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Proof step 299 from proof refine-write_inode (previous step)

cache_files[m].nlink = m1, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, m1, content), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, 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_files, m ∈ cache_icache ⊦ ⟪icache_set#((cache_icache[m].inode.meta:= md).size:= m2, true; err, cache_icache)⟫ ⟨cache_dirs0 := cache_dirs; afs_write_inode#(mkinode(m, md, false, cache_files[m].nlink, 0, m2); err0, cache_dirs, afs_files; afs_asynced)⟩ (cache_dirs = cache_dirs0 ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced1) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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