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Proof step 66 from proof fsync-inode-overwrite (previous step)

files0[m2] = mkfile(m3, md1, m4, content0), icache[m] = mkientry(true, mkinode(m2, md, false, m4, 0, m5)), files0[m] = mkfile(m0, md0, m1, content), err = ESUCCESS, icache0 = icache, icache-cons(icache, dirs, files0), m ∈ files0, m ∈ icache, m2 ∈ files0 ⊦ [icache_set_status#(m, false; err, icache)] (err = ESUCCESS → mkfile(m5, md, m4, content0) = (files0 ⊕ icache0)[m2])

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 67:
asynced ↔ false, files0[m] = mkfile(m0, md0, m1, content), icache[m] = mkientry(true, mkinode(m2, md, false, m4, 0, m5)), files0[m2] = mkfile(m3, md1, m4, content0), err = ESUCCESS, icache0 = icache, ino = m, icache-cons(icache, dirs, files0), m2 ∈ files0, m ∈ icache, m ∈ files0 ⊦ [if ino ∈ icache then icache[ino].dirty := asynced else err := EFAIL] (err = ESUCCESS → mkfile(m5, md, m4, content0) = (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};