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Proof step 17 from proof crash-neutral-link (previous step)

files[entries0[str]] = mkfile(m1, md2, # links(entries0[str], dirs), content), dirs[m] = mkdir(m0, md1, # links(m, dirs), m2, entries), dirs[ino] = mkdir(m4, md3, # links(ino, dirs), m6, entries0), c_inode = mkinode(entries0[str], md0, false, # links(entries0[str], dirs), 0, m3), dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), new_dent = negdentry(str0), p_inode = mkinode(m, md, true, # links(m, dirs), m2, m0), afs-cons(dirs, files), ino ∈ dirs, str ∈ entries0, m ∈ dirs, entries0[str] ∈ files, ¬ str0 ∈ entries, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨afs_link#(mkdentry(str, entries0[str]); p_inode, c_inode, new_dent, err, dirs, files; asynced)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 18:
dirs[ino] = mkdir(m4, md3, # links(ino, dirs), m6, entries0), dirs[m] = mkdir(m0, md1, # links(m, dirs), m2, entries), files[entries0[str]] = mkfile(m1, md2, # links(entries0[str], dirs), content), c_inode = mkinode(entries0[str], md0, false, # links(entries0[str], dirs), 0, m3), dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), new_dent = negdentry(str0), old_dent = mkdentry(str, entries0[str]), p_inode = mkinode(m, md, true, # links(m, dirs), m2, m0), afs-cons(dirs, files), entries0[str] ∈ files, m ∈ dirs, str ∈ entries0, ino ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO ⊦ ⟨if pre-link(p_inode, c_inode, old_dent, new_dent, dirs, files) then { let p_ino = p_inode.ino in {dirs[p_ino].entries[new_dent.name] := old_dent.ino; dirs[p_ino].size := dirs[p_ino].size + 1; let ino = old_dent.ino in 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} or fail#(; ; err); asynced := ?} else abort⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)), str0 ∈ entries

Rule argument

pos: right 1

Additional information

Used simplifier rules: link: ⊦ ;