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Proof step 438 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, files1[m] = mkfile(m9, md2, m10, content1), content0[n0] = content1[n0], files0[m] = mkfile(m7, md1, m8, content0), pcache[datakey(m, n)] = mkpentry(true, buf), icache[m] = mkientry(boolvar, mkinode(m3, md0, false, m4, m5, m6)), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), n0 ∈ content0, n0 ∈ content1 ⊕ mkcontent(m, pcache0), m ∈ files0, m ∈ files1, datakey(m, n) ∈ pcache, m ∈ icache, n0 ∈ content1, ∀ ino0. (ino0 ∈ files0 ↔ ino0 ∈ files1) ∧ (ino0 ∈ files0 → ((files0 ⊕ pcache) ⊕ icache)[ino0] = ((files1 ⊕ pcache0) ⊕ icache)[ino0]) ⊦ (content1 ⊕ mkcontent(m, pcache0))[n0] = content0[n, buf][n0], datakey(m, n0) = datakey(m, n), datakey(m, n0) ∈ pcache0, datakey(m, n0) ∈ pcache

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 439:
# buf = VFS_PAGE_SIZE, icache[m] = mkientry(boolvar, mkinode(m3, md0, false, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), files0[m] = mkfile(m7, md1, m8, content0), content0[n0] = content1[n0], files1[m] = mkfile(m9, md2, m10, content1), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), n0 ∈ content1, m ∈ icache, datakey(m, n) ∈ pcache, m ∈ files1, m ∈ files0, n0 ∈ content1 ⊕ mkcontent(m, pcache0), n0 ∈ content0, ∀ ino0. (ino0 ∈ files0 ↔ ino0 ∈ files1) ∧ (ino0 ∈ files0 → ((files0 ⊕ pcache) ⊕ icache)[ino0] = ((files1 ⊕ pcache0) ⊕ icache)[ino0]) ⊦ (content1 ⊕ mkcontent(m, pcache0))[n0] = content0[n, buf][n0], datakey(m, n0) = datakey(m, n), n0 = n, datakey(m, n0) ∈ pcache, datakey(m, n0) ∈ pcache0

Rule argument

fma: n0 = n

Additional information

Used formulas: n0 = n