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Proof step 2 from proof inv-lookup (previous step)

afs-cons(dirs, files), p_ino ∈ dirs, links(p_ino, dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪afs_lookup#(p_ino, dirs, files, asynced; dent, err)⟫ true

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 3:
afs-cons(dirs, files), p_ino ∈ dirs, links(p_ino, dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪if pre-lookup(p_ino, dent, dirs, files) then { 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} or fail#(; ; err)} else abort⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: lookup: ⊦ ;