proof app:A-long-proofs@proof-271

open in the book · appendices/A-long-proofs.tex:22389

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proof : app:A-long-proofs@proof-271prooftheorem A.455: Compact embedding of W^1,r(a,b) into the continuous functionsA.455lemma A.454: Arzelà–Ascoli on an intervalA.454lemma A.453: Uniform bound and uniform Hölder continuityA.453theorem A.456: Convexity in q implies weak lower semicontinuityA.456

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proves Compact embedding of $W^{1,r}(a,b)$ into the continuous functions declared appendices/A-long-proofs.tex:22389