WithLp 📖 | CompData | 310 mathmath: Matrix.frobenius_norm_replicateCol, MeasureTheory.integrable_prodLp_iff, PiLp.lipschitzWith_toLp, WithLp.prod_edist_eq_card, WithLp.prod_inner_apply, WithLp.ofLp_listSum, PiLp.norm_toLp_const', WithLp.norm_fst_le, WithLp.measurable_ofLp, WithLp.ofLp_smul, PiLp.contDiff_toLp, Submodule.orthogonalDecomposition_symm_apply, WithLp.edist_fst_le, WithLp.prod_nndist_eq_of_L2, Submodule.toLinearEquiv_orthogonalDecomposition_symm, LinearIsometryEquiv.withLpProdComm_symm, WithLp.nnnorm_toLp_inr, WithLp.congr_refl, WithLp.addEquiv_apply, WithLp.toEquiv_uniformEquivProd, WithLp.coe_linearEquiv, WithLp.prod_nnnorm_ofLp, IsometryEquiv.withLpUniqueProd_symm_apply, WithLp.ofLp_neg, PiLp.norm_toLp_one, WithLp.ofLp_sub, Submodule.toLinearEquiv_orthogonalDecomposition, WithLp.enorm_snd_le, WithLp.ofLp_multisetSum, WithLp.instModuleFinite, WithLp.prod_norm_eq_idemFst_of_L1, LinearEquiv.coe_withLpCongr, WithLp.instCompleteSpace, WithLp.coe_congr, Matrix.spectrum_toLpLin, WithLp.sndL_apply, Behrend.sphere_subset_preimage_metric_sphere, WithLp.prodContinuousLinearEquiv_symm_apply, WithLp.instProdT0Space, ProbabilityTheory.HasGaussianLaw.toLp_pi, WithLp.smul_snd, WithLp.prod_nnnorm_eq_add, IsometryEquiv.withLpProdUnique_apply, PiLp.norm_toLp_single, WithLp.neg_snd, Matrix.toLpLin_mul_same, WithLp.sub_fst, WithLp.nndist_fst_le, LinearMap.withLpMap_id, WithLp.prod_norm_toLp, WithLp.idemSnd_compl, Submodule.coe_orthogonalDecomposition_symm, WithLp.continuous_fst, MeasureTheory.charFunDual_pi', WithLp.nnnorm_seminormedAddCommGroupToProd, WithLp.unitization_algebraMap, WithLp.prod_dist_eq_of_L2, WithLp.prod_norm_eq_of_nat, ProbabilityTheory.covarianceBilin_apply_basisFun_self, MeasurableEquiv.toLp_symm_apply, LDL.lowerInv_orthogonal, PiLp.continuous_toLp, WithLp.prod_nndist_eq_of_L1, WithLp.borelSpace, WithLp.measurable_toLp, OrthonormalBasis.prod_apply, PiLp.nnnorm_toLp_one, PiLp.sumPiLpEquivProdLpPiLp_symm_apply_ofLp, Module.Basis.coe_toOrthonormalBasis_repr, PiLp.antilipschitzWith_toLp, WithLp.toLp_multisetSum, PiLp.volume_preserving_toLp, InnerProductGeometry.norm_toLp_symm_crossProduct, MeasureTheory.charFun_eq_prod_iff, WithLp.zero_fst, PiLp.nndist_toLp_single_same, WithLp.edist_toLp_snd, Matrix.toLpLin_symm_pow, PiLp.nnnorm_toLp_single, WithLp.toLp_zero, PiLp.hasFDerivAt_toLp, Matrix.toLpLin_one, PiLp.nnnorm_toLp_const', WithLp.prod_edist_eq_of_L2, WithLp.prod_edist_eq_sup, LinearMap.withLpMap_comp, WithLp.toAddEquiv_linearEquiv, Behrend.norm_of_mem_sphere, WithLp.prod_isometry_ofLp_infty, WithLp.add_snd, Matrix.toLpLin_pow, WithLp.prod_norm_ofLp, WithLp.prod_norm_eq_idemFst_sup_idemSnd, PiLp.dist_pseudoMetricSpaceToPi, WithLp.dist_snd_le, WithLp.prod_norm_eq_add, Matrix.ofLp_toLpLin, Module.Basis.coe_toOrthonormalBasis_repr_symm, MeasurableEquiv.coe_toLp, MeasureTheory.charFun_pi, WithLp.toLp_bijective, WithLp.map_comp, WithLp.prod_nnnorm_eq_of_L2, WithLp.prod_nnnorm_eq_of_L1, WithLp.prod_norm_eq_add_idemFst, Submodule.coe_orthogonalDecomposition, WithLp.prod_dist_eq_sup, Isometry.withLpProdMap, PiLp.lipschitzWith_ofLp, WithLp.contDiff_toLp, LinearEquiv.withLpCongr_refl, IsometryEquiv.coe_withLpProdUnique, RCLike.wInner_one_eq_inner, WithLp.prod_antilipschitzWith_toLp, WithLp.toLp_listSum, WithLp.prodContinuousLinearEquiv_symm_apply_ofLp, WithLp.idemFst_compl, Matrix.toLpLin_toLp, WithLp.congr_trans, Submodule.fst_orthogonalDecomposition_apply, WithLp.instProdCompleteSpace, PiLp.volume_preserving_ofLp, InnerProductGeometry.norm_ofLp_crossProduct, WithLp.equiv_symm_apply, WithLp.prod_lipschitzWith_ofLp, WithLp.ofLp_eq_zero, WithLp.norm_toLp_fst, WithLp.dist_toLp_snd, WithLp.coe_fstL, Matrix.toLpLin_symm_id, WithLp.ofLp_injective, WithLp.prod_nndist_eq_add, WithLp.instIsScalarTower, WithLp.nndist_toLp_snd, ProbabilityTheory.indepFun_iff_charFunDual_prod', LinearIsometryEquiv.withLpProdCongr_symm_apply, WithLp.contDiff_ofLp, WithLp.prod_uniformContinuous_ofLp, WithLp.toLp_sum, MeasureTheory.MemLp.of_fst_of_snd_prodLp, WithLp.prod_lipschitzWith_toLp, WithLp.prod_continuous_toLp, ProbabilityTheory.indepFun_iff_charFun_prod, WithLp.prod_norm_eq_of_L1, Submodule.sndL_comp_coe_orthogonalDecomposition, WithLp.unitization_nnnorm_inr, WithLp.nnnorm_toLp_inl, WithLp.prod_dist_eq_add, IsometryEquiv.withLpProdCongr_apply, WithLp.unitization_norm_def, WithLp.analyticOn_toLp, LinearIsometryEquiv.coe_withLpProdUnique, PiLp.antilipschitzWith_ofLp, Matrix.frobenius_nnnorm_replicateRow, ProbabilityTheory.covarianceBilin_apply_pi, PiLp.norm_seminormedAddCommGroupToPi, Matrix.frobenius_nnnorm_replicateCol, Pi.orthonormalBasis.toBasis, PiLp.nnnorm_toLp, WithLp.equiv_apply, WithLp.prod_dist_eq_of_L1, WithLp.prod_dist_eq_card, IsometryEquiv.coe_withLpUniqueProd, WithLp.map_id, WithLp.nnnorm_fst_le, ProbabilityTheory.covarianceBilin_apply_basisFun, WithLp.prod_norm_eq_sup, Matrix.frobenius_nnnorm_diagonal, WithLp.ofLp_surjective, WithLp.unitizationAlgEquiv_symm_apply_ofLp, PiLp.dist_toLp_single_same, PiLp.analyticOn_ofLp, WithLp.toLp_smul, WithLp.sndₗ_apply, PiLp.analyticOn_toLp, PiLp.basisFun_eq_pi_basisFun, WithLp.prod_norm_eq_card, WithLp.isUniformInducing_toLp, WithLp.prod_norm_sq_eq_of_L2, PiLp.continuous_ofLp, WithLp.smul_fst, Matrix.toLpLinAlgEquiv_apply_apply_ofLp, WithLp.prod_edist_eq_of_L1, WithLp.prod_nndist_eq_sup, EuclideanSpace.volume_preserving_symm_measurableEquiv_toLp, WithLp.neg_fst, WithLp.prod_nnnorm_eq_sup, PiLp.norm_toLp_const, WithLp.idemSnd_apply, WithLp.nnnorm_snd_le, MeasureTheory.Integrable.of_fst_of_snd_prodLp, WithLp.prod_edist_self, WithLp.toLp_neg, PiLp.isUniformInducing_toLp, WithLp.instProdNormSMulClass, LinearIsometryEquiv.withLpProdCongr_apply, ProbabilityTheory.iIndepFun_iff_charFunDual_pi', IsometryEquiv.withLpProdUnique_symm_apply, WithLp.linearEquiv_apply, LinearIsometryEquiv.withLpProdUnique_symm_apply, WithLp.dist_pseudoMetricSpaceToProd, WithLp.toLp_surjective, WithLp.toLp_add, IsometryEquiv.withLpProdAssoc_apply, MeasureTheory.charFunDual_prod', WithLp.coe_sndL, IsometryEquiv.withLpUniqueProd_apply, PiLp.contDiff_ofLp, PiLp.hasFDerivAt_