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Proof step 1 from proof pcache-overwrite-read-page (conclusion)

⊦ ¬ datakey(ino, n) ∈ pcache ∧ ino ∈ files ∧ n ∈ files[ino].content → files ⊕ pcache[datakey(ino, n), mkpentry(false, files[ino].content[n])] = files ⊕ pcache

System applied rule normalize

And obtained the following new goals

Proof step 2:
ino ∈ files, n ∈ files[ino].content ⊦ files ⊕ pcache[datakey(ino, n), mkpentry(false, files[ino].content[n])] = files ⊕ pcache, datakey(ino, n) ∈ pcache

Proof step 1 from proof pcache-overwrite-read-page (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information