instCompleteAtomicBooleanAlgebra đ | CompOp | 980 mathmath: IsLocalization.AtPrime.coe_primeSpectrumOrderIso_symm_apply_asIdeal, upperBounds_supClosure, MeasureTheory.Measure.MeasureDense.approx, Dynamics.netEntropyEntourage_monotone, Dynamics.netMaxcard_monotone_subset, Finite.t2_separation, TopCat.binaryCofan_isColimit_iff, ncard_mono, Matroid.exists_isBasis_disjoint_isBasis_of_subset, Metric.ball_disjoint_ball, NonUnitalAlgebra.gc, pairwiseDisjoint_pair_insert, fixingSubgroup_antitone, Metric.disjoint_ball_infDist, convexIndependent_set_iff_inter_convexHull_subset, Dynamics.coverEntropyInfEntourage_antitone, disjoint_ordT5Nhd, LowerAdjoint.closure_iUnionâ_closure, smul_set_symmDiff, preimage_kernImage, IsLinearMap.image_convexHull, ProbabilityTheory.measure_limsup_eq_one, LocalizedModule.subsingleton_iff_disjoint, FirstOrder.Language.Substructure.closure_eq_of_isRelational, Finpartition.isPartition_parts, AlgebraicGeometry.Scheme.isEmpty_pullback_iff, convexHull_insert, Antitone.Icc, subset_closedConvexHull, Geometry.SimplicialComplex.vertex_mem_convexHull_iff, SimpleGraph.isBipartiteWith_neighborSet_disjoint, closedConvexHull_min, SeparatedNhds.disjoint, PrimeSpectrum.localization_specComap_range, convexHull_multiset_sum, Geometry.SimplicialComplex.convexHull_subset_space, MeasureTheory.liminf_ae_eq_of_forall_ae_eq, disjoint_or_subset_of_isClopen, BoxIntegral.Box.disjoint_splitCenterBox, Finset.inf_id_set_eq_sInter, Matroid.isBase_compl_iff_maximal_disjoint_isBase, LowerAdjoint.mem_iff, iUnionLift_unary, supClosure_eq_self, MonotoneOn.Icc, Geometry.SimplicialComplex.mem_space_iff, MeasureTheory.measureReal_symmDiff_le, MeasureTheory.exists_decomposition_of_monotoneOn_hasDerivWithinAt, MeasureTheory.NullMeasurableSet.exists_isOpen_symmDiff_lt, Disjoint.of_spanâ, MeasureTheory.IsSetSemiring.pairwiseDisjoint_insert_disjointOfDiff, MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetRing, antitone_continuousOn, isSublattice_latticeClosure, strictMono_nhdsSet, Descriptive.Tree.take_mem, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_invApp, lowerPolar_anti, Monotone.Ici, Convex.convex_remove_iff_notMem_convexHull_remove, ProjectiveSpectrum.gc_homogeneousIdeal, LowerAdjoint.closure_union_closure, Finset.ordConnected_range_coe, AntitoneOn.Ici, AlgebraicGeometry.IsAffineOpen.isCompact_pullback_inf, Matroid.eRk_mono, inf_mem_infClosure, convexHull_eq_iInter, UpperSet.sdiff_eq_left, latticeClosure_univ, FirstOrder.Language.Substructure.fg_closure_singleton, monotone_hausdorffEntourage, MeasureTheory.pairwise_disjoint_fundamentalInterior, MeasureTheory.monotone_spanningSets, SeparatedNhds.disjoint_closure_left, Iio_disjoint_Ioi_of_not_lt, LinearMap.polar_antitone, HasCardinalLT.Set.functor_obj, Filter.Realizer.map_F, PrimeSpectrum.gc, Complex.convexHull_reProdIm, MeasureTheory.SeparableSpace.exists_measurable_partition_diam_le, IsUltrametricDist.ball_subset_trichotomy, Matroid.IsBasis.contract_dep_iff, BoxIntegral.Prepartition.isPartitionDisjUnionOfEqDiff, isGLB_infClosure, Monotone.Ioo, LowerAdjoint.le_iff_subset, SimpleGraph.ComponentCompl.disjoint_right, LowerSet.disjoint_coe, AddAction.orbit.pairwiseDisjoint, MeasureTheory.measure_symmDiff_eq_top, EMetric.ball_disjoint, Topology.RelCWComplex.pairwiseDisjoint', convexJoin_segments, Matroid.contract_isCocircuit_iff, FirstOrder.Language.Substructure.small_closure, BoxIntegral.Box.disjoint_withBotCoe, Antitone.pairwise_disjoint_on_Ioc_pred, Topology.RelCWComplex.disjoint_openCell_of_ne, FirstOrder.Language.Substructure.cg_def, IsCompact.separation_of_notMem, Cardinal.mk_monotone, Finset.isWF_sup, IsSublattice.latticeClosure_eq, AddAction.IsBlock.disjoint_vadd_left, OrderedFinpartition.disjoint, biUnion_range_succ_disjointed, Iio_disjoint_Ioi_iff, exists_partition_approximatesLinearOn_of_hasFDerivWithinAt, exists_dist_slope_lt_pairwiseDisjoint_hasSum, LinearEquiv.dilatransvections_pow_mono, FirstOrder.Language.Substructure.mem_closure, Besicovitch.exist_disjoint_covering_families, IsLocalization.coe_primeSpectrumOrderIso_symm_apply_asIdeal, MeasureTheory.exists_null_pairwise_disjoint_diff, convexHull_union_neg_eq_absConvexHull, BoxIntegral.Box.Ioo_subset_coe, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