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Theorem inv-writepage

icache-cons(icache, dirs, files), dcache-cons(dcache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), asynced → synced(files, icache, pcache), afs-cons(dirs, files), pre-writepage(inode, pageno, buf, dirs, files) ⊦ ⟪cache_writepage#(inode, pageno, buf, asynced, dirs; err, files, pcache, asynced0)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)) ∧ afs-cons(dirs, files))

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