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9eeb9c7 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | import OAI.Analysis.IntegralMeans.Main
import OAI.Analysis.IntegralMeans.InverseMoment
import OAI.Analysis.IntegralMeans.KoebeDivergence
namespace OAI
noncomputable section
open Set MeasureTheory
open scoped ENNReal
namespace Brennan.Sharp
lemma koebe_inverse_four_area : areaMoment koebeInverse koebeDomain 4 = ⊤ := by
rw [koebe_inverse_areaMoment]
norm_num
exact koebe_negative_endpoint_area
lemma koebe_inverse_four_thirds_area :
areaMoment koebeInverse koebeDomain (4 / 3) = ⊤ := by
rw [koebe_inverse_areaMoment]
norm_num
exact koebe_positive_endpoint_area
theorem sharp_endpoints : SharpEndpointStatement := by
refine ⟨koebeMap_schlicht, koebe_negative_endpoint_area,
koebe_positive_endpoint_area, ?_, ?_⟩
· exact not_integrable_of_areaMoment_top koebe_inverse_four_area
· exact not_integrable_of_areaMoment_top koebe_inverse_four_thirds_area
end Brennan.Sharp
end
end OAI
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