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Proof step 103 from proof refine-write_inode (previous step)

# links(m, cache_dirs) = cache_dirs[m].nlink, cache_dirs[m] = mkdir(cache_dirs[m].size, md0, cache_dirs[m].nlink, cache_dirs[m].nsubdirs, entries), 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, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨asynced := ?⟩ (cache_dirs[m, cache_dirs[m].meta:= md] = cache_dirs[m, cache_dirs[m].meta:= md] ∧ (asynced ↔ asynced0) ∧ ESUCCESS = ESUCCESS), ⟨fail#(; ; err); asynced := ?⟩ (cache_dirs = cache_dirs[m, cache_dirs[m].meta:= md] ∧ (asynced ↔ asynced0) ∧ ESUCCESS = err), m ∈ cache_icache

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

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