OAI/Geometry/RCD/Transport/SobolevHamiltonJacobiPlan.lean
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Endpoint comparison from the Sobolev Hamilton--Jacobi inequality
The temporal difference is differentiated in L2. The spatial difference uses a fixed Sobolev function and the test-plan slope bound. A one-sided mean-value theorem combines them without evaluating null sets on a diagonal.
- theorem
OAI.RegularPointCoordinates.sobolev_hamilton_jacobi_plan_comparisonline 21