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Proof step 1 from proof overwrite-write-inode-clean-dir (conclusion)

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

System applied rule normalize

And obtained the following new goals

Proof step 2:
icache[ino].inode.directory, ino ∈ dirs, ino ∈ icache ⊦ (files ⊕ pcache) ⊕ icache = (files ⊕ pcache) ⊕ icache[ino, mkientry(false, icache[ino].inode.meta:= md)]

Proof step 1 from proof overwrite-write-inode-clean-dir (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

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