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Proof step 24 from proof refine-lookup (previous step)

dent = mkdentry(old_dent.name, fs[ri[dentrykey(p_ino, old_dent.name)]].ino), fs[ri[dentrykey(p_ino, old_dent.name)]].dentry?, fs[ri[inodekey(p_ino)]].directory, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(p_ino, old_dent.name) ∈ ri, ri[dentrykey(p_ino, old_dent.name)] ∈ fs, inodekey(p_ino) ∈ ri, asynced → boolvar1, fs[ri[inodekey(p_ino)]].nlink ≠ 0 ∨ p_ino = ROOT_INO, links(p_ino, abs-dirs(fs, ri)) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟨afs_lookup#(p_ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; old_dent, err1)⟩ ((asynced → boolvar1) ∧ dent = old_dent ∧ ESUCCESS = err1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 25:
fs[ri[dentrykey(p_ino, old_dent.name)]] = dentrynode(key, m), dent = mkdentry(old_dent.name, m), fs[ri[dentrykey(p_ino, old_dent.name)]].dentry?, fs[ri[inodekey(p_ino)]].directory, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(p_ino) ∈ ri, ri[dentrykey(p_ino, old_dent.name)] ∈ fs, dentrykey(p_ino, old_dent.name) ∈ ri, asynced → boolvar1, links(p_ino, abs-dirs(fs, ri)) ≠ ∅ ∨ p_ino = ROOT_INO, fs[ri[inodekey(p_ino)]].nlink ≠ 0 ∨ p_ino = ROOT_INO ⊦ ⟨afs_lookup#(p_ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; old_dent, err1)⟩ ((asynced → boolvar1) ∧ dent = old_dent ∧ ESUCCESS = err1)

Rule argument

spec: node name: elim-02 seq: ⊦ nd.dentry? → (key = nd.key ∧ m = nd.ino ↔ nd = dentrynode(key, m)) subst: [nd, key, m] → [fs[ri[dentrykey(p_ino, old_dent.name)]], key, m]

Additional information

Used simplifier rules: ⊦ nd.dentry? → (key = nd.key ∧ m = nd.ino ↔ nd = dentrynode(key, m)); (elim) Used terms: fs[ri[dentrykey(p_ino, old_dent.name)]], key, m