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Proof step 48 from proof fsync-inode-keep-abs (previous step)

icache[m] = mkientry(true, mkinode(m0, md, true, m2, m3, m1)), dirs[m0] = mkdir(m1, md0, m2, m3, entries), ino = m, icache-cons(icache, dirs, files), ino ∈ files, m0 ∈ dirs, m ∈ icache ⊦ ((files ⊕ pcache) ⊕ icache)[ino] = ((files ⊕ pcache) ⊕ icache[m, mkientry(false, mkinode(m0, md, true, m2, m3, m1))])[ino]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
dirs[m0] = mkdir(m1, md0, m2, m3, entries), icache[m] = mkientry(true, mkinode(m0, md, true, m2, m3, m1)), icache-cons(icache, dirs, files), m ∈ icache, m0 ∈ dirs, m ∈ files ⊦ ((files ⊕ pcache) ⊕ icache)[m] = ((files ⊕ pcache) ⊕ icache[m, mkientry(false, mkinode(m0, md, true, m2, m3, m1))])[m]

Proof step 48 from proof fsync-inode-keep-abs (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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