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Proof step 21 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, cache_pcache[datakey(m, pageno)] = mkpentry(boolvar0, buf), 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), m ∈ cache_files, datakey(m, pageno) ∈ cache_pcache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; buf0, err0)⟩ (buf = buf0 ∧ ESUCCESS = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 22:
# buf0 = VFS_PAGE_SIZE, asynced ↔ cache_asynced, cache_pcache[datakey(m, pageno)] = mkpentry(boolvar0, buf1), buf = buf0, dirs = cache_dirs, err = err0, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, inode = mkinode(m, md, boolvar, m0, m1, m2), 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), datakey(m, pageno) ∈ cache_pcache, m ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨if pre-readpage(inode, pageno, buf, dirs, files) then { {if pageno ∈ files[inode.ino].content then buf := files[inode.ino].content[pageno] else buf := zeropage; err := ESUCCESS} or fail#(; ; err)} else abort⟩ (buf1 = buf ∧ ESUCCESS = err)

Rule argument

pos: right 1

Additional information

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