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Proof step 70 from proof refine-rmdir (previous step)

fs[ri[inodekey(m)]].size = 0, abs-children(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅, abs-children(m, fs, ri) = ∅, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory, fs[ri[inodekey(m)]].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), inodekey(m) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, dentrykey(m, str) ∈ ri, asynced → boolvar, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO ⊦ fs[ri[dentrykey(m, str)]].ino = ROOT_INO

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: dir-entries name: Extension seq: ⊦ entries = entries0 ↔ (∀ str. (str ∈ entries ↔ str ∈ entries0) ∧ entries[str] = entries0[str]) subst: [entries0, entries] → [∅, abs-children(m, fs, ri)] flags: <all paths>

Additional information

Used terms: ∅, abs-children(m, fs, ri)