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Proof step 15 from proof fsync-others-unchanged (
previous step
)
files = files0, pcache0 = pcache ⊦ [cache_fsync-pages#(inode, dirs; err, files, pcache, asynced)] ∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ pcache)[ino] = (files0 ⊕ pcache0)[ino]
Lemma
fsync-pages-others-unchanged