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Proof step 45 from proof fsync-pages-keep-abs (previous step)

pcache[datakey(m, n)] = mkpentry(true, buf), err = ESUCCESS, err0 = ESUCCESS, files = files0[inode.ino, files0[inode.ino].content:= files0[inode.ino].content[pageno, buf]], inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = n, (files0 ⊕ pcache) ⊕ icache = (files1 ⊕ pcache0) ⊕ icache, n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), pre-writepage(inode, pageno, buf, dirs, files0), datakey(m, n) ∈ pcache ⊦ [afs_check_commit#(dirs, files; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n := n + 1] ((files1 ⊕ pcache0) ⊕ icache = (files ⊕ pcache) ⊕ icache)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 46:
# buf = VFS_PAGE_SIZE, pcache[datakey(m, n)] = mkpentry(true, buf), err = ESUCCESS, (files0 ⊕ pcache) ⊕ icache = (files1 ⊕ pcache0) ⊕ icache, n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), datakey(m, n) ∈ pcache, m ∈ files0 ⊦ [afs_check_commit#(dirs, files0[m, files0[m].content:= files0[m].content[n, buf]]; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n0 := n + 1] ((files1 ⊕ pcache0) ⊕ icache = (files0[m, files0[m].content:= files0[m].content[n, buf]] ⊕ pcache) ⊕ icache)

Rule argument

Additional information

Used simplifier rules: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ pre-writepage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)