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Proof step 10 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = err0, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), synced(cache_files, cache_icache, cache_pcache), m ∈ cache_files ⊦ ⟪afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, cache_dirs; err, cache_files; asynced0); asynced := false; if err = ESUCCESS then pcache_set#(m, pageno, buf, asynced; err, cache_pcache)⟫ ⟨afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, cache_dirs; err0, afs_files; afs_asynced)⟩ (afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced0) ∧ err = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 11:
# buf = VFS_PAGE_SIZE, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, dirs = cache_dirs, err = err0, files = cache_files, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_files, cache_icache, cache_pcache), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files ⊦ ⟪if pre-writepage(inode, pageno, buf, dirs, files) then {{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort; asynced1 := false; if err = ESUCCESS then pcache_set#(m, pageno, buf, asynced1; err, cache_pcache)⟫ ⟨afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, cache_dirs; err0, afs_files; afs_asynced)⟩ (afs_files = (files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced) ∧ err = err0)

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 };