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Proof step 624 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1 ⊕ mkcontent(m, pcache0), content[n0] = (content1 ⊕ mkcontent(m, pcache0))[n0], files1[m] = mkfile(m9, md2, m10, content1), files0[m] = mkfile(m0, md, m1, content), icache[m] = mkientry(boolvar, mkinode(m3, md0, false, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), m ∈ icache, m ∈ files0, datakey(m, n) ∈ pcache, m ∈ files1, ⌊err0⌋ ⊦ datakey(m, n0) ∈ pcache, (n0 ∈ content ↔ n0 ∈ content[n, buf] ⊕ mkcontent(m, pcache)) ∧ (n0 ∈ content → content[n0] = (content[n, buf] ⊕ mkcontent(m, pcache))[n0])

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 625:
# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1 ⊕ mkcontent(m, pcache0), pcache[datakey(m, n)] = mkpentry(true, buf), icache[m] = mkientry(boolvar, mkinode(m3, md0, false, m4, m5, m6)), files0[m] = mkfile(m0, md, m1, content), files1[m] = mkfile(m9, md2, m10, content1), content[n0] = (content1 ⊕ mkcontent(m, pcache0))[n0], n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), m ∈ files1, datakey(m, n) ∈ pcache, m ∈ files0, m ∈ icache, n0 ∈ mkcontent(m, pcache0), ⌊err0⌋ ⊦ datakey(m, n0) ∈ pcache, (n0 ∈ content ↔ n0 ∈ content[n, buf] ⊕ mkcontent(m, pcache)) ∧ (n0 ∈ content → content[n0] = (content[n, buf] ⊕ mkcontent(m, pcache))[n0])
Proof step 635:
# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1 ⊕ mkcontent(m, pcache0), pcache[datakey(m, n)] = mkpentry(true, buf), icache[m] = mkientry(boolvar, mkinode(m3, md0, false, m4, m5, m6)), files0[m] = mkfile(m0, md, m1, content), files1[m] = mkfile(m9, md2, m10, content1), content[n0] = (content1 ⊕ mkcontent(m, pcache0))[n0], n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), m ∈ files1, datakey(m, n) ∈ pcache, m ∈ files0, m ∈ icache, ⌊err0⌋ ⊦ datakey(m, n0) ∈ pcache, n0 ∈ mkcontent(m, pcache0), (n0 ∈ content ↔ n0 ∈ content[n, buf] ⊕ mkcontent(m, pcache)) ∧ (n0 ∈ content → content[n0] = (content[n, buf] ⊕ mkcontent(m, pcache))[n0])

Rule argument

fma: n0 ∈ mkcontent(m, pcache0)

Additional information

Used formulas: n0 ∈ mkcontent(m, pcache0)