_of_ae_le_of_ae_lt_on",
+        "Fin.lastCases_castSucc",
+        "MeasureTheory.SimpleFunc.FinMeasSupp.pair",
+        "Int.sign_ofNat_of_nonzero",
+        "MeasureTheory.tendsto_measure_of_null_frontier",
+        "MeasureTheory.FiniteMeasure.tendsto_testAgainstNN_of_le_const",
+        "MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_tendsto",
+        "MvPolynomial.support_sub",
+        "RegularExpression.zero_def",
+        "Part.getOrElse_none",
+        "Int.add_lt_add",
+        "MeasureTheory.L1.SimpleFunc.setToL1S_zero_left'",
+        "MvPolynomial.modMonomial_X",
+        "Num.minFac_to_nat",
+        "PMF.mem_support_filter_iff",
+        "Nat.recDiagOn_succ_zero",
+        "MeasureTheory.SignedMeasure.zero_mem_measureOfNegatives",
+        "ContinuousMap.toLp_norm_eq_toLp_norm_coe",
+        "Finset.isPwo_support_mulAntidiagonal",
+        "MvPolynomial.bind\u2082_bind\u2082",
+        "MvPolynomial.killCompl_rename_app",
+        "MeasureTheory.integral_Icc_eq_integral_Ico",
+        "Quot.factor_mk_eq",
+        "Std.BitVec.ofNat_eq_ofNat",
+        "Vector3.consElim_cons",
+        "MeasureTheory.SimpleFunc.FinMeasSupp.map\u2082",
+        "PMF.toMeasure_bind_apply",
+        "MeasureTheory.upperCrossingTime_eq_of_bound_le",
+        "String.Iterator.Valid.toEnd",
+        "IndexedPartition.proj_eq_iff",
+        "MeasureTheory.Measure.MutuallySingular.add_right",
+        "Std.RBNode.Path.zoom_fill",
+        "PosNum.cast_to_znum",
+        "MeasureTheory.locallyIntegrableOn_const",
+        "exists\u2084_congr",
+        "exists\u2085_congr",
+        "MeasureTheory.Measure.ae_sum_iff'",
+        "MeasureTheory.Integrable.comp_div_left",
+        "Fin.val_ne_iff",
+        "aemeasurable_const_smul_iff\u2080",
+        "Std.RBSet.mem_insert_of_mem_toList",
+        "Finset.pimage_mono",
+        "MeasureTheory.measure_pos_iff_nonempty_of_isMulLeftInvariant",
+        "IndexedPartition.equivQuotient_index_apply",
+        "MvPolynomial.X_mul_modMonomial",
+        "MeasureTheory.measure_isOpen_pos_of_smulInvariant_of_ne_zero",
+        "Vector.mOfFn_part_some",
+        "USize.modn_toNat",
+        "Nat.Coprime.gcd_mul",
+        "Set.image_finset_prod",
+        "ProbabilityTheory.stronglyMeasurable_condexpKernel",
+        "Set.image_mulSingle_Ioc_left",
+        "ComputablePred.computable_of_oneOneReducible",
+        "Ctop.Realizer.ext",
+        "Primrec.nat_sub",
+        "Set.MulAntidiagonal.eq_of_fst_le_fst_of_snd_le_snd",
+        "measurable_of_restrict_of_restrict_compl",
+        "Set.piecewise_mem_Icc",
+        "Set.piecewise_range_comp",
+        "MeasureTheory.VectorMeasure.of_disjoint_iUnion",
+        "Set.disjoint_image_iff",
+        "Set.injOn_iff_invFunOn_image_image_eq_self",
+        "MeasureTheory.Measure.comap\u2097_eq_comap",
+        "BoundedContinuousFunction.Lp_norm_le",
+        "Rat.divInt_zero",
+        "Set.compl_subset_compl",
+        "MeasureTheory.quasiMeasurePreserving_div",
+        "MeasureTheory.Measure.count_singleton",
+        "intervalIntegral.deriv_integral_of_tendsto_ae_left",
+        "Decidable.imp_iff_not_or",
+        "PMF.support_filter",
+        "Set.fst_image_sigma",
+        "Primrec.nat_mul",
+        "MeasureTheory.Ico_ae_eq_Ioc",
+        "MvPolynomial.monomial_modMonomial",
+        "MvPolynomial.coeff_X_mul",
+        "TypeVec.typevecCasesNil\u2082_appendFun",
+        "Set.singleton_pi'",
+        "Set.range_eval",
+        "Finset.min'_le",
+        "measurableSet_le",
+        "TypeVec.typevecCasesCons\u2082_appendFun",
+        "Set.countable_iff_exists_injective",
+        "Nat.eq_or_lt_of_not_lt",
+        "AEMeasurable.iUnion",
+        "String.next'_eq"
+    ]
+}

random/test_formal_informal_metadata.json

@@ -0,0 +1,1022 @@
+{
+    "total_valid_proofs": 2000,
+    "total_no_tactics": 1015,
+    "deliminter": "**",
+    "no_tactics": [
+        "LaurentPolynomial.isUnit_T",
+        "PartENat.toWithTop_some",
+        "Finset.coe_smul",
+        "GenLoop.continuous_fromLoop",
+        "Int.neg_eq_neg",
+        "Polynomial.degree_sum_fin_lt",
+        "SimpleGraph.Walk.edges_bypass_subset",
+        "PrimeSpectrum.closedEmbedding_comap_of_surjective",
+        "Filter.tendsto_fst",
+        "IsMaxOn.norm_add_self",
+        "Rat.cast_sub",
+        "Set.finite_le_nat",
+        "Finset.eq_univ_of_forall",
+        "RingEquiv.trans_apply",
+        "CategoryTheory.ConcreteCategory.surjective_of_epi_of_preservesPushout",
+        "AlgEquiv.ext_iff",
+        "RingCon.coe_nsmul",
+        "MvPolynomial.coeToMvPowerSeries.ringHom_apply",
+        "FreimanHom.comp_id",
+        "ContinuousAt.vsub",
+        "Multiset.ndinsert_zero",
+        "Rat.mkRat_num_den",
+        "MeasureTheory.AEStronglyMeasurable.restrict",
+        "LinearMap.SeparatingLeft.toMatrix\u2082",
+        "Cardinal.pow_cast_right",
+        "t1Space_iff_continuous_cofinite_of",
+        "Antitone.pairwise_disjoint_on_Ioc_pred",
+        "continuous_quotient_mk'",
+        "Finset.smul_finset_union",
+        "Subsingleton.antitone'",
+        "LocalHomeomorph.symm_image_target_inter_eq",
+        "DoubleCentralizer.toProdMulOpposite_injective",
+        "Submodule.mk_quotientEquivOfIsCompl_apply",
+        "Filter.prod_mono_left",
+        "Seminorm.ext",
+        "List.isPrefixOf_cons\u2082",
+        "Cardinal.toNat_eq_iff",
+        "Polynomial.continuousWithinAt_aeval",
+        "Directed.mono",
+        "NonUnitalSubsemiring.mk'_toAddSubmonoid",
+        "Filter.inf_principal_neBot_iff",
+        "Filter.eventually_of_mem",
+        "Relation.TransGen.head",
+        "MvPolynomial.eval\u2082_zero_apply",
+        "LowerSet.coe_div",
+        "Finset.mem_uIcc_of_le",
+        "ofAdd_smul",
+        "IsMonoidHom.id",
+        "deriv_sqrt",
+        "IsROrC.conj_bit0",
+        "Order.pred_succ_of_not_isMax",
+        "TwoPointing.sum_fst",
+        "SmoothBumpFunction.hasCompactSupport",
+        "UpperHalfPlane.im_ne_zero",
+        "Filter.eventuallyEq_bind",
+        "Mathlib.Meta.Positivity.pow_zero_pos",
+        "CategoryTheory.Subgroupoid.isThin_iff",
+        "CategoryTheory.ActionCategory.\u03c0_map",
+        "coe_basisOfLinearIndependentOfCardEqFinrank",
+        "fderivWithin_pi",
+        "HasDerivWithinAt.const_sub",
+        "WithBot.toDual_lt_iff",
+        "le_iSup'",
+        "LocalHomeomorph.secondCountableTopology_source",
+        "IsLowerSet.le_card_inter_finset",
+        "supIrred_ofDual",
+        "ContinuousMultilinearMap.nnnorm_ofSubsingleton",
+        "Hyperreal.coe_ne_zero",
+        "SetTheory.PGame.zero_lt_one",
+        "IsCompact.isLUB_sSup",
+        "IsBoundedBilinearMap.differentiableOn",
+        "tendsto_atTop_of_eventually_const",
+        "Basis.algebraMap_injective",
+        "ContinuousAt.exp",
+        "StarSubalgebra.map_mono",
+        "tsum_sigma'",
+        "norm_le_norm_add_const_of_dist_le'",
+        "Equiv.sumArrowEquivProdArrow_apply_fst",
+        "Set.iUnion_vsub_left_image",
+        "CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mk",
+        "Real.volume_pi_Ioo",
+        "BoundedLatticeHom.coe_id",
+        "OrderIso.map_csInf",
+        "SetSemiring.add_def",
+        "Metric.isOpen_thickening",
+        "IsClosed.compl_mem_nhds",
+        "isOpen_Ioo",
+        "HasFDerivAt.csin",
+        "ContinuousMap.gen_inter",
+        "NonUnitalSubring.mem_carrier",
+        "CircleDeg1Lift.coe_mul",
+        "WellFoundedLT.fix_eq",
+        "IsCyclotomicExtension.finiteDimensional",
+        "Multiset.count_zero",
+        "Polynomial.eval\u2082_finset_prod",
+        "lt_or_lt_iff_ne",
+        "Equiv.coe_vaddConst_symm",
+        "AEMeasurable.const_inf",
+        "Ordinal.nfp_eq_self",
+        "Nat.Odd.of_mul_right",
+        "Set.mapsTo_iInter_iInter",
+        "Urysohns.CU.left_U_subset_right_C",
+        "FirstOrder.Language.BoundedFormula.IsAtomic.relabel",
+        "abelianizationCongr_of",
+        "MonoidHom.ker_restrict",
+        "MeasureTheory.measure_toMeasurable_union",
+        "ContinuousWithinAt.mem_closure",
+        "IsLocalMaxOn.sup",
+        "Rep.MonoidalCategory.braiding_inv_apply",
+        "MultilinearMap.map_update_zero",
+        "commutatorElement_self",
+        "LinearMap.fst_surjective",
+        "LinearMap.IsRefl.flip_isRefl_iff",
+        "Equiv.Perm.VectorsProdEqOne.zero_eq",
+        "IsCompact.isGreatest_sSup",
+        "Set.image_add_const_Icc",
+        "Colex.eq_iff",
+        "Ordinal.typein_enum",
+        "QuadraticForm.complex_equivalent",
+        "affineSpan_le",
+        "MeasureTheory.integral_iUnion_ae",
+        "ContinuousWithinAt.comp'",
+        "RePred.of_eq",
+        "Bool.decide_false_iff",
+        "Metric.self_subset_cthickening",
+        "MvPolynomial.aeval_def",
+        "lt_of_eq_of_lt",
+        "WithBot.add_coe_eq_bot_iff",
+        "Set.iUnion_or",
+        "Covby.image",
+        "Subalgebra.restrictScalars_toSubmodule",
+        "Asymptotics.isBigO_pure",
+        "reflexive_oneOneReducible",
+        "nhds_right'_le_nhds_ne",
+        "Algebra.trace_apply",
+        "Btw.btw.antisymm",
+        "CategoryTheory.mop_comp",
+        "iInf_congr_Prop",
+        "Monotone.strictMono_of_injective",
+        "Convex.image_deriv",
+        "PrimeSpectrum.vanishingIdeal_union",
+        "Lists'.mem_of_subset",
+        "Finite.card_pos",
+        "IsROrC.re_add_im",
+        "Set.eq_or_ssubset_of_subset",
+        "AffineIsometryEquiv.coe_mul",
+        "Part.get_mem",
+        "TensorProduct.AlgebraTensorModule.tensorTensorTensorComm_tmul",
+        "Real.Angle.continuous_sin",
+        "Int.card_Icc",
+        "IsLocalization.lift_id",
+        "FractionalIdeal.div_zero",
+        "summable_sum",
+        "FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius",
+        "Num.succ_to_nat",
+        "UpperSet.coe_subset_coe",
+        "Complementeds.coe_bot",
+        "AEMeasurable.div_const",
+        "FirstOrder.Language.Equiv.coe_toEmbedding",
+        "Matrix.isUnit_of_left_inverse",
+        "selfZpow_of_nonneg",
+        "AList.keys_erase",
+        "CategoryTheory.Functor.const.unop_functor_op_obj_map",
+        "UniformFun.hasBasis_nhds",
+        "ContinuousMap.HomotopyEquiv.continuous",
+        "ONote.opow_def",
+        "AlgEquiv.coe_algHom",
+        "SimpleGraph.singleton_disjoint_neighborFinset",
