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Proof step 34 from proof fsync-pages-others-unchanged (previous step)

pcache[datakey(m, n)] = mkpentry(true, buf0), err = ESUCCESS, n * VFS_PAGE_SIZE < m2, datakey(m, n) ∈ pcache, ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files ⊦ [afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), n, pcache[datakey(m, n)].page, dirs; err, files; asynced1); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n := n + 1] ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 35:
pcache[datakey(m, n)] = mkpentry(true, buf0), buf = pcache[datakey(m, n)].page, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = n, n * VFS_PAGE_SIZE < m2, datakey(m, n) ∈ pcache, ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files ⊦ [if pre-writepage(inode, pageno, buf, dirs, files) then {{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n := n + 1] ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_writepage#(INODE, PAGENO, PBUF, DIRS; ERR, FILES; ASYNCED) {if pre-writepage(INODE, PAGENO, PBUF, DIRS, FILES) then { {FILES[INODE.ino].content[PAGENO] := PBUF; ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ?} else abort };