| ⟨err := ESUCCESS⟩ (mkdentry(dent.name, dirs[p_ino].entries[dent.name]) = old_dent ∧ err = err1), asynced ↔ asynced0, dirs1[pageno] = mkdir(m, md, m0, m1, entries), dirs = dirs1, files = files1, p_ino = pageno, pageno ∈ dirs1, dent.name ∈ dirs[p_ino].entries, links(pageno, dirs1) ≠ ∅ ∨ pageno = ROOT_INO ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (dent = old_dent ∧ err = err1), ⟨if dent.name ∈ entries then {dent := mkdentry(dent.name, entries[dent.name]); err := ESUCCESS} else {dent := negdentry(dent.name); err := ENOENT}⟩ (dent = old_dent ∧ err = err1) |
asynced ↔ asynced0, ESUCCESS = err1, dirs1[pageno] = mkdir(m, md, m0, m1, entries), dirs = dirs1, files = files1, mkdentry(dent.name, dirs[p_ino].entries[dent.name]) = old_dent, p_ino = pageno, dent.name ∈ dirs[p_ino].entries, pageno ∈ dirs1, links(pageno, dirs1) ≠ ∅ ∨ pageno = ROOT_INO ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (dent = old_dent ∧ err = err1), ⟨if dent.name ∈ entries then {dent := mkdentry(dent.name, entries[dent.name]); err := ESUCCESS} else {dent := negdentry(dent.name); err := ENOENT}⟩ (dent = old_dent ∧ err = err1)