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Proof step 214 from proof refine-write_inode (previous step)

cache_files[m] = mkfile(m0, md0, # links(m, cache_dirs), content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m, mkfile(m2, md, # links(m, cache_dirs), content ⊕ mkcontent(m, cache_pcache))] ≠ (cache_files[m, mkfile(m2, md, # links(m, cache_dirs), content)] ⊕ cache_pcache) ⊕ cache_icache, 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 ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced1 := ?⟩ ( (cache_files ⊕ cache_pcache) ⊕ cache_icache = (cache_files[m, mkfile(m2, md, # links(m, cache_dirs), content)] ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced1 ↔ asynced0) ∧ ESUCCESS = err)

User applied rule weakening

And obtained the following new goals

Rule argument

poslist: right 1

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