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Theorem overwrite-write-inode-clean-dir

⊦ ino ∈ dirs ∧ ino ∈ icache ∧ icache[ino].inode.directory → (files ⊕ pcache) ⊕ icache = (files ⊕ pcache) ⊕ icache[ino, mkientry(false, icache[ino].inode.meta:= md)]

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