OAI/Analysis/RieszRectifiability/Flatness/QuantitativeFlatAnnularAlternative.lean
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A uniform flat-ball or large-annulus alternative
Compactness upgrades the local annular flat-ball theorem to a radius chosen uniformly before the measure. A counterexample sequence would converge to a measure with bounded annular transforms but no admissible flat ball, contradicting the local theorem.
- theorem
OAI.RieszRectifiability.exists_uniform_flat_annular_radiusline 20