.app_inv_app', Localization.localRingHom_injective_of_primesOver_eq_singleton, MeasureTheory.measure_liminf_cofinite_eq_zero, interior_convexHull_nonempty_iff_affineSpan_eq_top, SummationFilter.support_eq_limsInf, Matroid.IsBasis.contract_indep_iff, Descriptive.Tree.mem_pullSub_long, separated_by_continuous, Antitone.pairwise_disjoint_on_Ioo_pred, mem_absConvexHull_iff, Perfect.small_diam_splitting, SimpleGraph.ComponentCompl.pairwise_disjoint, Iic_disjoint_Ioi, Geometry.SimplicialComplex.convexHull_inter_convexHull, HasCardinalLT.Set.cocone_pt, disjoint_pi_univ_Ioc_update_left_right, disjoint_nested_nhds_of_not_inseparable, IsLocalization.AtPrime.coe_orderIsoOfPrime_symm_apply_coe, AffineBasis.convexHull_eq_nonneg_coord, FirstOrder.Language.Substructure.fg_closure, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_inv_app', exists_disjoint_vadd_of_isCompact, AntitoneOn.Icc, segment_subset_convexHull, MeasureTheory.measureReal_symmDiff_eq, convexHull_toCone_eq_sInf, MulAction.IsBlock.disjoint_smul_of_ne, Balanced.convexHull, Disjoint.of_span, subset_absConvexHull, Matroid.IsMinor.exists_eq_contract_delete_disjoint, balancedHull_subset_convexHull_union_neg, SSet.Subcomplex.degenerate_eq_top_iff, TopologicalSpace.Closeds.gc, isEmbedding_sumElim, Matroid.delete_eq_self_iff, Convex.convexHull_union, closedConvexHull_eq_closure_convexHull, MonotoneOn.Iio, Finset.mem_convexHull', subset_convexHull, Dynamics.coverEntropy_monotone, MulAction.isBlock_iff_smul_eq_or_disjoint, disjoint_interior_frontier, blimsup_thickening_mul_ae_eq_aux, Convex.convexHull_subset_iff, AffineBasis.interior_convexHull, Filter.Realizer.ne_bot_iff, Matroid.contract_eq_self_iff, antitone_Ioi, Finset.sup_set_eq_biUnion, AlgebraicIndependent.adjoin_iff_disjoint, Finite.infClosure, ofDual_preimage_latticeClosure, MeasureTheory.IsSetSemiring.disjointOfUnion_props, MeasureTheory.Measure.QuasiMeasurePreserving.liminf_preimage_iterate_ae_eq, Finset.coe_wcovBy_coe, Ioc_disjoint_Ioc, MeasureTheory.SignedMeasure.exists_isCompl_positive_negative, UpperSet.codisjoint_coe, Geometry.SimplicialComplex.inter_subset_convexHull, convexJoin_segment_singleton, Matroid.isClosed_iff_isFlat, beattySeq'_symmDiff_beattySeq_pos, IsAddFoelner.tendsto_meas_vadd_symmDiff_vadd, gc_upperPolar_lowerPolar, Concept.isCompl_extent_intent, convexJoin_singleton_segment, convexHull_diam, TopologicalSpace.Opens.frameHom_toFun, Matroid.Coindep.delete_spanning_iff, Antitone.Ico, Monotone.pairwise_disjoint_on_Ioc_pred, MeasureTheory.abs_measureReal_sub_le_measureReal_symmDiff', disjoint_right_ordSeparatingSet, LowerSet.sdiff_eq_left, Antitone.pairwise_disjoint_on_Ioo_succ, subset_closedAbsConvexHull, gc_upperBounds_lowerBounds, Dynamics.netEntropyEntourage_antitone, Fin.Embedding.exists_embedding_disjoint_range_of_add_le_Nat_card, Finset.centerMass_id_mem_convexHull, pairwise_disjoint_vadd_iff, latticeClosure_mono, Finite.isCompact_convexHull, image_latticeClosure', Finset.centerMass_id_mem_convexHull_of_nonpos, CompleteLatticeHom.setPreimage_apply, convexHull_add, IsFoelner.tendsto_meas_smul_symmDiff, Filter.cofinite.limsup_set_eq, disjoint_iUnion_left, upperHemicontinuousWithinAt_iff_preimage_Iic, definable_finset_sup, affineSpan_convexHull, AlgebraicGeometry.Scheme.Hom.app_appIso_inv_assoc, MeasureTheory.IsSetSemiring.isSetRing_supClosure, Cardinal.mk_strictMonoOn, MeasureTheory.disjoint_addFundamentalInterior_addFundamentalFrontier, Besicovitch.TauPackage.monotone_iUnionUpTo, PairwiseDisjoint.exists_mem_filter, Antitone.Ioc, MeasureTheory.hittingBtwn_apply_anti, encard_strictMono, MeasureTheory.Measure.MeasureDense.fin_meas_approx, NonarchimedeanGroup.exists_openSubgroup_separating, Subgroup.leftCoset_cover_filter_FiniteIndex_aux, MeasureTheory.edist_indicatorConstLp_eq_enorm, convexHull_basis_eq_stdSimplex, fixingAddSubmonoid_fixedPoints_gc, Ideal.disjoint_powers_iff_notMem, Matroid.Indep.contract_dep_iff, blimsup_cthickening_ae_le_of_eventually_mul_le_aux, Convex.radon_partition, IsOpen.exists_iUnion_isClosed, Ctop.Realizer.nhds_F, lowerHemicontinuous_iff_isOpen_compl_preimage_Iic_compl, Matroid.cRk_mono, ConvexOn.bddAbove_convexHull, MeasureTheory.IsSetSemiring.mem_supClosure_iff, FirstOrder.Language.Substructure.fg_def, SupClosed.infClosure, disjoint_nhdsSet_principal, BoxIntegral.Box.iUnion_Ioo_of_tendsto, Subgroup.pairwiseDisjoint_leftCoset_cover_const_of_index_eq, MulAction.disjoint_image_image_iff, t2_separation_nhds, CompleteSublattice.mem_subtype, Setoid.IsPartition.finpartition_parts, MonotoneOn.Ici, disjoint_smul_set, AddAction.IsBlock.disjoint_vadd_vadd_set, Matroid.closure_eq_subtypeClosure, infClosed_infClosure, Filter.disjoint_iff, Ideal.disjoint_map_primeCompl_iff_comap_le, AddAction.IsBlock.vadd_eq_vadd_or_disjoint, MeasureTheory.measure_symmDiff_le, ConvexIndependent.mem_convexHull_iff, not_disjoint_segment_convexHull_triple, AffineSubspace.inf_coe, convexHull_vadd, Filter.monotone_mem, Matroid.closure_mono, FirstOrder.Language.Substructure.lift_card_closure_le_card_term, MeasureTheory.dense_of_generateFrom_isSetSemiring, disjoint_sUnion_left, NonarchimedeanAddGroup.exists_openAddSubgroup_separating, TopologicalSpace.Clopens.coe_disjoint, AffineSubspace.coe_inf, isCoatom_iff, Monotone.Iio, exists_mem_interior_convexHull_affineBasis, LowerSet.sdiff_lt_left, Ideal.disjoint_nonZeroDivisors_of_mem_minimalPrimes, MeasureTheory.measure_neg_vadd_symmDiff, supClosure_empty, FirstOrder.Language.Substructure.mem_closure_iff_exists_term, IsRetrocompact.finsetInf', Besicovitch.exist_finset_disjoint_balls_large_measure, blimsup_cthickening_ae_le_of_eventually_mul_le, isInducing_sumElim, BoxIntegral.Box.Ioo_ae_eq_Icc, QuotientAddGroup.strictMono_comap_prod_image, compl_image_latticeClosure, closedAbsConvexHull_min, Order.Ideal.PrimePair.isCompl_I_F, TopologicalSpace.Opens.gc, Filter.cofinite.bliminf_set_eq, PrimitiveSpectrum.gc_closureOperator, beattySeq_symmDiff_beattySeq'_pos, Irrational.beattySeq_symmDiff_beattySeq_pos, upperHemicontinuousOn_iff_preimage_Iic, totallyBounded_absConvexHull, Ioi_disjoint_Iio_iff, Matroid.dual_indep_iff_exists', infClosure_singleton, MeasureTheory.IsSetSemiring.exists_disjoint_finset_diff_eq, Besicovitch.exists_disjoint_closedBall_covering_ae_of_finiteMeasure_aux, absConvexHull_nonempty, MeasureTheory.disjoint_fundamentalInterior_fundamentalFrontier, Descriptive.Tree.take_coe, absConvexHull_empty, AddAction.IsBlock.pairwiseDisjoint_range_vadd, isAtom_singleton, PairwiseDisjoint.exists_mem_filter_basis, absConvexHull_eq_self, kernImage_mono, MeasureTheory.IsSetSemiring.disjoint_sUnion_disjointOfDiffUnion, monotone_accumulate, MulAction.orbit.eq_or_disjoint, Topology.IsInducing.disjoint_of_sumElim_aux, Convex.mem_extremePoints_iff_mem_diff_convexHull_diff, latticeClosure_prod, separated_by_isOpenEmbedding, Setoid.eqv_classes_disjoint, IsLocalization.isPrime_iff_isPrime_disjoint, SubMulAction.disjoint_val_image, Monotone.Ico, InfClosed.infClosure_eq, MeasureTheory.measure_limsup_cofinite_eq_zero, Dynamics.coverMincard_antitone, NonUnitalStarAlgebra.gc, Dynamics.netMaxcard_antitone, AddAction.IsBlock.disjoint_vadd_set_vadd, AlgebraicGeometry.isCompl_range_inl_inr, Antitone.Iio, Metric.disjoint_closedEBall_of_lt_infEDist, upperHemicontinuousAt_iff_preimage_Iic, exists_nhds_disjoint_closure, Seminorm.closedBall_finset_sup, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.app_inv_app'_assoc, ProjectiveSpectrum.gc_set, convexHull_add_subset, TopologicalSpace.Opens.coe_finset_sup, MeasureTheory.IsSetSemiring.diff_mem_supClosure, isNowhereDense_iff_disjoint, ConvexCone.disjoint_hull_left_of_convex, EisensteinSeries.pairwise_disjoint_gammaSet, Descriptive.Tree.pullSub_adjunction, Fin.Embedding.exists_embedding_disjoint_range_of_add_le_ENat_card, Topology.IsLocallyConstructible.finsetInf, infClosure_eq_self, closedConvexHull_closure_eq_closedConvexHull, MulAction.IsBlock.disjoint_smul_right, compl_image_latticeClosure_eq_of_compl_image_eq_self, partialSups_eq_sUnion_image, Polynomial.rootSet_derivative_subset_convexHull_rootSet, BoxIntegral.unitPartition.disjoint, latticeClosure_singleton, closure_convexHull_extremePoints, MulAction.IsBlock.disjoint_smul_smul_set, MeasureTheory.le_measure_symmDiff, TopologicalSpace.Closeds.coe_finset_inf, CompleteSublattice.mem_sInf, MeasurableSet.bihimp, Dynamics.coverEntropyEntourage_monotone, Descriptive.coe_def, Finite.isClosed_convexHull, Descriptive.Tree