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Proof step 155 from proof inv-link (previous step)

dirs[ino1] = mkdir(m1, md1, # links(ino1, dirs), m4, entries), files[entries0[str]] = mkfile(m, md, # links(entries0[str], dirs), content), dirs[ino0] = mkdir(m0, md0, # links(ino0, dirs), m3, entries0), c_inode = mkinode(entries0[str], md, false, # links(entries0[str], dirs), 0, m), err0 = ESUCCESS, new_dent = negdentry(p.last), new_inode = mkinode(ino1, md1, true, # links(ino1, dirs), m4, m1), p ≠ ε, afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), ispath(parent(p), ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md0), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, parent(p), ROOT_INO, dirs, files), str ∈ entries0, entries0[str] ∈ files, ino0 ∈ dirs, ino1 ∈ dirs, ¬ entries0[str] ∈ dirs, ¬ p.last ∈ entries, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪afs_link#(mkdentry(str, entries0[str]); new_inode, c_inode, new_dent, err0, dirs, files; asynced)⟫ (of-cons(of, dirs, files) ∧ 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, err0, new_dent, c_inode, new_inode, asynced] flags: <all paths>

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