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Theorem overwrite-write-page-clean

⊦ ino ∈ files → ((files ⊕ pcache) ⊕ icache)[ino, ((files ⊕ pcache) ⊕ icache)[ino].content:= ((files ⊕ pcache) ⊕ icache)[ino].content[m, buf]] = (files[ino, files[ino].content:= files[ino].content[m, buf]] ⊕ pcache[datakey(ino, m), mkpentry(false, buf)]) ⊕ icache

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