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Proof step 62 from proof refine-rmdir (previous step)

fs[ri[inodekey(m)]].nsubdirs = 0, abs-children(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅, subdirs(m, abs-dirs(fs, ri)) = ∅, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].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), dentrykey(m, str) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, inodekey(m) ∈ 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: set-basic, inst: stringset name: Extension seq: ⊦ strings = strings0 ↔ (∀ str. str ∈ strings ↔ str ∈ strings0) subst: [strings0, strings] → [∅, subdirs(m, abs-dirs(fs, ri))] flags: <all paths>

Additional information

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