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

⊦ 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

System applied rule normalize

And obtained the following new goals

Proof step 2:
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

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

System applied rule normalize

And obtained the following new goals

Rule argument

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