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Proof step 82 from proof inv-evict (previous step)

# links(m, dirs) = 0, dirs[m] = mkdir(m0, md, 0, m2, entries), afs-cons(dirs -- m, files), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ m = ROOT_INO, dcache-cons(dcache, dirs -- m, files)

Heuristic use patterns applied rule weakening

And obtained the following new goals

Proof step 83:
# links(m, dirs) = 0, dirs[m] = mkdir(m0, md, 0, m2, entries), afs-cons(dirs, files), afs-cons(dirs -- m, files), dcache-cons(dcache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ m = ROOT_INO, dcache-cons(dcache, dirs -- m, files)

Rule argument

poslist: left 6

Proof step 82 from proof inv-evict (previous step)

Heuristic use patterns applied rule weakening

And obtained the following new goals

Rule argument

Additional information