instEmptyCollection 📖 | CompOp | 441 mathmath: Fintype.univ_empty, bot_eq_empty, Affine.Simplex.isTangentAt_insphere_iff_eq_touchpoint, empty_inter, mulEnergy_self_eq_zero_iff, Finpartition.empty_parts, YoungDiagram.cells_bot, add_empty, SimpleGraph.cliqueFinset_eq_empty_iff, mul_empty, powerset_eq_singleton_empty, empty_vsub, Nat.properDivisors_zero, empty_mul, Set.Sized.empty_mem_iff, Ico_eq_empty, Nat.finMulAntidiag_zero_right, fold_const, prod_empty, coe_eq_empty, Geometry.SimplicialComplex.ofErase_faces, empty_product, isEmpty_coe_sort, seqRight_def, Equiv.Perm.cycleFactorsFinset_eq_empty_iff, image_empty, not_nonempty_empty, Cycle.nil_toFinset, vadd_eq_empty, Equiv.Perm.support_eq_empty_iff, gcd_empty, UniqueFactorizationMonoid.primeFactors_zero, Rel.edgeDensity_empty_right, MvPolynomial.support_monomial, empty_ssubset, filter_const, Mathlib.Meta.NormNum.Finset.prod_empty, coe_empty, sumLexLift_inr_inl, sort_empty, Affine.Simplex.touchpoint_empty_injective, empty_diffs, Finsupp.support_zero, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Fintype.filter_piFinset_of_notMem, image₂_eq_empty_iff, subset_empty, Nat.properDivisors_one, Sum.Lex.Ioo_inr_inl, falling_zero_subset, Option.toFinset_none, Nat.properDivisors_eq_empty, disjSum_empty, FreeAbelianGroup.support_zero, memberSubfamily_image_erase, disjSups_singleton, ssubset_singleton_iff, Set.Finite.toFinset_eq_empty, SimpleGraph.edgeDensity_empty_right, Multiset.toFinset_eq_empty, Affine.Simplex.sign_touchpointWeights_empty, Equiv.Perm.support_one, vadd_empty, Ico_self, empty_union, Set.toFinset_eq_empty, disjoint_self_iff_empty, nsmul_empty, filter_false, MvPolynomial.support_eq_empty, Turing.PartrecToTM2.contSupp_halt, subset_map_inl, inter_sdiff_self, add_eq_empty, attach_eq_empty_iff, Lagrange.nodal_empty, prod_empty', insert_empty, Sum.Ioc_inl_inr, finsuppAntidiag_empty_of_ne_zero, piAntidiag_empty, nsmul_eq_empty, filter_empty, SkewMonoidAlgebra.support_eq_empty, Affine.Simplex.isTangentAt_insphere_touchpoint, SimpleGraph.interedges_empty_left, MvPolynomial.coeffs_C, Set.biUnion_empty_finset, image_eq_empty, eraseNone_none, Affine.Simplex.affineSpan_faceOpposite_eq_orthRadius_insphere, inter_compl, eq_empty_of_forall_notMem, weightedVSub_empty, image₂_empty_right, Polynomial.coeffs_empty_iff, seqLeft_def, Rel.interedges_empty_left, Affine.Simplex.ExcenterExists.excenter_eq_incenter_iff, offDiag_singleton, truncatedSup_empty, Sum.Ioo_inl_inr, Cycle.toFinset_eq_nil, Ico_inter_Ico_consecutive, IsMin.finsetIio_eq, SkewPolynomial.support_zero, diffs_eq_empty, filter_fst_eq_antidiagonal, Affine.Simplex.excenter_empty, range_eq_empty_iff, addEnergy_empty_left, upShadow_empty, Finpartition.part_eq_empty, erase_eq_empty_iff, not_nonempty_iff_eq_empty, val_eq_zero, Affine.Simplex.touchpointWeights_empty_pos, eq_empty_iff_forall_notMem, nonMemberSubfamily_image_insert, preimage_empty, UniqueFactorizationMonoid.primeFactors_one, powersetCard_card_add, Finpartition.parts_eq_empty_iff, expect_empty, univ_eq_empty, sumLexLift_eq_empty, BoxIntegral.Prepartition.bot_boxes, filter_false_of_mem, empty_zpow, range_filter_eq, List.toFinset_eq_empty_iff, sdiff_inter_self, Equiv.Perm.cycleFactorsFinset_one, vsub_eq_empty, sup_empty, sups_eq_empty, sumLift₂_eq_empty, singleton_inter_of_notMem, DFinsupp.support_eq_empty, sups_empty, primitiveRoots_zero, mulEnergy_empty_right, Affine.Simplex.excenterWeights_empty_lt_inv_two, Lagrange.basis_empty, Equiv.Perm.support_cycleOf_eq_nil_iff, mulConst_empty_left, Affine.Simplex.exradius_empty, filter_False, Fintype.univ_pempty, Sum.Lex.Icc_inr_inl, Icc_eq_empty_of_lt, min_empty, not_ssubset_empty, MulAction.stabilizer_finset_empty, infs_eq_empty, fold_union_empty_singleton, memberSubfamily_nonMemberSubfamily, supIndep_empty, zsmul_eq_empty, vsub_empty, DFinsupp.support_zero, PairReduction.pairSet_empty_eq_empty, diag_eq_empty, shatters_empty, Sum.Lex.Ioc_inr_inl, Nat.primeFactors_zero, Fintype.piFinset_empty, Ioc_eq_empty, Ioi_eq_empty, filter_eq', truncatedInf_empty, disjSum_eq_empty, Affine.Simplex.dist_incenter_eq_dist_incenter, addRothNumber_empty, diffs_empty, empty_infs, biUnion_empty, dens_empty, exists_mem_empty_iff, toLeft_eq_empty, Ico_filter_le_of_right_le, lcm_empty, eq_empty_of_ssubset_singleton, compl_univ, sub_eq_empty, Ioo_self, Ioc_eq_empty_iff, Ioc_self, Behrend.sphere_zero_right, product_eq_empty, mul_eq_empty, sym2_empty, Affine.Simplex.excenterWeightsUnnorm_empty_apply, Sum.Ioo_inr_inl, Affine.Simplex.inradius_eq_abs_inv_sum, union_eq_empty, Nat.divisors_eq_empty, Set.toFinset_empty, filter_snd_eq_antidiagonal, fold_empty, Geometry.SimplicialComplex.empty_notMem, empty_sups, Finpartition.empty_notMem_parts, compl_empty, smul_finset_empty, Sum.Icc_inl_inr, divConst_empty_left, image₂_empty_left, Part.toFinset_none, MeasureTheory.GridLines.T_empty, subset_one_iff_eq, min_eq_top, Nat.primesBelow_zero, notMem_empty, filterMap_empty, List.support_sum_eq, List.mem_foldr_sup_support_iff, SimpleGraph.isNClique_empty, neg_empty, shadow_singleton, shadow_singleton_empty, empty_mem_powerset, Set.Finite.toFinset_empty, Affine.Triangle.affineSpan_pair_eq_orthRadius_insphere, filter_eq_empty_iff, BoxIntegral.Prepartition.splitMany_empty, zpow_eq_empty, SkewMonoidAlgebra.support_zero, Rel.edgeDensity_empty_left, max_eq_bot, Fintype.piFinset_eq_empty, Multiset.toFinset_zero, mulRothNumber_empty, not_nontrivial_empty, Sum.Lex.Ico_inr_inl, Ioo_eq_empty_of_le, instLawfulSingleton, disjoint_iff_inter_eq_empty, FreeAddMonoid.symbols_zero, Multiset.toFinset_replicate, inter_singleton_of_notMem, Nat.primeFactors_one, Affine.Simplex.incenter_eq_affineCombination, Fintype.univ_ofIsEmpty, SimpleGraph.isNClique_zero, max_empty, Function.updateFinset_empty, Nat.antidiagonalTuple_zero_succ, Nonempty.empty_ssubset, centerMass_empty, union_empty, toList_empty, inter_singleton, sdiff_eq_empty_iff_subset, sym_eq_empty, mk_zero, disjiUnion_empty, pi_empty, compl_eq_univ_iff, empty_sdiff, Behrend.box_zero, shadow_empty, vadd_finset_empty, empty_pow, Ioo_eq_empty_iff, Ico_eq_empty_of_le, mulEnergy_eq_zero_iff, inf_empty, card_empty, piAntidiag_empty_zero, addEnergy_self_eq_zero_iff, Affine.Simplex.sign_signedInfDist_touchpoint_empty, pow_eq_empty, SimpleGraph.edgeDensity_empty_left, smul_finset_eq_empty, Nat.primeFactors_eq_empty, eq_empty_of_isEmpty, Affine.Simplex.sign_excenterWeights_empty, toRight_eq_empty, MvPolynomial.vars_one, Mathlib.Meta.NormNum.Finset.sum_empty, SkewPolynomial.support_eq_empty, MeasureTheory.SimpleFunc.range_eq_empty_of_isEmpty, sigma_eq_empty, shadow_iterate_empty, Sum.Icc_inr_inl, finsuppAntidiag_empty_zero, SimpleGraph.edgeFinset_bot, card_eq_zero, empty_mem_ssubsets, SimpleGraph.cliqueSet_zero, subset_zero_iff_eq, finsuppAntidiag_empty, List.support_sum_subset, empty_covBy_singleton, disjoint_empty_right, toList_eq_nil, empty_add, MvPolynomial.vars_C, Colex.isInitSeg_empty, Affine.Simplex.exsphere_empty, Equiv.Perm.support_refl, SimpleGraph.Walk.exists_mem_support_mem_erase_mem_support_takeUntil_eq_empty, Finsupp.graph_zero, Ioo_eq_empty, sum_empty', div_empty, instIsEmpty, pimage_empty, subtype_eq_empty, card_le_card_biUnion_add_card_fiber, sym2_eq_empty, subConst_empty_right, subset_singleton_iff, div_eq_empty, cons_empty, Finpartition.nonUniforms_bot, addEnergy_empty_right, Iio_bot, mulConst_empty_right, Lagrange.interpolate_empty, Ioi_top, addConst_empty_left, smul_empty, UniqueFactorizationMonoid.primeFactors_eq_empty_iff, offDiag_empty, Sum.Ico_inl_inr, dens_eq_zero, MvPolynomial.support_zero, Ico_filter_lt_of_le_left, powersetCard_zero, product_empty, symmDiff_eq_empty, vadd_finset_eq_empty, infs_empty, disjSups_empty_right, empty_ssubset_singleton, Affine.Triangle.sbtw_touchpoint_empty, addConst_empty_right, Polynomial.support_eq_empty, Affine.Simplex.touchpoint_empty_notMem_affineSpan_of_ne, SimpleGraph.edgeFinset_eq_empty, Icc_eq_empty, Affine.Simplex.excenterWeights_empty_pos, Colex.toColex_empty, Finsupp.support_eq_empty, mulEnergy_empty_left, subset_map_inr, Finsupp.graph_eq_empty, singleton_inter, Nat.factoredNumbers_empty, zsmul_empty, DirectSum.support_zero, sym_empty, compls_eq_empty, empty_subset, empty_val, empty_div, sum_empty, neg_eq_empty, disjoint_empty_left, Affine.Simplex.sum_excenterWeightsUnnorm_empty_pos, map_empty, powerset_empty, sdiff_empty, sdiff_self, FreeMonoid.symbols_one, Nat.divisorsAntidiagonal_zero, sum_powerset_neg_one_pow_card, piecewise_empty, IsMax.finsetIoi_eq, inv_eq_empty, Int.divisorsAntidiag_zero, univ_finset_of_isEmpty, AddAction.stabilizer_finset_empty, compls_empty, Ico_eq_empty_iff, filter_singleton, Polynomial.coeffs_zero, Mathlib.Meta.Finset.range_zero', pi_eq_empty, Polynomial.nthRootsFinset_zero, disjSups_empty_left, UniqueFactorizationMonoid.primeFactors_of_isUnit, Nat.finMulAntidiag_zero_left, Ioc_eq_empty_of_le, Nat.multinomial_empty, map_eq_empty, Affine.Simplex.excenterExists_empty, sub_empty, memberSubfamily_memberSubfamily, piAntidiag_empty_of_ne_zero, attach_empty, erase_empty, empty_disjSum, SimpleGraph.CliqueFree.cliqueFinset, empty_toList, subConst_empty_left, List.toFinset_nil, Sum.Ioc_inr_inl, AlternatingGroup.map_subtype_of_cycleType, powersetCard_eq_empty, univ_finset_eq_singleton_empty_iff, Finsupp.neLocus_eq_empty, Affine.Simplex.dist_incenter, MeasureTheory.lmarginal_empty, divConst_empty_right, empty_vadd, MvPolynomial.coeffs_eq_empty_of_subsingleton, erase_singleton, inter_empty, Finmap.keys_empty, addEnergy_eq_zero_iff, sigmaLift_eq_empty, eraseNone_empty, Polynomial.support_zero, MvPolynomial.coeffs_zero, Icc_eq_empty_iff, Affine.Simplex.touchpoint_empty_mem_interior_faceOpposite, MvPolynomial.support_C, powersetCard_empty_subsingleton, DFinsupp.neLocus_eq_empty, univ_eq_empty_iff, empty_sub, diag_empty, inv_empty, eq_empty_or_nonempty, MvPolynomial.vars_0, compl_eq_empty_iff, filter_eq, Colex.ofColex_bot, Sum.Ico_inr_inl, Polynomial.support_X_empty, Affine.Simplex.touchpoint_mem_insphere, range_zero, empty_smul, Nat.divisors_zero, disjoint_of_subset_iff_left_eq_empty, Iio_eq_empty, Finpartition.atomise_empty, smul_eq_empty
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instOrderBot 📖 | CompOp | 197 mathmath: bot_eq_empty, Finpartition.ofExistsUnique_parts, pairwiseDisjoint_singleton_iff_injOn, zero_mem_sub_iff, sup_singleton_eq_self, Finpartition.IsEquipartition.filter_ne_average_add_one_eq_average, disjoint_insert_erase, disjoint_map, product_self_eq_disjiUnion_perm_aux, bind_def, Finpartition.equitabilise_aux, pairwiseDisjoint_range_singleton, SzemerediRegularity.a_add_one_le_four_pow_parts_card, isAtom_iff, disjoint_erase_insert, DFinsupp.disjoint_iff, disjoint_coe, pairwiseDisjoint_coe, SimpleGraph.isBipartiteWith_neighborFinset_disjoint, Finpartition.card_filter_equitabilise_big, disjoint_union_right, Finpartition.IsEquipartition.card_biUnion_offDiag_le', symmDiff_eq_union_iff, disjoint_filter_filter_neg, mem_sup, SimpleGraph.regularityReduced_adj, Finpartition.IsEquipartition.card_large_parts_eq_mod, Finpartition.indiscrete_isEquipartition, one_mem_div_iff, exists_disjoint_union_of_even_card, Finpartition.parts_bot, Finpartition.mk_mem_nonUniforms, disjoint_image, Rel.card_interedges_finpartition, disjoint_self_iff_empty, Multiset.support_sum_subset, Function.update_updateFinset, support_sum_subset, Finpartition.isEquipartition_iff_card_parts_eq_average, Finsupp.disjoint_iff, SupIndep.sup, MeasureTheory.IsSetSemiring.disjointOfUnion_props, Ico_disjoint_Ico_consecutive, seq_def, SimpleGraph.neighborFinset_disjoint_singleton, zero_mem_neg_add_iff, PairReduction.disjoint_smallBall_logSizeBallSeq, Finpartition.card_parts_le_card, sdiff_eq_self_iff_disjoint, card_Iio_finset, Finpartition.bot_isUniform, Finpartition.top_isEquipartition, Equiv.Perm.Disjoint.disjoint_cycleFactorsFinset, Multiset.mem_sup_map_support_iff, pairwiseDisjoint_smul_iff, Set.disjoint_toFinset, SimpleGraph.disjoint_edgeFinset, Finpartition.card_nonuniformWitnesses_le, SimpleGraph.IsTuranMaximal.card_parts_le, Rel.card_interedges_finpartition_right, Finpartition.IsEquipartition.sum_nonUniforms_lt', Finpartition.exists_mem, Set.pairwiseDisjoint_filter, disjoint_or_nonempty_inter, Finpartition.mem_atomise, one_mem_inv_mul_iff, SimpleGraph.neighborFinset_boxProd, Finpartition.IsEquipartition.card_small_parts_eq_mod, disjoint_filter, Nat.disjoint_divisors_filter_isPrimePow, Numbering.disjoint_prefixed_prefixed, not_disjoint_iff_nonempty_inter, card_union_eq_card_add_card, SimpleGraph.isBipartiteWith_neighborFinset_disjoint', IsPrimitiveRoot.disjoint, disjoint_iff_ne, pairwiseDisjoint_iff, mem_sup_support_iff, Finpartition.part_mem, Finpartition.exists_enumeration, Finpartition.mem_part_iff_exists, not_linearIndependent_iffₒₛ, List.disjoint_toFinset_iff_disjoint, Equiv.Perm.ofSign_disjoint, disjoint_filter_filter_not, Set.Intersecting.disjoint_map_compl, disjoint_map_inl_map_inr, disjoint_Ioi_Iio, Finpartition.exists_equipartition_card_eq, not_addDissociated_iff_exists_disjoint, Finpartition.card_