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Proof step 33 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, files[m] = mkfile(m0, md, # links(m, dirs), content), afs-cons(dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), dcache-cons(dcache, dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]), icache-cons(icache, dirs, files), icache-cons(icache, dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]), pcache-cons(pcache, dirs, files), synced(files, icache, pcache), synced(dirs, icache, pcache), m ∈ files ⊦ dcache-cons(dcache, dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]) ∧ pcache-cons(pcache[datakey(m, pageno), mkpentry(false, buf)], dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]) ∧ synced(dirs, icache, pcache[datakey(m, pageno), mkpentry(false, buf)]) ∧ synced(files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])], icache, pcache[datakey(m, pageno), mkpentry(false, buf)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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