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Proof step 884 from proof refine-truncate-buff-none-uncached (previous step)

m2 + n0 = m2 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, cache_icache[m1] = mkientry(boolvar0, mkinode(m4, md, true, m5, m6, m7)), cache_files[m1] = mkfile(m3, md1, # links(m1, cache_dirs), content), 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), synced(cache_dirs, cache_icache, cache_pcache), m2 / VFS_PAGE_SIZE ∈ content, m1 ∈ cache_files, key ∈ cache_pcache, m1 ∈ cache_icache, m2 ≤ m, cache_sync → synced(cache_files, cache_icache, cache_pcache), ∀ key0. key0 ∈ cache_pcache → key0.data? ∧ # cache_pcache[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ cache_files ∧ (¬ cache_pcache[key0].dirty → key0.part ∈ cache_files[key0.ino].content ∧ cache_pcache[key0].page = cache_files[key0.ino].content[key0.part]) ⊦ m2 = m2 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, key.data?, datakey(m1, m2 / VFS_PAGE_SIZE) ∈ cache_pcache

Proof step 884 from proof refine-truncate-buff-none-uncached (previous step)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

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