+        "edist_ofMul",
+        "Std.RBNode.insert_toList_zoom_nil",
+        "Mathlib.Tactic.ComputeDegree.natDegree_C_le",
+        "mulIndicator_eventuallyLE_mulIndicator",
+        "lt_inv_of_neg",
+        "PerfectClosure.induction_on",
+        "ComplexShape.down_mk",
+        "inv_add_inv",
+        "InfHom.ext",
+        "OrderEmbedding.isCoatom_of_map_top_of_image",
+        "Std.RBNode.cmpEq.RootOrdered_congr",
+        "nndist_midpoint_midpoint_le",
+        "EuclideanGeometry.oangle_eq_zero_iff_oangle_rev_eq_zero",
+        "Ordinal.mod_mod",
+        "Matrix.submatrix_mul_equiv",
+        "LinearMap.map_neg",
+        "Std.RBNode.Path.Ordered.insert",
+        "Finset.Subset.trans",
+        "Finset.pi_const_singleton",
+        "IsGalois.integral",
+        "MeasureTheory.Lp.stronglyMeasurable",
+        "NonUnitalStarSubalgebra.toNonUnitalSubalgebra_inj",
+        "RelEmbedding.codRestrict_apply",
+        "FiniteDimensional.nontrivial_of_finrank_pos",
+        "ContDiff.rpow_const_of_ne",
+        "transGen_of_succ_of_ne",
+        "Set.preimage_singleton_eq_empty",
+        "lcm_dvd_lcm_mul_left",
+        "Bornology.IsBounded.smul\u2080",
+        "selfAdjoint.val_pow",
+        "NatOrdinal.toOrdinal_symm_eq",
+        "Isometry.uniformContinuous",
+        "ContinuousLinearEquiv.continuousWithinAt",
+        "continuousAt_id",
+        "Disjoint.exists_mem_filter_basis",
+        "Nat.ArithmeticFunction.vonMangoldt_eq_zero_iff",
+        "List.IsPrefix.trans",
+        "coe_inv_unitSphere",
+        "Metric.preimage_mul_left_closedBall",
+        "Subalgebra.center_toSubsemiring",
+        "Algebra.surjective_algebraMap_iff",
+        "closure_diff_intrinsicFrontier",
+        "CliffordAlgebra.reverse_mem_evenOdd_iff",
+        "Submodule.orthogonal_gc",
+        "List.destutter_pair",
+        "Int.ofNat_mul_negSucc",
+        "codisjoint_map_orderIso_iff",
+        "Set.preimage_pi",
+        "Ordinal.toNatOrdinal_zero",
+        "AlternatingMap.map_eq_zero_of_eq",
+        "MeasureTheory.integrableOn_condexpL2_of_measure_ne_top",
+        "mul_lt_mul\u2080",
+        "Filter.BoundedAtFilter.smul",
+        "Subsemiring.le_pointwise_smul_iff\u2080",
+        "Submodule.restrictScalars_top",
+        "Set.eq_empty_of_isEmpty",
+        "CategoryTheory.Sieve.pullback_pushforward_le",
+        "Path.coe_mk",
+        "Matrix.trace_fin_two",
+        "mul_one_eq_id",
+        "Iic_mem_nhds",
+        "Filter.eventually_ne_atBot",
+        "intermediate_value_Ioc",
+        "ContinuousOrderHom.id_comp",
+        "MeasureTheory.Measure.IsComplete.out",
+        "LocalHomeomorph.preimage_interior",
+        "ModelWithCorners.coe_extChartAt_transDiffeomorph",
+        "LipschitzWith.mul_end",
+        "Ordnode.Valid'.node",
+        "HasStrictFDerivAt.cos",
+        "ProbabilityTheory.kernel.prodMkLeft_apply'",
+        "Filter.isAtom_pure",
+        "nhds_bind_nhdsWithin",
+        "EuclideanGeometry.cospherical_empty",
+        "Real.contDiffAt_rpow_const_of_ne",
+        "Polynomial.rootMultiplicity_zero",
+        "Set.vsub_subset_vsub_left",
+        "IsBoundedBilinearMap.map_sub_left",
+        "Set.iUnion_ge_eq_iUnion_nat_add",
+        "Con.toSetoid_inj",
+        "AlgHom.toLieHom_comp",
+        "IsLocalizedModule.fromLocalizedModule'_mk",
+        "OptionT.goto_mkLabel",
+        "Complementeds.mk_top",
+        "MeasureTheory.SimpleFunc.inf_apply",
+        "Sylow.coe_comapOfKerIsPGroup",
+        "Smooth.snd",
+        "CategoryTheory.Functor.essImage.ofNatIso",
+        "Continuous.nndist",
+        "dense_univ",
+        "CategoryTheory.Abelian.comp_epiDesc",
+        "NonUnitalSubsemiring.gc_map_comap",
+        "CategoryTheory.Limits.Multiequalizer.condition",
+        "OrderIso.image_symm_image",
+        "List.Sublist.length_le",
+        "ContinuousConstSMul.secondCountableTopology",
+        "Finset.inr_mem_disjSum",
+        "UniformSpace.Completion.uniformEmbedding_coe",
+        "Matrix.kroneckerMap_reindex_right",
+        "Iff.not_left",
+        "MvPolynomial.monomial_sum_one",
+        "Absorbs.add",
+        "measurable_smul_const",
+        "MeasureTheory.mem_lpMeas_indicatorConstLp",
+        "Filter.NeBot.zero_div_nonneg",
+        "mem_integralClosure_iff_mem_FG",
+        "CategoryTheory.NatTrans.naturality_app",
+        "ContinuousLinearEquiv.mdifferentiableOn",
+        "nndist_triangle",
+        "VectorPrebundle.smoothCoordChange_apply",
+        "Filter.comap_cofinite_le",
+        "Metric.closedBall_subset_closedBall'",
+        "AddValuation.ext_iff",
+        "UniformEmbedding.comp",
+        "LinearMap.map_smul\u2082",
+        "Symmetric.swap_eq",
+        "IsMetricSeparated.union_right",
+        "FirstOrder.Language.Substructure.le_comap_of_map_le",
+        "Nat.mul_lt_mul'",
+        "AddMonoidHom.extension_coe",
+        "IsROrC.algebraMap_eq_ofReal",
+        "List.foldr_nil",
+        "SymAlg.mul_def",
+        "inf_right_comm",
+        "inv_ball",
+        "Antitone.le_leftLim",
+        "Prod.fst_comp_toSigma",
+        "Ordinal.enumOrd_def_nonempty",
+        "IsMin.Iio_eq",
+        "IsLocalMinOn.min",
+        "DifferentiableOn.analyticOn",
+        "TopCat.Presheaf.isSheaf_iff_isSheafEqualizerProducts",
+        "Option.to_list_none",
+        "GeneralizedContinuedFraction.convergent_eq_conts_a_div_conts_b",
+        "NNReal.summable_mk",
+        "SemidirectProduct.inv_right",
+        "Finset.compl_eq_univ_iff",
+        "Matrix.blockDiagonal_apply_ne",
+        "Basis.card_le_card_of_submodule",
+        "Set.mem_sigma_iff",
+        "Vector.mapAccumr_cons",
+        "Order.Cofinal.le_above",
+        "Subsemigroup.map_strictMono_of_injective",
+        "csSup_Iic",
+        "Monoid.coe_one",
+        "ZMod.injective_valMinAbs",
+        "intervalIntegral.integral_nonneg_of_ae",
+        "measurable_mem",
+        "Submodule.toAddSubmonoid_toNatSubmodule",
+        "dNext_comp_left",
+        "Cardinal.lift_mk_shrink",
+        "IsIntegral.sum",
+        "CategoryTheory.Presheaf.isSheaf_of_isTerminal",
+        "NonemptyInterval.ext_iff",
+        "ProjectiveSpectrum.mem_coe_basicOpen",
+        "ModuleCat.piIsoPi_inv_kernel_\u03b9",
+        "Function.Injective.hasLeftInverse",
+        "Subsemigroup.mem_closure",
+        "WithBot.Icc_bot_coe",
+        "Std.RBNode.Path.Balanced.insert",
+        "CategoryTheory.Preadditive.hasCoequalizers_of_hasCokernels",
+        "Filter.Tendsto.mono_right",
+        "Filter.Tendsto.nndist",
+        "ContinuousMap.congr_fun",
+        "isCompactOperator_iff_isCompact_closure_image_closedBall",
+        "Relation.TransGen.head'",
+        "CategoryTheory.Limits.coequalizer.condition",
+        "Set.Ioc_subset_Ioo_union_Icc",
+        "Subgroup.mem_closure",
+        "isOpen_extChartAt_source",
+        "AddMonoidAlgebra.le_infDegree_add",
+        "DFinsupp.sumAddHom_zero",
+        "Filter.tendsto_add_atTop_nat",
+        "PicardLindelof.FunSpace.uniformInducing_toContinuousMap",
+        "MulAction.orbit_smul_subset",
+        "max_mul_mul_le_max_mul_max'",
+        "Submodule.span_insert_eq_span",
+        "SimpleGraph.mem_cliqueFinset_iff",
+        "HasDerivAt.arsinh",
+        "Matrix.UnitaryGroup.toLin'_one",
+        "Codisjoint.himp_le_of_right_le",
+        "bit0_eq_zero",
+        "Fin.pos",
+        "Std.RBNode.insert_toList_zoom_node",
+        "IntermediateField.mem_mk",
+        "MeasureTheory.measurableEmbedding_of_fderivWithin",
+        "InitialSeg.trans_apply",
+        "List.rel_sections",
+        "Submodule.mul_comm",
+        "AlternatingMap.curryLeft_smul",
+        "bddAbove_smul_iff_of_pos",
+        "OrderDual.Preorder.dual_dual",
+        "Int.not_irrational",
+        "left_mem_affineSpan_pair",
+        "AddSubgroup.mem_smul_pointwise_iff_exists",
+        "CategoryTheory.Idempotents.app_p_comm",
+        "SetLike.exists",
+        "Fintype.exists_le_card_fiber_of_mul_le_card",
+        "Filter.blimsup_eq",
+        "Continuous.inv\u2080",
+        "Continuous.exp",
+        "MeasureTheory.quasiMeasurePreserving_div",
+        "isConnected_Ico",
+        "Subtype.coe_sup",
+        "SimpleGraph.swap_mem_interedges_iff",
+        "IsROrC.I_mul_I",
+        "MeasureTheory.SimpleFunc.mem\u2112p_iff",
+        "ENNReal.inv_limsup",
+        "Algebra.TensorProduct.map_comp",
+        "div_mem_comm_iff",
+        "Set.exists_image_iff",
+        "Nat.digits_zero_zero",
+        "NonUnitalAlgebra.inf_toNonUnitalSubsemiring",
+        "iInf_ne_top_subtype",
+        "Complex.zero_lt_real",
+        "AddSubgroup.pointwise_smul_le_pointwise_smul_iff",
+        "RingHom.ker_ne_top",
+        "MulAction.Supports.mono",
+        "Nat.Prime.ne_one",
+        "QuotientGroup.homQuotientZPowOfHom_id",
+        "continuousWithinAt_const",
+        "derivWithin_pow'",
+        "Set.Nonempty.inv",
+        "Finset.singleton_one",
+        "Equiv.Perm.ofSubtype_apply_coe",
+        "LieEquiv.refl_symm",
+        "Function.one_lt_const",
+        "measure_Ico_lt_top",
+        "CategoryTheory.Functor.initial_natIso_iff",
+        "ENNReal.top_ne_zero",
+        "frontier_Iic_subset",
+        "OrderIso.ext",
+        "Filter.comap_embedding_atBot",
+        "AlgEquiv.restrictScalars_apply",
+        "IsUnit.mul_left_eq_zero",
+        "smul_vsub_rev_vadd_mem_affineSpan_pair",
+        "Filter.EventuallyEq.differentiableAt_iff",
+        "nonempty_measurable_superset",
+        "Set.iInter_plift_down",
+        "SimpleGraph.edgeDensity_le_one",
+        "Finsupp.not_mem_graph_snd_zero",
+        "normUnit_eq_one",
+        "not_imp_eq_of_eq_false_right",
+        "AlgHom.one_apply",
+        "iInf_iInf_eq_right",
+        "Finset.Nonempty.sym",
+        "AddCommGroupCat.asHom_apply",
+        "PSet.Equiv.symm",
+        "SeparatedNhds.preimage",
+        "CliffordAlgebraQuaternion.toQuaternion_ofQuaternion",
+        "Finsupp.prod_antidiagonal_swap",
+        "LocalHomeomorph.image_source_eq_target",
+        "Std.BinomialHeap.Imp.Heap.WF.merge",
+        "lowerClosure_eq_bot_iff",
+        "compl_sup_compl_le",
+        "Stream'.Seq.mem_cons_of_mem",
+        "measurableEmbedding_const_smul\u2080",
+        "iff_true_iff",
+        "AlgebraicGeometry.quasiCompact_stableUnderBaseChange",
+        "EsakiaHom.ext",
+        "NonUnitalSubalgebra.coe_map",
