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Proof step 211 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, cache_files[ino] = mkfile(m9, md2, # links(ino, cache_dirs), content0), cache_files[m] = mkfile(m3, md0, # links(m, cache_dirs), content), (∅)[m] = mkientry(boolvar0, mkinode(m2, md1, boolvar, m4, m5, m6)), content[pageno] = (content ⊕ mkcontent(m, cache_pcache))[pageno], cache_icache[ino] = mkientry(boolvar1, mkinode(m0, md, false, m1, m7, m8)), 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_dirs, cache_icache, cache_pcache), n ∈ content0 ⊕ mkcontent(ino, cache_pcache), ino ∈ cache_icache, ino ∈ cache_files, m ∈ cache_files, pageno ∈ content, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ content[pageno] = zeropage, (content0 ⊕ mkcontent(ino, cache_pcache))[n] = (content0 ⊕ mkcontent(ino, cache_pcache[datakey(m, pageno), mkpentry(false, content[pageno])]))[n], datakey(m, pageno) ∈ cache_pcache, m ∈ cache_icache

Heuristic use patterns applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: cache-base name: at-overwrite-content-new seq: ⊦ n ∈ content1 → (content0 ⊕ content1)[n] = content1[n] subst: [n, content1, content0] → [n, mkcontent(ino, cache_pcache), content0] flags: <all paths>

Additional information

Used terms: n, mkcontent(ino, cache_pcache), content0