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Proof step 6 from proof eq-io-lookup (previous step)

⟨afs_lookup#(pageno, dirs1, files1, asynced0; dent, err)⟩ (dent = old_dent ∧ err = err0), asynced ↔ boolvar0, dirs = dirs1, files = files1, p_ino = pageno, pre-lookup(p_ino, dent, dirs, files) ⊦ ⟨fail#(; ; err)⟩ (dent = old_dent ∧ err = err0), ⟨if dent.name ∈ dirs[p_ino].entries then {dent := mkdentry(dent.name, dirs[p_ino].entries[dent.name]); err := ESUCCESS} else {dent := negdentry(dent.name); err := ENOENT}⟩ (dent = old_dent ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⟨afs_lookup#(pageno, dirs1, files1, asynced0; dent, err)⟩ (dent = old_dent ∧ err = err0), pageno ∈ dirs1, links(pageno, dirs1) ≠ ∅ ∨ pageno = ROOT_INO ⊦ ⟨fail#(; ; err)⟩ (dent = old_dent ∧ err = err0), ⟨if dent.name ∈ dirs1[pageno].entries then {dent := mkdentry(dent.name, dirs1[pageno].entries[dent.name]); err := ESUCCESS} else {dent := negdentry(dent.name); err := ENOENT}⟩ (dent = old_dent ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ valid-parent-ino(ino, dirs, files) ↔ ino ∈ dirs ∧ (links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO); (s)%⊦ pre-lookup(p_ino, dent, dirs, files) ↔ valid-parent-ino(p_ino, dirs, files); (s)