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Proof step 277 from proof refine-write_inode (previous step)

cache_dirs[m] = mkdir(m7, md2, m8, m9, entries), cache_files[m] = mkfile(m3, md0, # links(m, cache_dirs), content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m5, md1, # links(m, cache_dirs), content0), 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, ⌊err1⌋ ⊦ ⟨asynced1 := ?⟩ ((asynced1 ↔ asynced0) ∧ err1 = err1), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced1 := ?⟩ ((asynced1 ↔ asynced0) ∧ err1 = err)

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

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