+        "CategoryTheory.finitaryExtensive_of_preserves_and_reflects",
+        "Finset.min_insert",
+        "Set.ordConnected_uIoc",
+        "Asymptotics.IsBigO.pow",
+        "Monotone.map_csInf",
+        "GenLoop.continuous_toLoop",
+        "Quotient.exact'",
+        "eq_of_abs_sub_nonpos",
+        "FormalMultilinearSeries.apply_order_ne_zero'",
+        "IsHausdorff.haus",
+        "ProbabilityTheory.IndepSets.union_iff",
+        "FirstOrder.Language.Substructure.map_inf_comap_of_surjective",
+        "FractionalIdeal.one_mem_one",
+        "isCompl_toDual_iff",
+        "smul_inv''",
+        "Cardinal.toNat_apply_of_lt_aleph0",
+        "Metric.equicontinuous_of_continuity_modulus",
+        "StarSubalgebra.centralizer_le",
+        "List.Sorted.get_strictMono",
+        "ContractingWith.efixedPoint_mem'",
+        "MeasureTheory.Integrable.norm",
+        "Sum.Lex.inl_lt_inl_iff",
+        "MeasureTheory.ProbabilityMeasure.tendsto_nhds_iff_toFiniteMeasure_tendsto_nhds",
+        "List.Sublist.count_le",
+        "min_one",
+        "Finset.eq_of_mem_slice",
+        "MvPolynomial.IsWeightedHomogeneous.add",
+        "Int.ofNat_eq_zero",
+        "contMDiffAt_const",
+        "Subring.prod_mono",
+        "Set.diff_diff_cancel_left",
+        "Set.mapsTo_prod_map_diagonal",
+        "VectorAllP.imp",
+        "Equiv.Perm.support_refl",
+        "IsLocallyConstant.iff_isOpen_fiber",
+        "Polynomial.fderivWithin_aeval",
+        "CategoryTheory.IsFilteredOrEmpty.of_isRightAdjoint",
+        "MonotoneOn.Ico",
+        "QuadraticForm.linMulLin_comp",
+        "LocallyConstant.coe_desc",
+        "IsLprojection.le_def",
+        "CategoryTheory.Faithful.div_faithful",
+        "HNNExtension.NormalWord.consRecOn_ofGroup",
+        "isG\u03b4_empty",
+        "ack_le_iff_right",
+        "Tuple.antitone_pair_of_not_sorted",
+        "Matrix.isDiag_iff_diagonal_diag",
+        "AddValuation.map_add",
+        "CoheytingHom.coe_id",
+        "CategoryTheory.Limits.image.isoStrongEpiMono_inv_comp_mono",
+        "Prod.uIcc_eq",
+        "Finsupp.mapRange.linearEquiv_apply",
+        "DifferentiableOn.hasFDerivAt",
+        "decidableEq_inr_neg",
+        "DifferentiableWithinAt.sub_const",
+        "AEMeasurable.indicator",
+        "MeasureTheory.AEStronglyMeasurable.indicator",
+        "span_gramSchmidt_Iio",
+        "Set.bounded_gt_Ioo",
+        "Finset.ssubset_of_ssubset_of_subset",
+        "Set.Infinite.of_smul_set",
+        "DifferentiableAt.sinh",
+        "Set.Subsingleton.coe_sort",
+        "ContMDiffAt.smul",
+        "MulAction.fixed_eq_iInter_fixedBy",
+        "upperSemicontinuousOn_const",
+        "Finset.singleton_ne_empty",
+        "List.some_nthLe_eq",
+        "UpperHalfPlane.continuous_re",
+        "Subalgebra.coe_sub",
+        "Embedding.isSeparable_preimage",
+        "Complex.continuousOn_tan",
+        "Sum.Lex.inl_le_inr",
+        "WithTop.forall",
+        "Set.Finite.einfsep_pos",
+        "Ideal.mem_span_singleton'",
+        "MeasureTheory.Ioo_ae_eq_Ioc'",
+        "CategoryTheory.Equivalence.functor_map_inj_iff",
+        "HasFPowerSeriesOnBall.add",
+        "CategoryTheory.IsDetector.isSeparator",
+        "Set.mem_sep_iff",
+        "List.mem_keys_of_mem_keys_kerase",
+        "IsCompactOperator.clm_comp",
+        "EuclideanHalfSpace.ext",
+        "NonUnitalStarAlgebra.map_top",
+        "Set.finite_range_findGreatest",
+        "Filter.Tendsto.zpow",
+        "MeasurableEmbedding.comap_eq",
+        "HasFPowerSeriesOnBall.analyticAt",
+        "CauSeq.lim_le",
+        "Int.div_mul_cancel",
+        "Complex.nnnorm_int",
+        "Subsemigroup.map_map",
+        "HasFDerivWithinAt.mono_of_mem",
+        "Set.Icc_subset_Ioi_iff",
+        "Algebra.toSubsemiring_eq_top",
+        "Set.mem_union_left",
+        "LinearPMap.adjoint_apply_eq",
+        "not_eq_of_eq_true",
+        "elementalStarAlgebra.isClosed",
+        "Matrix.toLin'_apply",
+        "Ordinal.blsub_id",
+        "measurable_quotient_mk'",
+        "EuclideanGeometry.left_ne_right_of_oangle_eq_pi_div_two",
+        "isClopen_compl_iff",
+        "LieSubalgebra.mem_mk_iff",
+        "Ici_toDual",
+        "antivaryOn_toDual_right",
+        "Asymptotics.SuperpolynomialDecay.mul_param_zpow",
+        "Cardinal.mk_out",
+        "Module.Ray.someRayVector_ray",
+        "OrderMonoidHom.toMonoidHom_eq_coe",
+        "Fin.forall_fin_succ_pi",
+        "apply_wcovby_apply_iff",
+        "Subtype.mk_le_mk",
+        "StarSubalgebra.range_le",
+        "ContinuousOrderHom.coe_id",
+        "IntervalIntegrable.aestronglyMeasurable",
+        "AntisymmRel.trans_wcovby",
+        "Continuous.prod_mk",
+        "HasStrictFDerivAt.eq_implicitFunctionOfComplemented",
+        "Matrix.of_add_of",
+        "ContinuousMap.one_comp",
+        "CategoryTheory.Limits.IsZero.eq_of_tgt",
+        "\u03b5NFA.start_one",
+        "CategoryTheory.Limits.WalkingPair.equivBool_symm_apply_false",
+        "Matrix.conjTranspose_list_prod",
+        "Nat.sqrt_add_eq'",
+        "SetTheory.PGame.moveRight_nim'",
+        "Turing.Tape.write_nth",
+        "Hyperreal.Infinite.ne_zero",
+        "SimpleGraph.Subgraph.neighborSet_sup",
+        "CategoryTheory.isIso_of_epi_of_nonzero",
+        "MeasureTheory.Measure.coe_add",
+        "Option.Mem.leftUnique",
+        "Quot.liftOn\u2082_mk",
+        "CochainComplex.mkHom_f_1",
+        "div_neg_of_pos_of_neg",
+        "RingHom.Finite.of_surjective",
+        "Finset.ne_empty_of_mem",
+        "FractionalIdeal.map_comp",
+        "CircleDeg1Lift.monotone",
+        "Finset.disjiUnion_cons",
+        "CategoryTheory.op_zsmul",
+        "Ordinal.nat_cast_succ",
+        "IsROrC.conj_re",
+        "Set.div_eq_empty",
+        "MvPolynomial.counit_surjective",
+        "CauSeq.Completion.mk_mul",
+        "Submodule.quotEquivOfEq_mk",
+        "Continuous.Icc_extend'",
+        "Function.Injective.sum_elim",
+        "RingHom.map_list_prod",
+        "ENNReal.essSup_const_mul",
+        "Std.RBSet.mkRBSet_eq",
+        "Ideal.IsPrime.radical_le_iff",
+        "NonUnitalStarSubalgebra.mem_toNonUnitalSubalgebra",
+        "Set.image_iInter_subset",
+        "pathComponent_symm",
+        "MeasureTheory.ProbabilityMeasure.toFiniteMeasure_embedding",
+        "Hindman.exists_FP_of_finite_cover",
+        "Prefunctor.pathStar_apply",
+        "Set.Nonempty.of_mul_left",
+        "Nat.bit0_lt_bit1",
+        "Hyperreal.InfinitePos.pos",
+        "CliffordAlgebra.EquivEven.Q'_apply",
+        "SemiNormedGroupCat.explicitCokernelDesc_zero",
+        "StrictMono.orderIsoOfSurjective_symm_apply_self",
+        "OrderIso.toFun_eq_coe",
+        "LinearMap.mulRight_toAddMonoidHom",
+        "MulAut.mul_apply",
+        "WithBot.le_of_add_le_add_right",
+        "ExistsContDiffBumpBase.u_smooth",
+        "StrictMonoOn.comp_strictAntiOn",
+        "CentroidHom.toAddMonoidHom_eq_coe",
+        "SetSemiring.up_down",
+        "IsCoatom.le_iff",
+        "IsCompact.totallyBounded",
+        "isBoundedBilinearMap_smulRight",
+        "IsMax.Ici_eq",
+        "Finset.forall_of_forall_insert",
+        "MonotoneOn.quasiconvexOn",
+        "Subfield.closure_le",
+        "NumberField.Units.dirichletUnitTheorem.seq_norm_ne_zero",
+        "Ultrafilter.em",
+        "AlternatingMap.curryLeft_add",
+        "pi_nnnorm_const'",
+        "Int.nonneg_of_pos",
+        "contDiffWithinAt_inter",
+        "Finsupp.support_neg",
+        "Abelianization.lift.unique",
+        "Unitization.inr_zero",
+        "ENNReal.coe_lt_top",
+        "SmoothBumpFunction.nhds_basis_support",
+        "Set.center_eq_univ",
+        "WithTop.toDual_symm_apply",
+        "Finset.div_inter_subset",
+        "LinearIsometryEquiv.norm_map",
+        "BotHom.coe_comp",
+        "isOpen_uniformity",
+        "SemidirectProduct.inr_injective",
+        "Nat.cast_min",
+        "Derivation.sub_apply",
+        "Complex.normSq_eq_zero",
+        "ContMDiffOn.congr",
+        "Fin.prod_univ_zero",
+        "Order.bot_lt_succ",
+        "IsScalarTower.coe_toAlgHom",
+        "parallelogram_law_with_nnnorm",
+        "Rat.zero_den",
+        "Finset.codisjoint_inf_right",
+        "Finsupp.comapSMul_single",
+        "FirstOrder.Language.Equiv.toEmbedding_toHom",
+        "Commute.multiset_sum_left",
+        "Finset.monotone_filter_left",
+        "DFinsupp.not_mem_neLocus",
+        "isClopen_biInter_finset",
+        "continuous_empty_function",
+        "Set.Ioo_subset_Ico_self",
+        "ConvexCone.Salient.anti",
+        "Submodule.map_smul''",
+        "IsROrC.continuous_normSq",
+        "Set.sInf_eq_sInter",
+        "ContDiffWithinAt.cos",
+        "Polynomial.degree_lt_wf",
+        "PSet.equiv_iff_mem",
+        "CategoryTheory.ihom.coev_ev",
+        "CategoryTheory.Limits.Bicone.toCone_\u03c0_app_mk",
+        "Real.hasDerivAt_arcsin",
+        "SetLike.homogeneous_coe",
+        "Field.subset_closure",
+        "lowerSemicontinuous_iff_isOpen_preimage",
+        "HasDerivAt.tendsto_punctured_nhds",
+        "CategoryTheory.Subgroupoid.map_comap_le",
+        "Multiset.of_mem_filter",
+        "MeasureTheory.AEDisjoint.of_null_right",
+        "extChartAt_preimage_mem_nhdsWithin",
+        "ApplicativeTransformation.preserves_pure",
+        "Set.Subsingleton.measurableSet",
+        "Set.Bounded.mono",
+        "MulPosMono.toMulPosStrictMono",
+        "inf_le_bihimp",
+        "IsometryEquiv.symm_trans_apply",
+        "Real.pi_div_two_eq_arcsin",
+        "deriv_sq_norm_ne_zero",
+        "Filter.eventuallyEq_principal",
+        "ContinuousLinearMap.coe_restrictScalars",
+        "Finset.fold_singleton",
+        "IsCoatom.lt_iff",
+        "ContinuousOrderHom.comp_id",
+        "Matrix.fromBlocks_apply\u2081\u2081",
+        "IsClopen.isClosed",
+        "LieModuleHom.add_apply",
+        "Finset.Icc_subset_Icc_left",
+        "Complex.I_re",
+        "frobenius_sub",
+        "LinearMap.IsAlt.self_eq_zero",
+        "CliffordAlgebra.EquivEven.reverse_e0",
+        "NonUnitalAlgHom.subtype_comp_codRestrict",
+        "star_intCast",
+        "Filter.exists_eventuallyEq_const_of_forall_separating",
+        "Int.eq_of_associated_of_nonneg",
+        "Finset.mem_union_left",
+        "Fin.val_two",
+        "lowerBounds_mono",
+        "HolderOnWith.ediam_image_inter_le_of_le",
