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Proof step 39 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), err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, icache-cons(icache, dirs, files), m0 ∈ dirs, m ∈ icache ⊦ [icache_set_status#(m, false; err, icache)] (files0 = (files ⊕ pcache) ⊕ icache)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 40:
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), m ∈ icache, m0 ∈ dirs ⊦ [if ino ∈ icache then icache[ino].dirty := asynced else err := EFAIL] (files0 = (files ⊕ pcache) ⊕ icache)

Rule argument

pos: right 1

Additional information

Used simplifier rules: icache_set_status#(INO, DIRTY; ERR, ICACHE) {if INO ∈ ICACHE then ICACHE[INO].dirty := DIRTY else ERR := EFAIL};