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Proof step 42 from proof fsync-inode-keep-abs (previous step)

asynced ↔ false, dirs[m0] = mkdir(m1, md0, m2, m3, entries), icache[m] = mkientry(true, mkinode(m0, md, true, m2, m3, m1)), err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, ino = m, icache-cons(icache, dirs, files), ino ∈ icache, m ∈ icache, m0 ∈ dirs ⊦ files0 = (files ⊕ pcache) ⊕ icache[ino, icache[ino].dirty:= asynced]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
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 ⊦ (files ⊕ pcache) ⊕ icache = (files ⊕ pcache) ⊕ icache[m, mkientry(false, mkinode(m0, md, true, m2, m3, m1))]

Rule argument

Additional information

Used simplifier rules: ⊦ mkientry(boolvar, inode).dirty:= boolvar0 = mkientry(boolvar0, inode); (s)