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Proof step 56 from proof fsync-pages-others-unchanged (previous step)

# buf0 = VFS_PAGE_SIZE, asynced ↔ false, pcache[datakey(m, n)] = mkpentry(true, buf0), files1[m] = mkfile(m0, md, m1, content), err = ESUCCESS, ino = m, key = datakey(ino, pageno), pageno = n, n * VFS_PAGE_SIZE < m2, datakey(m, n) ∈ pcache, m ∈ files1, ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files1 ⊦ [if key ∈ pcache then {pe := pcache[key]; pe := mkpentry(asynced, pe.page); pcache[key] := pe} else err := EFAIL; n0 := n + 1] ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files1

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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