bracket 📖 | CompOp | 278 mathmath: Submodule.exists_lieSubmodule_coe_eq_iff, LieDerivation.lie_der_ad_eq_ad_der, LieRinehartRing.lie_smul_eq_mul, DirectSum.bracket_apply, LieDerivation.ad_apply_lieDerivation, LieDerivation.iterate_apply_lie, LieIdeal.map_bracket_le, LieSubmodule.lie_sup, LinearMap.BilinForm.isSkewAdjoint_bracket, Commute.lie_eq, LieSubalgebra.isLieAbelian_lieSpan_iff, IsSolvable.commutator_lt_of_ne_bot, zsmul_lie, commutatorElement_def, AddGroupLieAlgebra.bracket_def, LieEquiv.map_lie, LieIdeal.coe_bracket_of_module, Matrix.isSkewAdjoint_bracket, leibniz_lie, DirectSum.lie_module_bracket_apply, lie_sum, Subgroup.commutator_def', commutatorElement_one_left, LieSubmodule.bot_lie, LieSubmodule.lie_abelian_iff_lie_self_eq_bot, LieRing.leibniz_lie, LieDerivation.apply_lie_eq_add, IsSl2Triple.lie_lie_smul_f, LieSubmodule.lie_le_iff, LieRing.lie_add, Subgroup.commutator_mono, LieSubmodule.comap_bracket_eq, LieSubmodule.lieIdeal_oper_eq_linear_span', LieDerivation.inner_apply_apply, LieDerivation.commutator_apply, Subgroup.commutator_le_right, commutator_mem_commutatorSet, Subgroup.commutator_prod_prod, LieAlgebra.IsKilling.chainLength_nsmul, LieModule.Cohomology.d₂₃_apply, LieModule.mem_weightSpace, LieModule.Cohomology.d₁₂_apply_apply, lie_smul, LieSubmodule.lie_bot, LieModule.lie_mem_genWeightSpaceChain_of_genWeightSpace_eq_bot_right, LieAlgebra.Extension.toKer_bracket, DirectSum.lie_of_of_ne, LieAlgebra.bracket_ofTwoCocycle, LieIdeal.comap_bracket_incl_of_le, Subgroup.quotientCentralizerEmbedding_apply, LieSubmodule.lie_top_eq_of_span_sup_eq_top, Derivation.bracket_eq_fun, LieSubmodule.lie_inf, DirectSum.lie_of, two_nsmul_lie_lmul_lmul_add_add_eq_zero, LieSubmodule.sup_lie, lie_neg, derivedSeries_succ, commutatorElement_one_right, LieRinehartRing.leibniz_mul_right, LieRingModule.toEnd_apply_apply, LieModule.mem_ker, LieRing.lie_apply, RootPairing.GeckConstruction.lie_h_e, LieSubalgebra.ideal_in_normalizer, LieAlgebra.Extension.lie_incl_mem_ker, LieAlgebra.coe_rootSpaceWeightSpaceProduct_tmul, IsSl2Triple.mem_toLieSubalgebra_iff, LieSubalgebra.exists_nested_lieIdeal_coe_eq_iff, LieSubalgebra.coe_bracket_of_module, LieHom.map_lie, LieModule.lowerCentralSeries_succ, LieSubmodule.lie_le_inf, Subgroup.commutator_le, mem_commutatorSet_iff, LieModule.lie_mem_maxGenEigenspace_toEnd, LieAlgebra.derivedSeriesOfIdeal_succ, IsSl2Triple.lie_h_e_smul, LieAlgebra.Extension.ringModuleOf_bracket, map_commutator_eq, lie_self, LieAlgebra.ad_pow_lie, LieModule.Cohomology.d₁₂_apply_coe_apply_apply, LieHom.lie_apply, LieIdeal.lcs_succ, LieSubmodule.trivial_lie_oper_zero, LieSubmodule.mono_lie_left, Derivation.commutator_coe_linear_map, LieDerivation.lie_lieDerivation_apply, Subgroup.commutator_comm, LieModule.mem_maxTrivSubmodule, LieModule.Cohomology.d₁₂_apply_apply_ofTrivial, Subgroup.commutator_pi_pi_le, FreeLieAlgebra.liftAux_map