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Theorem overwrite-write-page-dirty

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

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