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

⊦ ino ∈ files ∧ ino ∈ icache ∧ ¬ icache[ino].inode.directory → ((files ⊕ pcache) ⊕ icache)[ino, (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m] = (files ⊕ pcache) ⊕ icache[ino, mkientry(true, (icache[ino].inode.meta:= md).size:= m)]

System applied rule normalize

And obtained the following new goals

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

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

System applied rule normalize

And obtained the following new goals

Rule argument

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