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Proof step 112 from proof rename-precond-abs (previous step)

fs[ri[inodekey(m4)]].directory, fs[ri[inodekey(m3)]].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(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) ∧ 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 ∧ m1 = 0 ∧ ¬ boolvar ∧ m = new_dent.ino ∧ inodekey(new_dent.ino) ∈ ri ∧ ¬ fs[ri[inodekey(new_dent.ino)]].directory, links(m4, abs-dirs(fs, ri)) ≠ ∅ ∨ m4 = ROOT_INO ⊦ 0 = fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].directory

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-inv name: file-node-cons seq: ⊦ file-node-cons(fs, ri) ↔ (∀ ino. inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → fs[ri[inodekey(ino)]].nsubdirs = 0) subst: [ri, fs] → [ri, fs] flags: <all paths>

Additional information

Used terms: ri, fs