+        "edist_dist",
+        "StrictConcaveOn.inf",
+        "CategoryTheory.Limits.BinaryBicone.fstKernelFork_\u03b9",
+        "TensorProduct.lid_tmul",
+        "MeasurableSpace.generateFrom_sup_generateFrom",
+        "ContinuousAt.rpow_const",
+        "Subalgebra.coe_restrictScalars",
+        "TrivSqZeroExt.inl_add",
+        "Equiv.Perm.VectorsProdEqOne.rotate_zero",
+        "ENNReal.continuous_nnreal_sub",
+        "Finset.mul_univ_of_one_mem",
+        "PowerSeries.coe_X",
+        "Set.image_subtype_val_Ioo_subset",
+        "Metric.isometry_inl",
+        "Ideal.le_map_of_comap_le_of_surjective",
+        "embedding_of_embedding_compose",
+        "LieSubalgebra.span_empty",
+        "hammingNorm_lt_one",
+        "SubMulAction.mem_carrier",
+        "Monoid.End.coe_pow",
+        "IsROrC.I_mul_I_of_nonzero",
+        "MeasureTheory.Integrable.integral_condDistrib",
+        "MeasureTheory.StronglyMeasurable.div",
+        "pow_ne_zero",
+        "MeasurableEquiv.coe_smul\u2080",
+        "Even.mul_left",
+        "BoxIntegral.Prepartition.le_biUnionIndex",
+        "MeasureTheory.Submartingale.sum_mul_sub'",
+        "iteratedFDeriv_add_apply'",
+        "QuotientGroup.homQuotientZPowOfHom_comp_of_rightInverse",
+        "SimpleGraph.Reachable.trans",
+        "zero_smul",
+        "RingEquiv.toMonoidHom_commutes",
+        "le_of_neg_of_one_div_le_one_div",
+        "CategoryTheory.IsCofilteredOrEmpty.of_initial",
+        "IsLeast.isGLB",
+        "EMetric.diam_eq_zero_iff",
+        "Antitone.vecCons",
+        "Set.image3_congr'",
+        "LatticeOrderedGroup.m_neg_part_def",
+        "MeasureTheory.SimpleFunc.inv_apply",
+        "LinearMap.range_toAddSubmonoid",
+        "LinearMap.detAux_id",
+        "min_lt_iff",
+        "Submodule.mem_div_iff_forall_mul_mem",
+        "ModuleCat.monoidalClosed_curry",
+        "List.Forall\u2082.mp",
+        "CategoryTheory.\u03bc_inv_naturality",
+        "Asymptotics.IsLittleO.add",
+        "CategoryTheory.FreeBicategory.mk_id",
+        "Set.diff_univ",
+        "ContinuousMultilinearMap.coe_restrictScalars",
+        "prod_mk_mem_compRel",
+        "Real.Angle.cos_coe",
+        "nhds_eq_nhds_emetric_ball",
+        "Std.RBNode.Stream.toList_nil",
+        "Set.ordConnected_biInter",
+        "VectorBundleCore.mem_localTriv_source",
+        "MeasureTheory.Measure.measure_Ioo_eq_zero",
+        "mul_left_cancel''",
+        "AbstractCompletion.continuous_map",
+        "LipschitzOnWith.edist_le_mul_of_le",
+        "ContinuousOrderHom.coe_copy",
+        "DiffContOnCl.const_smul",
+        "Asymptotics.superpolynomialDecay_iff_abs_tendsto_zero",
+        "IsGenericPoint.specializes_iff_mem",
+        "CauSeq.mul_pos",
+        "ContinuousMultilinearMap.bounds_bddBelow",
+        "MeasureTheory.Measure.lintegral_bind",
+        "PrimeMultiset.coeNat_injective",
+        "List.argmin_singleton",
+        "Subsemiring.center_eq_top",
+        "IsLUB.exists_between_sub_self",
+        "WithLp.equiv_symm_single",
+        "AntitoneOn.convex_le",
+        "inducing_subtype_val",
+        "Subgroup.mem_iSup_of_mem",
+        "NonUnitalStarSubalgebra.coe_center",
+        "Set.image2_subset_iff",
+        "MvPolynomial.le_weightedTotalDegree",
+        "EReal.coe_sub",
+        "Finset.inf'_insert",
+        "MeasureTheory.LocallyIntegrableOn.add",
+        "Polynomial.SplittingField.splits",
+        "monotone_of_deriv_nonneg",
+        "List.dProdIndex_nil",
+        "CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq",
+        "NormedAddGroupHom.smul_apply",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono",
+        "MeasureTheory.map_mul_right_eq_self",
+        "ENNReal.mul_left_mono",
+        "UpperSet.prod_sup",
+        "selfAdjoint.val_one",
+        "Filter.map\u2082_map_left_anticomm",
+        "Multiset.monotone_filter_left",
+        "ContinuousLinearMap.map_smul_of_tower",
+        "Disjoint.dual",
+        "Subsemigroup.le_comap_of_map_le",
+        "AbstractCompletion.extend_comp_coe",
+        "WithTop.ofDual_apply_top",
+        "Pi.default_def",
+        "List.singleton_eq",
+        "CocompactMap.coe_copy",
+        "Subgroup.map_inf_le",
+        "Filter.HasBasis.clusterPt_iff",
+        "ENNReal.inv_liminf",
+        "Algebra.TensorProduct.productMap_left",
+        "IsPreconnected.intermediate_value",
+        "RingEquiv.toNonUnitalRingHom_refl",
+        "Submodule.sInf_coe",
+        "Orthonormal.toSubtypeRange",
+        "LocalHomeomorph.contDiff_unitBallBall_symm",
+        "SupHom.dual_id",
+        "TypeVec.lastFun_subtypeVal",
+        "isMinFilter_dual_iff",
+        "CategoryTheory.GrothendieckTopology.Subpresheaf.sheafify_sheafify",
+        "CategoryTheory.Preadditive.forkOfKernelFork_\u03b9",
+        "USize.modn_toNat",
+        "SetTheory.PGame.numeric_zero",
+        "Function.minimalPeriod_id",
+        "CliffordAlgebraComplex.Q_apply",
+        "IsTorsion.quotient_iff",
+        "Subring.toSubsemiring_injective",
+        "Monoid.CoprodI.NeWord.singleton_last",
+        "Ideal.isPrime_of_irreducible_absNorm",
+        "MeasureTheory.MeasurePreserving.prod",
+        "Equiv.eq_symm_comp",
+        "Units.isSMulRegular",
+        "Finite.one_lt_card",
+        "IsClosed.upperSemicontinuousOn_indicator",
+        "Subsingleton.strictMono",
+        "MvPolynomial.vars_one",
+        "CategoryTheory.Limits.Multicoequalizer.multicofork_\u03b9_app_right",
+        "mul_eq_zero_comm",
+        "NonUnitalSubsemiring.mem_closure_iff",
+        "LocalHomeomorph.EqOnSource.eqOn",
+        "Function.is_periodic_id",
+        "LinearMap.mulRight_apply",
+        "List.Chain'.take",
+        "Set.symmDiff_def",
+        "Smooth.smul",
+        "SimpleGraph.Walk.darts_cons",
+        "IsROrC.conj_I",
+        "ContinuousAlternatingMap.map_piecewise_add",
+        "SlashInvariantForm.coe_zero",
+        "MeasureTheory.AEEqFun.lintegral_mk",
+        "Set.inter_compl_self",
+        "cauchySeq_tendsto_of_complete",
+        "Cubic.ne_zero_of_b_ne_zero",
+        "wellFounded_antisymmetrization_iff",
+        "isIrreducible_singleton",
+        "Subgroup.prod_mono_right",
+        "Quaternion.mul_coe_eq_smul",
+        "tendsto_pow_atTop_nhds_0_of_abs_lt_1",
+        "ConjAct.toConjAct_mul",
+        "Function.Commute.comp_right",
+        "Filter.Germ.le_def",
+        "Set.eqOn_comp_right_iff",
+        "Monovary.sum_comp_perm_smul_le_sum_smul",
+        "MvPolynomial.constantCoeff_smul",
+        "AlgHom.range_comp",
+        "CategoryTheory.Functor.const.opObjUnop_hom_app",
+        "GroupFilterBasis.prod_subset_self",
+        "MeasureTheory.SimpleFunc.bind_apply",
+        "TopHom.ext",
+        "Function.Surjective.of_comp_iff",
+        "SetTheory.PGame.Impartial.equiv_zero_iff_le",
+        "Nat.div2_zero",
+        "Sum.getLeft?_inl",
+        "AlternatingMap.domDomCongr_perm",
+        "Filter.coext",
+        "Matrix.conjTranspose_list_sum",
+        "coeFn_fourierLp",
+        "Filter.prod_mono_right",
+        "BoxIntegral.Prepartition.iUnion_biUnionTagged",
+        "NNRat.toNNRat_mono",
+        "uniformContinuous_toMul",
+        "contDiffOn_succ_of_fderiv_apply",
+        "MeasureTheory.AEStronglyMeasurable.inv",
+        "RingHom.asBoolAlg_id",
+        "BoundedContinuousFunction.dist_toContinuousMap",
+        "HilbertBasis.tsum_inner_mul_inner",
+        "tendsto_ceil_atTop",
+        "SimpleGraph.Walk.length_concat",
+        "MeasureTheory.condexpL1_congr_ae",
+        "IsBaseChange.inductionOn",
+        "FirstOrder.Language.Substructure.cg_closure",
+        "ModelWithCorners.right_inv",
+        "Cardinal.toNat_lt_of_lt_of_lt_aleph0",
+        "isOpen_gt'",
+        "Disjoint.inf_right",
+        "Filter.mem_inf_iff",
+        "LocalHomeomorph.refl_prod_refl",
+        "Cardinal.mk_preimage_of_injective_of_subset_range_lift",
+        "PerfectClosure.liftOn_mk",
+        "Set.iInter\u2082_mono'",
+        "LipschitzWith.continuous_compLp",
+        "LinearEquivClass.range",
+        "continuous_const",
+        "DFinsupp.neLocus_add_left",
+        "Order.Ideal.carrier_eq_coe",
+        "Traversable.foldlm_map",
+        "Subsemiring.range_fst",
+        "Set.add_mem_Ioc_iff_left",
+        "MeasureTheory.ae_eq_univ",
+        "AddSubgroup.pointwise_smul_le_iff\u2080",
+        "total_of",
+        "ModularGroup.lcRow0_apply",
+        "Monotone.map_sSup_of_continuousAt'",
+        "StrictMono.minimal_of_minimal_image",
+        "ContinuousMap.HomotopyEquiv.toFun_eq_coe",
+        "PicardLindelof.continuousOn",
+        "Finset.prod_range_add_div_prod_range",
+        "NonUnitalStarSubalgebra.coe_centralizer",
+        "LocalEquiv.prod_target",
+        "Set.preimage_comp_eq",
+        "LinearPMap.map_smul",
+        "Set.biUnion_lt_succ",
+        "Antivary.antivaryOn",
+        "convex_Ioi",
+        "Int.eq_of_mul_eq_one",
+        "Setoid.mkClasses_classes",
+        "Nat.recDiagAux_succ_succ",
+        "WithTop.coe_mono",
+        "Function.update_inv",
+        "Set.Icc_union_Ico_eq_Ico",
+        "balanced_iInter",
+        "FirstOrder.Language.BoundedFormula.realize_rel",
+        "Set.biInter_eq_iInter",
+        "Set.Icc.coe_pow",
+        "Int.covby_iff_succ_eq",
+        "FreeLieAlgebra.liftAux_map_mul",
+        "Con.comap_rel",
+        "Equiv.emptySum_apply_inr",
+        "hasBasis_nhdsSet_Ici_Ioi",
+        "Set.image_mulSingle_Ioc_left",
+        "LocalEquiv.prod_source",
+        "isTotallySeparated_singleton",
+        "Filter.tendsto_atTop_add_nonneg_right",
+        "QuasiconcaveOn.inf",
+        "isOpenMap_ofDual",
+        "finprod_false",
+        "Subsemigroup.coe_bot",
+        "bihimp_right_surjective",
+        "PrimeSpectrum.comap_singleton_isClosed_of_isIntegral",
+        "Finset.insert_subset_insert",
+        "MeasureTheory.aestronglyMeasurable_one",
+        "Subring.pointwise_smul_subset_iff",
+        "IsOpenMap.nhds_le",
+        "Set.nontrivial_iff_exists_lt",
+        "Monotone.Ici",
+        "RingHom.congr_fun",
+        "iInf_mono",
+        "PerfectionMap.hom_ext",
+        "Set.wellFoundedOn_singleton",
+        "coe_mul_unitClosedBall",
+        "upperClosure_empty",
+        "BoundedContinuousFunction.dist_mkOfCompact",
+        "CategoryTheory.Groupoid.isIsomorphic_iff_nonempty_hom",
+        "OpenEmbedding.comp",
