OAI/Analysis/CircleDomains/Sobolev/LipschitzFiberIntegralBound.lean
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The sharp one-dimensional coarea inequality from Hausdorff covers. No rectifiability is needed. Closed images of the covers are measurable majorants; Fatou's lemma passes their counting bounds to the fibers.
- lemma
OAI.CircleDomainRigidity.lipschitz_fiber_integral_leline 16