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Proof step 127 from proof rename-precond-abs (previous step)

fs[ri[inodekey(m4)]].nsubdirs = 0, subdirs(m4, abs-dirs(fs, ri)) = ∅, fs[ri[inodekey(m4)]].directory, fs[ri[inodekey(m3)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].directory, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), 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(fs[ri[dentrykey(m4, str)]].ino) ∈ ri, dentrykey(m4, str) ∈ ri, inodekey(m3) ∈ ri, inodekey(m4) ∈ ri, m3 = m4 → md = md0, links(m4, abs-dirs(fs, ri)) ≠ ∅ ∨ m4 = ROOT_INO, (links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO) ∧ ¬ dentrykey(m3, new_dent.name) ∈ ri ∧ new_dent.negdentry? ∨ (links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO) ∧ inodekey(new_dent.ino) ∈ ri ∧ fs[ri[inodekey(new_dent.ino)]].directory ∧ dentrykey(m3, new_dent.name) ∈ ri ∧ new_dent.ino = fs[ri[dentrykey(m3, new_dent.name)]].ino ∧ new_dent.dentry? ∧ m0 = fs[ri[inodekey(new_dent.ino)]].nlink ∧ m2 = fs[ri[inodekey(new_dent.ino)]].size ∧ m1 = fs[ri[inodekey(new_dent.ino)]].nsubdirs ∧ boolvar ∧ m = new_dent.ino ∧ new_dent.ino ≠ ROOT_INO ∧ abs-children(new_dent.ino, fs, ri) = ∅ ⊦

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(m4, abs-dirs(fs, ri))] flags: <all paths>

Additional information

Used terms: ∅, subdirs(m4, abs-dirs(fs, ri))