+        "LinearEquiv.ofLinear_symm_apply",
+        "himp_le_himp_right",
+        "LipschitzWith.ae_differentiableAt_real",
+        "forall_of_ball",
+        "ContinuousLinearMap.adjointAux_apply",
+        "Set.isSimpleOrder_Iic_iff_isAtom",
+        "SetTheory.PGame.leftMoves_add",
+        "Function.not_lt_argmin",
+        "isLeast_univ",
+        "MeasureTheory.Adapted.progMeasurable_of_discrete",
+        "WellFounded.rank_lt_of_rel",
+        "Finset.erase_mem_shadow",
+        "Subalgebra.mem_centralizer_iff",
+        "Filter.le_vsub_iff",
+        "Set.Ioc.coe_pow",
+        "CategoryTheory.Monoidal.rightUnitor_inv_app",
+        "AddMonoidHom.mul_apply",
+        "AlgebraicGeometry.PresheafedSpace.stalkMap_germ'",
+        "ContinuousLinearEquiv.equivOfInverse_apply",
+        "CategoryTheory.yonedaEquiv_apply",
+        "Or.symm",
+        "ContDiff.restrict_scalars",
+        "Ordinal.nat_cast_pos",
+        "QuaternionAlgebra.nat_cast_re",
+        "PartitionOfUnity.le_one",
+        "LocalHomeomorph.image_open_of_open'",
+        "MonoidHomClass.continuous_of_bound",
+        "antitone_const",
+        "tsum_mul_tsum",
+        "Polynomial.degree_one",
+        "Zsqrtd.coe_int_sub",
+        "MeasureTheory.Measure.MutuallySingular.smul_nnreal",
+        "compl_singleton_mem_nhds_iff",
+        "DualNumber.snd_eps",
+        "FixedPoints.minpoly_eq_minpoly",
+        "Ordnode.Valid.merge",
+        "Set.mapsTo_empty",
+        "Set.EqOn.comp_right",
+        "Option.map_id''",
+        "MeasureTheory.measure_mono_null",
+        "MonoidHom.map_finprod_of_injective",
+        "Set.Ioc.coe_mul",
+        "tendsto_ceil_left_pure_ceil",
+        "CliffordAlgebra.\u03b9_comp_lift",
+        "lineMap_le_left_iff_le",
+        "Set.iInter_comm",
+        "Associates.out_injective",
+        "ContinuousLinearMap.op_norm_le_of_shell",
+        "PLift.up_surjective",
+        "SetTheory.Game.PGame.equiv_iff_game_eq",
+        "Set.mk_preimage_sigma_eq_empty",
+        "Dense.exists_lt",
+        "ContDiffAt.inversion",
+        "TypeVec.dropFun_appendFun",
+        "Set.image2_vsub",
+        "zpow_lt_zpow",
+        "MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos'",
+        "nndist_lineMap_right",
+        "Action.sum_hom",
+        "Rack.op_act_op_eq"
+    ]
+}

random/train.json

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random/train_formal_informal.json

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random/val_formal_informal_metadata.json

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+{
+    "total_valid_proofs": 2000,
+    "total_no_tactics": 980,
+    "deliminter": "**",
+    "no_tactics": [
+        "PrimeSpectrum.zeroLocus_union",
+        "Multiset.toDFinsupp_inj",
+        "NNRat.coe_le_coe",
+        "Int.floor_lt",
+        "AlgEquiv.toLieEquiv_apply",
+        "Antitone.directed_le",
+        "Differentiable.clm_comp",
+        "MeasureTheory.AEEqFun.coeFn_div",
+        "Int.two_dvd_ne_zero",
+        "imp_imp_imp",
+        "AnalyticAt.neg",
+        "LocalHomeomorph.nhdsWithin_target_inter",
+        "Measurable.sinh",
+        "HomologicalComplex.id_f",
+        "Finsupp.lex_def",
+        "LocalHomeomorph.restr_trans",
+        "FreeMonoid.smul_def",
+        "AddEquiv.coe_toLinearEquiv",
+        "contMDiffWithinAt_univ",
+        "LinearMap.comp_smul",
+        "ContMDiff.comp_contMDiffOn",
+        "StarSubalgebra.coe_sInf",
+        "RingEquiv.coe_monoidHom_trans",
+        "Part.mod_def",
+        "BoxIntegral.TaggedPrepartition.distortion_disjUnion",
+        "Set.Iic_bot",
+        "Finset.weightedVSub_const_smul",
+        "CompositionSeries.coe_append",
+        "Subgroup.comap_le_comap_of_surjective",
+        "FiberBundleCore.localTrivAsLocalEquiv_coe",
+        "WithBot.some_eq_coe",
+        "UpperHalfPlane.continuous_coe",
+        "OrderMonoidHom.coe_mul",
+        "Continuous.restrictPreimage",
+        "Set.sups_nonempty",
+        "LinearIsometryEquiv.coe_refl",
+        "SemidirectProduct.inl_inj",
+        "ContinuousOn.fin_insertNth",
+        "LinearMap.isIntegral",
+        "IsTop.Iic_eq",
+        "LocalHomeomorph.injOn",
+        "Sum.Ioc_inl_inl",
+        "Int.ofNat_div",
+        "Order.pred_le",
+        "equivalence_of_manyOneEquiv",
+        "HahnSeries.single_ne_zero",
+        "Matrix.vec_single_eq_const",
+        "Commute.symm",
+        "EuclideanGeometry.concyclic_pair",
+        "Matrix.updateColumn_ne",
+        "AddCommGroup.ModEq.sub_left",
+        "QuotientAddGroup.equivIcoMod_coe",
+        "List.set_nil",
+        "List.disjoint_of_subset_left",
+        "ProbabilityTheory.indepSets_of_indepSets_of_le_left",
+        "Subsingleton.eq_univ_of_nonempty",
+        "mdifferentiable_const",
+        "Subtype.mk_lt_mk",
+        "Option.none_orElse",
+        "sInf_image2_eq_sSup_sSup",
+        "NFA.eval_append_singleton",
+        "lowerSemicontinuous_ciSup",
+        "symm_trans_mem_contDiffGroupoid",
+        "intervalIntegral.integral_nonneg",
+        "PrimeSpectrum.zeroLocus_singleton_one",
+        "Set.Ioc_eq_empty_of_le",
+        "ContinuousAlternatingMap.toContinuousMultilinearMap_add",
+        "Real.continuousOn_exp",
+        "ONote.NF.snd",
+        "Vector.replicate_succ",
+        "List.exists_of_length_succ",
+        "isMaxOn_const",
+        "Set.ssubset_of_ssubset_of_subset",
+        "SetTheory.PGame.le_of_le_of_equiv",
+        "Matrix.isDiag_zero",
+        "CategoryTheory.Limits.pushout.condition",
+        "Set.infs_sups_subset_left",
+        "AlgebraicGeometry.StructureSheaf.stalkToFiberRingHom_germ'",
+        "AntitoneOn.map_bddAbove",
+        "CategoryTheory.Idempotents.karoubiUniversal_functor_eq",
+        "RingEquiv.prodProdProdComm_toAddEquiv",
+        "IsSimpleModule.congr",
+        "IsLinearMap.convexHull_image",
+        "BoxIntegral.Prepartition.not_mem_bot",
+        "AffineSubspace.SSameSide.trans",
+        "Set.mulIndicator_empty'",
+        "Polynomial.Monic.irreducible_of_degree_eq_one",
+        "Std.RBNode.find?_some_memP",
+        "MeasureTheory.Measure.measurable_bind'",
+        "NonUnitalStarAlgHom.range_comp_le_range",
+        "Fin.insertNth_sub",
+        "LinearMap.quotKerEquivRange_apply_mk",
+        "MeasureTheory.restrict_Ioo_eq_restrict_Ico",
+        "DomMulAct.mk_smul_addMonoidHom_apply",
+        "Ring.lie_def",
+        "IsBot.mono",
+        "Submodule.restrictScalars_injective",
+        "Multiset.subset_iff",
+        "Embedding.t3Space",
+        "Nat.dvd_sub_mod",
+        "Finset.card_mul_eq_card_mul",
+        "IsLeftRegular.right_of_commute",
+        "QuaternionAlgebra.coe_nat_cast",
+        "EuclideanGeometry.orthogonalProjection_mem_orthogonal",
+        "Ordinal.sup_le",
+        "ProbabilityTheory.kernel.indepSets_of_indepSets_of_le_left",
+        "Option.iget_mem",
+        "zpow_bit0_pos",
+        "QuotientGroup.map_id",
+        "isCompact_accumulate",
+        "IsometryEquiv.mulLeft_symm",
+        "CircleDeg1Lift.translationNumber_le_ceil_sub",
+        "NonUnitalAlgebra.mem_top",
+        "MeasurableEquiv.restrict_map",
+        "Lean.Elab.Command.$n_def",
+        "Localization.mk_eq_mk_iff",
+        "Filter.tendsto_iInf'",
+        "Submonoid.subset_closure",
+        "minimals_inter_subset",
+        "equivalence_of_oneOneEquiv",
+        "String.next_of_valid",
+        "CategoryTheory.Presieve.bind_comp",
+        "Int.negSucc_mul_ofNat",
+        "Hyperreal.infiniteNeg_mul_of_not_infinitesimal_neg_infinitePos",
+        "Metric.closure_sphere",
+        "SameRay.nonneg_smul_left",
+        "MonoidHom.coe_comp",
+        "MulAction.card_eq_sum_card_group_div_card_stabilizer",
+        "CategoryTheory.Limits.mono_of_isLimit_fork",
+        "List.maximum_eq_none",
+        "ENat.one_le_iff_pos",
+        "List.getI_append_right",
+        "Polynomial.isRoot_of_aeval_algebraMap_eq_zero",
+        "Set.einfsep_pair_eq_inf",
+        "CategoryTheory.Limits.Types.Limit.map_\u03c0_apply'",
+        "CategoryTheory.Monad.leftAdjoint_forget",
+        "reflection_inv",
+        "Continuous.comp_aestronglyMeasurable",
+        "MeasurableSpace.isPiSystem_measurableSet",
+        "Thunk.prod_get_snd",
+        "CategoryTheory.sum.inverseAssociator_obj_inl",
+        "WithOne.cases_on",
+        "IsCompl.inf_sup",
+        "SimpleGraph.ConnectedComponent.connectedComponentMk_mem",
+        "HasStrictFDerivAt.exists_lipschitzOnWith",
+        "Submodule.closure_le_toAddSubmonoid_span",
+        "Order.Ideal.IsProper.ne_top",
+        "Continuous.if",
+        "Matrix.circulant_add",
+        "prod_finprod_comm",
+        "UpperSet.compl_le_compl",
+        "StrictMono.coe_orderIsoOfSurjective",
+        "Num.toZNumNeg_succ",
+        "RingHom.finite_iff_isIntegral_and_finiteType",
+        "Dilation.ext",
+        "Quaternion.mul_star_eq_coe",
+        "LatticeHom.cancel_right",
+        "DFinsupp.subtypeDomain_zero",
+        "Set.Ico_eq_empty",
+        "Int.natAbs_ne_zero_of_ne_zero",
+        "Matrix.blockDiagonal_inj",
+        "Polynomial.mod_def",
+        "IsROrC.ofReal_ofNat",
+        "Finset.insert_val",
+        "OpenEmbedding.continuous",
+        "Ideal.map_comap_le",
+        "Finset.Nat.antidiagonalTuple_two",
+        "ManyOneEquiv.congr_right",
+        "Equiv.Perm.sign_trans_trans_symm",
+        "CategoryTheory.section_comp_right",
+        "AlgebraicGeometry.IsOpenImmersion.to_iso",
+        "BilinForm.toMatrixAux_apply",
+        "Nat.ArithmeticFunction.one_one",
+        "Set.WellFoundedOn.mono'",
+        "Matrix.TransvectionStruct.det",
+        "NNReal.zero_rpow",
+        "ContinuousLinearEquiv.map_add",
+        "ProbabilityTheory.IdentDistrib.const_mul",
+        "Complex.not_le_zero_iff",
+        "MeasureTheory.AEStronglyMeasurable.mem\u2112p_truncation",
+        "uniformity_basis_edist_nnreal_le",
+        "SetTheory.PGame.add_right_neg_equiv",
+        "SimpleGraph.sum_degrees_eq_twice_card_edges",
+        "CategoryTheory.Limits.HasImage.of_arrow_iso",
+        "Mathlib.Meta.Positivity.mul_nonneg_of_nonneg_of_pos",
+        "AddEquiv.mapMatrix_symm",
+        "powersMulHom_apply",
+        "Equiv.Perm.IsCycle.zpowersEquivSupport_apply",
+        "Set.mem_insert_iff",
+        "Matrix.eq_zero_of_forall_pow_sum_mul_pow_eq_zero",
+        "ZFSet.mem_sUnion",
