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Proof step 289 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, cache_icache[ino].inode = mkinode(m0, md, false, m1, m7, m8), content[pageno] = (content ⊕ mkcontent(m, cache_pcache))[pageno], cache_files[m] = mkfile(m3, md0, # links(m, cache_dirs), content), cache_icache[m] = mkientry(boolvar0, mkinode(m2, md1, true, m4, m5, m6)), cache_files[ino] = mkfile(m9, md2, m10, content0), 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), pageno ∈ content ⊕ mkcontent(m, cache_pcache), ino ∈ cache_files, m ∈ cache_icache, m ∈ cache_files, pageno ∈ content, ino ∈ cache_icache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ content[pageno] = zeropage, mkfile(m8, md, m1, content0 ⊕ mkcontent(ino, cache_pcache)) = mkfile(m8, md, m1, content0 ⊕ mkcontent(ino, cache_pcache[datakey(m, pageno), mkpentry(false, content[pageno])])), datakey(m, pageno) ∈ cache_pcache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base