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Proof step 43 from proof fsync-inode-others-unchanged (previous step)

icache0[m] = mkientry(true, mkinode(m0, md, true, m2, m3, m1)), dirs[m0] = mkdir(m1, md0, m2, m3, entries), err = ESUCCESS, icache1 = icache0, icache-cons(icache0, dirs, files0), m ∈ icache0, m0 ∈ dirs ⊦ [icache_set_status#(m, false; err, icache1)] (m0 = m ∧ (∀ ino. ino ≠ m ∧ ino ∈ files0 → (files0 ⊕ icache1)[ino] = (files0 ⊕ icache0)[ino]))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 44:
asynced ↔ false, dirs[m0] = mkdir(m1, md0, m2, m3, entries), icache0[m] = mkientry(true, mkinode(m0, md, true, m2, m3, m1)), err = ESUCCESS, icache = icache1, icache1 = icache0, ino = m, icache-cons(icache0, dirs, files0), m0 ∈ dirs, m ∈ icache0 ⊦ [if ino ∈ icache then icache[ino].dirty := asynced else err := EFAIL] (m0 = m ∧ (∀ ino. ino ≠ m ∧ ino ∈ files0 → (files0 ⊕ icache)[ino] = (files0 ⊕ icache0)[ino]))

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};