+        "MeasureTheory.AECover.integral_eq_of_tendsto_of_nonneg_ae",
+        "Matrix.kroneckerTMul_zero",
+        "TopologicalSpace.subset_trans",
+        "Set.image_add_const_Ioo",
+        "OrderMonoidHom.comp_mul",
+        "exists_unique_iff_exists",
+        "Filter.map_smul",
+        "Hausdorffification.induction_on",
+        "Stream'.map_eq_apply",
+        "Submonoid.inv_bot",
+        "MulOpposite.unop_add",
+        "Turing.PartrecToTM2.trNat_natEnd",
+        "Primrec.succ",
+        "one_sub_div",
+        "iSup_ite",
+        "Matrix.kronecker_one",
+        "Ideal.coeff_zero_mem_comap_of_root_mem",
+        "List.findSome?_cons",
+        "ContinuousLinearMap.hasFDerivAt_of_bilinear",
+        "Rat.ofNat_num",
+        "LinearMap.toContinuousLinearMap\u2081_coe",
+        "Module.End.generalizedEigenspace_le_generalizedEigenspace_finrank",
+        "Setoid.finite_classes_ker",
+        "Collinear.finiteDimensional_direction_affineSpan",
+        "EMetric.preimage_mul_left_ball",
+        "ConjAct.forall",
+        "isSeparable_tower_top_of_isSeparable",
+        "Metric.isBounded_range_of_tendsto_cofinite",
+        "LieModule.coe_linearMap_maxTrivLinearMapEquivLieModuleHom_symm",
+        "Summable.op",
+        "RingHom.congr_arg",
+        "IsGLB.mem_of_isClosed",
+        "continuous_nnnorm'",
+        "Polynomial.derivative_add",
+        "ne_iff_lt_iff_le",
+        "Balanced.union",
+        "hasMFDerivWithinAt_extChartAt",
+        "MvPolynomial.support_sum_monomial_coeff",
+        "Filter.top_mul_top",
+        "ContinuousLinearMap.op_norm_le_of_nhds_zero",
+        "IndexedPartition.exists_mem",
+        "lowerBounds_upperClosure",
+        "MeasureTheory.OuterMeasure.map_iInf_le",
+        "ContinuousMap.Homotopic.prodMk",
+        "Matrix.mul_mul_left",
+        "EuclideanGeometry.oangle_rev",
+        "LucasLehmer.norm_num_ext.isNat_not_lucasLehmerTest",
+        "PEquiv.trans_assoc",
+        "Module.Ray.ind",
+        "CategoryTheory.Limits.MultispanIndex.multispan_map_snd",
+        "Finset.card_powerset",
+        "one_lt_pow_iff",
+        "finite_iff_nonempty_fintype",
+        "FiniteField.card'",
+        "Metric.continuous_infNndist_pt",
+        "RingEquiv.sofLeftInverse'_apply",
+        "LieHom.zero_apply",
+        "Subgroup.IsComplement'.disjoint",
+        "IsROrC.conjCle_apply",
+        "FractionalIdeal.coeToSet_coeToSubmodule",
+        "TrivSqZeroExt.snd_neg",
+        "QuadraticForm.coeFn_neg",
+        "Finset.Icc_subset_Ioc_iff",
+        "MeasureTheory.Integrable.lintegral_lt_top",
+        "Submodule.eq_top_iff'",
+        "BoundedOrderHom.coe_comp_orderHom",
+        "AlternatingMap.map_zero",
+        "isClosedMap_ofDual",
+        "InitialSeg.Antisymm.aux",
+        "Function.invFunOn_eq",
+        "IntermediateField.adjoin_nat",
+        "Polynomial.cyclotomic'_ne_zero",
+        "MeasureTheory.SimpleFunc.coe_const",
+        "Function.onFun_apply",
+        "Finsupp.total_id_surjective",
+        "CategoryTheory.Functor.mapPresheaf_obj_presheaf",
+        "antivaryOn_id_iff",
+        "Derivation.mk_coe",
+        "Set.Nonempty.vsub",
+        "MeasureTheory.BorelCantelli.integrable_process",
+        "RingHom.map_add",
+        "ProbabilityTheory.iIndepFun.indepFun_finset_prod_of_not_mem",
+        "LinearMap.splittingOfFunOnFintypeSurjective_injective",
+        "Subsemiring.coe_add",
+        "isOpenMap_snd",
+        "toMul_sum",
+        "PrimeSpectrum.zeroLocus_radical",
+        "PhragmenLindelof.eqOn_quadrant_I",
+        "IsSimpleOrder.eq_bot_of_lt",
+        "AlgHom.ext_of_adjoin_eq_top",
+        "Mathlib.Meta.Positivity.nnreal_coe_pos",
+        "Submodule.inner_right_of_mem_orthogonal",
+        "ProbabilityTheory.IndepSets.inter",
+        "AffineIsometryEquiv.dist_map",
+        "FreeMonoid.toList_symm",
+        "Subsemigroup.mem_top",
+        "inv_lt_one_of_one_lt",
+        "LowerSemicontinuous.measurable",
+        "Perfection.hom_ext",
+        "isUnit_iff_forall_dvd",
+        "FirstOrder.Language.age.hereditary",
+        "Cardinal.power_zero",
+        "Continuous.dist",
+        "Submodule.span_span",
+        "EReal.bot_sub",
+        "Continuous.smul",
+        "RingEquiv.ofLeftInverse_symm_apply",
+        "Real.arsinh_inj",
+        "Finset.EquitableOn.le_add_one",
+        "Function.Commute.iterate_iterate_self",
+        "OnePoint.infty_mem_opensOfCompl",
+        "Nat.fib_bit0_succ",
+        "NNReal.coe_zero",
+        "Matrix.zero_empty",
+        "ModuleCat.MonoidalCategory.hom_apply",
+        "CauSeq.add_apply",
+        "Finset.isLeast_min'",
+        "Tropical.injective_untrop",
+        "LinearEquiv.ofEq_symm",
+        "connectedComponents_lift_unique'",
+        "holderWith_one",
+        "Set.prod_self_ssubset_prod_self",
+        "ConvexCone.mem_closure",
+        "SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod",
+        "indicator_ae_eq_restrict",
+        "AlternatingMap.coe_domDomCongr",
+        "Set.range_restrict",
+        "ENNReal.nhdsWithin_Ioi_coe_neBot",
+        "Int.one_le_abs",
+        "HomotopyCategory.quotient_obj_as",
+        "ValuationSubring.mem_pointwise_smul_iff_inv_smul_mem",
+        "OneOneEquiv.le_congr_left",
+        "Submodule.complete_of_finiteDimensional",
+        "Function.Embedding.coe_quotientOut",
+        "smoothOn_pi_space",
+        "TrivSqZeroExt.continuous_snd",
+        "MeasureTheory.tendstoInMeasure_of_tendsto_Lp",
+        "Set.bijective_iff_bijOn_univ",
+        "NonUnitalRingHom.coe_mul",
+        "Finset.max_le",
+        "isGreatest_Ioc",
+        "SmoothBumpFunction.tsupport_subset_extChartAt_source",
+        "Ordinal.type_preimage",
+        "ContinuousOn.const_smul",
+        "Polynomial.map_multiset_prod",
+        "Function.mulSupport_max",
+        "MeasureTheory.Integrable.congr'",
+        "BoxIntegral.Box.ne_of_disjoint_coe",
+        "MeasureTheory.IsFundamentalDomain.restrict_restrict",
+        "Homeomorph.continuousMapOfUnique_apply",
+        "IsLocalization.surj",
+        "Finsupp.sub_single_one_add",
+        "Finset.union_subset_union_left",
+        "Hamming.ofHamming_neg",
+        "factorial_tendsto_atTop",
+        "Submodule.coe_inner",
+        "CategoryTheory.op_tensorObj",
+        "RingHom.map_iterate_frobenius",
+        "DenseEmbedding.mk'",
+        "Dilation.tendsto_nhds_iff",
+        "BoxIntegral.Box.measurableSet_Icc",
+        "Codisjoint.eq_top",
+        "AlgebraicTopology.DoldKan.PInfty_f_0",
+        "div_lt_div_right'",
+        "HasFDerivAt.norm_sq",
+        "Filter.tendsto_iff_forall_eventually_mem",
+        "Sum.inl_le_inl_iff",
+        "swap_comp_bipointedToPointedSnd",
+        "and_iff_left_iff_imp",
+        "closure_smul",
+        "Ideal.mul_le",
+        "eventually_norm_pow_le",
+        "NonUnitalSubring.closure_univ",
+        "Subalgebra.centralizer_le",
+        "AffineMap.lineMap_apply_module'",
+        "FirstOrder.Language.Formula.realize_inf",
+        "CategoryTheory.AdditiveFunctor.ofLeftExact_map",
+        "Nat.lt_succ_of_lt",
+        "Set.eval_image_univ_pi",
+        "Nat.gcd_gcd_self_right_left",
+        "CategoryTheory.Limits.span_map_fst",
+        "List.mem_of_mem_erase",
+        "PowerSeries.map_id",
+        "IsPrimePow.two_le",
+        "Wcovby.snd",
+        "MultilinearMap.map_smul",
+        "IsExposed.isCompact",
+        "MeasureTheory.snormEssSup_const_smul_le",
+        "Balanced.smul_eq",
+        "Coheyting.boundary_bot",
+        "SimpleGraph.Walk.isPath_def",
+        "UpperHalfPlane.im_pos",
+        "Matrix.fromBlocks_apply\u2081\u2082",
+        "continuousAt_star",
+        "Matrix.blockDiag'_smul",
+        "IsROrC.ofReal_re",
+        "Prod.fst_toSigma",
+        "Submodule.carrier_inj",
+        "min_left_commutative",
+        "CategoryTheory.IsPullback.of_hasBinaryProduct'",
+        "LinearEquiv.symm_conj_apply",
+        "LinearEquiv.ofSubmodule'_apply",
+        "Ordnode.Valid'.of_lt",
+        "CategoryTheory.Limits.limLax_obj'",
+        "List.card_nil",
+        "IsSepClosed.exists_aeval_eq_zero",
+        "CategoryTheory.IsPushout.of_isColimit'",
+        "GroupNorm.sup_apply",
+        "MulOpposite.op_add",
+        "SpectralMap.comp_id",
+        "Primrec.nat_rec\u2081",
+        "ENNReal.inv_lt_inv'",
+        "Con.lift_surjective_of_surjective",
+        "NonUnitalSubalgebra.coe_prod",
+        "continuousWithinAt_left_of_monotoneOn_of_exists_between",
+        "Stream'.head_zip",
+        "Equiv.Perm.card_cycleType_pos",
+        "Metric.ball_infDist_compl_subset",
+        "Set.countable_iff_exists_injective",
+        "Asymptotics.isLittleO_abs_right",
+        "measurable_from_top",
+        "SimpleGraph.ConnectedComponent.exact",
+        "Ordinal.toPGame_injective",
+        "derivWithin_mul_const",
+        "ApproximatesLinearOn.closedBall_subset_target",
+        "Hamming.nnnorm_eq_hammingNorm",
+        "Polynomial.commute_X",
+        "Option.mem_def",
+        "fderiv_clm_comp",
+        "gal_mul_isSolvable",
+        "Quiver.symmetrify_reverse",
+        "Real.openEmbedding_exp",
+        "Submodule.iSup_mul",
+        "contMDiffOn_extChartAt",
+        "FractionalIdeal.coeIdeal_bot",
+        "Ordinal.nadd_le_nadd_iff_left",
+        "ContDiffAt.contDiffBump",
+        "WithTop.coe_untop'_le",
+        "Filter.le_map\u2082_iff",
+        "nndist_triangle_left",
+        "MonotoneOn.set_prod",
+        "hasBinaryProducts_of_hasTerminal_and_pullbacks",
+        "has_deriv_within_taylorWithinEval_at_Icc",
+        "List.destutter_nil",
+        "RingEquiv.restrictRootsOfUnity_symm",
+        "Sum.getLeft_inl",
+        "MeasureTheory.AEEqFun.coeFn_compMeasurePreserving",
+        "AlgebraicTopology.DoldKan.PInfty_f",
+        "DirectSum.decompose_add",
+        "IntermediateField.inf_toSubfield",
+        "le_imp_le_of_lt_imp_lt",
+        "BilinForm.isRefl_neg",
+        "WithOne.coe_unone",
+        "Polynomial.constantCoeff_coe",
+        "true_imp_iff",
+        "NonUnitalSubsemiring.coe_mul",
+        "WithOne.coe_mul",
+        "Ne.ne_or_ne",
+        "Subalgebra.pointwise_smul_toSubsemiring",
+        "measurableSet_closedBall",
+        "Set.union_star",
+        "Ordinal.bsup_lt_ord_lift",
+        "Filter.Frequently.mem_of_closed",
+        "Matrix.diagonal_kronecker",
