Embedding 📖 | CompData | 535 mathmath: AddAction.IsPretransitive.of_embedding, instEmbeddingLikeEmbedding, univLE_iff_exists_embedding, RootPairing.rootForm_self_smul_coroot, SimpleGraph.UnitDistEmbedding.iso_p_apply, RootPairing.RootPositiveForm.algebraMap_rootLength, Finset.weightedVSubOfPoint_map, Fin.univ_map_def, RootPairing.posRootForm_posForm_apply_apply, RootPairing.four_nsmul_coPolarization_compl_polarization_apply_root, Fin.coe_succEmb, Finset.sum_map', Finsupp.embDomain_apply, RootPairing.linearIndepOn_root_baseOf', AddSubgroup.quotientiInfAddSubgroupOfEmbedding_apply_mk, RootPairing.Polarization_apply, HahnSeries.SummableFamily.embDomain_apply, RootPairing.coroot_eq_polarizationEquiv_apply_root, Finset.prod_map', Finset.map_filter', Finset.map_zero, RootPairing.instIsRootSystemSubtypeMemSubmoduleSpanRangeCoeEmbeddingRootCorootRestrictScalars', Embedding.isEmpty_of_card_lt, RootPairing.Base.span_coroot_support, Cardinal.lift_mk_le, Embedding.coeWithTop_apply, Fin.natAddEmb_apply, Embedding.coe_refl, SimpleGraph.isClique_map_image_iff, Equiv.embeddingCongr_trans, RootPairing.reflectionPerm_eq_iff_smul_root, RootPairing.Hom.root_weightMap, Cardinal.extend_function_finite, Embedding.sigmaMk_apply, RootPairing.root_coroot_two, Cardinal.mk_embedding_le_arrow, Embedding.coe_smul, RootPairing.restrictScalars_coe_coroot, SimpleGraph.leftInverse_comap_map, Embedding.smul_apply, ODE.FunSpace.isUniformInducing_toContinuousMap, RootPairing.Base.sub_notMem_range_coroot, Embedding.subtype_injective, RootPairing.coreflection_image_eq, BoxIntegral.IntegrationParams.tendsto_embedBox_toFilteriUnion_top, Embedding.setValue_eq, Set.powersetCard.ofFinEmb_surjective, RootPairing.Base.root_mem_span_int, Cardinal.mk_equiv_le_embedding, SimpleGraph.TripartiteFromTriangles.toTriangle_surjOn, LieAlgebra.IsKilling.rootSystem_coroot_apply, Embedding.embFinTwo_apply_zero, RootPairing.zero_notMem_range_root, Embedding.sumSet_apply, RootPairing.InvariantForm.pairing_mul_eq_pairing_mul_swap, ODE.FunSpace.range_toContinuousMap, RootPairing.root_sub_root_mem_of_pairingIn_pos, Finset.forall_mem_map, Embedding.instIsCentralScalar, Embedding.image_apply, RootPairing.span_orbit_eq_top, Embedding.sectR_apply, Embedding.sumSet_range, RootPairing.Hom.root_weightMap_apply, SimpleGraph.map_edgeFinset_induce_of_support_subset, RootPairing.invtRootSubmodule.eq_top_iff, Multiset.coeEquiv_apply_coe, LTSeries.exists_relSeries_covBy_and_head_eq_bot_and_last_eq_bot, Equiv.embeddingEquivOfFinite_apply, Embedding.exists_of_card_le_finset, RootPairing.coxeterWeightIn_eq_four_iff_not_linearIndependent, RootPairing.Base.cartanMatrix_apply_eq_zero_iff, RootPairing.root_coroot_eq_pairing, SymOptionSuccEquiv.decode_inr, Equiv.coe_toEmbedding, Finset.inf_map, Set.Definable.image_comp_embedding, RootPairing.RootPositiveForm.zero_lt_posForm_iff, RootPairing.Base.linearIndependent_pair_of_ne, RootPairing.Base.linearIndepOn_coroot, Finset.weightedVSub_map, RootPairing.coroot_eq_smul_coroot_iff, RootPairing.toPerfPair_comp_root, Matroid.Indep.exists_eq_image_of_mapSetEmbedding, Cardinal.mk_image_embedding, RootPairing.mapsTo_reflection_root, Embedding.nonempty_iff_card_le, SimpleGraph.card_edgeFinset_map, RootPairing.root'_coroot_eq_pairing, RootPairing.injOn_dualMap_subtype_span_root_coroot, Injective.mulActionHom_embedding_apply, RootPairing.restrictScalars_pairing, RootPairing.zero_notMem_range_coroot, addRightEmbedding_apply, RelEmbedding.preimage_apply, Embedding.arrowCongrLeft_apply, RootPairing.Base.exists_root_eq_sum_nat_or_neg, RootPairing.reflection_apply_root', finprod_emb_domain, Fin.nonempty_embedding_iff, Fin.natAdd_castLEEmb_apply_val, AffineIndependent.comp_embedding, Subgroup.quotientCentralizerEmbedding_apply, Embedding.vadd_apply, Set.Finite.preimage_embedding, RootPairing.IsOrthogonal.reflection_apply_left, RootPairing.pairing_one_four_iff', Embedding.sigmaSet_apply, Equiv.asEmbedding_apply, Multiset.coeEmbedding_apply, Cardinal.mk_image_embedding_lift, Fin.Embedding.restrictSurjective_of_le_natCard, RootPairing.IsReduced.linearIndependent_iff, Finsupp.embDomain_single, Finset.inf'_map, Embedding.setValue_eq_iff, Finset.centroid_map, RootPairing.exist_set_root_not_disjoint_and_le_ker_coroot'_of_invtSubmodule, Fin.Embedding.exists_embedding_disjoint_range_of_add_le_Nat_card, Polynomial.revAt_zero, RootPairing.Base.coroot_mem_span_int, RootPairing.IsOrthogonal.coreflection_apply_right, SimpleGraph.edgeFinset_map, RootPairing.neg_mem_range_coroot_iff, Fin.Embedding.restrictSurjective_of_le_ENatCard, Subgroup.quotientSubgroupOfEmbeddingOfLE_apply_mk, IndexedPartition.proj_out, Polynomial.revAt_eq_self_of_lt, SimpleGraph.Embedding.mapNeighborSet_apply_coe, SummationFilter.support_map, ConvexIndependent.comp_embedding, Finset.sum_map, RootPairing.linearIndependent_iff_coxeterWeightIn_ne_four, RootPairing.weylGroup_apply_root, RelEmbedding.coe_toEmbedding, Sym2.mkEmbedding_apply, Fin.succAboveEmb_apply, SubAddAction.ofFixingAddSubgroup.append_left, RootPairing.Equiv.root_indexEquiv_eq_smul, Matroid.mapEmbedding_isBase_iff, Injective.mulActionHom_embedding_isInjective, Matroid.Indep.mapEmbedding, RootPairing.RootPositiveForm.exists_eq, RelIso.coe_toEmbedding, Equiv.toEmbedding_injective, Module.Basis.SmithNormalForm.repr_apply_embedding_eq_repr_smul, Equiv.embeddingCongr_symm, RootPairing.rootForm_root_self, Set.powersetCard.addActionHom_of_embedding_surjective, RootPairing.EmbeddedG2.indexEquivAllRoots_symm_apply, Fintype.card_embedding_eq_of_unique, Set.ncard_map, finsum_emb_domain, Embedding.optionEmbeddingEquiv_apply_snd_coe, RootPairing.root_add_root_mem_of_pairingIn_neg, SubMulAction.exists_smul_of_last_eq, MvPolynomial.coeff_rename_embDomain, RootPairing.InvariantForm.exists_apply_eq_or, Cardinal.mk_embedding_eq_zero_iff_lift_lt, MulAction.toFun_apply, Finset.map_one, Equiv.toEmbedding_apply, RootPairing.reflectionPerm_coroot, Embedding.coe_subtype, Embedding.arrowCongrRight_apply, Embedding.optionMap_apply, addLeftEmbedding_apply, Equiv.embeddingCongr_refl, Matroid.mapEmbedding_ground_eq, Embedding.sumSet_preimage_inr, Equiv.embeddingFinSucc_snd, mulRightEmbedding_apply, Embedding.swap_apply, Polynomial.rootsExpandPowToRoots_apply, Embedding.coe_sigmaSet, Cardinal.extend_function_of_lt, Polynomial.reflect_monomial, Matroid.mapEmbedding_indep_iff, AddSubgroup.quotientiInfEmbedding_apply_mk, Equiv.Perm.viaFintypeEmbedding_apply_image, Fin.Embedding.coe_tail, SimpleGraph.comap_symm, MulAction.oneEmbedding_isPretransitive_iff, Set.powersetCard.coe_ofFinEmb, Finset.map_insert, Matroid.mapSetEmbedding_indep_iff', Module.Basis.SmithNormalForm.snf, RootPairing.pairing_neg_one_neg_four_iff, AddAction.zeroEmbedding_isPretransitive_iff, SimpleGraph.cliqueFinset_map_of_equiv, SimpleGraph.map_adj, Finsupp.prod_embDomain, nonempty_embedding_to_cardinal, Bijective.mulActionHom_embedding_isBijective, SimpleGraph.comap_surjective, Fin.valEmbedding_apply, SimpleGraph.TripartiteFromTriangles.is3Clique_iff, Embedding.trans_apply, RootPairing.bijOn_reflection_root, RootPairing.chainTopCoeff_eq_zero_iff, RootPairing.posRootForm_posForm_pos_of_ne_zero, Fin.Embedding.exists_embedding_disjoint_range_of_add_le_ENat_card, Nat.castEmbedding_apply, Finsupp.sum_embDomain, SummationFilter.comap_filter, Embedding.instSMulCommClass, Embedding.congr_apply, Set.powersetCard.coe_map, ODE.FunSpace.toContinuousMap_apply_eq_apply, RootPairing.isReduced_iff', RootPairing.prod_rootForm_smul_coroot_mem_range_domRestrict, MulAction.is_zero_pretransitive, Embedding.sym2Map_apply, RootPairing.Hom.coroot_coweightMap, SimpleGraph.map_neighborFinset_induce_of_neighborSet_subset, SimpleGraph.degree_induce_support, SimpleGraph.UnitDistEmbedding.unit_dist, Finset.affineCombination_map, Set.powersetCard.mem_ofFinEmb_iff_mem_range, RootPairing.IsG2.span_eq_rootSpan_int, Finset.sup'_comp_eq_map, AddAction.is_zero_pretransitive, Finsupp.mapDomainEmbedding_apply, Set.embeddingOfSubset_apply_coe, SimpleGraph.map_adj_apply, RootPairing.toPerfPair_flip_comp_coroot, Finset.map_toFinset, Polynomial.reflect_support, RootPairing.reflectionPerm_root, Polynomial.coeff_reflect, RootPairing.invtRootSubmodule.eq_bot_iff, Embedding.instVAddCommClass, Embedding.coeWithBot_apply, RootPairing.coreflection_apply_self, Embedding.setValue_right_apply_eq, RootPairing.linearIndepOn_root_baseOf, Polynomial.revAt_le, RootPairing.linearIndependent_iff_coxeterWeight_ne_four, SimpleGraph.TripartiteFromTriangles.cliqueSet_eq_image, RootPairing.bijOn_coreflection_coroot, Bijective.addActionHom_embedding_isBijective, Fin.coe_castSuccEmb, SimpleGraph.cliqueFinset_map, Embedding.smul_def, Finsupp.linearCombination_embDomain, RootPairing.IsRootSystem.span_root_eq_top, RootPairing.zero_le_posForm, SimpleGraph.map_symm, RootPairing.coroot_eq_neg_iff, SimpleGraph.TripartiteFromTriangles.cliqueFinset_eq_image, RootPairing.IsReduced.linearIndependent, RootPairing.root_eq_neg_iff, Subgroup.quotientiInfSubgroupOfEmbedding_apply_mk, RootPairing.Base.linearIndepOn_root, RootPairing.Base.toCoweightBasis_apply, RootPairing.IsOrthogonal.reflection_apply_right, Fin.Embedding.restrictSurjective_of_add_le_ENatCard, Embedding.refl_apply, SimpleGraph.TripartiteFromTriangles.toTriangle_is3Clique, Matroid.IsBasis.mapEmbedding, Finsupp.embDomain_apply_self, RootPairing.Base.span_int_root_support, RootPairing.PolarizationIn_apply, uncountable_iff_isEmpty_embedding, subtypeOrLeftEmbedding_apply_left, RootPairing.Base.toCoweightBasis