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Proof step 45 from proof fsync-inode-overwrite (previous step)

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), err = ESUCCESS, icache0 = icache, icache-cons(icache, dirs, files0), m2 ∈ dirs, m ∈ icache, m ∈ files0 ⊦ [icache_set_status#(m, false; err, icache)] (err = ESUCCESS → files0[m2] = (files0 ⊕ icache0)[m2])

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 46:
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), m ∈ files0, m ∈ icache, m2 ∈ dirs ⊦ [if ino ∈ icache then icache[ino].dirty := asynced else err := EFAIL] (err = ESUCCESS → files0[m2] = (files0 ⊕ icache0)[m2])

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};