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Proof step 26 from proof inv-link (previous step)

dirs[ino] = mkdir(m4, md3, # links(ino, dirs), m6, entries0), dirs[m] = mkdir(m1, md2, # links(m, dirs), m5, entries1), files[entries[str]] = mkfile(m0, md4, # links(entries[str], dirs), content0), entries0[str] = entries[str], dirs[ino0] = mkdir(m2, md1, # links(ino0, dirs), m8, entries), c_inode = mkinode(entries[str], md0, false, # links(entries[str], dirs), 0, m3), new_dent = negdentry(str0), p_inode = mkinode(m, md, true, # links(m, dirs), m5, m1), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), entries[str] ∈ files, m ∈ dirs, str ∈ entries0, ino ∈ dirs, ino0 ∈ dirs, str ∈ entries, ¬ str0 ∈ entries1, asynced → synced(files, icache, pcache), links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟪afs_link#(mkdentry(str, entries0[str]); p_inode, c_inode, new_dent, err, dirs, files; asynced0); if err = ESUCCESS then let asynced = false in {icache_set#(p_inode, asynced; err, icache); icache_set#(c_inode, asynced; err, icache); dcache_set#(p_inode.ino, new_dent.name, new_dent; err, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)) ∧ afs-cons(dirs, files))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: afs-asm name: inv-link seq: afs-cons(dirs, files), pre-link(p_inode, c_inode, old_dent, new_dent, dirs, files) ⊦ ⟪afs_link# (old_dent ; p_inode, c_inode, new_dent, err, dirs, files ; asynced)⟫ afs-cons(dirs, files) subst: [old_dent, files, dirs, err, new_dent, c_inode, p_inode, asynced] → [mkdentry(str, entries0[str]), files, dirs, err, new_dent, c_inode, p_inode, asynced0] flags: <all paths>

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