_repr_coroot, Fin.castAddEmb_apply, Subtype.impEmbedding_apply_coe, AddSubgroup.quotientiInfEmbedding_apply, Embedding.right_inv_of_invOfMemRange, RootPairing.coroot_root_two, Equiv.asEmbedding_range, AddAction.toFun_apply, SimpleGraph.IsAcyclic.of_comap, Matroid.mapSetEmbedding_indep_iff, Embedding.toFun_eq_coe, RootPairing.CoPolarization_apply, SimpleGraph.UnitDistEmbedding.embed_p_apply, Embedding.sigmaSet_range, Set.Finite.fin_embedding, RootPairing.RootPositiveForm.two_mul_apply_root_root, Embedding.piCongrRight_apply, RootPairing.prod_rootFormIn_smul_coroot_mem_range_PolarizationIn, SubAddAction.ofStabilizer.snoc_last, SimpleGraph.coe_recolorOfEmbedding, SimpleGraph.Iso.comap_apply, Finset.sup_map, Embedding.coe_quotientOut, SimpleGraph.map_neighborFinset_induce, RootPairing.algebraMap_posRootForm_posForm, MulAction.IsPretransitive.of_embedding, Finset.sup'_map, SubMulAction.ofStabilizer.snoc_last, Set.powersetCard.coe_addActionHom_of_embedding, IndexedPartition.out_proj, Finset.fold_map, SubMulAction.ofStabilizer.snoc_castSucc, Subgroup.quotientiInfEmbedding_apply_mk, RootPairing.restrictScalars_coe_root, Embedding.sumSet_preimage_inl, Equiv.embeddingEquivOfFinite_symm_apply, AddAction.IsPretransitive.of_embedding_congr, Equiv.Perm.viaEmbedding_apply, SimpleGraph.UnitDistEmbedding.subsingleton_p_apply, Subgroup.quotientiInfEmbedding_apply, RootPairing.reflection_apply_self, RootPairing.InvariantForm.apply_eq_or_aux, Finset.supIndep_map, Fin.Embedding.restrictSurjective_of_add_le_natCard, Embedding.total, Equiv.embeddingCongr_apply, Finset.map_cons, Embedding.invFun_restrict, SubMulAction.ofFixingSubgroup.append_left, RootPairing.pairingIn_one_four_iff, Injective.addActionHom_embedding_isInjective, Matrix.submatrix_one_embedding, RootPairing.pairingIn_neg_one_neg_four_iff, RootPairing.neg_root_mem, Finset.map_eq_image, SimpleGraph.isClique_map_iff_of_nontrivial, RootPairing.RootPositiveForm.isSymm_posForm, Embedding.coe_trans, nonempty_embedding_nat, OrthogonalIdempotents.embedding, Embedding.coe_vadd, SimpleGraph.degree_induce_of_neighborSet_subset, Polynomial.reflect_C_mul_X_pow, RootPairing.coroot_root_eq_pairing, SubMulAction.ofFixingSubgroup.append_right, Embedding.toEquivRange_eq_ofInjective, Equiv.embeddingFinSucc_fst, RootPairing.polarizationEquiv_symm_apply_coroot, RootPairing.Base.exists_root_eq_sum_int, RootPairing.linearIndepOn_coroot_iff, BoxIntegral.Box.splitCenterBoxEmb_apply, SubAddAction.ofStabilizer.snoc_castSucc, Polynomial.rootsExpandToRoots_apply, RootPairing.Base.root_mem_or_neg_mem, FixedPoints.linearIndependent_smul_of_linearIndependent, RootPairing.Base.toWeightBasis_apply, Finsupp.single_of_embDomain_single, Embedding.optionEmbeddingEquiv_symm_apply, Multiset.mapEmbedding_apply, Embedding.subtype_apply, Equiv.coe_embeddingFinSucc_symm, RootPairing.coreflection_apply, RootPairing.RootPositiveForm.exists_pos_eq, Finset.map_val, Finset.preimage_subset, LTSeries.exists_relSeries_covBy, SimpleGraph.TripartiteFromTriangles.exists_mem_toTriangle, Finset.map_singleton, RootPairing.EmbeddedG2.indexEquivAllRoots_apply_coe, BoundedContinuousFunction.dist_extend_extend, RootPairing