| import OAI.Analysis.IntegralMeans.DomainArea | |
| namespace OAI | |
| noncomputable section | |
| open Set MeasureTheory Filter Function | |
| open scoped Topology ENNReal | |
| namespace Brennan | |
| theorem main_theorem : MainStatement := by | |
| refine ⟨?_,inverse_spectrum_eq_one,?_,?_⟩ | |
| · intro ε hε | |
| obtain ⟨C,_hC,hbound⟩ := uniform_inverse_square_bound ε hε | |
| exact ⟨C,hbound⟩ | |
| · intro W hW _hconnected _hsimply _hboundary φ hφ hb s hs hs4 | |
| exact conformal_domain_area hW hφ hb hs hs4 | |
| · intro f hf t ht ht2 | |
| exact univalent_disk_area hf ht ht2 | |
| end Brennan | |
| end | |
| end OAI | |