+        "intervalIntegral.integral_hasDerivWithinAt_right",
+        "t1Space_iff_disjoint_pure_nhds",
+        "Fin.induction_zero",
+        "DirectSum.of_zero_smul",
+        "mul_inf",
+        "Set.Nonempty.of_infs_right",
+        "StarAlgHom.copy_eq",
+        "ContinuousOn.continuousAt",
+        "bddAbove_singleton",
+        "PrincipalSeg.codRestrict_top",
+        "CliffordAlgebra.changeForm_comp_changeForm",
+        "Turing.Tape.mk'_right",
+        "Hyperreal.coe_ofNat",
+        "Complex.continuousOn_sin",
+        "MeasureTheory.ProbabilityMeasure.toWeakDualBCNN_continuous",
+        "isUnit_exp_of_mem_ball",
+        "Nonneg.coe_add",
+        "CauSeq.const_pos",
+        "QuadraticForm.Equivalent.prod",
+        "Asymptotics.IsBigO.mono",
+        "DomMulAct.smul_monoidHom_apply",
+        "Subsemiring.coe_one",
+        "ContinuousLinearMap.le_of_op_norm\u2082_le_of_le",
+        "mapsTo_extChartAt",
+        "Set.iUnion_unpair",
+        "Con.inf_def",
+        "Matrix.UnitaryGroup.coe_toGL",
+        "Set.sUnion_subset_sUnion",
+        "MeasureTheory.Martingale.supermartingale",
+        "Encodable.decode_nat",
+        "ULiftable.up_down",
+        "Filter.Iio_mem_atBot",
+        "ContDiffAt.comp",
+        "Function.id_def",
+        "Matrix.toBilin'_toMatrix'",
+        "Multiset.mem_dedup",
+        "Hyperreal.infinitePos_iff_infinite_and_pos",
+        "CategoryTheory.nonempty_isLeftAdjoint_iff_hasTerminal_costructuredArrow",
+        "LocalHomeomorph.trans_source",
+        "TypeVec.appendFun_inj",
+        "Metric.self_subset_thickening",
+        "Polynomial.mem_map_range",
+        "NonUnitalSubsemiring.mem_center_iff",
+        "add_tsub_cancel_iff_le",
+        "Filter.EventuallyEq.rfl",
+        "MeasureTheory.Measure.Subtype.volume_def",
+        "Function.Surjective.forall\u2083",
+        "FiniteField.X_pow_card_pow_sub_X_ne_zero",
+        "exists_nhds_one_split",
+        "Set.nonempty_Ioo",
+        "FundamentalGroupoidFunctor.coneDiscreteComp_obj_mapCone",
+        "Nat.choose_mono",
+        "Dilation.coe_mk",
+        "FractionalIdeal.mul_right_strictMono",
+        "isAtomic_iff_isCoatomic",
+        "Antitone.map_sInf_of_continuousAt'",
+        "ContinuousLinearMap.extendTo\ud835\udd5c'_apply",
+        "Primrec\u2082.encode_iff",
+        "CategoryTheory.Sieve.pushforward_apply_comp",
+        "LinearMap.coe_mul",
+        "IsROrC.normSq_one",
+        "Vector.empty_toList_eq_ff",
+        "String.isEmpty_iff",
+        "Subring.pointwise_smul_def",
+        "AlgebraicTopology.DoldKan.PInfty_f_naturality",
+        "Function.surjective_eval",
+        "MeasureTheory.L1.SimpleFunc.setToL1SCLM_nonneg",
+        "map_mk_unit_aux",
+        "ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun''",
+        "quotientMap_iff",
+        "HasStrictDerivAt.sqrt",
+        "MulAction.exists_smul_eq",
+        "card_sylow_eq_card_quotient_normalizer",
+        "Asymptotics.IsBigOWith.exists_pos",
+        "ConvexBody.coe_smul",
+        "NormedAddGroupHom.coe_inj_iff",
+        "LieHom.rangeRestrict_apply",
+        "LinearMap.ker_fst",
+        "Subfield.mk_le_mk",
+        "MeasureTheory.set_integral_congr\u2080",
+        "CategoryTheory.Limits.WidePullbackShape.hom_id",
+        "TopologicalSpace.gc_generateFrom",
+        "List.Disjoint.symm",
+        "csInf_le_csInf",
+        "IsTotal.swap",
+        "BilinForm.toQuadraticForm_apply",
+        "mul_le_one",
+        "fixingSubmonoid_fixedPoints_gc",
+        "Equiv.permCongr_apply",
+        "ENNReal.coe_one",
+        "CategoryTheory.Subobject.lift_mk",
+        "Std.RBNode.WF.depth_bound",
+        "Path.extend_range",
+        "Computation.terminates_map_iff",
+        "OrderMonoidWithZeroHom.coe_id",
+        "Set.inter_vsub_union_subset_union",
+        "Encodable.encode_prod_val",
+        "lcm_assoc",
+        "ConvexCone.comap_comap",
+        "CategoryTheory.Abelian.image.fac",
+        "LocalHomeomorph.MDifferentiable.ker_mfderiv_eq_bot",
+        "ContinuousMap.smul_apply",
+        "LineDifferentiableAt.lineDifferentiableWithinAt",
+        "IsSepClosed.splits_domain",
+        "IntermediateField.adjoin.finiteDimensional",
+        "NonUnitalSubsemiring.centralizer_univ",
+        "DifferentiableOn.ccos",
+        "IsPreconnected.intermediate_value_Ici",
+        "Interval.coe_inj",
+        "mem_extremePoints",
+        "EMetric.diam_ball",
+        "sInfHom.cancel_right",
+        "Finset.sdiff_union_self_eq_union",
+        "IsCompact.nonempty_iInter_of_sequence_nonempty_compact_closed",
+        "LinearEquiv.mapMatrix_trans",
+        "Antitone.mul",
+        "Complex.UnitDisc.abs_ne_one",
+        "ContMDiffAt.of_le",
+        "Measurable.mul'",
+        "sdiff_le'",
+        "IsAntichain.maximals_lowerClosure",
+        "HahnSeries.neg_coeff",
+        "LieHom.map_lie",
+        "polynomialFunctions.starClosure_topologicalClosure",
+        "CompactExhaustion.isClosed",
+        "AlgebraicGeometry.locallyOfFiniteType_respectsIso",
+        "RingTopology.coinduced_continuous",
+        "Computable.list_reverse",
+        "MeasureTheory.Measure.countable_meas_pos_of_disjoint_of_meas_iUnion_ne_top",
+        "Computation.eq_thinkN'",
+        "BilinForm.isSymm_zero",
+        "DFA.eval_singleton",
+        "AlgebraicGeometry.LocallyRingedSpace.\u0393_obj",
+        "IsLocalExtr.congr",
+        "LucasLehmer.mersenne_int_ne_zero",
+        "CategoryTheory.Limits.wideCoequalizer.\u03c0_desc",
+        "MulOpposite.op_comp_unop",
+        "MeasureTheory.JordanDecomposition.real_smul_nonneg",
+        "Multiset.inf_mono",
+        "IntermediateField.val_mk",
+        "Subsemiring.smul_mem_pointwise_smul_iff\u2080",
+        "AffineSubspace.sSameSide_smul_vsub_vadd_right",
+        "Matrix.smul_of",
+        "AffineBasis.card_eq_finrank_add_one",
+        "NonUnitalStarAlgHom.inr_apply",
+        "CategoryTheory.Limits.WalkingPair.swap_symm_apply_ff",
+        "Stream'.WSeq.of_mem_append",
+        "IsUnit.unit_spec",
+        "Filter.le_lift",
+        "ProbabilityTheory.iIndepFun.mul",
+        "Algebra.TensorProduct.assoc_toLinearEquiv",
+        "nhds_ofMul",
+        "Set.Ioi_inter_Iio",
+        "LinearEquiv.ext",
+        "IsFreeGroup.lift'_eq_freeGroup_lift",
+        "PowerSeries.evalNegHom_X",
+        "Subgroup.one_lt_card_iff_ne_bot",
+        "Set.image_image2_right_comm",
+        "Set.Finite.isPwo",
+        "FreeMonoid.toList_of_mul",
+        "CategoryTheory.Limits.initialMonoClass_of_disjoint_coproducts",
+        "Set.Icc_subset_Ici_self",
+        "ENNReal.toReal_le_of_le_ofReal",
+        "CategoryTheory.Functor.sum_map_inl",
+        "Lists'.Subset.trans",
+        "image_le_of_deriv_right_le_deriv_boundary",
+        "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpace_toPresheafedSpace",
+        "BilinForm.Nondegenerate.toMatrix'",
+        "MulHom.id_comp",
+        "toIcoMod_mem_Ico",
+        "IsLocallyConstant.eq_const",
+        "Iff.to_eq",
+        "IsROrC.ofRealClm_apply",
+        "NonUnitalAlgebra.adjoin_induction",
+        "MeasureTheory.integral_Iic_eq_integral_Iio",
+        "Equiv.Perm.smul_def",
+        "Set.Nonempty.left",
+        "Quot.congr_mk",
+        "LinearMap.toMatrixAlgEquiv'_symm",
+        "Filter.HasBasis.inf",
+        "CauSeq.Completion.mk_pow",
+        "IsIdempotentElem.coe_zero",
+        "iSup_mono'",
+        "MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable",
+        "String.next'_eq",
+        "antitone_vecCons",
+        "Finset.inter_val",
+        "EMetric.cauchySeq_iff_NNReal",
+        "Complex.mem_reProdIm",
+        "Submodule.span_eq_of_le",
+        "GaloisConnection.u_inf",
+        "NonUnitalSubring.sInf_toSubsemigroup",
+        "AddMonoidAlgebra.single_mul_apply_of_not_exists_add",
+        "Vector.toList_injective",
+        "LinearIsometry.map_neg",
+        "IsometryEquiv.dist_eq",
+        "IsLocalization.mk'_eq_iff_eq'",
+        "AddMonoidAlgebra.supDegree_add_le",
+        "MeasureTheory.Measure.restrict_restrict",
+        "SupHom.comp_apply",
+        "mul_lt_mul_left",
+        "Mathlib.Tactic.LinearCombination.c_mul_pf",
+        "Nat.lt_pow_iff_log_lt",
+        "SetTheory.PGame.sub_congr",
+        "Basis.coe_algebraMapCoeffs",
+        "Set.iUnion_mul_right_image",
+        "CategoryTheory.isoWhiskerRight_inv",
+        "Cardinal.ord_card_unbounded'",
+        "Finset.card_powersetCard",
+        "deriv_ne_zero",
+        "ContinuousAt.preimage_mem_nhds",
+        "Equiv.Perm.sumCongr_mul",
+        "CategoryTheory.GrothendieckTopology.pullback_stable",
+        "ContinuousLinearMap.continuous",
+        "WithTop.succ_coe",
+        "MeasureTheory.SimpleFunc.lintegral_zero",
+        "CategoryTheory.endofunctorMonoidalCategory_tensorUnit_obj",
+        "Multiset.zero_bind",
+        "Set.OrdConnected.preimage_coe_nnreal_real",
+        "MultilinearMap.uncurrySum_aux_apply",
+        "TopologicalSpace.Opens.mk_univ",
+        "sq_pos_of_ne_zero",
+        "LinearMap.compl\u2081\u2082_apply",
+        "Int.castRingHom_int",
+        "or_iff_left",
+        "Hyperreal.IsSt.le",
+        "StrictAntiOn.le_iff_le",
+        "Int.ofNat_add_one_out",
+        "Polynomial.map_monic_ne_zero",
+        "Std.RBSet.find?_some_mem",
+        "MonoidHom.transferSylow_eq_pow",
+        "Nat.ceil_le",
+        "Finsupp.toMultiset_toFinsupp",
+        "Complex.abs_sub_eq",
+        "LinearMap.toMatrix_apply'",
+        "Asymptotics.IsBigO.congr_right",
+        "StrictMonoOn.continuousWithinAt_right_of_surjOn",
+        "Real.tan_arctan",
+        "Set.infs_infs_infs_comm",
+        "not_isCoprime_zero_zero",
+        "Pell.yn_ge_n",
+        "Submonoid.LocalizationMap.AwayMap.lift_comp",
+        "MvPolynomial.esymm_eq_sum_subtype",
+        "measurable_infNndist",
+        "Pi.lex_eq_finsupp_lex",
+        "vsub_right_injective",
+        "Ultrafilter.mem_coe",
+        "ClosureOperator.closure_sup_closure_left",
+        "Fin.cast_castAdd_right",
+        "SMul.comp.smulCommClass'",
+        "SimpleGraph.Iso.map_adj_iff",
+        "MeasureTheory.Measure.absolutelyContinuous_of_eq",
+        "FreeSemigroup.mul_map_seq",
+        "Module.End.natCast_apply",
+        "Filter.map\u2082_mono_right",
+        "AlgEquiv.mk_coe'",
+        "LinearEquiv.coe_coe",
+        "analyticOn_congr'",
