| # links(m, cache_dirs) = 0, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m1, md1, 0, content0), cache_files[m] = mkfile(m0, md0, 0, content), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, ino = m, pcache = cache_pcache, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), 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, cache_sync → synced(cache_files, cache_icache, cache_pcache), ∀ key. key ∈ pcache → key.data? ⊦ ⟨cache_dirs0 := cache_dirs; afs_evict#(mkinode(m, md, false, 0, 0, m2), cache_asynced; err0, cache_dirs, afs_files)⟩ (cache_dirs = cache_dirs0 ∧ afs_files = ((cache_files -- m) ⊕ evict(ino, pcache)) ⊕ (cache_icache -- m) ∧ err = err0), m = ROOT_INO, m ∈ cache_dirs |
# links(m, cache_dirs) = 0, cache_files[m] = mkfile(m0, md0, 0, content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m1, md1, 0, content0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, err = ESUCCESS, ino = m, pcache = cache_pcache, 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, cache_sync → synced(cache_files, cache_icache, cache_pcache), ∀ key. key ∈ pcache → key.data? ⊦ ⟨afs_evict#(mkinode(m, md, false, 0, 0, m2), cache_asynced; err0, cache_dirs, afs_files)⟩ (cache_dirs = cache_dirs0 ∧ afs_files = ((cache_files -- m) ⊕ evict(ino, pcache)) ⊕ (cache_icache -- m) ∧ err = err0), m = ROOT_INO, m ∈ cache_dirs