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Proof step 40 from proof refine-write_inode (previous step)

asynced ↔ false, cache_dirs[m] = mkdir(m0, md0, # links(m, cache_dirs), m3, entries), cache_icache[m] = mkientry(boolvar, inode0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, icache = cache_icache, inode = inode0.meta:= md, 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), m ∈ cache_dirs, m ∈ cache_icache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨cache_dirs0 := cache_dirs; afs_write_inode#(mkinode(m, md, true, # links(m, cache_dirs), m3, m0); err0, cache_dirs, afs_files; afs_asynced)⟩ ( cache_dirs = cache_dirs0[m, cache_dirs0[m].meta:= md] ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ icache[inode.ino, mkientry(asynced, inode)] ∧ (afs_asynced ↔ asynced0) ∧ err = err0)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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