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Proof step 204 from proof refine-write_inode (previous step)

# links(m, cache_dirs) = cache_files[m].nlink, cache_files[m] = mkfile(m1, md1, cache_files[m].nlink, 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, ¬ m ∈ cache_icache ⊦ ⟨fail#(; ; err); asynced := ?⟩ ( (cache_files ⊕ cache_pcache) ⊕ cache_icache = (cache_files[m, (cache_files[m].meta:= md).size:= m2] ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced0) ∧ ESUCCESS = err), ⟨afs_files := ((cache_files ⊕ cache_pcache) ⊕ cache_icache )[m, mkfile(cache_files[m].size, md, cache_files[m].nlink, cache_files[m].content ⊕ mkcontent(m, cache_pcache)) ]; afs_files[m].size := m2; err := ESUCCESS; asynced := ?⟩ (afs_files = (cache_files[m, (cache_files[m].meta:= md).size:= m2] ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced0) ∧ ESUCCESS = err)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

pos: right 2

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