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Proof step 183 from proof fsync-inode-inv (previous step)

asynced ↔ false, icache[m] = mkientry(false, inode), files[m] = mkfile(m1, md, # links(m, dirs), content0), err = ESUCCESS, ino = m, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ icache, m ∈ files ⊦ ⟪icache[ino].dirty := asynced⟫ (icache-cons(icache, dirs, files) ∧ synced(dirs, icache, pcache))

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ino ∈ icache → icache[ino] = (∅)[ino]; (s)%⊦ mkientry(boolvar, inode).dirty:= boolvar0 = mkientry(boolvar0, inode); (s)% ⊦ icache[ino] = ie ∧ ino ∈ icache → icache[ino, ie] = icache; (s)