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Proof step 150 from proof inv-write_inode (previous step)

dirs[m] = mkdir(m0, md0, # links(m, dirs), m2, entries), afs-cons(dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], files), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), dcache-cons(dcache, dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], files), icache-cons(icache, dirs, files), icache-cons(icache, dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, asynced2 → synced(files, icache, pcache) ⊦ m ∈ icache, dcache-cons(dcache, dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], files) ∧ pcache-cons(pcache, dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], files) ∧ synced(dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], icache, pcache)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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