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Proof step 4 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 ⊦ ⟨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⟩ (dent = old_dent ∧ err = err0)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 5:
⟨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) ⊦ ⟨ 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)⟩ (dent = old_dent ∧ err = err0)
Proof step 33:
⟨afs_lookup#(pageno, dirs1, files1, asynced0; dent, err)⟩ (dent = old_dent ∧ err = err0), asynced ↔ boolvar0, dirs = dirs1, files = files1, p_ino = pageno ⊦ ⟨abort⟩ (dent = old_dent ∧ err = err0), pre-lookup(p_ino, dent, dirs, files)

Proof step 4 from proof eq-io-lookup (previous step)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

Additional information