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Proof step 8 from proof eq-io-lookup (previous step)

⟨afs_lookup#(pageno, dirs1, files1, asynced0; dent, err)⟩ (dent = old_dent ∧ err = err0), dirs1[pageno] = mkdir(m, md, m0, m1, entries), pageno ∈ dirs1, links(pageno, dirs1) ≠ ∅ ∨ pageno = ROOT_INO ⊦ ⟨fail#(; ; err)⟩ (dent = old_dent ∧ err = err0), ⟨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 = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 9:
⟨afs_lookup#(pageno, dirs1, files1, asynced0; dent, err)⟩ (dent = old_dent ∧ err = err0), dirs1[pageno] = mkdir(m, md, m0, m1, entries), pageno ∈ dirs1, links(pageno, dirs1) ≠ ∅ ∨ pageno = ROOT_INO ⊦ ⟨choose err0 with ⌊err0⌋ in err := err0⟩ (dent = old_dent ∧ err = err0), ⟨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 = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};