.pairing_neg_one_neg_four_iff', Subgroup.quotientCenterEmbedding_apply, RootPairing.posRootForm_posForm_nondegenerate, Embedding.finite, Finsupp.embDomain_eq_mapDomain, SimpleGraph.Embedding.map_apply, Matrix.submatrix_diagonal_embedding, RootPairing.coxeterWeight_eq_four_iff_not_linearIndependent, Embedding.toEquivRange_symm_apply_self, Cardinal.extend_function, Encodable.instTotalPreimageNatCoeEmbeddingEncode'Le, Embedding.coeFn_mk, Embedding.injective, Embedding.setValue_eq_of_ne, MulAction.isMultiplyPretransitive_iff, AddSubgroup.quotientiInfAddSubgroupOfEmbedding_apply, Polynomial.revAtFun_eq, RootPairing.ext_iff, Cardinal.lift_mk_le', RootPairing.rootFormIn_self_smul_coroot, RootPairing.corootForm_self_smul_root, RootPairing.exists_form_eq_form_and_form_ne_zero, RootPairing.neg_coroot_mem, SimpleGraph.UnitDistEmbedding.copy_p_apply, RootPairing.Base.toWeightBasis_repr_root, SimpleGraph.mk'_apply_adj, RelEmbedding.toEmbedding_injective, Subgroup.quotientiInfSubgroupOfEmbedding_apply, RootPairing.Base.coroot_mem_or_neg_mem, RootPairing.InvariantForm.apply_root_root_zero_iff, Embedding.coe_prodMap, Finset.inf'_comp_eq_map, SimpleGraph.Embedding.comap_apply, RootPairing.pairing_smul_coroot_eq, Injective.addActionHom_embedding_apply, SimpleGraph.edgeSet_map, RootPairing.RootPositiveForm.algebraMap_apply_eq_form_iff, Embedding.sectL_apply, Module.Basis.SmithNormalForm.repr_comp_embedding_eq_smul, RootPairing.restrictScalars_toLinearMap_apply_apply, Finset.mem_map', RootPairing.pairing_smul_root_eq, Embedding.apply_eq_iff_eq, Embedding.invOfMemRange_surjective, RootPairing.InvariantForm.apply_eq_or, Cardinal.mk_embedding_eq_arrow_of_le, Finset.map_subset_iff_subset_preimage, Embedding.coe_sumMap, RootPairing.Hom.coroot_coweightMap_apply, SimpleGraph.Embedding.coe_completeGraph, Finset.map_erase, Polynomial.coeff_mirror, Embedding.coe_injective, RootPairing.Base.span_root_support, SimpleGraph.support_map, MulActionHom.oneEmbeddingMap_bijective, SubAddAction.ofFixingAddSubgroup.append_right, RootPairing.pairingIn_neg_two_neg_two_iff, RootPairing.posRootForm_posForm_anisotropic, Fintype.card_embedding_eq_of_infinite, Embedding.ext_iff, Encodable.instAntisymmPreimageNatCoeEmbeddingEncode'Le, Matroid.mapEmbedding_isBasis_iff, Finset.coe_map, SimpleGraph.card_edgeFinset_induce_support, Embedding.some_apply, Equiv.embeddingCongr_apply_trans, RootPairing.span_root_image_eq_top_of_forall_orthogonal, Finset.prod_map, RootPairing.four_smul_rootForm_sq_eq_coxeterWeight_smul, Embedding.coe_sumSet, subtypeOrLeftEmbedding_apply_right, Finset.preimage_map, SimpleGraph.degree_induce_of_support_subset, SimpleGraph.Embedding.mapEdgeSet_apply, Fin.castSuccEmb_apply, ClassGroup.mem_finsetApprox, RootPairing.Base.sub_notMem_range_root, Finset.mem_map, RootPairing.neg_mem_range_root_iff, RootPairing.Base.cartanMatrixIn_mul_diagonal_eq, RootPairing.chainBotCoeff_eq_zero_iff, HahnSeries.SummableFamily.embDomain_image, RootPairing.pairing_one_four_iff, RootPairing.IsOrthogonal.coreflection_apply_left, RootPairing.nsmul_notMem_range_root, RootPairing.Base.exists_eq_sum_and_forall_sum_mem_of_isPos, Fin.coe_castLEEmb, SummationFilter.support_comap, exists_surjective_iff, Embedding.sigmaSet_preimage, AddAction.isMultiplyPretransitive_iff, Polynomial.revAt_add, mulLeftEmbedding_apply, Finset.mem_map_of_mem, Matroid.mapSetEmbedding_ground, countable_iff_nonempty_embedding, subtypeOrEquiv_apply, Module.Basis.SmithNormalForm.toMatrix_restrict_eq_toMatrix, Fin.cycleIcc_def_le, RootPairing.RootPositiveForm.algebraMap_posForm, RootPairing.EmbeddedG2.allRoots_subset_range_root, RootPairing.reflection_apply, AddSubgroup.quotientAddSubgroupOfEmbeddingOfLE_apply_mk, BoundedContinuousFunction.extend_comp, Polynomial.revAt_invol, Embedding.instIsScalarTower, Fin.coe_castAddEmb, RootPairing.IsRootSystem.span_coroot_eq_top, Polynomial.coeff_reverse, RootPairing.root_chainTopIdx, Embedding.toEquivRange_apply, SimpleGraph.comap_map_eq, RootPairing.Base.span_int_coroot_support, RootPairing.CoPolarizationIn_apply, Embedding.inr_apply, RootPairing.coroot_reflectionPerm, Digraph.mk'_apply_Adj, RelEmbedding.map_rel_iff', RootPairing.root_coroot'_eq_pairing, IndexedPartition.index_out, Matroid.IsBase.mapEmbedding, SimpleGraph.card_edgeFinset_induce_of_support_subset, RootPairing.InvariantForm.apply_eq_or_of_apply_ne, Embedding.is_empty, RootPairing.InvariantForm.two_mul_apply_root_root, SimpleGraph.TripartiteFromTriangles.toTriangle_apply, RootPairing.coreflection_apply_coroot, Cardinal.mk_embedding_eq_zero_iff_lt, Fin.coe_succAboveEmb, SubAddAction.exists_vadd_of_last_eq, Fin.castLEEmb_apply, Finset.apply_coe_mem_map, Set.powersetCard.mem_map_iff_mem_range, SimpleGraph.coe_recolorOfCardLE, SimpleGraph.map_le_iff_le_comap, Finset.map_disjiUnion, Set.powersetCard.coe_mulActionHom_of_embedding, Fin.addNatEmb_apply, SimpleGraph.isClique_map_iff, Finset.filter_map, RootPairing.isReduced_iff, Cardinal.out_embedding, Module.Basis.SmithNormalForm.coord_apply_embedding_eq_smul_coord, SimpleGraph.map_edgeFinset_induce, Set.powersetCard.mulActionHom_of_embedding_surjective, Fintype.card_embedding_eq, RootPairing.root_chainBotIdx, SimpleGraph.map_comap_le, RootPairing.mapsTo_coreflection_coroot, Embedding.vadd_def, LieAlgebra.IsKilling.rootSystem_root_apply, Cardinal.le_def, Embedding.sigmaMap_apply, Embedding.nonempty_of_card_le, RootPairing.root_reflectionPerm, Embedding.left_inv_of_invOfMemRange, instCanLiftForallEmbeddingCoeInjective, MulAction.IsPretransitive.of_embedding_congr, SimpleGraph.Iso.comap_symm_apply, RootPairing.EmbeddedG2.mem_allRoots, Embedding.inl_apply, Embedding.swap_comp, Embedding.embFinTwo_apply_one, Matroid.mapEmbedding_isLoop_iff, RootPairing.reflection_image_eq, SimpleGraph.comap_monotone, Fin.range_natAdd_castLEEmb, BoundedContinuousFunction.extend_apply, Finset.coe_map_subset_range, Cardinal.mk_embedding_eq_arrow_of_lift_le, RootPairing.baseOf_pairwise_pairing_le_zero, Embedding.optionEmbeddingEquiv_apply_fst, SimpleGraph.card_edgeFinset_induce_compl_singleton, subtypeOrLeftEmbedding_apply, RootPairing.reflection_apply_root, RootPairing.reflectionPerm_eq_iff_smul_coroot, AddActionHom.zeroEmbeddingMap_bijective, RootPairing.pairing_neg_two_neg_two_iff, SimpleGraph.IsClique.map
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