.pullSub_subAt, MeasureTheory.measure_symmDiff_inv_smul, convexHull_empty, disjoint_iUnion_right, image_preimage, absConvexHull_add_subset, Finset.centerMass_mem_convexHull, exists_open_nhds_disjoint_closure, Sublattice.setLike_mem_inf, disjoint_measurableAtom_of_notMem, convexHull_pair, MeasureTheory.disjoint_cylinder_iff, MonotoneOn.Iic, Descriptive.Tree.take_eq_take, preCantorSet_antitone, MeasureTheory.hittingBtwn_anti, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_inv_app'_assoc, NFA.disjoint_evalFrom_reverse_iff, Matroid.contract_spanning_iff, FirstOrder.Language.Substructure.mem_closed_of_isRelational, Topology.CWComplex.pairwiseDisjoint', Filter.antitone_seq_of_seq, infClosure_univ, Dynamics.coverEntropyInf_monotone, FirstOrder.Language.Substructure.fg_iff_exists_fin_generating_family, Sublattice.ext_mem_iff, MulAction.IsBlock.disjoint_smul_set_smul, fixingSubmonoid_antitone, TopologicalSpace.Opens.coe_finset_inf, subset_latticeClosure, convexJoin_subset_convexHull, Geometry.SimplicialComplex.disjoint_or_exists_inter_eq_convexHull, MeasureTheory.IsSetSemiring.pairwiseDisjoint_disjointOfUnion_of_mem, subset_infClosure, SimpleGraph.Subgraph.verts_monotone, convexHull_eq_empty, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.app_invApp_assoc, FirstOrder.Language.ClosedUnder.inf, FirstOrder.Language.isExtensionPair_iff_exists_embedding_closure_singleton_sup, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.app_invApp, disjoint_frontier_iff_isOpen, Vitali.exists_disjoint_subfamily_covering_enlargement_closedBall, MeasureTheory.IsSetSemiring.pairwiseDisjoint_biUnion_disjointOfUnion, MvPolynomial.supported_strictMono, IsGenericPoint.disjoint_iff, Sublattice.mem_subtype, AddAction.IsBlock.disjoint_vadd_right, convexHull_singleton, fixedPoints_addSubgroup_antitone, MeasureTheory.hittingAfter_apply_anti, MeasureTheory.IsSetSemiring.diff_eq_sUnion', AntitoneOn.Ioi, Antitone.pairwise_disjoint_on_Ioc_succ, dist_mulIndicator, CompleteSublattice.mem_sup, Filter.Realizer.mem_sets, exists_seq_infinite_isOpen_pairwise_disjoint, LowerAdjoint.closure_union_closure_subset, BooleanSubalgebra.latticeClosure_subset_closure, disjoint_iUnionâ_right, isFoelner_iff, Antitone.Ioi, convex_convexHull, convexHull_sum, limsup_eq_tendsto_sum_indicator_atTop, Finset.inf_set_eq_iInter, IsUltrametricDist.ball_eq_or_disjoint, Filter.HasBasis.disjoint_iff, IsFoelner.tendsto_meas_smul_symmDiff_smul, FirstOrder.Language.Substructure.closure_insert, isBounded_convexHull, AddAction.isBlock_iff_vadd_eq_or_disjoint, Dynamics.netEntropyInfEntourage_monotone, exists_union_disjoint_cardinal_eq_of_even, SimpleGraph.pairwise_disjoint_supp_connectedComponent, Finset.mem_convexHull, BooleanSubalgebra.closure_latticeClosure, convexHull_neg, upperHemicontinuous_iff_isOpen_preimage_Iic, convexIndependent_set_iff_notMem_convexHull_diff, IsRetrocompact.finsetSup, upperHemicontinuous_iff_preimage_Iic, Ioi_disjoint_Iio_of_le, BoxIntegral.Prepartition.pairwiseDisjoint, Antitone.Ici, LinearEquiv.transvections_pow_mono, Concept.codisjoint_extent_intent, convexHull_sphere_eq_closedBall, Metric.ball_disjoint_closedBall, mem_add_wellApproximable_iff, LinearMap.polar_gc, AntitoneOn.Iic, LowerAdjoint.subset_closure, Matroid.IsCircuit.disjoint_coloops, UpperSet.lt_sdiff_left, MeasureTheory.tendsto_measure_symmDiff_preimage_nhds_zero, Finite.supClosure, Subgroup.IsComplement.pairwiseDisjoint_smul, Convex.exists_subset_interior_convexHull_finset_of_isCompact, Filter.Realizer.ofEquiv_F, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.app_invApp, MeasurableSet.measurableSet_bliminf, convexHull_mono, VitaliFamily.FineSubfamilyOn.covering_disjoint_subtype, convex_absConvexHull, CauchyFilter.monotone_gen, isCoatom_singleton_compl, Cardinal.mk_strictMono, convexHullAddMonoidHom_apply, Finset.intervalGapsWithin_pairwiseDisjoint_Ioc, absConvexHull_mono, biUnion_Iic_disjointed, Finset.convexHull_eq, MulAction.IsBlock.smul_eq_smul_or_disjoint, ConvexCone.disjoint_coe, totallyBounded_convexHull, Nonempty.absConvexHull, TopologicalSpace.Compacts.coe_finset_sup, CompleteSublattice.mem_inf, Filter.disjoint_principal_principal, connectedComponent_disjoint, AddAction.IsBlock.disjoint_vadd_of_ne, MeasureTheory.IsSetRing.partialSups_mem, sup_mem_supClosure, lowerBounds_infClosure, gc_nhdsKer_interior, ProperlyDiscontinuousSMul.exists_nhds_disjoint_image, LowerAdjoint.closure_union_closure_right, Topology.RelCWComplex.disjoint_interior_base_closedCell, absConvex_convexClosedHull, Iic_disjoint_Ioc, convexHull_eq_singleton, convexHull_eq_zero, encard_mono, nndist_mulIndicator, SimpleGraph.IsBipartiteWith.disjoint, MeasureTheory.eLpNorm_indicator_sub_indicator, SeparatedNhds.disjoint_closure_right, Ioc_disjoint_Ioi, FirstOrder.Language.Substructure.closure_empty, QuotientGroup.strictMono_comap_prod_image, monotone_Iio, isCompact_closedAbsConvexHull_of_totallyBounded, supClosure_isClosed, VitaliFamily.FineSubfamilyOn.exists_disjoint_covering_ae, absConvexHull_subset_closedAbsConvexHull, Matroid.setOf_indep_eq, toWeakSpace_closedConvexHull_eq, Iic_disjoint_Ici, convexHull_pi, FirstOrder.Language.monotone_distinctConstantsTheory, isAtom_iff, Monotone.Ioc, MeasureTheory.measure_liminf_atTop_eq_zero, Finset.coe_covBy_coe, gc_upperClosure_coe, FirstOrder.Language.Substructure.iSup_eq_closure, disjoint_ball_closedBall_iff, MeasurableSet.symmDiff, Filter.EventuallyEq.symmDiff, supClosure_singleton, SimpleGraph.isBipartiteWith_neighborSet_disjoint', image_latticeClosure, doublyStochastic_eq_convexHull_permMatrix, latticeClosure_eq_self, Interval.disjoint_coe, absConvexHull_eq_iInter, CFilter.mem_toFilter_sets, Ioi_disjoint_Iio_of_not_lt, latticeClosure_empty, VitaliFamily.covering, BoxIntegral.Box.Ioo_subset_Icc, Finset.isPWO_sup, Finset.partiallyWellOrderedOn_sup, MeasurableSet.measurableSet_liminf, exists_open_convex_of_notMem, BoxIntegral.Box.exists_seq_mono_tendsto, Finset.centroid_mem_convexHull, SimpleGraph.ComponentCompl.hom_eq_iff_not_disjoint, supClosure_mono, AddAction.isBlock_iff_disjoint_vadd_of_ne, Vitali.exists_disjoint_subfamily_covering_enlargement, Matroid.coindep_contract_iff, t2_separation_compact_nhds, AbsConvex.absConvexHull_subset_iff, IndexedPartition.disjoint, lowerHemicontinuous_iff_isClosed_preimage_Iic, Ico_disjoint_Ico, AddSubgroup.pairwiseDisjoint_leftCoset_cover_const_of_index_eq, Topology.RelCWComplex.disjointBase, SupClosed.supClosure_eq, MeasureTheory.Egorov.notConvergentSeq_antitone, ClosedSubmodule.coe_inf, Projectivization.Subspace.monotone_span, Locale.openOfElementHom_toFun, FirstOrder.Language.Substructure.subset_closure, PrimitiveSpectrum.closedsGC_closureOperator, Filter.cofinite.liminf_set_eq, Monotone.pairwise_disjoint_on_Ico_pred, FirstOrder.Language.Substructure.closure_iUnion, Metric.disjoint_closedBall_of_lt_infDist, absConvex_absConvexHull, monotone_Iic, AntitoneOn.Ioo, mem_wellApproximable_iff, Metric.frontier_thickening_disjoint, MulAction.isBlock_iff_smul_eq_smul_or_disjoint, AddAction.isBlock_iff_pairwiseDisjoint_range_vadd, ProjectiveSpectrum.gc_ideal, TopologicalSpace.Closeds.coe_finset_sup, MeasureTheory.measure_inv_smul_symmDiff, Vitali.exists_disjoint_covering_ae, ProperlyDiscontinuousVAdd.exists_nhds_disjoint_image, Monotone.pairwise_disjoint_on_Ioo_succ, Metric.AreSeparated.disjoint, Ioi_disjoint_Iio_same, BoxIntegral.Box.disjoint_coe, MulAction.IsBlock.disjoint_smul_left, Infinite.exists_union_disjoint_cardinal_eq_of_infinite, LinearMap.image_convexHull, IsLowerSet.disjoint_upperClosure_left, FirstOrder.Language.Substructure.closure_union, MulAction.isBlock_iff_disjoint_smul_of_ne, ContinuousMap.ideal_gc, IsRetrocompact.finsetSup', Dynamics.coverEntropyEntourage_antitone, Besicovitch.exists_disjoint_closedBall_covering_ae, AddSubgroup.IsComplement.pairwiseDisjoint_vadd, PrimeSpectrum.gc_set, IsLocalization.orderIsoOfPrime_symm_apply_coe, StarAlgebra.gc, Matroid.dual_indep_iff_exists, convexHull_univ, FreeGroup.startsWith.disjoint_iff_ne, disjoint_vadd_set, convexHull_ediam, disjoint_closedBall_closedBall_iff, Finsupp.codisjoint_supported_supported_iff, disjoint_sUnion_right, FirstOrder.Language.Structure.cg_iff, T2Space.t2, Monotone.Ioi, infClosure_min, absConvexHull_min, Filter.ker_mono, AddAction.isBlock_iff_vadd_eq_vadd_or_disjoint, Descriptive.Tree.tree_eq_bot, Metric.closedBall_disjoint_ball, HasCardinalLT.Set.cocone_Κ_app, IsLocalization.disjoint_comap_iff, AffineIndependent.convexHull_inter', AntitoneOn.Iio, Filter.Realizer.le_iff, AddAction.orbit.eq_or_disjoint, latticeClosure_idem, convexHull_zero, t2Space_iff_nhds, IsLowerSet.disjoint_upperClosure_right, convexHull_eq_union_convexHull_finite_subsets, Monotone.pairwise_disjoint_on_Ioo_pred, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_invApp_assoc, ncard_union_eq_iff, Concept.strictAnti_intent, Monotone.pairwise_disjoint_on_Ioc_succ, MeasurableSet.measurableSet_limsup, Matroid.delete_dep_iff, fixingSubmonoid_fixedPoints_gc, CompleteSublattice.mem_iSup, MeasureTheory.exists_subordinate_pairwise_disjoint, zero_mem_absConvexHull, MeasureTheory.MeasuredSets.dist_def, disjoint_principal_nhdsSet, Matroid.contract_spanning_iff', Filter.Realizer.principal_F, infClosure_prod, exists_union_disjoint_cardinal_eq_iff, HasCardinalLT.Set.functor_map_coe, affineCombination_mem_convexHull, MeasureTheory.ae_mem_limsup_atTop_iff, Matroid.Indep.contract_indep_iff, mem_convexHull_iff_exists_fintype, Metric.frontier_cthickening_disjoint, dist_indicator, MulAction.orbit.pairwiseDisjoint, antitone_dissipate, absConvexHull_univ, Iio_disjoint_Ioi_same, Topology.RelCWComplex.disjoint_skeleton_openCell, convexHull_toCone_isLeast, partialSups_eq_accumulate, RootedTree.subtrees_disjoint, posTangentConeAt_mono, fixedPoints_subgroup_antitone, iUnionLift_binary, Metric.eball_disjoint, CompleteSublattice.mem_top, Filter.mem_limsup_iff_frequently_mem, MeasureTheory.AEDisjoint.exists_disjoint_diff, fixingAddSubmonoid_antitone, MeasurableSpace.generateMeasurableRec_mono, disjoint_ball_ball_iff, Finite.latticeClosure, extremePoints_convexHull_subset, MvPolynomial.zeroLocus_vanishingIdeal_galoisConnection, Topology.RelCWComplex.disjointBase', MeasurableSet.measurableSet_blimsup, TopologicalSpace.gc_generateFrom, TopologicalSpace.Closeds.isAtom_coe, disjoint_memPartition, Geometry.SimplicialComplex.face_subset_face_iff, Convex.convexHull_eq, Descriptive.Tree.mem_subAt, monotone_preimage, convexHull_convexHull_union_right, Subgroup.pairwiseDisjoint_leftCoset_cover_of_sum_inv_index_eq_one, NFA.disjoint_stepSet_reverse, MeasureTheory.measure_limsup_atTop_eq_zero, fixedPoints_antitone_addSubmonoid, MeasureTheory.abs_measureReal_sub_le_measureReal_symmDiff, PiNat.disjoint_cylinder_of_longestPrefix_lt, IsUpperSet.disjoint_lowerClosure_left, HasCardinalLT.Set.instIsCardinalFiltered, IsUltrametricDist.closedBall_subset_trichotomy, disjoint_vadd_set_left, MonotoneOn.Ico, SimpleGraph.disjoint_image_val_universalVerts, MeasureTheory.measure_symmDiff_eq, fixingAddSubgroup_fixedPoints_gc, ConvexCone.disjoint_hull_right_of_convex, Ioc_disjoint_Ioc_of_le, MeasureTheory.Measure.exists_eq_disjoint_finiteSpanningSetsIn, EMetric.disjoint_closedBall_of_lt_infEdist, FirstOrder.Language.Substructure.coe_closure_eq_range_term_realize, pairwiseDisjoint_vadd_iff, Ideal.disjoint_primeCompl_of_liesOver, MeasureTheory.SignedMeasure.of_symmDiff_compl_positive_negative, FirstOrder.Language.Substructure.closed, blimsup_cthickening_ae_eq_blimsup_thickening, supClosure_infClosure, Composition.disjoint_range, MulAction.IsBlock.pairwiseDisjoint_range_smul, MulAction.isBlock_iff_pairwiseDisjoint_range_smul, absConvexHull_isClosed, instIsCoatomistic, infClosure_mono, isSeparatedMap_iff_nhds, exists_union_disjoint_ncard_eq_of_even, convexHull_convexHull_union_left, MonotoneOn.Ioc, mabs_mulIndicator_symmDiff, Ici_disjoint_Iic, convexHull_min, Topology.RelCWComplex.Subcomplex.disjoint_openCell_subcomplex_of_not_mem, fixingSubgroup_fixedPoints_gc, convexHull_isClosed, fixingAddSubgroup_antitone, Matroid.delete_isBasis_iff, MeasureTheory.AddContent.supClosure_apply_of_mem, monotone_nhdsSet, InfClosed.supClosure, antitone_Ici, MeasureTheory.measure_symmDiff_neg_vadd, MeasureTheory.limsup_ae_eq_of_forall_ae_eq, Filter.cofinite.blimsup_set_eq, pairwiseDisjoint_iff, closedAbsConvexHull_eq_closure_absConvexHull, Seminorm.closedBall_finset_sup', TopologicalSpace.Opens.coe_disjoint, Matroid.isFlat_iff_isClosed, BoxIntegral.Box.measurableSet_Ioo, Matroid.IsCircuit.isCocircuit_disjoint_or_nontrivial_inter, CompleteSublattice.mem_sSup, nndist_indicator, PMF.toOuterMeasure_apply_eq_zero_iff, ConvexCone.gc_hull_coe, AddAction.disjoint_image_image_iff, convexHull_prod, MeasureTheory.OuterMeasure.isCaratheodory_partialSups, DoubleCoset.disjoint_out, Antitone.Iic, FirstOrder.Language.Substructure.closure_withConstants_eq, blimsup_thickening_mul_ae_eq, Filter.IsAntitoneBasis.antitone, IsAddFoelner.tendsto_meas_vadd_symmDiff, Finset.wellFoundedOn_sup, CompleteSublattice.ext_iff, AddSubgroup.leftCoset_cover_filter_FiniteIndex_aux, disjoint_vadd_set_right, MonotoneOn.Ioo, infClosure_supClosure, convexHull_eq_union, Iio_disjoint_Ici, Topology.RelCWComplex.disjoint_skeletonLT_openCell, convexHull_eq, MeasureTheory.IsSetSemiring.pairwiseDisjoint_disjointOfDiff, Filter.Realizer.bot_F, Monotone.Iic, supClosure_idem, pairwise_disjoint_smul_iff, CompleteLatticeHom.coe_setPreimage, convexHull_smul, Setoid.IsPartition.pairwiseDisjoint, ModelWithCorners.disjoint_interior_boundary, CompleteLatticeHom.setPreimage_id, Filter.Realizer.top_F, Nonempty.convexHull, absConvexHull_eq_convexHull_balancedHull, FirstOrder.Language.Substructure.map_closure, Ico_disjoint_Ico_same, Finite.convexHull_eq_image, vadd_set_symmDiff, Filter.HasAntitoneBasis.antitone, infClosure_idem, Disjoint.edgeSet, mem_convexHull_of_exists_fintype, MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetSemiring, convexHull_rangle_single_eq_stdSimplex, FirstOrder.Language.Substructure.closure_le, AffineBasis.centroid_mem_interior_convexHull, AffineMap.image_convexHull, convexHull_union, convexHull_sub, FirstOrder.Language.Substructure.mem_closed_iff, upperHemicontinuous_iff_isClosed_compl_preimage_Iic_compl, SubAddAction.disjoint_val_image, Monotone.Icc, WCovBy.finset_coe, closure_subset_closedConvexHull, ConcaveOn.bddBelow_convexHull, BoxIntegral.Prepartition.disjoint_coe_of_mem, blimsup_cthickening_mul_ae_eq, Countable.substructure_closure, MeasureTheory.exists_pair_mem_lattice_not_disjoint_vadd, FirstOrder.Language.Substructure.subset_closure_withConstants, Antitone.pairwise_disjoint_on_Ico_pred, convexHull_list_sum, Matroid.Indep.contract_isBase_iff, definable_finset_inf, Finite.ncard_strictMonoOn, IntermediateField.gc, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.app_inv_app', Submodule.span_monotone, partialSups_eq_biUnion_range, Filter.exists_antitone_seq, Pairwise.exists_mem_filter_basis_of_disjoint, pairwiseDisjoint_smul_iff, MulAction.IsBlock.smul_eq_or_disjoint, CompleteSublattice.mem_iInf, Concept.strictMono_extent, Ioo_disjoint_Ioo, Perfect.splitting, convexHull_nonempty_iff, CovBy.finset_coe, Metric.sphere_disjoint_ball, infClosure_isClosed, RealRMK.range_cut_partition, Besicovitch.exists_disjoint_closedBall_covering_ae_aux, Topology.IsLocallyConstructible.finsetInf', Ideal.exists_disjoint_powers_of_span_eq_top, subset_supClosure, Dynamics.netEntropyInfEntourage_antitone, Descriptive.Tree.mem_pullSub_self, MeasureTheory.pairwise_disjoint_addFundamentalInterior, upperPolar_anti, Topology.RelCWComplex.pairwiseDisjoint, Matroid.Coindep.delete_isBase_iff, closedAbsConvexHull_isClosed, AntitoneOn.Ioc, HasCardinalLT.Set.instIsFilteredOfFactIsRegular, disjoint_smul_set_left, disjoint_nhdsWithin_of_mem_discrete, finsetInf'_mem_infClosure, mem_convexHull_iff, Dynamics.dynEntourage_antitone, AntitoneOn.Ico, Filter.NeBot.not_disjoint, Seminorm.ball_finset_sup, disjoint_smul_set_right, Matroid.dualIndepMatroid_Indep, parallelepiped_eq_convexHull, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.app_invApp_assoc, nhdsKer_mono, PrimeSpectrum.localization_comap_range, latticeClosure_isClosed, IsLocalization.orderIsoOfPrime_apply_coe, MeasurableSpace.disjoint_countablePartition, VitaliFamily.FineSubfamilyOn.covering_disjoint, exists_disjoint_smul_of_isCompact, disjoint_nested_nhds, MeasurableSet.exists_isOpen_symmDiff_lt, MeasureTheory.MeasurePreserving.measure_symmDiff_preimage_iterate_le, absConvexHull_eq_empty, Matroid.IsBasis'.contract_dep_iff, Matroid.delete_indep_iff, Submodule.sup_set_smul, Descriptive.Tree.mem_pullSub_short, MeasureTheory.IsSetRing.finsetSup_mem, MonotoneOn.Ioi, FirstOrder.Language.Substructure.cg_iff_empty_or_exists_nat_generating_family, Pairwise.exists_mem_filter_of_disjoint, disjoint_left_ordSeparatingSet, fixedPoints_antitone, MeasureTheory.IsSetSemiring.exists_finpartition_diff, abs_indicator_symmDiff, isLUB_supClosure, Matroid.Indep.disjoint_loops, Iio_disjoint_Ioi_of_le, Finset.pairwiseDisjoint_pair_insert, gc_lowerClosure_coe, CompleteLatticeHom.setPreimage_comp, Finsupp.disjoint_supported_supported_iff, instIsAtomistic, AlgebraicGeometry.Scheme.Hom.app_appIso_inv, isClosed_closedAbsConvexHull, MeasureTheory.MeasuredSets.edist_def, Sublattice.setLike_mem_coe, supClosure_prod, AffineIndependent.convexHull_inter, sUnion_powerset_gc, MeasureTheory.measure_symmDiff_eq_zero_iff, finsetSup'_mem_supClosure, Urysohns.CU.disjoint_C_support_lim, IsUpperSet.disjoint_lowerClosure_right, infClosure_empty, Order.Ideal.PrimePair.disjoint, Disjoint.exists_mem_filter_basis, convex_closedConvexHull, IsRetrocompact.finsetInf, closure_subset_closedAbsConvexHull, IsLocalization.map_algebraMap_ne_top_iff_disjoint, AlgebraicGeometry.Scheme.codisjoint_zeroLocus, Descriptive.Tree.drop_coe, FirstOrder.Language.Hom.eqOn_closure, SimpleGraph.deleteEdges_eq_self, HasCardinalLT.Set.isFiltered_of_aleph0_le, Submodule.coe_scott_continuous, Seminorm.ball_finset_sup', Matroid.delete_isCircuit_iff, disjoint_iUnionâ_left, Finite.convexHull_eq, Sublattice.setLike_mem_sup, supClosed_supClosure, MeasureTheory.hittingAfter_anti, SimpleGraph.ConnectedComponent.Represents.disjoint_supp_of_notMem, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.app_inv_app'_assoc, ncard_strictMono, r1_separation, isClosed_closedConvexHull, edist_indicator, OnePoint.isCompl_range_coe_infty, Finset.sup_id_set_eq_sUnion, MeasureTheory.NullMeasurableSet.symmDiff, isAddFoelner_iff, NumberField.InfinitePlace.disjoint_isReal_isComplex, PrimitiveSpectrum.gc, Antitone.Ioo, Vitali.exists_disjoint_covering_ae', Finite.encard_strictMonoOn, AddSubgroup.pairwiseDisjoint_leftCoset_cover_of_sum_neg_index_eq_zero, Matroid.IsBasis'.contract_indep_iff, Dynamics.coverEntropyInfEntourage_monotone, smul_set_symmDiffâ, balanced_absConvexHull, convexHull_subset_affineSpan, convexHull_eq_self, MeasureTheory.IsSetSemiring.disjoint_sUnion_disjointOfDiff, disjoint_closedBall_ball_iff, MeasureTheory.Measure.QuasiMeasurePreserving.limsup_preimage_iterate_ae_eq, IsLocalization.coe_primeSpectrumOrderIso_apply_coe_asIdeal, CompleteSublattice.notMem_bot, supClosure_univ, MeasureTheory.dist_indicatorConstLp_eq_norm, lowerClosure_mono, balancedHull_convexHull_subseteq_absConvexHull, PiNat.exists_disjoint_cylinder, t2_separation, Algebra.gc, NumberField.mixedEmbedding.disjoint_negAt_plusPart, PMF.toMeasure_apply_eq_zero_iff, Filter.Realizer.tendsto_iff, Ioc_disjoint_Ioi_same, latticeClosure_min, MeasureTheory.IsSetSemiring.pairwiseDisjoint_disjointOfDiffUnion, convexHull_range_eq_exists_affineCombination, convexIndependent_iff_notMem_convexHull_diff, Topology.RelCWComplex.disjoint_base_iUnion_openCell, AddAction.IsBlock.vadd_eq_or_disjoint, FirstOrder.Language.Substructure.lift_card_closure_le, FirstOrder.Language.Substructure.closure_eq, FirstOrder.Language.Substructure.mem_closure_iff_of_isRelational, Descriptive.Tree.mem_pullSub_append, FirstOrder.Language.Substructure.closure_mono, IsUltrametricDist.closedBall_eq_or_disjoint, Concept.disjoint_extent_intent, Dynamics.dynEntourage_monotone, monotone_closure, FirstOrder.Language.Substructure.closure_univ, Filter.monotone_principal, LowerAdjoint.closure_union_closure_left, FirstOrder.Language.Substructure.closure_image, AbsConvex.absConvexHull_eq, Antitone.pairwise_disjoint_on_Ico_succ, closedConvexHull_isClosed, edist_mulIndicator, Filter.mem_liminf_iff_eventually_mem, supClosure_min, Topology.RelCWComplex.disjoint_interior_base_iUnion_closedCell, Metric.closedBall_disjoint_closedBall, Matroid.setOf_dep_eq, closedAbsConvexHull_closure_eq_closedAbsConvexHull, AlgebraicGeometry.Spec.map_app, upperClosure_anti, t2Space_iff, TopologicalSpace.Opens.mk_inf_mk, Complex.rectangle_eq_convexHull, LowerAdjoint.closure_iUnion_closure, FirstOrder.Language.Substructure.cg_closure_singleton, convexHull_subset_closedConvexHull, FirstOrder.Language.Structure.fg_iff, FirstOrder.Language.Substructure.cg_closure, Monotone.pairwise_disjoint_on_Ico_succ, Dynamics.coverMincard_monotone_subset, Finset.centerMass_mem_convexHull_of_nonpos
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