atomise_le, disjoint_insert_right, sup_eq_biUnion, disjoint_sdiff, szemeredi_regularity, pairwiseDisjoint_map_sigmaMk, Finpartition.coe_energy, Finpartition.biUnion_parts, Finpartition.empty_notMem_parts, disjiUnion_singleton, zero_notMem_sub_iff, Iic_eq_powerset, Finpartition.card_mod_card_parts_le, SimpleGraph.unreduced_edges_subset, disjoint_range_addLeftEmbedding, Finpartition.mem_bot_iff, Iic_disjoint_Ioc, disjoint_iff_inter_eq_empty, not_mulDissociated_iff_exists_disjoint, disjoint_singleton, subset_sdiff, Finpartition.ofSetoid_parts_val, sup_singleton_apply, disjoint_filter_filter', Multiset.disjoint_toFinset, disjoint_product, isAtom_singleton, pairwiseDisjoint_piAntidiag_map_addRightEmbedding, Finpartition.card_filter_atomise_le_two_pow, Ioc_disjoint_Ioc_of_le, Finsupp.support_single_disjoint, Nonempty.not_disjoint, disjoint_biUnion_left, Equiv.Perm.Disjoint.disjoint_support, List.pairwiseDisjoint_consFixedLengthDigits, disjoint_val, mem_shadow_iterate_iff_exists_card, Finpartition.nonempty_of_not_uniform, pairwiseDisjoint_vadd_iff, disjoint_empty_right, Finpartition.existsUnique_mem, Finpartition.card_filter_equitabilise_small, powersetCard_sup, disjoint_insert_left, Finpartition.card_bot, exists_disjoint_union_of_even_card_iff, Finpartition.card_parts_equitabilise, card_Iic_finset, Set.Finite.disjoint_toFinset, Nat.disjoint_primeFactors, Finpartition.nonUniforms_bot, SimpleGraph.IsTuranMaximal.card_parts, disjoint_right, one_notMem_inv_mul_iff, Finpartition.mk_mem_sparsePairs, Finpartition.IsEquipartition.exists_partsEquiv, MeasureTheory.IsSetSemiring.pairwiseDisjoint_disjointOfUnion, disjoint_sdiff_inter, one_notMem_div_iff, BoxIntegral.Prepartition.disjoint_boxes_of_disjoint_iUnion, Rel.card_interedges_finpartition_left, disjoint_biUnion_right, SzemerediRegularity.coe_m_add_one_pos, SimpleGraph.disjoint_sdiff_neighborFinset_image, disjoint_singleton_right, powerset_card_disjiUnion, UV.compress_disjoint, disjoint_singleton_left, Iio_eq_ssubsets, disjoint_diag_offDiag, disjoint_empty_left, disjoint_box_succ_prod, disjoint_filter_and_not_filter, Finpartition.sum_card_parts, disjoint_union_left, Nat.Coprime.disjoint_primeFactors, disjoint_left, UniqueFactorizationMonoid.disjoint_primeFactors, MeasureTheory.IsSetSemiring.disjoint_disjointOfDiffUnion, sym_succ, Equiv.Perm.ofSubtype_support_disjoint, sup_toFinset, MvPolynomial.disjoint_support_monomial, Ioc_disjoint_Ioc, Finpartition.IsEquipartition.exists_partPreservingEquiv, Finpartition.biUnion_filter_atomise, subset_compl_iff_disjoint_left, Equiv.Perm.disjoint_iff_disjoint_support, sdiff_disjoint, disjoint_range_addRightEmbedding, SimpleGraph.singleton_disjoint_neighborFinset, zero_notMem_neg_add_iff, pairwiseDisjoint_slice, IsAntichain.disjoint_slice_shadow_falling, Finpartition.not_isEquipartition, pairwise_disjoint_powersetCard, disjoint_erase_comm, Finpartition.bot_isEquipartition, Finpartition.part_surjOn, Finpartition.exists_subset_part_bijOn, mul_eq_mul_prime_prod, subset_compl_iff_disjoint_right, not_disjoint_iff, disjoint_of_subset_iff_left_eq_empty, Finpartition.IsEquipartition.card_interedges_sparsePairs_le', Finpartition.atomise_empty, Finpartition.ofSetSetoid_parts
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