_mul, LieSubmodule.lie_comm, LieAlgebra.SpecialLinear.sl_bracket, LieRingModule.compLieHom_apply, LieSubmodule.mono_lie_right, Subgroup.commutator_le_self, LieModule.lie_traceForm_eq_zero, Subgroup.commutator_eq_bot_iff_le_centralizer, neg_lie, LieDerivation.leibniz_lie, Sylow.commutator_eq_bot_or_commutator_eq_self, LieRing.of_associative_ring_bracket, LieSubmodule.lie_mem, Module.End.lie_apply, LieIdeal.comap_bracket_le, LieDerivation.lie_apply, LieAlgebra.lie_smul, LieModule.lie_smul, two_nsmul_lie_lmul_lmul_add_eq_lie_lmul_lmul_add, commutatorElement_inv, lie_zsmul, Subgroup.commutator_bot_right, Subgroup.commutator_mem_commutator, LieSubmodule.lie_baseChange, LieModule.toModuleHom_apply, LieSubmodule.top_lie_le_iff_le_normalizer, lie_skew, IsPGroup.commutator_eq_bot_or_commutator_eq_self, LieRingModule.add_lie, Matrix.lie_apply, LieAlgebra.IsKilling.lie_eq_killingForm_smul_of_mem_rootSpace_of_mem_rootSpace_neg, LieModule.ideal_oper_maxTrivSubmodule_eq_bot, LieDerivation.lie_coe_lieDerivation_apply, smul_lie, Subgroup.commutator_def, LieModule.toEnd_lie, LieAlgebra.ExtendScalars.bracket_tmul, commutatorElement_self, sum_lie, LieModule.exists_forall_lie_eq_smul, LieRinehartRing.leibniz_smul_right, LieSubalgebra.coe_bracket, LieRing.lie_self, LieHom.isIdealMorphism_iff, LieModule.shiftedGenWeightSpace.coe_lie_shiftedGenWeightSpace_apply, LieAlgebra.ad_apply, LieAlgebra.IsKilling.lie_eq_smul_of_mem_rootSpace, lie_jacobi, Subgroup.commutator_le_inf, IsSl2Triple.HasPrimitiveVectorWith.lie_e, TensorProduct.LieModule.lie_tmul_right, LieAlgebra.Extension.bracket, LieIdeal.comap_bracket_incl, commutatorElement_eq_one_iff_commute, LieSubmodule.mem_idealizer, commutator_centralizer_commutator_le_center, IsSl2Triple.HasPrimitiveVectorWith.lie_f_pow_toEnd_f, LieDerivation.commutator_coe_linear_map, LieModule.LinearWeights.map_lie, DirectSum.lie_of_same, lie_eq_self_of_isAtom_of_nonabelian, LieModule.toEnd_pow_lie, LieModule.toEnd_apply_apply, LieSubmodule.lie_mem_lie, Module.Dual.lie_apply, LieIdeal.map_comap_bracket_eq, LieSubmodule.mono_lie, LieModule.le_max_triv_iff_bracket_eq_bot, RootPairing.GeckConstruction.lie_e_f_same, LieModule.smul_lie, RootPairing.GeckConstruction.f_lie_v_ne, LieAlgebra.matrix_trace_commutator_zero, LieSubalgebra.mem_normalizer_iff', LieSubmodule.coe_bracket, RootPairing.GeckConstruction.e_lie_v_ne, LieDerivation.SMulBracketCommClass.smul_bracket_comm, LieRing.add_lie, Subgroup.commutator_le_map_commutator, LieSubmodule.inf_lie, LieSubmodule.lie_le_right, LieSubalgebra.exists_lieIdeal_coe_eq_iff, IsSl2Triple.HasPrimitiveVectorWith.lie_e_pow_succ_toEnd_f, LieModule.Weight.apply_lie, IsSl2Triple.HasPrimitiveVectorWith.lie_h_pow_toEnd_f, LieDerivation.lie_ad, Matrix.lie_transpose, LieRingModule.lie_add, LieSubmodule.Quotient.mk_bracket, zero_lie, lie_sub, Subgroup.quotientCenterEmbedding_apply, LieDerivation