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Proof step 48 from proof fsync-inode-overwrite (previous step)

asynced ↔ false, dirs[m2] = mkdir(m3, md1, m4, m5, entries), icache[m] = mkientry(true, mkinode(m2, md, true, m4, m5, m3)), files0[m] = mkfile(m0, md0, m1, content), err = ESUCCESS, icache0 = icache, ino = m, icache-cons(icache, dirs, files0), ino ∈ icache, m ∈ files0, m ∈ icache, m2 ∈ dirs ⊦ files0[m2] = (files0 ⊕ icache0)[m2]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
files0[m] = mkfile(m0, md0, m1, content), icache[m] = mkientry(true, mkinode(m2, md, true, m4, m5, m3)), dirs[m2] = mkdir(m3, md1, m4, m5, entries), icache-cons(icache, dirs, files0), m2 ∈ dirs, m ∈ files0, m ∈ icache ⊦ files0[m2] = (files0 ⊕ icache)[m2]

Proof step 48 from proof fsync-inode-overwrite (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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