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Proof step 574 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1, content[n0] = content1[n0], pcache[datakey(m, n)] = mkpentry(true, buf), icache[m] = mkientry(boolvar0, mkinode(m3, md0, true, m4, m5, m6)), files1[m] = mkfile(m9, md2, m10, content1), files0[m] = mkfile(m9, md2, m10, content), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), m ∈ files0, m ∈ files1, datakey(m, n) ∈ pcache, m ∈ icache, ⌊err0⌋ ⊦ datakey(m, n0) ∈ pcache, datakey(m, n0) ∈ pcache0, (n0 ∈ content1 ↔ n0 ∈ content[n, buf] ⊕ mkcontent(m, pcache)) ∧ (n0 ∈ content1 → content1[n0] = (content[n, buf] ⊕ mkcontent(m, pcache))[n0])

User applied rule case distinction

And obtained the following new goals

Proof step 575:
# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1, files0[m] = mkfile(m9, md2, m10, content), files1[m] = mkfile(m9, md2, m10, content1), icache[m] = mkientry(boolvar0, mkinode(m3, md0, true, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), content[n0] = content1[n0], n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), m ∈ icache, datakey(m, n) ∈ pcache, m ∈ files1, m ∈ files0, ⌊err0⌋ ⊦ n0 ∈ content1 ↔ n0 ∈ content[n, buf] ⊕ mkcontent(m, pcache), datakey(m, n0) ∈ pcache0, datakey(m, n0) ∈ pcache
Proof step 579:
# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1, files0[m] = mkfile(m9, md2, m10, content), files1[m] = mkfile(m9, md2, m10, content1), icache[m] = mkientry(boolvar0, mkinode(m3, md0, true, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), content[n0] = content1[n0], n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), n0 ∈ content1, m ∈ icache, datakey(m, n) ∈ pcache, m ∈ files1, m ∈ files0, ⌊err0⌋ ⊦ content1[n0] = (content[n, buf] ⊕ mkcontent(m, pcache))[n0], datakey(m, n0) ∈ pcache0, datakey(m, n0) ∈ pcache

Rule argument

pos: right 3

Proof step 574 from proof fsync-pages-keep-abs (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information