+        "GromovHausdorff.isometry_optimalGHInjr",
+        "Ideal.IsPrime.mul_le",
+        "OpenSubgroup.toOpens_inf",
+        "ContinuousOpenMap.ext",
+        "MulOpposite.unop_one",
+        "AlgHom.coe_mk'",
+        "Int.zero_mul",
+        "CategoryTheory.Idempotents.DoldKan.equivalence_functor",
+        "Finset.card_le_card_mul_left",
+        "CategoryTheory.whiskerLeft_twice",
+        "Real.smoothTransition.continuousAt",
+        "FirstOrder.Language.funMap_eq_coe_constants",
+        "star_mul'",
+        "Fin.leftInverse_cast",
+        "MeasureTheory.Measure.QuasiMeasurePreserving.mono_left",
+        "Ici_mem_nhds",
+        "Set.SurjOn.cancel_right",
+        "Subtype.val_prop",
+        "Function.const_le_one_of_le_one",
+        "Continuous.cpow",
+        "Pi.prod_snd_fst",
+        "ENNReal.coe_ne_zero",
+        "Multiset.ndinter_subset_left",
+        "BiheytingHom.toFun_eq_coe_aux",
+        "LatticeHom.coe_id",
+        "Filter.tendsto_atTop_of_add_bdd_above_left'",
+        "closure_eq_cluster_pts",
+        "NNReal.rpow_sub",
+        "leftInverse_div_mul_left",
+        "Function.Antiperiodic.nat_even_mul_periodic",
+        "AddCommGroup.ModEq.add_zsmul",
+        "Ideal.is_fg_degreeLE",
+        "Subsemiring.prod_mem",
+        "Metric.iUnion_ball_nat",
+        "LiouvilleWith.add_int",
+        "Int.fmod_nonneg'",
+        "LinearMap.toAffineMap_linear",
+        "LinearMap.ext_on_range",
+        "HasMFDerivWithinAt.continuousWithinAt",
+        "MonoidHom.coprod_apply",
+        "MeasureTheory.Lp.simpleFunc.measurable",
+        "LinearMap.ker_id",
+        "Multiset.erase_cons_head",
+        "CategoryTheory.e_assoc",
+        "CauSeq.le_total",
+        "LatticeHom.coe_comp_sup_hom",
+        "Antitone.tendsto_alternating_series_of_tendsto_zero",
+        "List.Perm.nodup_iff",
+        "borel_eq_generateFrom_Ici",
+        "NonUnitalSubsemiring.map_id",
+        "Subgroup.relindex_ne_zero_trans",
+        "false_imp_iff",
+        "AffineSubspace.not_wSameSide_bot",
+        "MonoidWithZeroHom.coe_inj",
+        "SimpleGraph.Path.isTrail",
+        "Part.one_mem_one",
+        "strictMonoOn_toDual_comp_iff",
+        "Prime.associated_of_dvd",
+        "fderiv.comp",
+        "InfHom.copy_eq",
+        "Primrec.comp\u2082",
+        "IndexedPartition.proj_out",
+        "LinearPMap.isClosable_iff_exists_closed_extension",
+        "TopCat.Sheaf.objSupIsoProdEqLocus_hom_snd",
+        "continuousWithinAt_Iio_iff_Iic",
+        "NNReal.summable_Lp_add",
+        "ContinuousAlternatingMap.ofSubsingleton_toAlternatingMap",
+        "List.join_splitWrtComposition",
+        "Algebra.adjoin_eq_of_le",
+        "IsMaxOn.on_preimage",
+        "Nat.dvd_ord_proj_of_dvd",
+        "AlgEquiv.toLieEquiv_symm_apply",
+        "multiplicity.eq_of_associated_left",
+        "bihimp_def",
+        "Submonoid.toAddSubmonoid_closure",
+        "MeasureTheory.AEStronglyMeasurable.iUnion",
+        "MvPolynomial.map_rightInverse",
+        "OrderHom.isFixedPt_gfp",
+        "nndist_midpoint_midpoint_le'",
+        "Hyperreal.infiniteNeg_add_infiniteNeg",
+        "Finset.sups_infs_subset_left",
+        "mem_maximals_setOf_iff",
+        "Int.self_sub_fract",
+        "monotone_Iic",
+        "FirstOrder.Language.toFun_embedding_empty",
+        "Set.union_subset_iff",
+        "MeasureTheory.snorm_indicator_const",
+        "Finset.Nonempty.image\u2082",
+        "Ultrafilter.inf_neBot_iff",
+        "nhds_mono",
+        "MeasureTheory.StronglyMeasurable.const_smul'",
+        "ContinuousMap.HomotopyWith.ext",
+        "MonotoneOn.max",
+        "differentiable_star_iff",
+        "Set.SurjOn.mapsTo_compl",
+        "Filter.Tendsto.pow",
+        "IsEquivalent.summable_iff",
+        "List.choose_mem",
+        "IsCoprime.pow",
+        "IntermediateField.range_val",
+        "NormedSpace.toLocallyConvexSpace'",
+        "List.getLast?_singleton",
+        "ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator",
+        "MultilinearMap.add_apply",
+        "OrderMonoidWithZeroHom.comp_assoc",
+        "CategoryTheory.Functor.eq_of_iso",
+        "HahnSeries.C_eq_algebraMap",
+        "CircleDeg1Lift.iterate_mono",
+        "Filter.Germ.abs_def",
+        "CategoryTheory.Presieve.IsSheafFor.isSeparatedFor",
+        "MonoidHom.coe_mker",
+        "LinearEquiv.coe_ofInvolutive",
+        "Primrec.nat_casesOn",
+        "FirstOrder.Language.Substructure.mem_closure",
+        "MeasureTheory.tsum_meas_le_meas_iUnion_of_disjoint",
+        "mem_nhdsSet_interior",
+        "Set.image_preimage",
+        "IsLowerSet.top_mem",
+        "Cycle.Chain.eq_nil_of_well_founded",
+        "List.Perm.eqv",
+        "WithLp.equiv_pi_apply",
+        "Ordinal.type_lift_preimage_aux",
+        "Part.left_dom_of_div_dom",
+        "HasDerivAt.hasDerivWithinAt",
+        "two_mul_le_add_sq",
+        "KaehlerDifferential.map_D",
+        "List.SublistForall\u2082.prod_le_prod'",
+        "Disjoint.inf_right'",
+        "Multiset.erase_zero",
+        "Polynomial.natDegree_cubic",
+        "subset_lowerBounds_upperBounds",
+        "Finset.isG\u03b4_compl",
+        "Field.closure_mono",
+        "LinearMap.coprod_zero_left",
+        "List.Pairwise.chain'",
+        "isTorsion_of_finite",
+        "algebraMap_exp_comm_of_mem_ball",
+        "MeasureTheory.Measure.top_add",
+        "Set.mulIndicator_one'",
+        "Set.pairwiseDisjoint_union",
+        "BoxIntegral.Box.le_iff_bounds",
+        "ofBoolAlg_sup",
+        "MeasureTheory.snormEssSup_le_of_ae_nnnorm_bound",
+        "Fintype.card_set",
+        "Ioo_mem_nhdsWithin_Ioi'",
+        "Real.add_neg_lt_sSup",
+        "Set.mk_mem_sigma",
+        "IsExtrFilter.comp_mono",
+        "Cardinal.isRegular_cof",
+        "RingHom.sclosure_preimage_le",
+        "Submodule.map_pow",
+        "Set.iUnion_congr_Prop",
+        "RelEmbedding.coe_trans",
+        "MeasureTheory.Lp.coeFn_inf",
+        "Part.get_eq_of_mem",
+        "FreeGroup.lift.of_eq",
+        "RingHom.mk_coe",
+        "BotHom.bot_apply",
+        "Matrix.UnitaryGroup.inv_apply",
+        "NonUnitalSubsemiring.toSubsemigroup_strictMono",
+        "Pi.monoidHom_injective",
+        "ContinuousLinearMap.coe_sub'",
+        "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2083_mod",
+        "Filter.tendsto_neg_const_mul_pow_atTop",
+        "List.formPerm_cons_cons",
+        "Convex.lineMap_mem",
+        "CategoryTheory.IsIso.comp_inv_eq",
+        "hasDerivWithinAt_inter'",
+        "Equiv.comp_bijective",
+        "Set.ite_mono",
+        "Units.eq_inv_of_mul_eq_one_right",
+        "BumpCovering.sum_toPartitionOfUnity_eq",
+        "DoubleCentralizer.sub_fst",
+        "exists_succ_iterate_or",
+        "AddSubmonoid.toNatSubmodule_symm",
+        "OrderEmbedding.coe_ofMapLEIff",
+        "MonoidHom.map_zpow'",
+        "List.not_lt_of_mem_argmax",
+        "Dilation.coe_mul",
+        "PiTensorProduct.add_tprodCoeff'",
+        "Filter.tendsto_pure_left",
+        "IsLocalization.mk'_eq_iff_eq_mul",
+        "tsub_add_eq_add_tsub",
+        "IsROrC.hasSum_conj",
+        "Additive.isAddMonoidHom",
+        "TopCat.presheafToTypes_map",
+        "Con.conGen_mono",
+        "ContinuousLinearMap.hasBasis_nhds_zero",
+        "Set.infs_eq_empty",
+        "RingEquiv.mapMatrix_refl",
+        "Fintype.card_eq_zero",
+        "TopologicalSpace.Closeds.coe_sInf",
+        "CategoryTheory.InjectiveResolution.complex_d_comp",
+        "forall_const",
+        "CategoryTheory.Pi.isoApp_trans",
+        "imp_congr_ctx",
+        "TopCat.Presheaf.germ_res",
+        "ConvexOn.add_const",
+        "Subsemigroup.closure_iUnion",
+        "Ideal.mul_mem_mul",
+        "ContMDiff.clm_apply",
+        "Flow.map_add",
+        "ofLex_inj",
+        "LinearIsometryEquiv.comp_hasFDerivAt_iff'",
+        "Monoid.CoprodI.Word.smul_def",
+        "Set.prod_subset_preimage_snd",
+        "List.mem_of_mem_take",
+        "LocallyBoundedMap.comp_assoc",
+        "ContDiffAt.inv",
+        "List.nil_infix",
+        "ONote.NFBelow_zero",
+        "MeasureTheory.SimpleFunc.const_mul_eq_map",
+        "Set.preimage_subset_image_of_inverse",
+        "UpperSet.coe_top",
+        "Nat.nth_le_nth_of_lt_card",
+        "CategoryTheory.Limits.Types.limitEquivSections_symm_apply",
+        "EventuallyLE.countable_iInter",
+        "ofDual_max",
+        "IsMinOn.iInf_eq",
+        "Filter.NeBot.not_disjoint",
+        "CategoryTheory.leOfHom_homOfLE",
+        "ENNReal.max_zero_left",
+        "ExteriorAlgebra.toTrivSqZeroExt_\u03b9",
+        "Continuous.pow",
+        "Zspan.fract_mem_fundamentalDomain",
+        "MeasureTheory.Integrable.prod_right_ae",
+        "Substring.ValidFor.startPos",
+        "LinearMap.IsSymm.ortho_comm",
+        "Action.functorCategoryMonoidalEquivalence.inverse_map",
+        "Algebra.isAlgebraic_of_larger_base_of_injective",
+        "PartENat.get_eq_iff_eq_some",
+        "LinearEquiv.piCongrRight_trans",
+        "Interval.coe_injective",
+        "LieModuleHom.neg_apply",
+        "hasContinuousInv\u2080_of_hasSmoothInv\u2080",
+        "Tropical.untrop_inj_iff",
+        "Dvd.dvd.zero_modEq_nat",
+        "Computation.get_eq_of_promises",
+        "Subalgebra.coe_pointwise_smul",
+        "Function.surjective_pi_map",
+        "List.chain'_iff_pairwise",
+        "comap_coe_Ioo_nhdsWithin_Ioi",
+        "sInf_sUnion",
+        "Matrix.det_pow",
+        "isUpperSet_Ioi",
+        "btw_rfl_left",
+        "Function.LeftInverse.leftInvOn",
+        "CategoryTheory.Iso.refl_symm",
+        "iteratedFDerivWithin_inter",
+        "CategoryTheory.Limits.IsZero.hasZeroObject",
+        "Ideal.le_comap_mul",
+        "Int.natAbs_eq",
+        "Filter.frequently_map",
+        "Multiset.Pi.cons_ne",
+        "CategoryTheory.RanIsSheafOfCoverLifting.gluedLimitCone_\u03c0_app",
+        "NonUnitalSubring.toNonUnitalSubsemiring_mono",
+        "OrderMonoidWithZeroHom.mk_coe",
+        "upperBounds_Iic",
+        "Polynomial.fderiv_aeval",
+        "mul_le_of_le_of_le_one",
+        "Subgroup.Normal.eq_bot_or_eq_top",
+        "Polynomial.splits_iff_exists_multiset",
+        "CategoryTheory.Equivalence.Equivalence_mk'_unit",
+        "Ordnode.Valid.right",
+        "cast_proof_irrel",
+        "Quaternion.exp_coe",
+        "PosMulMono.toPosMulReflectLT"
+    ]
+}