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Proof step 11 from proof refine-mkdir (previous step)

fs[ri[inodekey(m)]].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(m) ∈ ri, asynced → boolvar, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO ⊦ dentrykey(m, str) ∈ ri, valid-negdentry (mkinode(m, md0, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size).ino, negdentry(str), fs, ri, orphans(fs, ri)) ∧ valid-dir-inode(mkinode(m, md0, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), fs, ri)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-base name: valid-negdentry-with-parent seq: ⊦ valid-negdentry(ino, dent, fs, ri, ro) ↔ dent.negdentry? ∧ valid-parent-ino(ino, fs, ri, ro) ∧ ¬ dentrykey(ino, dent.name) ∈ ri subst: [ro, ri, fs, dent, ino] → [orphans(fs, ri), ri, fs, negdentry(str), mkinode (m, md0, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size) .ino] flags: <all paths>

Additional information

Used terms: orphans(fs, ri), ri, fs, negdentry(str), mkinode (m, md0, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size) .ino