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def definition def or abbrev

CoerciveL2Bound

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formal statement (Lean)

  61def CoerciveL2Bound (P : RM2URadialProfile) : Prop :=

proof body

Definition body.

  62  IntegrableOn (fun r : ℝ => (P.A r) ^ 2) (Set.Ioi (1 : ℝ)) volume
  63    ∧ IntegrableOn (fun r : ℝ => (P.A' r) ^ 2 * (r ^ 2)) (Set.Ioi (1 : ℝ)) volume
  64
  65/-- The log-critical shell moment integrability (the RM2 obstruction in the manuscript):
  66`A(r)/r ∈ L¹((1,∞), dr)`. -/

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