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Proof step 7 from proof crash-neutral-evict (previous step)

asynced ↔ true, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), ino = inode.ino, afs-cons(dirs, files), inode.ino ∈ dirs ∧ inode.nlink = dirs[inode.ino].nlink ∧ inode.size = dirs[inode.ino].size ∧ inode.nsubdirs = dirs[inode.ino].nsubdirs ∧ inode.directory ∨ inode.ino ∈ files ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory ⊦ ⟨if ino ∈ dirs then if dirs[ino].nlink = 0 then dirs := dirs -- ino else if files[ino].nlink = 0 then files := files -- ino⟩ (dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)), inode.ino = ROOT_INO

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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