.leibniz', lie_zero, LieModuleHom.map_lie', commutatorElement_eq_one_iff_mul_comm, IsLieTower.leibniz_lie, RootPairing.GeckConstruction.lie_h_f, isSolvable_iff_commutator_lt, LieIdeal.map_bracket_eq, lie_eq_smul, LieAlgebra.IsKilling.chainLength_smul, LieSubmodule.lieIdeal_oper_eq_tensor_map_range, RootPairing.GeckConstruction.lie_e_lie_f_apply, Submodule.exists_lieSubalgebra_coe_eq_iff, LieAlgebra.lie_mem_genWeightSpace_of_mem_genWeightSpace, LieModule.traceForm_apply_lie_apply, LieSubmodule.lieIdeal_oper_eq_linear_span, LieAlgebra.Extension.lie_apply_proj_of_leftInverse_eq, LieAlgebra.mem_corootSpace', Ring.lie_def, LieAlgebra.ad_lie, RootPairing.GeckConstruction.f_lie_v_same, LieAlgebra.Extension.ringModuleOf_bracket_proj, IsSl2Triple.lie_h_f_nsmul, LieSubmodule.lieIdeal_oper_eq_span, LieHom.map_lie', sum_lie_sum, LieDerivation.apply_lie_eq_sub, IsSl2Triple.lie_h_e_nsmul, Derivation.commutator_apply, IsSl2Triple.HasPrimitiveVectorWith.lie_h, LieModuleHom.map_lie, commutatorSet_def, LieSubmodule.lcs_succ, commutator_def, trivial_lie_zero, LieRinehartAlgebra.Hom.apply_lie', LieAlgebra.mem_corootSpace, lie_nsmul, LieModule.Cohomology.mem_twoCocycle_iff_of_trivial, LieAlgebra.lieCharacter_apply_lie, LeftInvariantDerivation.commutator_apply, lie_mem_right, LeftInvariantDerivation.commutator_coe_derivation, LieAlgebra.lieCharacter_apply_lie', Subgroup.commutator_comm_le, RootPairing.GeckConstruction.lie_h_h, nsmul_lie, LieModule.lie_mem_genWeightSpaceChain_of_genWeightSpace_eq_bot_left, GroupLieAlgebra.bracket_def, LieModule.traceForm_apply_lie_apply', lie_mem_left, Subgroup.map_commutator, LieSubalgebra.lie_mem_sup_of_mem_normalizer, map_commutatorElement, LieSubmodule.map_bracket_eq, LieIdeal.comap_bracket_eq, Subgroup.commutator_le_left, lie_lie, conjugate_commutatorElement, LieSubalgebra.lie_mem', LieAlgebra.IsKilling.mem_sl2SubalgebraOfRoot_iff, LieDerivation.iterate_apply_lie', LieSubmodule.mem_normalizer, IsSl2Triple.lie_e_f, commute_iff_lie_eq, LieModule.IsTrivial.trivial, LieAlgebra.Extension.lie_toKer_apply, sub_lie, Subgroup.commutator_characteristic, LieSubmodule.lie_eq_bot_iff, commutator_alternatingGroup_eq_self, RootPairing.GeckConstruction.lie_e_f_mul_ω, Subgroup.commutator_bot_left, Subgroup.commutator_pi_pi_of_finite, LieAlgebra.rootSpaceProduct_tmul, LieRingModule.leibniz_lie, LieSubalgebra.mem_normalizer_iff, LieSubmodule.lie_le_left, lie_add, Commute.commutator_eq, lie_eq_self_of_isAtom_of_ne_bot, LieSubmodule.lie_coe_mem_lie, LieModuleHom.map_lie₂, RootPairing.GeckConstruction.e_lie_u, LieRinehartAlgebra.Hom.apply_lie, RootPairing.GeckConstruction.lie_e_f_ne, Subgroup.commutator_normal, LieSubalgebra.lie_mem, add_lie, LieSubmodule.gc_top_lie_normalizer, LinearMap.trace_lie, Subgroup.map_subtype_commutator, lie_swap_lie, LieDerivation.ad_apply_apply
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