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Proof step 231 from proof fsync-pages-inv (previous step)

# buf = VFS_PAGE_SIZE, pcache[datakey(m, m6)] = mkpentry(false, content1[m6]), files1[m] = mkfile(m3, md, # links(m, dirs), content1), pcache[datakey(m, n0)] = mkpentry(true, buf), files0[m] = mkfile(m1, md0, # links(m, dirs), content), n0 * VFS_PAGE_SIZE < m2, afs-cons(dirs, files0), afs-cons(dirs, files1), afs-cons(dirs, files1[m, mkfile(m3, md, # links(m, dirs), content1[n0, buf])]), synced(dirs, icache, pcache), synced(dirs, icache, pcache0), datakey(m, n0) ∈ pcache, m ∈ files1, m ∈ files0, datakey(m, m6) ∈ pcache, m6 ∈ content1, m6 ∈ content1[n0, buf], ⌊err0⌋ , ∀ key0. key0 ∈ pcache0 → key0.data? ∧ # pcache0[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files0 ∧ (¬ pcache0[key0].dirty → key0.part ∈ files0[key0.ino].content ∧ pcache0[key0].page = files0[key0.ino].content[key0.part]), ∀ key0. key0 ∈ pcache → key0.data? ∧ # pcache[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files1 ∧ (¬ pcache[key0].dirty → key0.part ∈ files1[key0.ino].content ∧ pcache[key0].page = files1[key0.ino].content[key0.part]) ⊦ content1[m6] = content1[n0, buf][m6]

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: m6 = n0

Additional information

Used simplifier rules: ⊦ n ≠ n0 → content[n0, buf][n] = content[n]; (s)% ⊦ content[n, buf][n] = buf; (s)% ⊦ n ∈ content[n, buf]; (s)%⊦ mkpentry(boolvar, buf) = mkpentry(boolvar0, buf0) ↔ (boolvar ↔ boolvar0) ∧ buf = buf0; (ws) Used formulas: m6 = n0