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Proof step 116 from proof refine-write_inode (previous step)

cache_files[m].nlink = m1, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, m1, content), ¬ asynced2, err = ESUCCESS, inode = mkinode(m, md, false, cache_files[m].nlink, 0, m2), 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 ⊦ ⟪icache_get#(m, cache_icache; asynced2, inode, err); afs_files := (cache_files ⊕ cache_pcache) ⊕ cache_icache; boolvar := false; if err = ESUCCESS ∧ asynced2 then {inode.meta := md; if ¬ boolvar then inode.size := m2; icache_set#(inode, false; err, cache_icache)} else if false then err := EFAIL⟫ ⟨cache_dirs0 := cache_dirs; afs_write_inode#(mkinode(m, md, boolvar, cache_files[m].nlink, 0, m2); err0, cache_dirs, afs_files; afs_asynced)⟩ ( cache_dirs = cache_dirs0 ∧ afs_files = (cache_files[m, (cache_files[m].meta:= md).size:= m2] ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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