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Proof step 61 from proof fsync-pages-others-unchanged (previous step)

# buf0 = VFS_PAGE_SIZE, asynced ↔ false, files1[m] = mkfile(m0, md, m1, content), pcache[datakey(m, n)] = mkpentry(true, buf0), err = ESUCCESS, ino = m, key = datakey(ino, pageno), pageno = n, n * VFS_PAGE_SIZE < m2, key ∈ pcache, m ∈ files1, datakey(m, n) ∈ pcache, ∀ 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 ⊦ ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile (files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache[key, mkpentry(asynced, pcache[key].page)])) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
# buf0 = VFS_PAGE_SIZE, files1[m] = mkfile(m0, md, m1, content), pcache[datakey(m, n)] = mkpentry(true, buf0), n * VFS_PAGE_SIZE < m2, m ∈ files1, datakey(m, n) ∈ pcache, ino0 ∈ files0, ∀ 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 ⊦ ino0 = m, mkfile (files1[ino0].size, files1[ino0].meta, files1[ino0].nlink, files1[ino0].content ⊕ mkcontent(ino0, pcache[datakey(m, n), mkpentry(false, buf0)])) = mkfile(files0[ino0].size, files0[ino0].meta, files0[ino0].nlink, files0[ino0].content ⊕ mkcontent(ino0, pcache0)) ∧ ino0 ∈ files1

Rule argument

Additional information

Used simplifier rules: ⊦ mkpentry(boolvar, buf).page = buf; (s)