| 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 | |