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Proof step 1510 from proof refine-truncate-buff-none-cached (previous step)

asynced ↔ asynced1, cache_files[m] = mkfile(m3, md1, # links(m, cache_dirs), content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, # links(m, cache_dirs), content), asynced1, err = ESUCCESS, ino = m, key = datakey(ino, pageno), pageno = m2 / VFS_PAGE_SIZE, pcache = cache_pcache, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, datakey(m, m2 / VFS_PAGE_SIZE) ∈ cache_pcache, key ∈ pcache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ VFS_PAGE_SIZE = 0, key ∈ pcache

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

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