openAI-math-dataset / lean /OAI /GroupTheory /Thompson /AnalyticModel.lean
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import OAI.GroupTheory.Thompson.UnitBall
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.MeasureTheory.Function.L2Space
import Mathlib.MeasureTheory.Measure.Lebesgue.Basic
namespace OAI
noncomputable section
namespace ThompsonNonamenability.Analytic
open MeasureTheory Set
abbrev Plane := EuclideanSpace ℝ (Fin 2)
abbrev intervalMeasure : Measure ℝ := volume.restrict (Icc (0 : ℝ) 1)
abbrev Hilbert := Lp Plane 2 intervalMeasure
abbrev Ball := UnitBall Hilbert
end ThompsonNonamenability.Analytic
end
end OAI