OAI/Analysis/CircleDomains/Sobolev/WeightedPlanarCoareaProof.lean
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The planar nonnegative weighted C1 coarea formula. The critical set is treated by diameter covers, and the regular set by actual inverse charts, curve arclength, Fubini and change of variables.
- theorem
OAI.CircleDomainRigidity.weightedPlanarScalarCoarealine 15Source documentation
Federer's nonnegative weighted scalar planar coarea identity.
theorem weightedPlanarScalarCoarea : WeightedPlanarScalarCoarea := by …
Mentions: OAI.CircleDomainRigidity.WeightedPlanarScalarCoarea