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Proof step 136 from proof inv-evict (previous step)

# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), err = ESUCCESS, m ≠ ROOT_INO, afs-cons(dirs, files -- m), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, ¬ m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ ⟪icache_delete#(m; err, icache); pcache_evict#(m; err, pcache)⟫ ( icache-cons(icache, dirs, files -- m) ∧ dcache-cons(dcache, dirs, files -- m) ∧ pcache-cons(pcache, dirs, files -- m) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files -- m, icache, pcache)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 137:
# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), err = ESUCCESS, ino = m, afs-cons(dirs, files), afs-cons(dirs, files -- m), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, asynced1 → synced(files, icache, pcache) ⊦ ⟪icache := icache -- ino; pcache_evict#(m; err, pcache)⟫ ( icache-cons(icache, dirs, files -- m) ∧ dcache-cons(dcache, dirs, files -- m) ∧ pcache-cons(pcache, dirs, files -- m) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files -- m, icache, pcache))), m = ROOT_INO, m ∈ dirs

Rule argument

pos: right 1

Additional information

Used simplifier rules: icache_delete#(INO; ERR, ICACHE){ICACHE := ICACHE -- INO};