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Proof step 43 from proof refine-evict (previous step)

fs[ri1[inodekey(m)]].nlink = 0, fs[ri1[inodekey(m)]].directory, orphans(fs, ri1).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri1) -- m, abs-files(fs, ri1)), afs-cons(abs-dirs(fs, ri1), abs-files(fs, ri1)), file-node-cons(fs, ri1), log-cons(log, fs), orphans-cons(fs, ri1, orphans(fs, ri1)), replay-cons-strong(fs, ri1, orphans(fs, ri1), fi, fo, log), ri-inj(ri1), ri-inj(fi), ubifs-cons(fs, ri1, orphans(fs, ri1), fi, fo, log), inodekey(m) ∈ ri1, asynced → boolvar1, ∀ ino. inodekey(ino) ∈ ri1 ∧ fs[ri1[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO → links(ino, fs, ri1) = ∅, ∀ ino. inodekey(ino) ∈ ri1 ∧ fs[ri1[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO → dentrykeys(inodekey(ino), ri1) = ∅ ⊦ m = ROOT_INO, abs-dirs(fs, ri1) -- m = abs-dirs(fs, (ri1 \ datakeys(inodekey(m), ri1)) -- inodekey(m)) ∧ abs-files(fs, ri1) = abs-files(fs, (ri1 \ datakeys(inodekey(m), ri1)) -- inodekey(m)) ∧ abs-keys(orphans(fs, (ri1 \ datakeys(inodekey(m), ri1)) -- inodekey(m))) = abs-keys(orphans(fs, ri1)) -- m

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 2

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