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Proof step 138 from proof inv-evict (previous step)

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

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: pcache-asm name: inv-evict seq: ∀ key. key ∈ pcache → key.data? ⊦ ⟪pcache_evict#(ino; err, pcache)⟫ ∀ key. key ∈ pcache → key.data? ∧ key.ino ≠ ino subst: [ino, pcache, err] → [m, pcache, err] flags: <all paths>

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