OAI/Analysis/CircleDomains/Sobolev/SobolevLinePayment.lean
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Continuous compact Sobolev barriers pay for every transverse line on which they attain one. Uniform mollification supplies the line FTC; strong convergence of weak partials passes the energy bound to the limit.
- theorem
OAI.CircleDomainRigidity.sobolev_coordinate_line_paymentline 16