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Proof step 22 from proof inv-link (previous step)

dirs[m] = mkdir(m1, md2, # links(m, dirs), m4, entries), files[entries0[str]] = mkfile(m0, md1, # links(entries0[str], dirs), content), dirs[ino] = mkdir(m2, md3, # links(ino, dirs), m6, entries0), c_inode = mkinode(entries0[str], md0, false, # links(entries0[str], dirs), 0, m3), new_dent = negdentry(str0), old_dent = mkdentry(str, entries0[str]), p_ino = p_inode.ino, p_inode = mkinode(m, md, true, # links(m, dirs), m4, m1), old_dent.dentry?, afs-cons(dirs, files), pre-link(p_inode, c_inode, old_dent, new_dent, dirs, files), ino ∈ dirs, str ∈ entries0, m ∈ dirs, entries0[str] ∈ files, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪let ino = old_dent.ino in {dirs := dirs[p_ino, dirs[p_ino].entries:= dirs[p_ino].entries[new_dent.name, old_dent.ino]] [p_ino, dirs[p_ino, dirs[p_ino].entries:= dirs[p_ino].entries[new_dent.name, old_dent.ino]][p_ino] .size:= (dirs[p_ino, dirs[p_ino].entries:= dirs[p_ino].entries[new_dent.name, old_dent.ino]][p_ino].size + 1) ]; afs_inc_nlink#(ino; dirs, files)}; new_dent := mkdentry(new_dent.name, old_dent.ino); afs_inode_sync#(p_inode; dirs, files); afs_inode_sync#(c_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(old_dent.ino, dirs, files); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files), str0 ∈ entries

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

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