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Proof step 15 from proof refine-unlink (previous step)

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), 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[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory, fs[ri[dentrykey(m, str)]].ino ≠ ROOT_INO ∧ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink ≠ 0 ∧ (fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink = 1 → links(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅ ++ dentrykey(m, str)) ∧ 0 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs ∧ 1 ≤ fs[ri[inodekey(m)]].size

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 2

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