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Proof step 429 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, n0 ∈ content0 ↔ n0 ∈ content1, 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), m ∈ files0, m ∈ files1, datakey(m, n) ∈ pcache, m ∈ icache, ∀ ino0. (ino0 ∈ files0 ↔ ino0 ∈ files1) ∧ (ino0 ∈ files0 → ((files0 ⊕ pcache) ⊕ icache)[ino0] = ((files1 ⊕ pcache0) ⊕ icache)[ino0]) ⊦ n0 ∈ content1 ⊕ mkcontent(m, pcache0) ↔ n0 ∈ content0[n, buf] ⊕ mkcontent(m, pcache[datakey(m, n), mkpentry(false, buf)]), datakey(m, n0) = datakey(m, n), datakey(m, n0) ∈ pcache, datakey(m, n0) ∈ pcache0

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Rule argument

fma: n0 ∈ content0

Additional information

Used simplifier rules: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1; (ws)% ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache; (s)% ⊦ key ≠ key0 → (key ∈ pcache[key0, pe] ↔ key ∈ pcache); (s)% ⊦ n ∈ content[n0, buf] ↔ n = n0 ∨ n ∈ content; (ws) Used formulas: n0 ∈ content0