import OAI.Probability.ProjectionMoments.SphereWeights namespace OAI section open MeasureTheory ProbabilityTheory Set Filter InnerProductSpace open NoiselessRegression NoiselessRegression.FiniteKernelLearner open scoped ENNReal NNReal RealInnerProductSpace Topology noncomputable section universe u namespace ProjectionMoments theorem main : MainStatement.{u} := by refine ⟨integrated_frame_moment, normalized_unitBall_moment, all_radii_sphere_moment, positive_family_cap_domination, riesz_deterministic_offsets, one_block_all_radii, NoiselessRegression.FiniteKernelLearner.haar_success, NoiselessRegression.FiniteKernelLearner.riesz_success, NoiselessRegression.FiniteKernelLearner.cap_fixed_stop, NoiselessRegression.FiniteKernelLearner.cap_total_success, NoiselessRegression.FiniteKernelLearner.cap_fixed_stop_asymptotic, NoiselessRegression.FiniteKernelLearner.cap_total_success_asymptotic, ?_, NoiselessRegression.FiniteKernelLearner.subquadratic_memory_with_pointwise, NoiselessRegression.FiniteKernelLearner.fixed_quadratic_memory⟩ intro d M T hd K hK exact K.exists_equivalent_tape hK hd end ProjectionMoments end end end OAI