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Proof step 99 from proof fsync-inode-overwrite (previous step)

asynced0 ↔ true, asynced ↔ icache[ino0].dirty, files0[m] = mkfile(m0, md0, m1, content), err = ESUCCESS, files = files0, icache0 = icache, ino = m, ino0 = m, inode = mkinode(m, md, false, m1, 0, m2), icache-cons(icache, dirs, files0), m ∈ files0, ino0 ∈ icache ⊦ [icache_set_status#(ino, false; err, icache)] (err = ESUCCESS → files[inode.ino] = (files0 ⊕ icache0)[inode.ino]), err = ESUCCESS ∧ asynced0 ∧ asynced

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 100:
files0[m] = mkfile(m0, md0, m1, content), err = ESUCCESS, icache0 = icache, icache-cons(icache, dirs, files0), m ∈ icache, m ∈ files0, ¬ icache[m].dirty ⊦ [icache_set_status#(m, false; err, icache)] (err = ESUCCESS → mkfile(m0, md0, m1, content) = (files0 ⊕ icache0)[m])

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)