ofLp, WithLp.instSMulCommClass, MeasureTheory.memLp_prodLp_iff, WithLp.ofLp_add, LinearEquiv.withLpCongr_symm, WithLp.norm_seminormedAddCommGroupToProd, ProbabilityTheory.iIndepFun_iff_charFun_pi, PiLp.edist_toLp_single_same, LinearMap.coe_withLpMap, WithLp.ofLp_bijective, WithLp.toLp_injective, WithLp.idemFst_add_idemSnd, WithLp.prod_nnnorm_toLp, PiLp.uniformContinuous_ofLp, WithLp.add_fst, WithLp.idemFst_apply, Matrix.toLpLin_mul, MeasureTheory.charFunDual_eq_pi_iff', WithLp.sub_snd, WithLp.zero_snd, PiLp.isometry_ofLp_infty, LinearIsometryEquiv.withLpProdUnique_apply, WithLp.toEquiv_homeomorphProd, Matrix.frobenius_norm_diagonal, WithLp.coe_addEquiv, Matrix.toLpLin_symm_comp, WithLp.instVAddCommClass, Submodule.fstL_comp_coe_orthogonalDecomposition, IsometryEquiv.withLpProdComm_symm, WithLp.toLp_eq_zero, WithLp.norm_snd_le, PiLp.uniformContinuous_toLp, WithLp.edist_toLp_fst, EuclideanSpace.inner_toLp_toLp, WithLp.toHomeomorph_uniformEquivProd, LinearIsometry.withLpProdMap_apply, Submodule.snd_orthogonalDecomposition_apply, LinearIsometryEquiv.withLpProdComm_apply, IsometryEquiv.withLpProdAssoc_symm_apply, LinearIsometryEquiv.withLpProdAssoc_apply, WithLp.ofLp_zero, ProbabilityTheory.HasGaussianLaw.toLp_prodMk, WithLp.unitization_mul, WithLp.norm_toLp_snd, Submodule.orthogonalDecomposition_apply, WithLp.addEquiv_symm_apply, WithLp.ofLp_sum, PiLp.hasStrictFDerivAt_ofLp, inner_matrix_row_row, PiLp.nnnorm_seminormedAddCommGroupToPi, WithLp.linearEquiv_symm_apply, PiLp.norm_toLp, WithLp.instVAddAssocClass, WithLp.unitizationAlgEquiv_apply, WithLp.coe_symm_linearEquiv, Matrix.toLpLin_apply, PiLp.nnnorm_toLp_const, IsometryEquiv.withLpProdCongr_symm_apply, LinearEquiv.withLpCongr_trans, IsometryEquiv.withLpProdComm_apply, WithLp.instNontrivial, WithLp.toLp_sub, LinearIsometryEquiv.withLpUniqueProd_apply, WithLp.nndist_toLp_fst, WithLp.instProdIsBoundedSMul, WithLp.unitization_norm_inr, MeasureTheory.charFun_eq_pi_iff, WithLp.unitization_nnnorm_def, WithLp.prod_norm_eq_of_L2, MeasurableEquiv.toLp_apply, WithLp.fstL_apply, Matrix.toLpLinAlgEquiv_symm_apply, Matrix.frobenius_norm_replicateRow, MeasureTheory.charFun_prod, WithLp.enorm_fst_le, WithLp.congr_symm, MeasureTheory.charFunDual_eq_prod_iff', WithLp.dist_toLp_fst, LinearIsometryEquiv.withLpUniqueProd_symm_apply, WithLp.unitization_isometry_inr, WithLp.prod_edist_eq_add, WithLp.coe_symm_addEquiv, Quaternion.norm_toLp_equivTuple, WithLp.equiv_symm_apply_ofLp, WithLp.edist_snd_le, PiLp.sumPiLpEquivProdLpPiLp_apply_ofLp, WithLp.prod_continuous_ofLp, WithLp.nndist_snd_le, LinearIsometryEquiv.withLpProdAssoc_symm_apply, WithLp.secondCountableTopology, MeasurableEquiv.coe_toLp_symm, inner_matrix_col_col, LinearIsometryEquiv.coe_withLpUniqueProd, WithLp.analyticOn_ofLp, WithLp.fstₗ_apply, WithLp.prod_antilipschitzWith_ofLp, WithLp.dist_fst_le, WithLp.prod_edist_comm, WithLp.continuous_snd, WithLp.prodContinuousLinearEquiv_apply, PiLp.hasStrictFDerivAt_toLp, WithLp.prod_uniformContinuous_toLp
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