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Proof step 63 from proof inv-evict (previous step)

# links(m, dirs) = 0, dirs[m] = mkdir(m0, md, 0, m2, entries), pcache[datakey(ino, n)] = mkpentry(boolvar, buf), boolvar, afs-cons(dirs -- m, files), afs-cons(dirs, files), synced(dirs, icache, pcache), datakey(ino, n) ∈ pcache, ino ∈ dirs, m ∈ dirs, ino ∈ icache → ¬ icache[ino].dirty, asynced1 → synced(files, icache, pcache), ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty ⊦ ino = m, m = ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 64:
# links(m, dirs) = 0, pcache[datakey(ino, n)] = mkpentry(true, buf), dirs[m] = mkdir(m0, md, 0, m2, entries), afs-cons(dirs, files), afs-cons(dirs -- m, files), synced(dirs, icache, pcache), m ∈ dirs, ino ∈ dirs, datakey(ino, n) ∈ pcache, asynced1 → synced(files, icache, pcache), ino ∈ icache → ¬ icache[ino].dirty, ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty ⊦ ino = m, m = ROOT_INO

Proof step 63 from proof inv-evict (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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